User:RiggedMint/Sandbox2

ʜɪ﹗ ɪ’ᴍ ᴀ51.ᴀʀᴄʜᴀᴇᴏʟᴏɢɪsᴛ.

ᴡᴇʟᴄᴏᴍᴇ 2 ᴍʏ ᴜsᴇʀᴘᴀɢᴇ﹗

𝓐𝓵𝓵 𝓲𝓼 𝓪 𝔀𝓸𝓻𝓴 𝓲𝓷 𝓹𝓻𝓸𝓰𝓻𝓮𝓼𝓼. 𝓔𝓿𝓮𝓻𝔂𝓽𝓱𝓲𝓷𝓰 𝔀𝓲𝓵𝓵 𝓵𝓲𝓷𝓴 𝓽𝓸𝓰𝓮𝓽𝓱𝓮𝓻. 𝓐𝓵𝓵 𝔀𝓸𝓻𝓭𝓼 𝔀𝓲𝓵𝓵 𝓱𝓪𝓿𝓮 𝓮𝓽𝔂𝓶𝓸𝓵𝓸𝓰𝓲𝓬𝓪𝓵 𝓵𝓲𝓷𝓴𝓼, 𝓲𝓷 𝓪𝓷 𝓸𝓻𝓰𝓪𝓷𝓲𝔃𝓮𝓭 𝓼𝓾𝓹𝓮𝓻𝓼𝓬𝓻𝓲𝓹𝓽 𝓼𝔂𝓼𝓽𝓮𝓶. 𝓒𝓸𝓷𝓽𝓮𝓷𝓽 𝔀𝓲𝓵𝓵 𝓵𝓲𝓷𝓴 𝓽𝓸 𝓦𝓲𝓴𝓲𝓹𝓮𝓭𝓲𝓪 𝓹𝓪𝓰𝓮𝓼 𝔀𝓱𝓮𝓷𝓮𝓿𝓮𝓻 𝓹𝓸𝓼𝓼𝓲𝓫𝓵𝓮.

Sohte aramas pahn idihng ehng uhk kehn ihdehng ehu peliehn lahmalahm.

~UDHR-PON I.20.2

𝔓𝔢𝔯 𝔚𝔦𝔨𝔦𝔭𝔢𝔡𝔦𝔞 𝔤𝔲𝔦𝔡𝔢𝔩𝔦𝔫𝔢𝔰, 𝔦𝔣 𝔞 𝔭𝔞𝔤𝔢 𝔩𝔦𝔨𝔢 𝔱𝔥𝔦𝔰 𝔦𝔰 𝔣𝔬𝔲𝔫𝔡 𝔱𝔬 𝔥𝔞𝔳𝔢 𝔦𝔫𝔣𝔬𝔯𝔪𝔞𝔱𝔦𝔬𝔫 𝔰𝔢𝔤𝔪𝔢𝔫𝔱𝔰 𝔟𝔢𝔱𝔱𝔢𝔯 𝔰𝔲𝔦𝔱𝔢𝔡 𝔞𝔰 𝔦𝔫𝔡𝔦𝔳𝔦𝔡𝔲𝔞𝔩 𝔞𝔯𝔱𝔦𝔠𝔩𝔢𝔰, 𝔱𝔥𝔢𝔰𝔢 𝔰𝔢𝔤𝔪𝔢𝔫𝔱𝔰 𝔠𝔞𝔫 𝔟𝔢 𝔪𝔞𝔡𝔢 𝔰𝔱𝔲𝔟 𝔞𝔯𝔱𝔦𝔠𝔩𝔢𝔰, 𝔞𝔫𝔡 𝔱𝔥𝔢𝔦𝔯 𝔠𝔬𝔫𝔱𝔢𝔫𝔱 𝔪𝔬𝔳𝔢𝔡. ℑ𝔫 𝔱𝔥𝔞𝔱 𝔠𝔞𝔰𝔢, 𝔴𝔥𝔞𝔱 𝔴𝔦𝔩𝔩 𝔯𝔢𝔪𝔞𝔦𝔫 𝔥𝔢𝔯𝔢 𝔞𝔯𝔢 𝔩𝔦𝔫𝔨𝔰 𝔱𝔬 𝔱𝔥𝔬𝔰𝔢 𝔫𝔢𝔴𝔩𝔶-𝔠𝔯𝔢𝔞𝔱𝔢𝔡 𝔞𝔯𝔱𝔦𝔠𝔩𝔢𝔰; 𝔭𝔬𝔰𝔰𝔦𝔟𝔩𝔶 𝔞 𝔬𝔫𝔢-𝔩𝔦𝔫𝔢 𝔡𝔢𝔰𝔠𝔯𝔦𝔭𝔱𝔦𝔬𝔫.

Aʟʟ ᴘᴇᴏᴘʟᴇs ᴀʀᴇ ᴛᴏ ʙᴇ ᴛʀᴇᴀᴛᴇᴅ ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴏɴ ᴡɪᴋɪᴘᴇᴅɪᴀ. Lᴀɴɢᴜᴀɢᴇ ɪᴢ ᴀ sᴇɴsɪᴛɪᴠᴇ ᴛᴏᴘɪᴄ, ʙᴜᴛ ʙᴇ ᴘʀᴇᴘᴀʀᴇᴅ ᴛᴏ ᴇɴᴄᴏᴜɴᴛᴇʀ ᴍᴀᴛᴜʀᴇ ᴛᴏᴘɪᴄs. I ᴍʏsᴇʟꜰ ᴀᴍ ᴀ ɴᴇᴡ ᴜsᴇʀ, ᴀɴᴅ ᴡɪʟʟ ᴄᴏɴᴛɪɴᴜᴇ ᴛᴏ ɪᴍᴘʀᴏᴠᴇ. Nᴇᴡ ᴜsᴇʀs, ᴏʀ ɴᴇᴡ ꜰʀɪᴇɴᴅs, ᴀʀᴇ ᴏꜰ ᴄᴏᴜʀsᴇ ᴍᴏʀᴇ ᴛʜᴀɴ ᴡᴇʟᴄᴏᴍᴇ ᴛᴏ ᴅɪʀᴇᴄᴛʟʏ ᴄᴏɴᴛᴀᴄᴛ ᴍᴇ, ᴡʜᴇᴛʜᴇʀ ᴛᴏ ᴄʜᴀᴛ ᴄᴀsᴜᴀʟʟʏ ᴏʀ ᴏɴ ᴍᴀᴛᴛᴇʀs ᴏꜰ ᴍʏ ᴇxᴘᴇʀᴛɪsᴇ. Gᴇᴛᴛɪɴɢ ᴍᴀᴅ ᴀɴᴅ ʀᴀɢᴇǫᴜɪᴛᴛɪɴɢ ɪs ɴᴏᴛ ᴡʜᴀᴛ ᴇɴᴄʏᴄʟᴏᴘᴇᴅɪsᴛs ᴅᴏ; ɴᴇᴠᴇʀᴛʜᴇʟᴇss, ᴅᴏ ɴᴏᴛ ᴀɴᴛᴀɢᴏɴɪᴢᴇ. Uɴᴅᴇʀsᴛᴀɴᴅ. Iꜰ ʏᴏᴜ ꜰɪɴᴅ ᴀ ᴘᴀɢᴇ ʟᴀᴄᴋɪɴɢ ɪɴ ᴏʀɢᴀɴɪᴢᴀᴛɪᴏɴ ᴏʀ ꜰᴏʀᴍᴀᴛᴛɪɴɢ, ʙᴇ ʜᴇʟᴘꜰᴜʟ: Sʜᴏᴡ ᴀ ᴜsᴇʀ ʜᴏᴡ ᴛᴏ ꜰᴏʀᴍᴀᴛ ᴀ ᴘᴀɢᴇ; ᴅᴏɴ’ᴛ ᴊᴜsᴛ ɪɴꜰᴏʀᴍ ᴛʜᴇᴍ ᴏꜰ ᴀ ᴅᴇᴀᴅʟɪɴᴇ- ɢɪᴠᴇ ᴀ ʜᴇʟᴘɪɴɢ ʜᴀɴᴅ. Tᴇᴀᴄʜ ᴡʜᴀᴛ ʏᴏᴜ ᴋɴᴏᴡ. Iɴᴅɪᴠɪᴅᴜᴀʟs ᴀʀᴇ ᴏꜰᴛᴇɴ ᴘᴏᴏʀ ᴊᴜᴅɢᴇs ᴏꜰ ᴛʜᴇɪʀ ᴏᴡɴ ᴠᴀʟᴜᴇ; ᴡʜᴀᴛᴇᴠᴇʀ ᴏᴜᴛᴏꜰᴛʜᴇᴡᴀʏ ᴋɴᴏᴡʟᴇᴅɢᴇ ʏᴏᴜ ʜᴀᴠᴇ ᴄᴏᴜʟᴅ ʙᴇ ɪᴍᴘᴏʀᴛᴀɴᴛ ᴛᴏ ᴏᴜʀ ʟɪʙʀᴀʀʏ. Cᴏɴsɪᴅᴇʀ ɪᴛ ᴀ ꜰᴀɪʟᴜʀᴇ ɪꜰ ᴀ ᴘᴀɢᴇ ɪs ᴅᴇʟᴇᴛᴇᴅ, ɪꜰ ᴀɴʏ ɢᴏᴏᴅ ᴄᴏᴜʟᴅ ʜᴀᴠᴇ ᴄᴏᴍᴇ ᴏꜰ ɪᴛ. Pʟᴇᴀsᴇ ʙᴇ ᴘᴀᴛɪᴇɴᴛ; ᴀ ᴅɪsᴏʀɢᴀɴɪᴢᴇᴅ ꜰᴇᴡ ᴋɪʟᴏs ᴡɪʟʟ ɴᴏᴛ ᴏᴠᴇʀʟᴏᴀᴅ ᴏᴜʀ sᴇʀᴠᴇʀs. Uᴛɪʟɪᴛᴀʀɪᴀɴɪsᴍ ɪs ᴛʜᴇ ᴘʜɪʟᴏsᴏᴘʜʏ ᴛʜᴀᴛ ᴀʟʟ ᴛʜɪɴɢs ᴄᴀɴ ʙᴇ ᴘᴜᴛ ᴛᴏ ɢᴏᴏᴅ ᴜsᴇ. Zᴇʀᴏ ᴛᴏʟᴇʀᴀɴᴄᴇ ɪs ʜᴀᴅ ʜᴇʀᴇ ꜰᴏʀ ʙᴜʟʟʏɪɴɢ, ʀᴀᴄɪsᴍ, sᴇxɪsᴍ, ᴏʀ ʜᴀᴛᴇᴅʀɪᴠᴇɴ sᴘᴇᴇᴄʜ, ʙᴜᴛ ꜰʀᴇᴇ ᴇxᴘʀᴇssɪᴏɴ ᴀɴᴅ ᴛʜᴇ ᴀᴄᴄᴇssɪʙɪʟɪᴛʏ ᴏꜰ ᴀʟʟ ᴛᴏᴘɪᴄs ᴛᴏ ᴇᴠᴇʀʏᴏɴᴇ, ɪɴᴄʟᴜᴅɪɴɢ ᴘᴀɢᴇ ʜɪsᴛᴏʀɪᴇs, ɪs ᴘᴀʀᴛ ᴏꜰ ᴡɪᴋɪᴘᴇᴅɪᴀ’s ɢᴏᴀʟ: ᴀɴ ᴏᴘᴇɴ ᴀɴᴅ ꜰʀᴇᴇ ᴡᴇʙ. Zᴇᴀʟᴏᴜsʏ ᴏᴠᴇʀᴍᴏɴɪᴛᴏʀɪɴɢ ᴀ ᴘᴀʀᴛɪᴄᴜʟᴀʀ ᴘᴀɢᴇ ᴡɪʟʟ ʀᴀɪsᴇ ᴇʏᴇʙʀᴏᴡs, ʙᴜᴛ ᴡᴇ ɴᴇᴇᴅ ɢᴏᴏᴅ ᴍᴏᴅᴇʀᴀᴛᴏʀs. Lᴏsᴇ ᴛʜᴇ ɢᴀʏᴍᴇʀ ᴍᴇɴᴛᴀʟɪᴛʏ. Eᴠᴇʀʏ ᴇᴅɪᴛ ɪs ɴᴏᴛ ᴀ ᴡɪɴ, ᴀɴᴅ ɪᴛ ɪs ɴᴏᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏʀ sɪᴢᴇ ᴏꜰ ᴇᴅɪᴛs ʏᴏᴜ ᴍᴀᴋᴇ, ʙᴜᴛ ᴛʜᴇ ᴄᴏɴᴛʀɪʙᴜᴛɪᴏɴ ʏᴏᴜ ᴀᴅᴅ ᴛᴏ ᴏᴜʀ sʜᴀʀᴇᴅ ᴋɴᴏᴡʟᴇᴅɢᴇ. Dᴏɴ’ᴛ ᴍᴀᴋᴇ ᴀ ᴊᴏᴋᴇ ʙʏ ᴡᴀsᴛɪɴɢ ᴛʜᴇ ᴛɪᴍᴇ ᴏꜰ ᴀɴʏᴏɴᴇ. Eᴠᴇʀʏ ᴅᴀʏ ᴡᴇ sᴘᴇɴᴅ ɪs ᴏɴᴇ ᴛʜᴀᴛ ɴᴇᴠᴇʀ ʀᴇᴛᴜʀɴs: ᴛʜɪs ᴅᴀʏ’s ᴛʜᴇ ᴏɴᴇ ʀᴇᴍᴇᴍʙᴇʀᴅ As ᴛʜᴇʏ ʜᴀᴅ ɴᴏᴛ ʏᴇᴛ ʙᴇɢᴜɴ ᴛᴏ ɢᴇᴛ ɪᴛ ʀɪɢʜᴛ. Fᴇᴀʀ ᴀ ʟᴏsᴛ ᴅᴀʏ. Fᴇᴀʀ ᴀʙᴏᴠᴇ- ᴡᴇ ᴡɪʟʟ ʜᴀᴠᴇ 6 ʜᴏᴜʀs’ ɴᴏᴛɪᴄᴇ ᴀᴛ ᴍᴀx ᴏꜰ ᴇxᴛʀᴀᴛᴇʀʀᴇsᴛʀɪᴀʟ ᴛʜʀᴇᴀᴛs ʟɪᴋᴇ ᴛʜᴇ ᴄᴀʀʀɪɴɢᴛᴏɴ ᴏꜰ 9859, ᴏʀ ᴛʜᴇ ᴄʜᴇʟʏᴀʙɪɴsᴋ ᴇᴠᴇɴᴛ ᴏꜰ 10013. A ᴅɪʀᴇᴄᴛ ʜɪᴛ ᴄᴀɴ ᴅᴇsᴛʀᴏʏ- Eᴠᴇʀᴛʜɪɴɢ ᴡᴇ ʜᴀᴠᴇ ɴᴏᴛ sᴀᴠᴇᴅ ɪɴ ʜᴀʀᴅ ᴘʀɪɴᴛ ᴄᴏᴘʏ. Dᴏɴ’ᴛ ᴛᴀᴋᴇ ɪᴛ ᴏɴ ꜰᴀɪᴛʜ ᴛʜᴀᴛ ᴏᴜʀ ᴅᴀᴛᴀ ᴡɪʟʟ ʙᴇ ʜᴇʀᴇ ᴛᴏᴍᴏʀʀᴏᴡ.

𝓐𝓬𝓴𝓷𝓸𝔀𝓵𝓮𝓭𝓰𝓮 𝓽𝓱𝓪𝓽 𝓼𝓸𝓶𝓮 𝓭𝓲𝓼𝓪𝓫𝓲𝓵𝓲𝓽𝓲𝓮𝓼 𝓶𝓪𝔂 𝓫𝓮 𝓾𝓷𝓼𝓮𝓮𝓷 𝓸𝓻 𝓸𝓾𝓽𝓼𝓲𝓭𝓮 𝓽𝓱𝓮 𝓶𝓸𝓭𝓮𝓻𝓷 𝓾𝓷𝓭𝓮𝓻𝓼𝓽𝓪𝓷𝓭𝓲𝓷𝓰 𝓸𝓯 𝓹𝓼𝔂𝓬𝓱𝓸-𝓹𝓱𝔂𝓼𝓲𝓸𝓵𝓸𝓰𝔂 (𝓽𝓱𝓮 𝓶𝓲𝓷𝓭 𝓪𝓷𝓭 𝓫𝓸𝓭𝔂):

ᴀᴜʀᴀʟ ᴅɪʟᴀᴛɪᴏɴ (ᴏꜰ ᴛʜᴇ ɪɴɴᴇʀ ᴇᴀʀ) ɪs ᴀ ʟᴀʀɢᴇʟʏ sᴛᴜᴅɪᴇᴅ ᴘʜᴇɴᴏᴍᴇɴᴏɴ ᴛʜᴜᴏʜᴛ ᴛᴏ ʙᴇ ɪɴ sᴏᴍᴇ ᴡᴀʏ ᴄᴏɴɴᴇᴄᴛᴇᴅ ᴡɪᴛʜ sɪɴᴜsᴇs ᴀɴᴅ ʙʀᴇᴀᴛʜɪɴɢ; ʙᴜᴛ ʟɪᴋᴇ ᴀʟʟ ᴘʜᴇɴᴏᴍᴇɴᴀ ʀᴇʟᴀᴛᴇᴅ ᴛᴏ ᴛʜᴇ ᴀᴜᴅɪᴏᴠɪsᴜᴀʟ ᴄᴀᴘ, ɪɴᴄᴏʀʀᴇᴄᴛʟʏ ᴄᴀʟʟᴇᴅ ᴛʜᴇ ᴀᴜᴅɪᴛᴏʀʏ ᴄᴀᴘ ʙʏ ꜰʀᴇᴜᴅ, ɪᴛ ɪs ɴᴏᴛ ᴅᴇᴇᴘʟʏ ᴜɴᴅᴇʀsᴛᴏᴏᴅ.

END OF LEAD

Page plan: Main lead TOC (TOPICS I WANT TO LINK PAGES FOR/HELP CREATE/EDIT) Personal intro Wiki navigation and a shortlist of rules A Guide to Wikitext On Red and Blue text

Switchable fonts: 1 2 3 4

A Table of Contents

1 Calendar systems 12 ADA 13 G 2 Languages 21 Ænglish 212 Ænglish vs English 213 Development of the Language 214 Greek and Latin borrowing 215 Literal language 216 Puns 217 Sarcasm 218 Coded language 2181 Backwardsing 2182 In Two The Woods 21821 Back words 2183 Fauxeauoin 21831 Dielemonfuhrer 21832 D'limònfleur 21833 Del jam en viola 21834 De jan em violei 21835 Pig Latin 2184 Sword 219 Tones 21J Written scripts/character list 21J1 Standard alphanumeric AaBbCcDdEeFfGgHhIiJjKkLlMmNnOoPpQqRrSsTtUuVvWwXxYyZz0123456789 21J2 Subscripts 21J3 Superscripts 21J4 Small majescules] ᴀʙᴄᴅᴇꜰɢʜɪᴊᴋʟᴍɴᴏᴘǫʀsᴛᴜᴠᴡxʏᴢ 21J5 Archaic letters 21J6 Alternate/Variant characters 21J61 Ligatures 21J62 Standard Text Formating 21J621 Bold 21J622 Italics 21J623 Underlining 21J63 Special Letter/Text Formatting 21J631 Backwards, Mirrored &/o Rotated 21J632 Overlining 21J64 Special Scripts 21J641 Calligraphic 21J5411 Blackletter 21J6412 Cursive 21J7 The Vestige Letter Æ] 22 Akkadoo (Akkadian/Babylonian) 221 Dialects 222 Descent Abrahamic races 2221 Arabic languages 2222 Hebrew 2223 On the tragedy of refusing to fight God:

Solomon means wisdom; why's this (a) man? Abraham was a fool. Fear God? Sure. But no person is worthy to lead who succumbs to fear, of anything. A wise man (relatively speaking) would have only cut his babys' half. Half for each [[

<a href="https://simple.m.wikipedia.org/wiki/Isaac" onclick="window.open('https://simple.m.wikipedia.org/wiki/Ishmael'); return true;"></a>

the two boys]].

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Personal Intro: 𝓗𝓮𝓵𝓵𝓸 𝔀𝓸𝓻𝓵𝓭! 𝓘'𝓶 𝓐51.𝓪𝓻𝓬𝓱𝓪𝓮𝓸𝓵𝓸𝓰𝓲𝓼𝓽. 𝓜𝔂 𝓼𝓹𝓮𝓬𝓲𝓪𝓵𝓽𝔂 𝓲𝓼 𝓵𝓲𝓷𝓰𝓾𝓲𝓼𝓽𝓲𝓬 𝓪𝓷𝓽𝓱𝓻𝓸𝓹𝓸𝓵𝓸𝓰𝔂, 𝔀𝓱𝓲𝓬𝓱 𝓲𝓷𝓬𝓵𝓾𝓭𝓮𝓼 𝓶𝓪𝓽𝓱𝓮𝓶𝓪𝓽𝓲𝓬𝓼. 𝓘'𝓶 𝓮𝔁𝓬𝓲𝓽𝓮𝓭 𝓽𝓸 𝓶𝓪𝓴𝓮 𝓽𝓱𝓲𝓼 𝓹𝓪𝓰𝓮, 𝔀𝓱𝓲𝓬𝓱'𝓵𝓵 𝓼𝓱𝓸𝓻𝓽𝓬𝓾𝓽𝓼 𝔂𝓸𝓾 𝓽𝓱𝓻𝓸𝓾𝓰𝓱 𝓪𝓻𝓮𝓪𝓼 𝓸𝓯 𝓶𝔂 𝓲𝓷𝓽𝓮𝓻𝓮𝓼𝓽, 𝓪𝓷𝓭 𝓭𝓲𝓻𝓮𝓬𝓽 𝔂𝓸𝓾 𝓽𝓸 𝓽𝓱𝓮 𝓸𝓯𝓯𝓲𝓬𝓲𝓪𝓵 𝓹𝓪𝓰𝓮𝓼

CV: UHM 10013-17 ADA, Grad sGPA 4.0/4: AScw, Jour; BBA Fin; m.s Amer S, Econ; cer.s Data An., Art of Leadership.

Contact: A51@archaeologist.com

Sunrise E Orbital tilt 0 Axial Years Days AU 1 Eccentricity

On red and blue text

As a Wiki writer there are both good and bad things implicit in blue text and red text. If a page is mostly blue, it means it links to articles that exist. A page can be too blue, if a writer has overused hyperlinks (a word should only be linked in its first appearance, or wherein it is categorized). But a blue page can also be good, if a writer has created a page that provides a structured overview. We want to see all our pages eventually turn more blue, but our structural goal is to use backlinks properly, so as not to have a database that is recursive. We don't want a reader to be trapped in cycles. It should be easy to navigate forwards and backwards through the site. If a page is mostly red, this can be a bad thing if it is attempting to link to topics incorrectly, or if it is in essence requesting pages for subjects that should instead be outlinked. If the page is red, this can be a very good thing if the linked subjects deserve their own pages.

Modern Greek alphabet with lowercases

Α α, Β β, Γ γ, Δ δ, Ε ε, Ζ ζ, Η η, Θ θ, Ι ι, Κ κ, Λ λ, Μ µ, Ν ν, Ξ ξ, Ο ο, Π π, Ρ ρ, Ʃ σ/ς, Τ τ, Υ υ, Φ φ, Χ χ, Ψ ψ, and Ω ω. "Alpha, beta, gamma, delta, epsilon, zeta, eta, theta, iota, kappa, lambda, mu, nu, xi, omicron, pi, rho, sigma, tau, upsilon, phi, chi, psi, and omega."

See also: Θ vs Φ (Conflation in math)

Archaic Greek letters: F M T/ϡ И/V И(ts) Ⱶ Ϙ 日 □ ᛒ digamma, san, ssanpi, vylian, tsan, heia, qoppa, hon, eye, bee

Example of Akkadoo (Babylonian)

Ee-nah kah-ti say-rey-toom, rah-bee-ah-noo, shah loop-shoo eez-tayn. Bah-shoo see-nah shay-rey-too, ach-hoom ah-ha, on-noom sheez-boo, on-noo]] sah-moo. Eep-shoo nah-pphalloo ah-nah shay-rayt shah, moo mah may-shoo, lee-boom, ooh loo, wvay-doom ay-zay-boo mah-tee-mah ayl-lee-ah-too lah-shushoo, El.

Rouge French translation: Ère, contagieuse anneaux, le bie 'and un. Soi deux les anneaux, e, une lait e l'autre rogue. E résumer leut rein plus de trop, maxim, maths zéro.

Goldbach's Conjecture

In German, the restated definition of Goldbach's Conjecture is as follows (while I can decipher some of the original, I have trouble reading such handwriting and in particular cannot really differentiate between the letters b, d, s, z, and a few others, though I quite like the way his f's look):

Jede gerade Zahl, die größer als 2 ist, ist Summe zweier Primzahlen.

Goldbach's uses the elevated form of the adjective for two, as in the phrase, "Vater zweier Kinder" (father of two children), to mean two that are different. Zweir, not zwein or zwei. Take the example sentence, "Die Zahl 22 besteht aus zwei Zweien." (The number 22 is made of two 2s.) Where in English we write the figure 2 for the second to save confusion, German has a sophisticated adjectival noun system for such situations. In this way, Christian Goldbach's Conjecture is a very plain puzzle, since he specifically states in his letter that 1, 2, and 3, are prime numbers. He was perhaps inspired by their being the only 3 consecutive primes, and knowing such a statement was revolutionary at the time, since prime numbers were a new concept, drew table graphs illustrating his thoughts in a letter to Euler. There is a debate within the mathematical community as to whether 2 is prime, and the majority insist 1 is not "because it has no factors but itself, and 'a prime number is "one that has 'only itself and 1' as factors"'"; reciting such thumb rules is a product of heuristics. As they were described upon conception, prime number is a number with no factors *that are different from* either itself or 1. Therefore, the number 1, can by no normal definition be excluded, as Goldbach himself was stating when he used 4 as an example. He said 4 instead of 2, because 2 cannot be broken into two different components; as components mean here whole numbers, 2 can only be separated into 1 and 1. As for 2, no proper definition of prime numbers says they cannot be composite, as 2 is. It is rather casual definitions of compositionality that state, erroneously, that composed numbers cannot be also prime. Goldbach's conjecture is a corollary with 3 and higher primes being always separable into an even and an odd, to 2's being the only and thus highest even prime. 2 is rather special, but can never be a prime composite of 22, as 3 can not be of 33, 5 of 55, 7 of 77, 11 of 1111, 13 of 1313, 17 of 1717, 19 of 1919, 23 of 2323, 29 of 2929, etc.

M Puzzles

The Millennium Prize Problems, or M puzzles, are math puzzles, each with a USD $1-million reward for a solution that satisfies the Clay Institute.

These M puzzles...

Hodge P5 reads so badly without its parenth's, that it qualifies as a puzzle! It's A.

If that's 1, an' x is y, that's the Weierstrass elliptic knowing nothing. Just a Sept. That's BS.

Started with Wiles' which is a sex-, and quite simply cheated. Nominus. A pun. Take. Less no percent.

Since you can't seperate the 6 A's, P.

Navier-stokes— Stretching the letter to keep triangle area: this is a 2D-incompressible. I'll add depth... as desired.

Yang-Mills Gap challenge: on the first tesselation of the fancy R, gravity waves girl should get. this means Katie Bouman, who developed a crucial algorithm for the imaging methods while she was a graduate student in computer science and artificial intelligence at the Massachusetts Institute of Technology.

Reimanns. It's a heart.

Poincaré O🐜🧍‍♂️ The sphere, can it really be shrunk down to a single point? Such a conjecture hasn't necessary mathematical structure for that characterization to constitute a one-way. So, one could reverse the terms to imply the skies must be spherically expanding. Could it not be the shape of a man or ant?

The Riemann Hypothesis The Navier-Stokes Equations The Yang-Mills And Mass Gap The P versus NP problem The Hodge Conjecture The Birch And Swinnington-Dyer Conjecture The Poincaré Conjecture

Riemann's, NS

Take a triangle with sides of 1, 1, and square root 2, and orient it so the hypotenuse is its base. Its defined area simplifies to 1 over 2. A half can be expressed as point 5 over 1, 1 over 2 over 1, 2 over 4, 3 over 6, or any fraction whose denominator is twice the numerator. Put over 1 as many times as you want.

This can be made a function with zeros only at the negative *even* integers (-2, -4, -6, -8...) and at complex numbers with real part one-half; a half being a quite palpable figure. It deserves an explanation first, that halves are half of some base unit, and not necessarily does a simplified fraction express accurately its geometric significance.

Now, we can of course give our triangle an area of 1 by doubling its height; but if we instead want a shape that exists at each of these 3 new points, and still has half area, we can make some or all of our straight lines into curves.

However, if we chose to keep all 3 straight, we could call it a 3-body problem and consider the moving points as planets, or bodies.

If we choose to keep 2 of them straight, whichever line we choose to bend must stretch—as a straight line is the shortest distance between planar points—and become concave relative to its partners.

A curve need not be a symmetrical arch. The part which we might call a bridgetop—that is, if we construct our 2 straight lines like the diagonals of a capital lambda, like an A without it's center stroke, (and have a real part contained in the corner, and an imaginary part like a flat dome over a straight line distance over a straight base whose value is 0 on the y-axial plane), the bridgetop, or highest point on this arch, need not be in the center of our x-axial distance; it need not form a perpendicular bisector with our 0 line, whose distance remains square root 2 (from the base of leg a to the base of leg b); but it cannot be anywhere on the curve either, as of course it is confined by the lambda.

This was a little wordy. It's a lambda with a bubble under it.

Consider this "bubble" an incompressible 2-dimensional fluid. Dimensional expansion can be done in many ways, since it's entirely arbitrary how much we lengthen our z, and shorten our y or x axes. Nevertheless you see how I could have fooled you by starting with a 3-dimensional shape.

Recall 3 body problems; & see invention of calculus, above.

But the Riemann Hypothetical is not one of pure mathematics either. If we choose to keep 1 line straight, either both curved lines must be concave; or one can be convex, but to an inverse relationship. In the former case, where the height, to reiterate, has been doubled for simplicity, realize that the height can be made any distance. As we make it higher and higher, a concave curve must become more and more inwardly curved.

In this later example, 2 concave lines, curving the more height we give our construction, we are left with a model that is seismic: a straight 0 line its base, with real areas of a half like those drawn by a moving needle on a seismograph. (Obviously, on a geologic instrument reacting to actual activity, the spikes' bases can be any; they approach this spacial definition the larger they are).

If instead we wanted half the height, we could instead opt to curve both our lines convexly; here, as our base line is shortened—supposing we move our graph each time, taking an equal amount from each end—the base approaches a length of 0, but cannot reach a point by this method, only getting shorter and shorter; our construction xertellickly approaches a cardioid: if we let these arches charm us, the shape gets closer and closer to a heart.

Hodge

Hodge is famous for writing 5 postulates in Greek and English. The English is: "1. Let it have been postulated [he gives a footnote about the Greek root of 'postulate'] to draw a straight-line from any point to any point. [From this phrasing, his spoken emphasis seems to have been on the final prepositions 'from' and 'to'; his hyphenation of the phrase 'straight line' indicates he pronounced it as a single word with the emphasis upon its first syllable: STRAYTlein as opposed to the longer STRAYT LEIN giving full length to each syllable; the former pronounceable as 2 ons [like fish, the word on (pronounced "own") is irregular, and its plural can also be itself], also called moras, the later has 3 of them. He says it with a similar inflection as one might say, "HEADline."] "2. And to produce a finite straight-line continuously in a straight-line. [A bit redundant, but he appears to have been writing continuously.] "3. And to draw a circle with any center and radius. [Hodge means, 'a circle whose center point can be anywhere relative to lines or other circles or negative space on the plane, and having any radial distance.'] "4. And that all right angles are equal to each other. [Being defined as 90 degrees, all right angles have this property; Hodge wants to insist, /he is working on a normal plane/ and does not want the angular to be distorted by any turning away or to the viewer.] "5. And that if a straight-line falling across two (other) straight-lines [he uses 'falling' as 'passing through' or 'passing over'] makes internal angles on the same side (of itself whose sum is) less than two right angles, then the two (other) straight-lines, being produced to infinity, meet on that side (of the original straight-line) that [It is more proper to say 'meet on the side that,' as opposed to repeating the word 'that,' which can be confusing. But, to use 'that' twice in short turn while improper, indicates to the listener that you are sure they understand to what is being referred.] the (sum of the internal angles) [This is actually a parenthetical error; 'sum' should be outside.] is less than two right angles (and [Here Hodge should clarify, 'that these lines,' so it doesn't read as though he's referring to the right angles—angles in this context are corners; corners do not 'meet,' they are the meeting points of lines—] do not meet on the other side)."

This final postulate reads so badly without its parentheses: "And that if a straight-line falling across two straight-lines makes internal angles on the same side less than two right angles, then the two straight-lines, being produced to infinity, meet on that side that the is less than two right angles."

This is an A, if you aren't lost. It is unfortunately necessary to explain puns like this, because the majority of math enthusiasts do not even know the problem was written as a Humanity exercise. Correcting it was impossible while Hodge was alive, as he would likely have corrected you himself. No one in his class considered it a hard problem, nor one of "pure mathematics," which was originally a sarcastic phrase and not a branch of monkeyish study.

Yang-Mills

Now, I wasn't born yesterday, and can leave worry over the sun's existence as an exercise to the Alaskan reader. ("To mill" means to vex, to stew, to puzzle, or "with concern" tan is an abbreviation for tangent, but also a Romanization of Traditional Mandarin meaning "great" tan-yang is an old Chinese word for sun (pronounced "young?" as though asking a question, with two own); this puzzle is called the Yang-Mills Existence Gap.) It would be more grammatically correct to call it the Yang-Mills Gap Existence, but the former name was chosen for punny reasons: taking the S and the next two letters spells SEX, and if 3 letters are added to the front, it becomes ILLSEX, while doing the same thing the other way spells SEXIST. Personally I like the word we get from putting GAP before the E word, and one excapes any nasty consequence from a left duplication. The Yang-Mills theories are gauge theory based on a special unitary group punningly called SU(N), or more generally any compact, reductive Lie algebra. (Lie here, is pronounced "lee," after the Norge mathematician Marius Sophus Lie, who lived 99842 to 99899 ADA. In truth, his name may have something to do with why his generalizations are so loved by those in-the-know.) A picture was taken by Dyson et a., of the curvature of light thru space, and this curvature of a more subtle nature around a black hole without Katie Bouman, who developed a crucial algorithm for the imaging methods while she was a graduate student in computer science and artificial intelligence at the Massachusetts Institute of Technology. If any of these descriptions wins a prize I think she should 1 get.

The gap challenge is this: "Prove that for any compact simple gauge group G, a non-trivial quantum Yang-Mills theory exists on the first tesselation of the Goth calligraphic capital R, and has a mass gap change greater than zero. The challenge then lists some scientists from the 60s and 70s, and says we should establish axiomatic properties as well as theirs. Well, they were part of the challenge weren't they? Weren't they? They knew it was a pun, and it's only a hard puzzle if we don't call them out on it! As a matter of fact, the gap here is equivalent to one touched upon already, and discussed in detail below, regarding an elliptical orbit over a space with subtle curvature.

Curves can be approximated piecewise with polynomials, or piecewise made into different shapes; called spline interpolation, it gives phenomena like Runge's and Gibbs.

Superellipses are also called Lamé curves; satisfying the Superellipse Equation (SE): |x/a|^n+|y/b|^n = 1. "x over a, AV, to the n, plus y over b, AV, also to the n, equals 1."

For n = 2, it is a circle (which is a true ellipse special case having both node points in the same location); the special case in which n = 4 while a and b are both 1 is a squircle; and the special case where a = b and n = 2/3 is called an astroid.

Superellipses are different from true ellipses, which have the Ellipse Equation (EE): (x/a)^2 + (y/b)^2 = 1 Same thing except n is 2 and instead of taking the AVs of fractions x over a and y over b, we just put them in parentheses. This can also be said, "x squared over a squared, plus y squared over b squared is one."

They have a different overall shape but share some features: each has a semi-major axis and semi-minor axis, and symmetry. When a = b = 1 and n is an even integer, then it is a de Fermat curve of degree n. Ellipses, in contrast, have a standard definition that is more constructive: a round shape on a flat plane, having 2 focal points, each the same distance from any point on the circumference. (These points can technically be in the same spot, as mentioned above.) An elliptical orbit, of course, due to spacial curvature does not quite fit this perfect definition, though the deviation is relatively slight—orbits are necessarily 3-dimensional, or "hidden forces" become necessary inclusions when working out their aspects. This is equivalent to the Yang-Mills Gap Existence problem: since the EE presumes a nonexistent flat plane, and in actuality spacial curvature has been observed and photographed.

Wiles', BS, P OR NP

The elliptic curve y^2 + xy = x^3 + 1 "Y squared plus x y is x cubed plus 1"

and the elliptic curve y^2 = x^3 + bx + c "Y squared equals x cubed plus b x plus c"

are equivalent; b = -y, c = 1 "Where b is negative y, and c is 1" and the second elliptic equation here, by Andrew Wiles, though hailed in the 90s as a solution to the FLT problem discussed earlier, was really a computer proof whose supporting points certainly did not fit in a margin; I reference it with regard to one of the first computer-based puzzles like this, the Birch and Swinnerton-Dyer Conjecture, abbreviated as BSDC, or BSC, or BSD, or simply BS. We should like to use the shortest abbreviation when we can.

Elliptic curves can be defined as "projective, nonsingular curves" by the general Weierstrass equation E : y^2 + (a_1)xy + (a_3)y = x^3 + (a_2)x^2 + (a_4)x + (a_6) "Elliptic on y squared plus a one x y plus a three y equals x cubed plus a two x squared plus a four x plus a six," where in the text, a "carat" denotes an exponent and an underscore denotes a subscript. Let's take out more by reducing the equation further: y^2 = x^3 + Ax + B "Y squared is x cubed plus a x plus b," Now you can really tell something is missing. If values are chosen for our letters that allow certain of our terms to have the same values, then even if we work them all out, we may not necessarily be able to tell from given terms where each A is, since the shape is symmetrical.

Because we can not always be assured where A1, A2, A3, A4, A5, and A6— better denoted with minuscules and subscripts—are. (The standard rule, though it is not generally followed, is to use *MAJUSCULES* for lines, and *minuscules* for points.)

For instance let's set a to 1, and x equal to y. Now, terms 1, 2 and 5 are the same, and 3 and 6 are the same. The 7th has value 1, but that doesn't tell us anything unless we know where it is. If x or y is 1 (or square root 1) then we know absolutely nothing, we just have 7 of them.

We're left with a highly simplified equation that doesn't properly graph what we're trying to describe.

Because this problem has a solution, but we know there are cases in which it cannot be worked out, it (like an incomplete Sudoku problem with multiple solutions—rare but I've encountered these before) is given class: P-problem.

The Poincaré Conjecture

This states that the sphere is the only 3D object that can be shrunk to a single point, given certain conditions. As originally conceived, it is a conjecture about this characterization of the 3-sphere. As proven, it is a theorem about only a particular 4-dimensional characterization of the 3-sphere, the hypersphere that bounds the unit ball in 4D space. The Poincaré Conjecture does not have the necessary mathematical structure for this characterization to constitute an irreversible or one-way process. Being that as it is, one could reverse these terms to say, Poincaré implies that the expanding universe must be spherical since it is expanding. This is clearly false. It could be the shape of a man, or an ant.

Ænglish verses English

Not to be confused with Old English, or Ænglisc [1]], Ænglish is pronounced as "English" and is the same language; the historical spelling used to preserve its first place alphabetically--before A. Ænglish is American English proper, and as such has hierarchical rules for big letters that distinguish it from British English, B. English.

Tones

Ænglish does have tonals, but except in obvious sarcasm the phonemes always override them. As in any language, any syllable can mean a number of things, but it is always context-dependent, and rules cannot be changed or reversed so easily. A rule change requires one to act gamingly; it cannot be done seriously. Every language has Glamour. Ænglish has Glamor. Contradictions do not exist in glamour—the Ænglish lowercase term for our own language's grammar*. Any perceived discrepancy is a mistake of the individual(s), and not the language. What is no "intricacy," is "bother," which means the same as "mind," as in terms of a request. Many people act leadheaded, and while this hides their intentions in no way whatsoever, it begs from me instructions in propriety. If I ask if you mind or bother, I'm directly asking, "Do you mind?" or "Does this bother?" It can hardly be clearer. If a person is offended when a request is made, they still have to respond correctly if they want to respond in the same language, as to respond "No," no matter the tone, means "No, I wouldn't be bothered to," or "No, I don't mind." Nor, if they wish to be a donkey, can they say "know," because Ænglish does not allow silent letters to reverse the meaning here, unless they precede that with "You," or follow it with "I would," "I do." If they follow with "I should," it's presumed to be followed by the asking verb, and a repetition of address ("you know") and the understood conjunction "but" or "yet": "You know, I should mind, you know, (yet I don't)", or—one cannot be snide and be correct in saying "You know, I should, you know, but..." and refuse, as this implies the former; not inanywise "I should but I won't"—or, "Well, know it should (bother me), you know, (but it doesn't)"/"Well, no." In Ænglish, this implies graciousness: that you will fulfill the request; and someone who cares to be correct or polite will not refuse a simple request in the first place.

• In Proper American spelling, words which formerly used an ou spelling, where they has been dropped, are correctly used to refer to the older meaning, which is generally more encompassing of its High qualities—or "Qualia." At the beginning of a word, sometimes these words can be found subtly hidden; but they can never be used dishonestly. These are often words with cognates; such as braid and plait: in this case, a "braid" is a casual hairstyle; to call it a "plait" is to make it regalia. In many places, what is called "Queen's speech" is the norm, and of course there are regional variations that internally are considered more or less "refined"; there, capital letters are typically required, if one wishes to make clear that they are speaking High (capitalized to distinguish from the "high" referring to direction or elevation—Direction, with a capital, refers to personal compass). When the American spelling is preferable, but as in Goth literature, capital letters are wished for Demeanor (as demeanour), this is Princess' speech, but rarely called so. One avoids using that title. More generally, it's termed Royal Tongue, or Royale.

Older archival

Reader please note that adult topics are contained.

This is my user page. I'll explain who and what I believe the free encyclopedia is for.

THIS PAGE IS PRIMARY ABOUT APPLIED MATH. I AM EXPLAINING SEVERAL WELL-KNOWN PROBLEMS FROM A PERSONAL NARRATIVE.

For everyone struggling to get their thoughts into writing.

For the people suffering from starvation, genocide, persecution, and who have suffered physical trauma including forced surgery and psychological abuse.

For Humanity. Our technology could eradicate world hunger in 1 day. On this planet, every 10 seconds a person is killed—murdered by a government. These figures do not factor in war. It is genocide.

The year is 10022 ADA. ("Myriad two, year twenty-one ADA") (The After-Development-of-Agriculture calendar dates history back to the domestication of the potato, in Peru.

With that said, Hi.

I'm L. I'm an anthro-archaeologist who'll teach you calc in under 20 seconds: Quad means 4. Like quartet. A quadratic equation's 4-termed. (1 + 1)'s (2 + 0) in "pure math", but that's -0% in applied math like battery fill. When terms with exponents multiply, add those. Don't forget 0 or queue. Always assume the unknown's a sum. Don't fall for a Lie pun.

This is not a blog, but you should be curious as to whether I have any credentials. Review the Wiki policy if you have any questions about the seriousness of false credentials.

THIS PAGE IS A SOLO WORK-IN-PROGRESS, AND CERTAIN SECTIONS ARE DUE FOR DELETION OR FIXING.

Here's my CV: I attended The University of Hawaii Mānoa campus from 10013 to 10017 ADA, and graduated with more academic achievements than anyone else in my graduating class. I studied Journalism for 2 years, but ultimately got a Bachelors of Business Administration in Finance, minors in Economics and American Studies, certificates in Data Anal and Business Leadership, a graduating semester GPA of 4.0.

As an amateur mathematician, I have thoughts on the M puzzles and a few others that I will share immediately, all in a single paragraph, after this sentence, as soon as I figure out how to insert the correct template.

On Wikipedia and the Law

Litigation is a long and taxing process. If you choose to show face in court, and the penalty you are facing contends with the Statute of Limitations, and you are aware of this, then that alone is a strong case for your innocence. After all, you could just go into hiding. It's not hard. In any case, being interrogated for something that has hurt you takes a toll. Being forced to explain something to someone being deliberately stubborn in greater depth hurts.

Mob rule is not what Wikipedia is about.

I will be posting Wikipedia rules throughout this page, which is a work in progress.

Here are some facts about the country in which I live:

• Concentration camps exist.
• You may be illegally arrested, tortured, and threatened with worse.
• Anyone you know can have you put away in a room made intentionally filthy with poop.
• To be arrested requires only a phone-call. You could be doing absolutely nothing, but if you run you can be arrested for running... If you are released having not been found guilty, you may be out on probation whereby getting arrested becomes a "violation."

If you don't like this factual content, well I warned you. These are serious topics.

Wikipedia is about the freedom of information, and its greater accessibility for the benefit of mankind.

FLT part 1

The first time he wrote it was indeed lost, but surely the final conjecture of de Fermat was not "scrawled in the margin of his notes" and found casually amongst a dead man's things. Rather, we can be quite sure it was written in his practiced cursive, and prepared at least 5 (more likely 25 years) before his death. A posthumous challenge to the world? The secret to the rich Frenchman's financial methods? Or perhaps just a cute trick for the son for whom he left the book:

Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos & generaliter nullam in infinitum ultra quadratum potestatem in duos eiusdem nominis fas est dividere cuius rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caperet.

As a math problem, this conjecture is called FLT.

~ All peoples are to be treated with respect on Wikipedia. Language is a sensitive topic, but be prepared to encounter mature topics. I myself am a new user, and will continue to improve. New users are welcome to message me personally on topics of my expertise, and if you're interested in discussing any academic subjects with me, just send them my way. Getting mad and rage-quitting is something videogames do; not encyclopedists. Understand that people on wikis like to use pennames, and don't be rude and ask for personal information... if a person shares a story, great, but don't ask for names just to satisfy your curiosity. I have a personal email, but please don't look for it. a51@archaeologist.com, like my username, is the best way to reach me Suggestions for edits are always welcome. Talk pages exist for this purpose: If you aren't sure if an edit is right, put it in the talk page. Community guidelines are how this ship stays afloat. Please let me know if you think my page has violated any, and be specific with your criticism. Understand that everyone feels strongly about a particular issue, and approach topics with care. Zealously editing a topic might cause people to raise eyebrows. Zen mentality: if your information is factual, and you are going about safely, have faith that your own demeanor will prevail over keyboard warriors who think of a successful edit as a "win." Lose the gamer mentality. Even correct edits can take a long time to be accepted by the community as a whole. Democratic freedoms, or rather what we've been taught to call democracy (historical buffs often take issue with this term) are what the free encyclopedia is meant for. Even though you may think you know something, avoid posting original research unless you have physical evidence or something of such weight. A page like this may digress around several topics, being a user's personal page, but in general, a page should always focus on a single topic. Factual information is the cornerstone of this website. Fictional material must be marked so, as not to lead readers astray. Again, anyone is welcome to join this community. Each wiki edit you make is saved, so please keep this in mind when editing. Disability is not a joke, and Wikipedia policy takes this very seriously.

We also want to acknowledge that some disabilities may be unseen or outside the modern understanding of psycho-physiology (the mind and the body). Aural dilation (of the inner ear) is a largely unstudied phenomenon, thought to be in some way connected with sinuses and breathing; but like all phenomena related to the audiovisual cap (incorrectly called the auditory cap by Freud), it is not deeply understood. ~

This personal page has a brief dedication to U+1F62C. A friend who was murdered.

Overture

A train conductor's job is safety. He or she is expected to be able to stop the train immediately, at any time. There were supposed to be two of them. If they could not see the woman lying on the railroad tracks, they should never have been doing such a job. It is the primary job of a government to keep records, before anything else. If a train is ever late, for any reason at all, this is public information, and must be readily available without any delay—at any hour—without a phone call. A conductor, if having been delayed for any reason, is never permitted to "make up time." He must take his loss in stride, and apologize to those inconvenienced. To do anything else is to put people's lives in jeopardy. If a train is equipped with a GPS system, they must be required to publish the most accurate records possible, of the location of the train, and store these for over a century— it should be at least longer than any person is on record having lived.

Only if a train conductor tried to stop a train and could not, due to mechanical error, is anyone guilty of manslaughter. In which case, it is the engineer; unless he has been found shirting a task: then, it is murder. For no reason is a conductor ever permitted to leave his chair during locomotion. A conductor is not allowed any excuse for accidents of negligence. Nor is an engineer allowed to misestimate; he must always allot more time for a task than he thinks it will take. In any case, when someone has died on railroad tracks, and the full records are not publicly available, it means there is a criminal conspiracy.

Death by train is murder.

Wikipedia will present you with uncomfortable issues. Here is one, presented in a clinical setting.

A cold surgical room.

You are naked, not for any decision you've made.

Your arms and legs are strapped to a table.

You have no idea when it is.

You miss your mother.

You have no idea where your mother is.

You have been drugged and cannot cry.

This—you discover much later—was your father's decision.

Your vision is blurry.

Man or woman—you can't tell—someone dressed in white.

He has a scalpel, and now briskly proceeds to slice your genitals—

Yes, there is blood—

Being careful not to castrate you, as such accidents are relatively common, the stranger cuts off the greater majority—at least 70% you later estimate—of your sensitivity.

He thinks he knows precisely what he is doing.

You do not.

This is a procedure forced upon >80% of the local population.

As a matter of historical fact, what is now called a full circumcision was once called a botched procedure; Jewish religious reforms during the Middle Ages outlawed the "full cut," as during this period—wherein the first skyscrapers were built—genital cutting was viewed as a desecration of God's creation, and a heinous sin. Jews who persisted in a tradition originating in the Stone Age were viewed as barbaric, stigmatized, and shunned from many towns for reasons of what was termed "Modern civility." By the time of the Renaissance, circumcision had been mostly eradicated, and even Michelangelo's statue of the Hebrew king David clearly has a foreskin.

Medieval Bologna had 100 skyscrapers

In 20th Century Gothic literature, which seeks to cast out social evil by Romanticizing it (in order to show that no matter how attractive, sadism and such ills are always bad), the revival of child mutilation, an ancient cultural rite, as a "tradition," and the passing over/playing down of once-shunned superstitions as "heritage," is referred to as the rising of the New Tzimisce, also called the "cutters," or "flesh crafters," by the apparent diablerie of (a term originally meaning evil deeds, but in a vampiric context, meaning a supernatural creature who is killed and has his powers absorbed) Tzimisce. (See the Chronicles of the God Machine, usually called the World of Darkness Expanded Universe, for fictional material in this genre.) I note this because this extreme shift in religious practice, though history, has no acceptable academic term to my knowledge, but it is well-defined by that single word in fiction, "Tzimisce." One wonders what modern fictions will stand the test of time; perhaps those whose view of time is not merely longer, but historical in nature.

Below is a dialogue on another greatly important subject within the topic of mental health. This being a personal user page, and given the deeply personal nature of mental health issues, I think it best to tell my own personal narrative.

I gathered physical evidence. This is not Internet research. Nor have I required the web for any of my math solutions; only to find the questions themselves.

"Sympathy is a worthless emotion," I am saying to my brother-in-law. He has several regrettable tattoos, including one on his chest that says in capital letters, "COGNITIVE DISSONANCE." "A reminder," he tells me, that sometimes what you think you want isn't what you'll always want, but you wanted it at that time." He is otherwise a fairly attractive man a year older than me, a deal shorter, with a mustache. "I think people need more of it," he says. "No. People need more empathy. Sympathy means same. I mean, "pathy" means to feel. Sympathy is literally "same-pathy," to literally feel the pain of another person you'd have to literally feel it. That's worthless. Empathy means you empathize— it's the intellectual understanding of a person's feelings. Sympathy's pointless." "I mean, people need to understand each other's feelings." He's exactly right, my brother, he just has switched the definitions of some important words. I'm a bit annoyed to repeat myself: "Empathy is what that is. Understanding. Sympathy means "same feeling." It's a horrible thing. We should not have to be sympathetic. We should be more empathetic. Empathy—" "I get it." "—is the intellectual understanding of a person's feelings. It's not necessary to share pain." "I hear you." "Pain is pain."

He went to the bathroom again. My brother broke frequently that day; any continuity adjustments I make are solely for clarity. "I was recently locked up, as you know" I said to him when he returns. "I want to talk about it." It was my mother who had made the call to the police and lied about my mental state. This happened during a time when a State of Emergency had been declared for the entire planet. Every person, save those given a special exemption, was ordered in a public broadcast of their own language to don masks before stepping outside. Many wrap their entire faces in scarves, even when visiting next-door neighbors. "OK," said my brother. I began: "It was a room filled with shit. Literal shit. It smelled like shit. There was actual, shit everywhere." Queen's Hospital. "You've said." "OK? It hadn't been cleaned in months. They have six cells, labeled P1 thru P6. I was in 6. It had 6 sides. I went into a few other prisoners' rooms to check they were not all honeycomb like that. "They had no chance to lock the door; I made it very clear I would not allow it. I said: 'I will wait here. You will not close this door.' "The guard dressed like a nurse was literally shaking. Another one had to open the door for him, he literally was so afraid of me that I had him locked in the gallery. "The 'doctor' was not on time, and I suspect he had some kind of midbrain trauma from breathing in all that shit. I made him go into the cell first—I said, 'After you, Doctor'—so, if I had to, I could lock him in... Or kill him, or use him as a hostage." My brother made a face. "I had to make him do this several times, the whole thing's a fucking torture of patience. They don't 'allow' pens or pencils but the dumbfuck had several sticking out of his lab coat—at any point I could have just grabbed one and stabbed him in the fucking eye or neck. The whole time I wanted to. "When he first came in, I made him read something that was written on the side of the door— I was able to take this." I showed my brother an impression I had done in blue crayon. One of the last prisoners—not "patients"—had written in fingernail.

impression made with crayon on paper

Here, in all capitals, written vertically, we have the word spelled C-O-G-N-I-T-I-V-E. It is especially interesting that the G is backwards, and has two eye-dots, and that the V is drawn with an additional line making it a downwards-pointing arrow. While existing diacritics and translation support should allow this to be typed, these are the first to note of many gaps in the UC database.

My brother nodded, as though to say "It's a familiar word to me." "The 'doctor' was able to read this just fine, too. The backwards G, you note, it's idiosyncratic. Looks like a smiley face. This person was clearly of a sound mind— his own mind. Managed to make something ironically cheerful, but who knows how long he was in there. I would rehash the details of this night several times with my brother. "There was a fingerprint on the wall, I noted first. "The idiot acted fucking starstruck! 'Are you a detective or something?' "'I'm an anthropologist, actually.' "There was a tile intentionally mislaid on the wall." I do believe he wanted me to respond with something pithy, like, "Am I supposed to comment on the tile (title)?" "I counted the scratches on the inside of the door for him instead. "'Can you smell that?' He nodded like a hostage. 'It's shit,' I told him. "'Yeah, we try to get it cleaned after each patient—' "'That's bullshit. This place hasn't been cleaned in months.' I pointed at a brown stain on the ceiling. 'That's shit. I mean, test it for whatever else the fuck you think it might be, but I, I wouldn't put my nose up to it if I were you.' "The idiot looked down at his chart, and for a second it seemed he'd forgotten how to read. "He made me wait all night to be 'cleared.' Asked a bunch of stupid colloquial phrases—'Have you heard the phrase "a rolling stone gathers no moss?" What does it mean to you?' Literally a Psych 101 question I read in a textbook. "The pointless counting-backwards-by-7s test. I made sure to get the last couple wrong. I had another problem in my head at the time—funny thing is, he obviously didn't know them very well himself; he had to look down at his paper the whole time." I took a breath. "Fuck! I wanted to stab 'im in his mother fuckin' eye!" I continued: "The walls in there are thick, concrete, but I could hear everything they said anyway. Everything echoes (in a place like that)." Windowless. "While I was in there, I made two shivs. Nothing to it. I had them in my pocket while I was talking to the so-called 'doctor.'" My brother had to go to the bathroom again.

"I challenge you." My brother said this when he returned. He had said this to me already with his eyes. He knew I have a lot topics to get off my chest. We are sitting on a balcony—my parents' lanai ("la-NYE"). In the park earlier, I had told him I experience phantom sensations—pains.

"Tell me your plan," he says. "What do want to do?" He's trying to convince me to leave the country. "I want to help the world," I said. "There's some amazing things I really want to study, especially language." "But what will you do with it?" he pressed. "It has so much to offer, I don't think I need to do anything with it, it..." I looked outside. It is a partly-overcast day. A thought of what the building across looked like before its most recent painting. A slightly more gentle blue that had faded in the sun. It's unlikely, I thought, that anyone could ever pick out just the right shade. This newer job is more vibrant, but there is no imitation for the sun's taking its time for just the right color. On the balcony we are surrounded by plants. Beautiful green. Tee. Life. "I need you to finish your sentence, brother." "T'something that..." There's an orchid over his shoulder. "I think's so fascinating it's its own reward." "How so?" "I'll be able to talk to anyone." He smiles at me. "How 'bout you, you making these plans with—" It takes me an extra second to say my sister's new name—"Margaux." "We're really excited for it." We're. Interesting word; I played with the vowel a little in my head, while I looked at my brother. Such a thing, suddenly having someone to call "brother." "You look good wearing a wedding ring. I like the color of that metal. Steel." "Yeah, we decided to keep things simple." Of course, I knew he couldn't afford an expensive one. He is a starving artist; and starving himself. My sister had convinced him to become vegan. I telegraphed the second sentence before speaking my first. He'd hand it to me before I finished my line: "Can I see it? I've spent a lot of time looking at—" The steel ring was a very modest piece, but what I said was entirely genuine: "I really like it." It had features that in centuries of old would have made it an incredibly rare piece. Good as gold, almost. "Here." I let him put it back on, and admittedly felt slightly embarrassed for his letting me take it so easily. "I've seen the one you got for K—" I botched my own sister's name. "Margaux." He corrected me and smiled. Then I pulled out a ring I kept in my pocket. "$20,000 I had to waste on this." A round diamond, 2.21 carats. A bit more than a third of an inch in diameter. Set in 18-karat four-pronged yellow gold. "I spent weeks looking at every diamond I could. I looked at millions of dollars worth of diamonds. I looked at them under the expensive magnifiers. This one is cut flawless." And it was. Absolutely flawless. "It's really something," he said. "It's yours if you want it, to give to my sister."

A few months later, having moved islands, I became overwhelmed with heartbreak. I still had the ring. No one to give it to.

I hadn't always believed in love at first sight, but I had just had the opportunity to give it to another; a beautiful girl I met at an airport, who resonated with me in a special energy. She became my girlfriend that day, and later bailed me out of jail—a different fabricated crime than the one you will be told in the first chapter.

Unfortunately, I had to stop talking to her. I just found it too hard to open up again emotionally, after a breakup that felt too recent for me. But I'd still want to. If I still had that ring, and if we were seeing each other, I might think about getting married. It's hard because I don't know. I might be telling you a completely different story.

The important thing is: there are different ways of being in love—and there is such a thing as love at first sight.

I ended up walking to the nearest volcano shortly afterwards. It was a 30-mile hike.

I threw it in, in its rectangular box.

FLT continued, part 2 of 3

IF YOU'VE MADE IT THIS FAR DOWN INTO A PERSONAL PAGE THAT IS STILL BEING EDITED, YOU JUST HAVE TO EXCUSE THE WINDING NARRATIVE FORM.

In plain English, prove in the space of a margin that there are no two cubes that when added, equal a third cube. Furthermore, show it is impossible with anything higher than squares. de Fermat ends with a statement that he finds this conjecture impossible to prove within a margin of the book he was writing in, namely Arithmetica by Diophantus; a Greek text written in the 3rd Century AD, or some time around 8250 ADA. FLT was a problem not solved for almost 400 years.

Before we go deeper into this puzzle, and I give you the simple key, hold this in your mind while I tell you my thoughts of the place I was living at the time. I'll tell you exactly what was going on in my life at the time.

Once again, what we're going to prove, in the space of a margin mind you, is first, that there are no two cubes that when added, can ever equal a third cube (in integers). And secondly, I'll show you it is impossible with anything higher than squares.

Hilo, Hawaii, is a slum. Besides a nice tobacco shop and a fantastic Cantonese restaurant, there is really no reason to go there unless you are looking for drugs (probably 19 in 20 people), or... being legally tried, for fabricated reasons. I experienced a lot of apparent racism there. I say apparent racism, because it was as though people were pretending to be from an entirely different planet or something. Or pretending I was... I don't recognize any fucking game when there's actual, literal violence. I had to move cities. For no reason apparent I was physically attacked by people in public on some dozen occasions. For the record, a white Hawaiian is not a "haole," or a "howley." The Hawaiian term is keo, "white," or keo-keo, "very white." Haole is a term for mainlanders or foreigners, but never a correct term for one born of the land. Last year, I was injailed without a trial for an offense which never occurred, and would have been captured on camera, had it. Petty theft at a local convenience store called Long's, for which I was cleared. Despite the overwhelming evidence of conspiracy, the process took some 5 months, and I was not offered a countersuit. Hell, not to sound like the 60s Batman but, could de Fermat's mother's maiden name have something to do with why a radically income-disparate town suddenly turned into a fucking Gotham? I'm getting ahead of myself, but well, not really. I think you know what's coming. Get a fucking life. If you think violence is acceptable, go beat yourself in a bathroom.

Now, where was I?

September. Shortly after my initial stunt in jail, I went to Nevada. I left Hawaii with a grand and arrived entirely broke, as somewhere along the way I'd had my wallet stolen. Despite knowing the floors of several major casinos pretty well, there is little one can do, with no cash to play with. Well... There are a few little tricks I know. I'll get to that. Before resorting to any of those, I made some honest friends. A few really cool people who were down to hang out and have fun driving the city. Weed is legal in Vegas. Me and a few other fellas jived. We smoked a couple blunts, listened to the radio, and just had pretty good vibes for a day. Eventually the time rolled around, and I found myself on my own. I'd meet other chill guys before my trip to Sin City was over.

(As an aside, the reader may find it interesting that the moon goddess of Akkadian [[cosmology] was called "Sheen," as in the phrase, the sheen of the moon. Most books spell it S-I-N, but there are a great deal of English words which are very significant to native speakers because they are used sparingly like garnish, and were, in fact, the same in this five-thousand-year-old tongue. I have encountered so many foreigners with interest in our language's intricacies, so I will explain this: Sunlight has its shine; moonlight, its sheen.) Etymological links to be added.

Anyway, I'd had money coming in from my LEGO job for a while, but it ran out in August, and here I was, the month after that, in Nevada and broke. So I had to ask my Arrested Development family for a few hundred bucks. I alternate between thinking they owe me and saying "screw it." They'd be rich if they'd taken advice I've a degree in, but I sort of think they like being the Arrested Development family.

I don't trust them. Trust can be earned, but a deep betrayal is something one does not forget.

I had a hotel room booked at the Rio, which should have entitled me to at least a weekend of comfort. Instead, I was told by the concierge that I could not go to my room without an $80 additional fee. Many hotels do a scam like this. They allow you to book a room online, from a site that advertises "NO RESORT FEE," and then just charge you anyway. Normally this is an considerable inconvenience, and doesn't end your vacation. But many guests are able to get these fees waived, and after all, I was a guest. With 7 years of work experience at that time, which included pizza restaurant management, and dealing with the especially difficult customers: children. I'm usually pretty good at talking to people, so I explained my situation. "Hi, I had my wallet stollen." I gave my last name. "I'm a guest here and (I gave my room details)." "I can't," the answer came. Very clearly I informed them of the hotel policy, which I had read. "You absolutely can--" I was interrupted. "No, I can't." I continued. "No, you can. You are the manager or aren't you? If you're a manager then you also know your policy is to treat guests. You absolutely can waive my resort fee." "I can't." "You can!" This exclamation surprised the so-called manager. "But, you won't," I concluded.

I then walked out onto the casino floor as a mariachi band played.

Time to have fun anyway. I convinced a few gamblers they shouldn't play. I pretended I had won, and did this act for a fun couple hours, routinely checking back at the front desk to see if my fee had been waived. No. You know the funny thing about feeling lucky? It's a fragile emotional state for most people. You watch them praying over money—rarely with spoken words—you see that emotion racked in their body. But when you don't have any money to lose, it is hardly a feeling you think could just jog off and find someone else. You own that motherfucker. So it was fun for a while. The band played on. Casino floors are beautiful. Deep purples and reds. Dark blues and burgundies. Lushness to the eyes. Loads of shiny gold reflecting your face. You feel a bit like a dragon—as though somehow all these dumb bitches were magically hypnotized into gathering all this intoxicating stuff for your passing pleasure. Just walking past the bar is nice. A rich dark green bottle caught the eye. A bunch of pricy brands I couldn't imagine spending cash on even if I'd had any. After a little while of this fauxness, I got bored of pretend victory. Good carpet, but I can't just take my shoes off. Oh, they have to be so gorgeous. These places, these air-conditioned oases in the middle of a desert. Because outside, it's 100 degrees. I'd begun to move a good amount of the floor atmosphere. Mood is like the tide. Of course you can lift everyone up when you're happy. But I wasn't exactly having a good time; I was frustrated, working up a sweat, and made no effort to hide that I didn't want to be there. I just didn't have anywhere else to be. Just by acting this way, I got a couple guys who saw me to leave. "Let's go." My presence had convinced them the better party was elsewhere. Bored. I stood and watched a wall of TVs for a minute or so. I'd probably have stood there for another hour if I could change the channels. But I was still bored. If I stood there too much longer, without having a bed to retire to, it'd drain my energy. Luck is about flow. Spontaneity! The kind of thing that requires subtle movement. I waited for one of the sports betting commentators to give that look that kind of says, "let's go," (as in, "go-do-your-thing-I-might-not-see-you-after-the-break-but-I-obviously-don't-want-you-to-get-tuned-out-and-leave-the-big-show," which generally indicates they're about to flash you with an RGB white screen), so I turned around the right way for the moment, which was the left, and went.

I walked back up to the concierge desk. Los hombres en la mariachi bandana sounded the tuba. ¡Oye! "Well?" I asked the concierge woman. She stared for just a moment. Then I got to hear in what sounded realistically like fear, "This is extortion." I laughed and left with probably the most genuine smile I have. "Extortion," she said.

"Hot as balls," I declared, stepping outside and greeted by a hot wave of air. Then I started walking. The Rio is a good dusty mile at least from the surrounding attractions. Of course they knew they could have let me stay in the rooms. Knowing I had no money, I guess they expected me to "hustle," but I'm an honest hustler which is why I'd fucked with them instead. I walked a couple miles, walked back. Getting a "feel" for the terrain, it made more sense to wait til dark given the temperature. Met some cool guys by the terminal. Hung out and smoked a bit. We thought we'd get a room but it was like Prisoner's Dilemma with four guys. For a little while we thought one of us must have a room! Nobody did, but we weren't homeless or crap-looking, just broke. I walked up and down the strip several times, and spent several days walking around the dusty city. The longer I walked, the dirtier my feet got, and I didn't have any cigarettes. In retrospect, that could have solved everything. At least would have helped. Having been faking luck, it didn't occur to me that those could break off a streak of genuine misfortune. Smoking gives a change of atmosphere—something that, for reasons difficult to explain, would have made those last few days easier. I walked a lot. It took a few days but I made it back to the islands.

I had made a promise to a girl (my ex-fiancée, as a matter of fact) that if I solved the FLT problem, I would return with a solution. More generally, I had also promised I would go to her if it ever felt like the whole world was "through a mirror."

Because I loved her—I went immediately to her house from the airport. I had already gone to jail before without a trial. The penalty for trespassing, I had been told afterwards in court papers: 30 days. I didn't know whether I was following a hunch or losing my mind with what transpired next, but (emphasis needed:) I BELIEVED HER TO BE ENGAGING IN ELABORATE ROLEPLAY.

So I figured, since there is clearly a conspiracy to have me locked up, at least if I'm wrong they'll have a reason. What's 30 days?

I found out later there's different penalties for trespassing that would seem to vary for arbitrary reasons. This one potentially faces 5 years; ironically, almost the same as the statute of limitations. At no point in nearly 6 months have I had the opportunity to sit down with a lawyer and discuss the circumstances, which I will outline below.

In short, I was injailed again for visiting her. (If I said I was "jailed," that would imply due process. I was not jailed, I was injailed; meaning I was detained unlawfully.)

A number of serious circumstances regarding this incident need listing:

1.1, I was tricked into thinking that she wanted me to wear a Ghost Face costume, for the last time I'd spoken with her she asked me whether I still enjoyed role-play; (I will not name her in this book, nor give further personal details of a former relationship) 1.2, I took it as a sign when as I had suspected, all the doors were unlocked, like in the movie Scream (1995 film) Scream. 1.3, Thinking she'd be awake, I'd made an effort to be obvious, silly-walking over the lawn, but if she did know what was happening, she sure pretended well not to. 1.4, As soon as I decided this was not the game, I tried to leave—I was stopped first by a large owvcharka (the Caucasian Mountain Dog breed; nicknamed bear-killers), then by my ex. The second of those scares me much more. 1.5, I told her I had come, quote "to repent." 1.6, When she repeatedly asked me, "What are you doing here what are you doing here what are you doing here…" Not asking per se, but saying that phrase as a statement, over and over, I responded with a line from the film she would recognize, game or not, which should have indicated clearly how I had been deluded: "What's your favorite scary movie?" 1.7, I heard clearly—she said, and I quote, "Wait."

At this stage, regardless of whether I was misguided in my being there, or not, I was not trespassing. I had been told "wait," which means "stay."

2.1, When my ex-fiancée returned, she peppersprayed me. She was clearly NOT acting in self-defense. That being the case, this was assault with a chemical weapon. 2.2, She either was intending to cause me a permanent damage (which her statements indicated, and which I now have), or has absolutely zero valid intelligence regarding the chemical Oleoresin capsicum. Its instructions say to spray from 5 feet away, in 1 second spurts. She sprayed an uninterrupted stream of it at a distance of a few inches until she'd used maybe half the bottle. 2.3, While doing this, this woman had encircled me and was blocking the exit. So not only could I not leave, but I was also essentially blinded.

Perhaps I made a mistake of opening my eyes, but I would not trust this woman to restrain herself. If I had kept them closed, or kneeled in my pain, she surely would have continued her assault—she would have begun kicking me. It is not possible for me to defend myself against someone so devoid of sense—I'd've just had to knock her out. Trying to restrain her would risk permanent damage. And then I'd be facing worse charges.

But I eventually managed to get away. She opened the gate-door for me, and screamed several malevolent things, which included: "I HOPE THEY RAPE YOU" "I HOPE THE COPS BEAT THE SHIT OUT OF YOU" And the classic opera line, "I NEVER LOVED YOU—IT WAS A LIE!"

3.1, When the police came, they acted like frat boys. No professionalism. They knew my eyes were damaged and shone lights at me unnecessarily, knowing that this caused me physical trauma. 3.2.1, I asked for a medic immediately. In response, I was either told "a medic is on the way" or "uhm-my dick is on the way." 3.2.2, No medical attention was given whatsoever. 3.2.3, This dialogue was recorded on multiple bodycams, and if it cannot be found, footage has been tampered with. 3.3, This happened again at the police station/detention center: I cried for medical help, and was not refused openly, which would be a crime, but lied to, which is a worse crime. 3.4, I had my clothes stolen from me. The police will take your clothes if they like them enough, or if they want to exert power. They were not following procedure; it is arbitrary. 3.5, I was forced into a BOILING shower. (I was not allowed soap; see 3.6.) 3.6, Long-hydrocarbon ends of capsaicinoids do not dissolve in water. This was known to my assaulters. The pepper spray was spread over my body, including my genitals; it was not at all washed off. 3.7, I was forced into a chilled room immediately after; I am certain this was done to forcibly open and close my pores. 3.8, I was forced to stay in a room with bright fluorescent lights—they would not give me the option to turn them off—knowing that my eyes were in serious pain, they did this to cause pain.

The above is torture by any logic.

4, My entire mistreatment was recorded, and there is overlapping footage.

Final points need not be enumerated: had I wanted a meal, they'd only give salty soup; I've been detained in that basement facility multiple other occasions.

Concentration camps still exist.

I never committed a crime.

As a result of these attacks, I am lacking a layer of my ocular coronae. This has an effect on the "locking" mechanisms of my focus. It is highly dependent on the audiovisual cap, which is to say, varies upon other people (just as sympathetic sneezing and yawning are semi-involuntary behaviors; not conscious communication per se—certainly not what people generally mean when they say "psychic") My own intentions are more openly telegraphed. The lack of a normal filter is always a disability, regardless of whether it varies, and regardless of whether an individual is able to use it advantageously. I am unable to close my eyes normally, or blink casually. I can fake it, but this is what is called the "lucky cat's eye,"— shinikami.

FLT part 3

It was the day after this mistake, that I set to work on the FLT problem. Within an afternoon, I solved it. My original solution may still exist on a notecard somewhere in a boarded-up house I'm informed is scheduled for demolition at some unknown future date. (Legally, I should own this house, wretched as it is.)

This famous puzzle is written: xⁿ+yⁿ=zⁿ. I didn't have a working computer, when I set to this problem (it was the 260-somethingth day of the year; the exact date escapes my recollection), and I couldn't remember the equation at the time; instead I wrote an equivalent: a' + b' = c'; using ' to represent x. The unknown is always a sum; in this case an exponential sum. And it was then when I had an insight: It could never be less than the unit number, 1, and always had to be greater than 1. Given 2 components, it could only equal 2 at most, when those two are the same. I added a "+0" to this, like I suppose everyone does at first. I didn't defer disclosing my discovery to the internet; however the Wiki community was not ready for my discovery to be made public; after some intriguing discussions, the consensus was to change the notation on the Fermat's Last Theorem page from xyz to abc, in a soft move toward my notation, but to keep it officially "unsolved" for a while.

(By the way, de Fermat had his title "de" deferred upon him. He had to pay a sum for the seat of /counsillor/, which he held for life; his mother's name was changed from Long to de Fermat as part of this; I do not know the sum, but one imagines it was considerable. His surname was "de Fermat," and it is not improper to spell it "deFermat," to preempt a two part name like this's being separated on two lines—improper.)

Quite simply, an equation isn't quadratic unless it squares properly, meaning it must have four terms. This should be a refresher for you: One plus one is two plus zero in calculus. "2" is an incomplete answer.

(Furthermore, the number 4, as I double for simplicity's sake, if reached, for example, as the square of—we'll call it a—is different from a number reached as the square of b, when a and b are equal, but a represents a straight line and b represents an "L" or "Г" --"El or Ga" --corner distance. I will expand on this in the second chapter)

"Given rings," I wrote, "The larger is measured as 1. Now, you have 2 droplets," I continued. "One of milk; the other red. Envision a third that is pink like womb water, an imagined solution of the two, milk and red. Woe befalls if I neglect the zero." I wrote this in Akkadoo, more commonly known as Babylonian:

Ee-nah kah-ti say-rey-toom, rah-bee-ah-noo, shah loop-shoo eez-tayn. Bah-shoo see-nah shay-rey-too, ach-hoom ah-ha, on-noom sheez-boo, on-noo sah-moo. Eep-shoo nah-pphalloo ah-nah shay-rayt shah, moo mah may-shoo, lee-boom, ooh loo, wvay-doom ay-zay-boo mah-tee-mah ayl-lee-ah-too lah-shushoo, El.

As a scribal language, it is simultaneously very difficult to read, and a very simple language to write, when one knows what they want to say. Aided by "A Grammar of Akkadian" by John Huehnergard, I went on to describe the basics of algebra. But something wasn't right. A few days passed. I wrote on a notepad, in English, that "t" could represent "total." It later turned out that was unneeded for the solution. I made various other notes but most of my writings, most of my books, and several phones were stolen. Then a month or so passed before another insight came. I found myself stranded in that aforementioned slum town at night, some 70-something miles away from where I lived, some 12hrs before the next bus. It was cold, my phone battery was dropping, and in a few short hours there would be nowhere I could charge it. And then I realized that a battery's charge is always measured as (100% -x%). Of course! It was a lightbulb moment, quite literally. A nearby firealarm light on the outside of a Starbucks winked brightly at the same time I was able to articulate the meaning to myself. At last I had unraveled the mystery! I realized shortly afterwards that the Latin "nominus" was a pun for "no, minus" (cleverly followed by "fas est," which surely had led countless mathematicians down this false trail, likely thinking "+" to be the missing clue from "fastest" or "test" for "+0": a very common way of correcting a non-quadratic equation lacking its 4th element.) I spent a little while shortening my notation...

FLT-0%..%L1nS

Here using S to represent summation where in pure mathematics uses the capital Greek letter sigma.

"FLT minus zero percent, dot dot percent, L one, n summation." Which sounds a lot like that I won, and that I'm also amazing. Haha.

This neatly contains Beal's generalization conjecture aˣ+bʸ=cᶻ, since once made equivalent to something that exists, it is, after all, a generalization conjecture. Batteries are a physical construct; not theory as they once were. Batteries are always made of component cells, which in math's terms are a CF or common factor.

You know another funny thing? I still work at The LEGO Store. But of course, a Brick Specialist's job is hands-on. So I can't return during a WHO emergency.

Chapter 3

As previously mentioned, if a and b are both 2, the squares obtained from each are not necessarily the same geometrically speaking, though they may share the same AV: absolute value. The number represented as square root 4, called the second root of 4, or the square root of 4, is equal in some regards to 2, but only equivalent in others. As far as length, the distance traveled from one end to the other is the same, whether it is straight or corner-shaped. In terms of geometry, these are, of course, different shapes. If we write square root-square root 4, what this represents is now equal in length to the square root of 2, usually written square root 2; but we must remember, again, it is only equal in a particularly defined way. This is the distance of the longest side of a triangle (or "hypotenuse") whose other sides are both 1.

For recall, the Pythagorean theorem is c= the square root of the sum, a squared +b squared, where c is the hypotenuse.

Some children erroneously think that √2 has twice the value of √1, but this is false. The square root of 1 is obtained as the distance equivalent to 1, but obtained from only one side of a corner shape—either the vertical or the horizontal—that is NOT YET multiplied by its meet. If then, we multiply it by its partner, the square root of one-alpha, time's the square root of one-beta, is 1. All three lengths measure the same distance. They are equal in that regard, but each holding different geometrical facets.

I will note here that there is a typography mistake no matter how I type this. Using Greek subscripts... Use of Greek "alpha," α and "beta," β is due here to the difficulty in finding the symbol for a subscript lower-case b, and the use of the English a, which often has a tail to differentiate it, is thanks to the difficulty in finding a subscript alpha. (Unicode is riddled with errors, I suspect put there maliciously, and passed off as a "game" or "riddle." Many people—fools—do not think the world has enough real problems, or do not care and are too unoriginal to solve any, so they create more. Also missing from their database, which was created with the stated goal of making these things findable for the utility of the human world, are many foreign-languages' articles of the UDHR, the Universal Declaration of Human Rights. I spoke with some Pohnpeian friends and was able to get a suitable translation of Article 20.2; see section break after tidle.)

Greek, when used outside of the language, generally indicates a mistake made in the past, often too far back in the maze to fix without rewriting a thing in its entirety. (There are, as a matter of fact, at least 34 Greek letters; these I will also put at the end of this chapter.)

When it comes to square root 2, one can imagine an octagon—an 8- sided shape—with sides of 1. The straight-line distance in width from either the left or right side to the opposite, or the distance in height, is measured square root 2.

~ UDHR Pohnpeian, Iralaud 20.2:

Sohte aramas pahn idihng ehng uhk kehn ihdehng ehu peliehn lahmalahm.

In English, this basically says: "No one shall be forced to belong to any group they don't want to be part of." The official translation is: "No one may be compelled to belong to an association."

Now, why the Human Rights Bill has been turned into a scavenger hunt, you tell me.

~

Next up, here are The "standard" 24 Greek letters, with the later-developed lowercase: Α α, Β β, Γ γ, Δ δ, Ε ε, Ζ ζ, Η η, Θ θ, Ι ι, Κ κ, Λ λ, Μ µ, Ν ν, Ξ ξ, Ο ο, Π π, Ρ ρ, Ʃ σ/ς, Τ τ, Υ υ, Φ φ, Χ χ, Ψ ψ, and Ω ω.

"Alpha, beta, gamma, delta, epsilon, zeta, eta, theta, iota, kappa, lambda, mu, nu, xi, omicron, pi, rho, sigma, tau, upsilon, phi, chi, psi, and omega."

Do note, reader, that the order of these has changed over millennia (both Hebrew and Greek alphabets' lineage can be traced back to the Phoenician, which had 22 letters d was written in what we'd now call "all-caps.", see first footnote; and it is quite remarkable for being easily read to this day; it was written right-to-left, and looks quite like a mirrored version of the Roman alphabet. No ancient Greek city-state is known to have used all of these standard 24 letters. Some had others, as well as sounds in their language that are now missing from Modern Greek.

What looks like 3 horizontal strokes, a letter that looks like xi, is also called the "ks" and is lacking from many Greek alphabets, and comes from a Phoenician letter which had a fourth stroke: a vertical line through its center.

Every Greek letter has cursive variants; some like omega (which is considered a phonetic "break" with omicron toward an "open" vowel) have several (Knidos and several Aegean islands switched this innovation, and used the circle for the long "o" sound while a broken ring stood for the shorter vowel).

ϖ This one called "variant pi": what looks like a rounded w with a roof, or like a lower-case omega with an overbar is not omega; it is another way of writing pi, which is usually a center horizontal line with two legs, the right one curled to the right.

In the French tradition of /Ancien/ Greek typography, there are 3 betas: there is first the capital beta, used for proper nouns and at the beginning of sentences, second the standard lowercase beta, which is used word-initially, and a curled beta is used word-internally.

ϰ There is a variant of kappa, which looks like a horizontally mirrored capital n, but whose diagonal line, from lower left to upper right is straight, while its left vertical has a curl on the top left, and its right a curl on the bottom right. This is a cursive form of kappa the k, which is important to note lest it be confused with one of the archaic letters discussed below.

Originally, the Greek alphabet was written in a style called boustrophedon, meaning it started on one side of the page, typically the left, and reversed direction at the end of each line; so as to provide an unbroken path for a reader's eyes.

In addition to the archaic Greek letters I will list for you, there is a vast number of letter variants.

The city of Euboea is noted for having had a lambda that looked much like our English capital L, as well as a P shaped like an R.

Θ vs Φ It is important to note that the letter theta is written "properly" as a circle with a horizontal line through it, but has a variant used in math that has a vertical line instead, which I have heard called "theta" which is to say, theta is sometimes confused with phi, and strangely, students of engineering are not taught even the alphabet in one piece. Theta is derived from the Phoenician letter called "teth," "thet," or "tet," which is a circle with an X or + inscribed "over" or inside of it: ⊕

(Tet is the ancestor of many Semitic equivalents, notably the 16th letter (9th in the traditional abjad) of the Arabic called ṭāʾ or teh, not to be confused with their 3rd letter, ت which is often transliterated the same. In the middle of a word, ṭāʾ looks like a sloppy lowercase b; that is, one written without regard for stroke direction: correctly, b is written as a vertical line top to bottom, with a semicircle drawn from its base, counterclockwise, to its center or lower third.)

Additional Greek letters no longer in common usage:

F What looks like a capital F, called va, which was probably sometimes pronounced like wau or waw; is called digamma for its shape (Both "di-" and "bi-" mean two). Epsilon is descended from waw. The Hebrew aleph is very likely descended from a variant of the Phonecian waw, too, with its stem bent sideways. Va is thought to have been used as a "v" sound, and where it is found with the Pamphylian va (see below), it can be surmised that the Pamphylian entered use to preserve the older "w" sound, where a labiodental shift from w to v caused F to become the letter for the v. See second footnote.

M The letter which looks like a capital M, called san, is thought to have made a sound like "s" or sigma, which may have actually been the more acute "z." Some other candidates are "ch," "tz," and "st." In any case, san pervaded long after its phoneme did not, and was used as a city symbol on Sicyon coinage. The earliest-found Greco alphabet table has both san and sigma.

T or ϡ This letter, originally written as a T with a serif on each top corner, and later as an ovular crescent with two additional strokes, giving the appearance of 4 legs around an invisible L (bottom-left) corner, is called sanpi. This is a combination word, "san-pi." Its exact ancient phoneme is lost to history, but it came to replace the doubled tau or sigma. Likely it had frequent occurrence as a sound made with a seething of the teeth, not quite a "forwards" or "backwards" th, like in "thought" or "there," but not really an "sh" sound either. A lispy sound. More likely thatt tthe correctt ssound iss approxima-tted by ssimply sseeing whatt happenss ass we double tease let-tterss ess and tte in our own language. [Pronounce "tease" in place of these, above]

И The Pamphylian va, which looks like the Russian long e, made a "v" or more likely a "wv" sound, likely preceded by a vowel which may have been written as a diacritic that was sometimes dropped from writing. It seems some adaptions of it dropped the final stroke, providing us with our V. In Melos, there was a variant of beta that looked like this, as well as over a half-dozen other variants of beta (most absent from Unicode). A notable one in Cyclades looked like the uppercase C.

И Identical to it in appearance was the Arcadian tsan, which made a "ts" or "tz" sound and was likely the initial consonant of some dialectic words. This letter only survives from one document, the Arcadocypriot Greek of Mantineia, where it is also possible it made a sound like "kw."

ㅏ or Ⱶ What looks like the symbol called a "turnstyle" in English, made a sound like epsilon, but was written before a second vowel, presumably as a compromise between e and i. It could in fact have realistically been like the Korean letter A, which looks the same. Much like the tsan, this usage of this symbol—as a letter, and not a diacritic—only survives from one document—a set of grave stelae dated 7576 ADA from the Boeotian city of Thespiae. See manicule below. While it only has one known occurrence as a proper letter, this symbol is found widely elsewhere, as the Alexandrine grammarians used it as a diacritical symbol for rough breathing. In Taranto, it seems to have been used as an h, where a letter that looks like capital H (see below) was used as an e. This is somewhat different than the Claudian "half H," which was of three letters the 4th Roman Emperor introduced nearly half a millenia later; the others being the antisigma Ↄ and digamma inversum Ⅎ. It is not clear what exact sound any of those three made; Claudius had written a treatease about them while a private individual—before becoming Censor and Emperor; however since all of his writings were lost, and his spelling reforms were not successful, one can only infer.

Such a distinction—between E and H—does not exist strongly in many Greek dialects.

Ϙ or ϙ What looks like a capital O on a stem, called qoppa or koppa, is found representing the back allophone of k before back vowels, perhaps more similar to the q in Qatar. It comes from the Phoenician qoph: 𐤒

Then there is what looks like an H written with two additional straight lines, similar to 日 (rì) the Chinese character for sun (said like a sarcastic "Really," with unphonecized Ls): a line connecting the top, and a line connecting the bottom; or like a xi with vertical bars on each side. This letter was used for the English h consonant, where the "eta," previously called "heta," eventually took on the role of a vowel.

□ and H A square letter was used in Knidos for the epsilon e sound, where the eta, letter that looks like capital H was used as an h, and detained the name heta.

What looks like a Norse B, or an hourglass ᛒ A letter which looked like the Norse "berkanan," "bjarkan," "beorc" that is, their B; or written in Sicyon as a 90-degree rotation of the Norse ᛞ called "dagaz" or daeg (pronounced "day"), an hourglass shape, was used perhaps most notably in Corinth to represent what most agree is an e, alongside the "normal" letter epsilon. However, since those outside Greece reference the Greco people as Barbarians because they thought their speech sounded of heavy B words, with semirhotal overvowels—like the British "er" spelled "uh" in American—and given the complexity of this letter, it is actually very likely it made a B or doubled-B sound with this overvowel.

. Both epsilon and psi have variants that look like a downwards-pointed arrow. It is difficult to find a symbol for that. 画一个 is the Chinese writing for "Draw an..." And here what looks like an up arrow is called "gay," with downward inflection.

Many Greek letters evolved from the adding of a new stroke, or the subtraction of one, when cities with differing alphabets encountered the same sygn (letter shape).

Relevant to all these Greek letters, one should also know the symbol called "del," which is used in mathematics (particularly with regards to the transverse polarization of light). Also, and perhaps more wisely, called "nabla," after the Hellenic Greek word for harp, it looks like an "upsidedown triangle" and is not attested in any known Greek texts. Rather, it was suggested by the encyclopedist William Robertson Smith to physicist Peter Guthrie Tait in correspondence, and stands for the differential operator given by x, y, z, on Cartesian spacial coordinates with unit vectors i, j, k.

It was invented to replace the formerly used symbol which could be confused with delta, a left-pointed triangle. The Irish mathematician and physicist William Rowan Hamilton gets credit for introducing that one in the year 9837 ADA. (These names are associated with letters to preserve them; of course every capital Greek letter has seen numerous rotations over the millennia. One can only imagine—the length of description required to accurately convey what these letters looked like, what hell future centuries would face if we did not take such care.)

Lastly, although it looks similar to a Greek letter, what looks like a large round schwa, or upsidedown e, is called the general differential operator. In handwritten form, it bears strong resemblance to the lowercase d, e, and a; a resemblance which was used quite punningly in the Navier-Stokes incompressible-fluid equations.

~

Footnote 1 The Etruscan Marsiliana tablet is a fascinating relic that deserves a side-note: It contains an early descendent of the Greek alphabet from before the invention of omega, and had 26 letters.

Footnote 2 Ancient Hebrews kept much of their writings secret, and only taught literacy to men, and only then when he was well-past his prime—a ripe age of 40 years (perhaps after teeth became weak or'd begun to decay, or after he'd lost one— this way, even if a man turned away from the sect he'd be unable to teach a younger son correct pronunciation). Though most claim it was given directly by God, archeology indicates very strongly that their alphabet is, in fact, Phoenician. They and many Muslims still maim their children's genitals in a similar misguided delusion (a procedure which removes the large majority of pleasure nerve endings /for no actual medical reason/). Many modern Jews do strive to fix ancient mistakes, and will offer to teach whatever they know of Hebrew/Yidish to anyone. The letter ש‎ which, drawn from right to left, has 2 curved backwards Ls, the smaller above the other, and the 2 connected with a straight diagonal line, is called "seen" or "shein." It is a "sibilant s" with a sound like in "sour," but also like the sh in Shaddai. The hand gesture for this letter is now the more widely known "Vulcan salute." שׁ with a dot on the right indicates an sh, while a dot on the left שׂ‎ an s; however, in writing these consonantal diacritics are very often neglected. Right-to-left alphabets are also liable to have their characters scrambled in Unicode. While it may be funny to see that the Semitic word for something is, well, looks like an expletive from a comic book, realize that around the world people are fighting for the ability to just write down their own thoughts, and of this race in particular, Semites, many are still murdered every year in prejudice.

Footnote 3 (34 Greek capitals, substituting where necessary): Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Ʃ Τ Υ Φ Χ Ψ Ω F M ẞ V И Ⱶ Ϙ 日 □ ᛒ

Alpha, beta, gamma, delta, epsilon, zeta, eta, theta, iota, kappa, lambda, mu, nu, xi, omicron, pi, rho, sigma, tau, upsilon, phi, chi, psi, and omega; digamma, san, ssanpi, vylian, tsan, heia, qoppa, hon, eye, bee

Ah, bay, gah, dah, eh, zee, yeh, tet, ee, ki, la, muh, nah, shee, uh, py, roh, see, tay, ooh, fee, chee, say, oh; vwa, tze, tteethss, wva, tsi, eheh, qach, hoh, ay, bbugh

Manicule ☞The After-Developent-of-Agriculture calendar traces modern history back to the approximate domestication of the potato plant, in Peru. This dating system was developed about half a century ago, in 9978.

Chapter 4

Sets and Modules

The Sun-tzu Remainder Theorem, or SRT--incorrectly called the "Chinese remainder theorem"--states:

If you know what remains when dividing a given number by another, and you know also the remainder when that given number (the dividend) takes a second divisor, then when this number takes a third divisor equal to the first and second multiplied, even without knowing what number you have been given, one obtains the remainder so:

Take the number that is remaining after whichever of your first two divisors was bigger, and add it to multiples of that divisor until you reach the smallest number that has the same remainder that you obtained from the smaller.

This is the remainder of the third. If you then discover that the number you were given is less than that third divisor, then this third remainder is the only number that you could have been given.

0 (which is a raised dot in module 27) has no sets. Anything multiplied by zero is zero. Zero is a node. It is an absolute. Nothing can be divided by zero except modularly; when, in geometry, a distance is treated as though it is really a node or point.

It is not an even number, but all even numbers are equivalent to zero in even modules; as numbers divisible by 3 (which are multiples of 3) are equivalent to 0 in mod 3, and all modules of a power of 3. For as many numbers as are divisible by a number x, the percentage of them that is equivalent to 0 in a given module, m, is the same as x divided by m, or x over m. As this example will be discussed below, you can remember that half of the numbers divisible by 3 are equivalent to 0 in module 6.

4.1 The module 1 has only 1 and 0. The square root of 1 is, you recall, 1's second root. It only exists in modules that have seconds; that is, mod 2 and higher. There are no sets in mod 1, and no root forms or forma. Every module has the module number, m, squared, plus 1 additional form, counting zero. Forma can be considered primary. For any number to be represented in a lower module, places must be added to the 1st. (In familiar module 9, which has base 10, these are the 10s, 100s, 1000s, etc.; in module 8, for example, they are also represented using the 1st and 0th numerics: 10, 100, 1000, 10000, 100000, 1000000, "ten, hundred, thousand, myriad, legion, million" but they have the values of 9s, 81s, 729s, 6561s, 5,9049s, "nines, eighty-ones, seven twenty-nines, sixty-five sixty ones, five ninety forty-nines, fifty-three fourteen forty-ones, and so on.")

Handling large numbers is aided by commas after every 4 digits. As we use a few large ones, you'll see why I say we should get more used to mentioning a number with four zeros after it as "myriad," and shy away from the common phrase "tens of thousands."

A number multiplied or divided by 1 any number of times remains the same. All 1's settings are, naturally, of the same absolute value (which, you remember, is AV, represented with vertical bars around a positive or negative number).

It is important to reiterate here, equal in absolute value does not mean equal.

The nth set of the nth squaring of a number x, is that number, x. Every number is equal to the nth set of its nth squaring. But the nth squaring of a number's nth set is not necessarily that same number, x, geometrically speaking. For instance, 2's 2nd set is its 4th root, and the 2nd squaring of the 4th root of 2, which is 2's square root, is 2; however, the 2nd set of 1, which is the 4th root of 1, if squared once is 1; 1 squared has AV 1 still, but you see, either the former of these represents a line distance while the later represents a square area of 1, or the former represents a square area of 1 when the related square has sides of square root 1, and the later represents a cube, having sides of square root 1 (as the square root of 1, then cubed, is 1).

I certainly hope I have not confused you. To put it in other words, this process is not reversible. 1 squared is still 1, and if it is ever necessary to multiply 1 by itself this indicates that the dimension of the problem has been underestimated, and root symbols are missing.

This is similar to a cake-cutting problem: 1 over 2 can represent 1 cake being divided between 2 people, or the halving of a slice between 2, but either of these is fundamentally different from 8 over 16, which could be 8 people each receiving 2 slices of a cake cut into 16ths, or each of them getting 2 cakes. While simplifying denominators does give the same absolute value, it is similarly an one-way operation: if we only know each person received 2 cakes, we cannot calculate how many cakes were in the batch, despite knowing the ratio 1 to 2 was used, unless we additionally know the number of people there were.

I'm afraid your author may have to leave some of these settings out tables as calculator practice for you, adventurer. The device this is being written on is extremely slow...

If parts of this chapter remain unfinished, it will be due to the making of this work on the notepad of a glitchy, poorly outdated phone whose battery cannot last a single day. Many major websites simply will not work.

Yes, planned obsolescence is the term. Makers of reliable technology like the fondly-remembered RCA stereos, are a thing of the distant past. Apple, GE, Google, Philips, just to name four of the trillionaire technocrats controlling the world through fear, who keep information gated. Phoebus "FEEbus" or H G mercury hydra companies, as they grandiosely have called themselves, are responsible for millions of people suffering in the world. I remind you: every 10 seconds, someone dies—is killed—directly by their action; or rather inaction. I remind you: world hunger could be ended before you eat dinner tomorrow. See final note: "sun."

The 1st setting out (or "set") of 1 is the second (2 to the first's) root, or the square root, of 1. The 2nd set of 1 is the 4th (2 to the second power's) root of 1. The 3rd set of 1's the 8th (2 to the 3rd) root of 1 The 4th set its 16th The 5th its 32nd root of 1 The 6th its 64th, And so on, until The 25th set of 1 is its "Thirty-three fifty-fifth, forty-four thirty-second" root, and The 26th set of 1 is the "sixty-seven tenth, eighty-eight sixty fourth" root of 1.

Likewise, the first set of square root 1 is 1. The 1st set of 4 is 2 And the 1st set of six hundred and seventy-six, is 26.

Simple, I know. But technically, even Michael Stiefel got this wrong in his monumental work "Arithmetica Integra," because he neglected roots, and so the world lost settings 2 and up.

4.2 The module 2, boxed, has 5 forms: 2, square root 2, 1, square root 1, and 0. There are no cubes in the second module, nor does the number 3 exist for the purposes of finding a third root, or as a placer.

Every module has (x-squared + 1) contained forma. If we list in one row or column the integral numbers, that is their first root forms; and in the second, their square roots; in the third their cubic roots; and so on, we can draw perfect squares of a given x. Remembering that any x can be a sum, I tell you now, it is a rabbit hole to deal with fractional roots. For now we will just look at Module 2, which is base 3.

Here, we run into something very interesting: the second module, boxed, is a square, if we don't count zero. This box, then, is the first to contain roots, but not squares, and of course, we must consider the square roots of its whole numbers 2 and 1. They are contained in a square table where, once again, the first row or column has whole integers (first forms), the second has second roots (second forms), the third cube roots (third forms), and so on.

Since the distance we call square root 2 has its geometrical existence in the natures of 3 and 4, being either the width of a poly with 2-cubed sides of 1 (an octagon), or the length of one side of a 3-sided poly (a triangle), or as a distance within a shape of 2 to its 3rd power, it exists as a real distance, smaller than the units 1 and 2, and so can be found in the module table; but physically cannot be reached in one direction before 3 points are in play: 0, 1, 2; nor in the other direction until 4 points are in play, a square root being, after all, the root of a square, and a square is 4-sided.

As you can see, the existence of each unit distance creates smaller and smaller root unit subdistances, which are found in the geometrical nature of the shapes they construct.

I am doing this in boxes, on imaginary paper. You can afford it too. That itself is a simplification in a tetrahedral model that requires at least 8: four real, four imaginary. Later in this book, I will outline a problem regarding incompressible fluid. The example I provide you is 2-dimensional; but dimensional expansion is pyramidal in essence.

Knowing this, you should not find it necessary to further the example.

Once 2 has been reached, there can be 2 number of objects measured 1; we can achieve the square root of 2 from that. Of course, we cannot have a root number of countable objects, any more than we could have… oh, a game, with a negative number of players.

To say that 3 does not really exist in mod 2, without further explanation may be dizzying as 3 is such a fundamental concept. Respectively, even and odd are equivalent to 0 and 1 in module 2, and this statement is true: 2 is equivalent to 0 mod 2. 3 is equivalent to 1 in mod 2 which is base 3; and here it is written "one-zero."

To hammer this point in, every module, because it has 0 in it has an odd number (a square +1) of forms contained in its box, but whatever number is the highest in the module is equivalent to 0. I have said this already; I will say it again: 0 is an absolute. It must be considered a distinct point, because even though it lies on the same clock position as 2 in the 2nd module clock (which alternates between even and odd, or e and o); of course, having 2 objects is fundamentally different from having none. When we say we will divide by 0 in an even module, typically this is a funky way of saying that we will divide by the module number.

We can see very easily that 2x+1 is always odd (equivalent to 1 in mod 2). Given the function of n

f(n) {n/3 if n ≡ 0 (mod 3), 3n+1 if n ≡ 1 or 2 (mod 3)},

"n divided by three if equivalent to 0 mod 3, or multiply by 3 and add 1 if equivalent to 1 or 2, same module,"

we can see that obviously, no matter what number is picked for n, the process will NOT inevitably reach 1 (as all of the results are equivalent to 1). Starting at 1, the first few steps are 10, 31, 94, 283, 850, 2551, ("twenty-five fifty-one") 7654, ("seventy-six fifty-four") 2,2963 ("two twenty-nine sixty-three,") and so on. If any number equivalents 1, it is 1 whole number greater than a multiple of the given module. A partial generalization of this "3x+1" function follows. Full generalization would be to make all of the integers letter variables.

f(n) {n/m if n ≡ 0 (mod m), 3n+1 if n ≡ x ≠ m (mod m)}.

"Function of n. N over m if n is equivalent to zero module m, or times 3 plus 1 if it's equivalent to an x not equal to m."

There is a symbol for nonequivalence, that looks like the equivalent symbol (three horizontal lines) with a slash thru it; it is missing, hence the need for an

x value. I chose the "not equals" symbol instead of "less than," because while it can be said that 0 is less
than m (0 being equivalent to m in the way that 12 on a clock is in the 0th position); such a number is also

greater than 0 being m whole movements away, having presumably started at 0, not 1.

In a module m, any number not m must be less than m.

If now we change our function so it divides n by 3 if it's equivalent to zero in BOTH mods 2 and 3 (that is, if it's divisible by 6), and does "3x +1" to it otherwise,

it is similarly apparent that—since in mod 2 every number is equivalent to zero if

even, 1 if odd—any number not factored with 6 (which would

be divided immediately regardless of the divisor) must go thru the latter step.

As above, every step of this process is equivalent to 1 in modules 2 and 6.

So since this is recursive, we can just as well say,

f(n) {n/x if n ≡ 0 (mod 2) AND 0 (mod 3), else 3n+1}; "A function n, where n is divided by X if equivalent to 0 in mods 2 and 3, else 3n plus 1," where x ≠ 1 necessarily, otherwise we cannot go anywhere from the 6 factor we started on.

This is subtly different from saying, if n were equivalent zero mod 6. This is more complicated because we basically have 2 wheels turning inside each other.

Now, take a function of n where it's divided by 2 if equivalent 0 mods 2 and 3, but 3n+1 if it's equivalent to 1 mod 2.

f(n) {n/2 if n ≡ 0 (mod 2) AND 0 (mod 3), 3n+1 if n ≡ 1 (mod 2)}.

Same thing,

except:

since in this case we are only dividing by 2 if our number is divisible by 6, multiplying by 3 and adding 1 if it is odd, this last function is written incorrectly; because there are numbers that are not included in our function: those equivalent to 0 mod 2, but not in mod 3.

To correct this, we have to account for all even numbers not divisible by 6.

Hence you see, it is better to write an else function:

f(n) {n/2 if n ≡ 0 (mod 2) AND 0 (mod 3), else 3n+1} "Here, a function of n where n's halved if equivalent 0 mods 2 and 3, else 3n+1."

We cannot ignore the utility of the function "else." This little word saves us from having to write a lengthy string like "Three x plus one if zero is less than x which is less than or equal to 5 mod 6," or "3x+1 if 0 < x ≤ 5 (mod 6)" for when n is not equivalent to 0, in the above.

In this case, we can see that no number that is 1 greater than a multiple of 3 can ever

be divisible by 6.

Recall the SRT, Sun-tzu's Remainder Theorem: we can replace module 3 with module 4, and now see that a given number will eventually reach this. (4 is greater than 3)

Furthermore, since module 4 overwrites module 2—overwrites it!—the statement "N is equivalent to zero mod 2 and zero mod 4" n ≡ 0 (mod 2) AND 0 (mod 4) is equivalent to saying,

"N is equivalent to zero mod 4." n ≡ 0 (mod 4);

This makes things easier.

So the function of n "where divided by 2 if equivalent to zero mods 2 and 4, or else," f(n) {n/2 if n ≡ 0 (mod 2) AND 0 (mod 4), else 3n+1}

is really equivalent to "where divided by 2 if equivalent to zero mod 4, or else." f(n) {n/2 if n ≡ 0 (mod 4), else 3n+1.}

Now, since we can observe that this last function will eventually reach 1, we can also determine that the function of n

"Where divided by 2 if equivalent to zero mod 2, else 3n plus 1" f(n) {n/2 if n ≡ 0 (mod 2), else 3n+1} will also reach 1 eventually.

This was called Collatz Conjecture; like Goldbach's, which we attack in chapter 6, it can also be called a theorem. (Whereas the so-called "theorem" of de Fermat is correctly called a "conjecture.")

The first set of 4 is 2 The second set of 16 is 2 The third set of 256 is 2, and so on, and so forth.

4.3 The third module has cubes and cubics. To take the third power, that is to cube, of a cube is called a second cubing. Some may call this "ninthing."

The 1st set of 9 (the first square of 3) is 3 The 2nd set of 81 is 3 The 3rd set of 6561 is 3 The 4th set of 4304,6721 ("forty-three oh four, sixty-seven twenty-one") is 3.

Once again, to make the next set, just square the set beneath it.

4.4 Lagrange was the first to write the observation that every number can be constructed of 4 squares. A 4th dimensional cube is called a tesseract. To raise a number to its 4th exponent is to tessellate it; the first tessellation of 4 is 256. The fourth, having 146 digits,

13,4078,0792,9942,5740,2499,8205,8461,2747,9365,8205,9239,3377,7295,6144,3721,0300,7354,6976,8018,7429,8166,9034,2769,0031,8581,8648,6050,8537,5388,2811,9465,6994,6433,6490,0608,4096

can be called "thirteen the 36th myriad, forty seventy-eight the 35th, oh-seven ninety-two the 34th, ninety-nine forty-two the 33rd..." And so on.

As it is readily apparent that saying the names of large numbers is greatly aided by the myriad system, so be the numbers in this work separated by myrial commas, rather than by thousands. It is in fact, an older system of counting that was literally decimated.

Our square root 1 cube from earlier can be expressed as a cube having sides 10 and area 1000, which is appealing if we call it "ten hundred" instead of "a thousand" or if we give it sides 100 its area is 1,000,000 or 100,0000 which is 100 myriad. But remember that if we decide to simplify our numbers by just adding zeros, we are working in a lower dimensional system.

When doing so, it is more reasonable to use a counting system whose cubes keep the figure of the sides, followed by the counting word; as opposed to becoming overly charmed by "thousands" or "millions," which in the long run lead us to more complexity. (A myriagon is a polygon with 1,0000 edges, the square of 100.)

Another special thing about the number 4 is that there are 4 ordering chemicals that order [[DNA (alphabetically, these are adenine, cytosine, guanine, and thymine;

abbreviated ACGT, or GTAC.)

The 1st set of 16 is 4; The 2nd set of 256 is 4; and The 3rd set of 65536 is 4. "Six fifty-five thirty-six"

4.5

To take a number to the power of 5 is called quintillation. Five is a quintessential number closely related to spirals; playing with this diag rewards several methods of multiplying or dividing areas by 5

Sigil

Sigil, by L. Opendack; done in Pilot 0.7 red ink

The 1st set of 25 is 5 The 2nd set of 625 is 5 (This is not "cube 5," which is 125; a common enough

error to address. Actually, it is better to call 125 properly "5 cubed," or "the first cubing of
5," so as not to confuse it with a fifth cubing.)

The 3rd set of 39,0625 is 5. Five's fifth cubing cannot be expressed on my calculator.

4.6 Six is the first perfect number. In Latin it's "sex."

4.7 Seven is special for other reasons besides primeness. Before we look at sets of 7—and I'll tell you, the word "set" is actually Latin for seven; same root as September, and in Italiano it's sette, because they didn't pronounce the p for a long time... Well of course, we began saying ours again, but we could try it like pterodactyls if you aren't perturbed... Before we do more sets, let's work out another.

E bricks

An Euler "oiler" brick is a cuboid that possesses integer edges "A is greater than b which is greater than c" A > B > C where the face diagonals are given by dᴀʙ √(A²+B²) dᴀᴄ √(A²+C²) dʙᴄ √(B²+C²)

Using the small caps script is due—

...

What do you mean, dear?

...

Er, yes. They are large ones.

...

Indeed. You see, it's once again to my inability to get lowercase subscript. That could be a problem. Of course you remember how Greek made everything a little more complicated. In this case, though, it's perhaps more appropriate, because we are dealing with sides of a cube, and we do not want to become confused with the Pythagorean formula a² + b² = c². Erhm…

...

Yes, you will notice this is the same as the formula for c given earlier, which here is equal to dᴀʙ. You should also realize this is another approach to the de Fermat puzzle.

...

Here.

...

*You've been given 2 equal rings*

...

Of course!

We are still on our way to deal with the bricks..!

But…

For no Reason but visual Appeal, and before we venture deeper…

…

Here are the 26 small majuscule script letters, which I have kept safe:

ᴀʙᴄᴅᴇꜰɢʜɪᴊᴋʟᴍɴᴏᴘǫʀsᴛᴜᴠᴡᴢʏᴢ

Do be good and save them well, or they could be turned into icecubes.

Wouldn't that be sad?

Please keep them safe so they can reproduce.

They could be helpful to us someday. Let's keep going…

Oh—!

There is just one more thing:

...

Well, you see, there's just another little tiny detail I neglected to mention…

You may encounter ғ

It and s resist icing.

...

And do be worried. The Consortium is hiding these symbols.

...

Don't worry. I'll make them change.

...

I know. But the Consortium isn't all bad. I'm sure I'll convince them. We'll be able to write like Greeks whenever we want.

...

Sigh…

You know, all these shifts you're thinking about, honestly it could be one button.

…

What we're doing now's definitely getting us there.

…

Plus, we'll have all the supers and subs, even be able to write OVER our lines in other scripts. All the ligatures… And how about shifts you can chose yourself..? Sponge. That's a good example.

Do you even know how much money they make? It's not as much as you think. If I'm right about all this, I could just buy the Presidency, and make everyone on the Council secretaries. If they don't want a chair, that's fine. But then we won't have to deal with them anymore either. I need the good ones. Yes. But I'm getting a tad sidetracked. I'm supposed to be showing you how you'd draw this one.

…

Start on the middle right. Straight left, and then go down.

/Now,/ in the middle of the /box/ you've just made! A second line that transects the back side—left.

…

Straight, of course.

…

There we go.

"Ghayn," or "Ayn," it's named. It's used in Kazhak (its 6th letter) for voiced velar and uvular (post-velar) fricatives. It's used in the Uzbek alphabet for the latter, but their official spellings do not include this letter; a g' may be found instead. It's like the second g in garage, but further back in your throat; English does seem to have an exact equivalent, but there are many differences between English and Central Asian languages. In Kazhak, ө looks like a small theta but is actually an ö (Two raised dots generally indicate a sound like oe but here I have no first-ear knowledge. Due to its use in a number of varied languages, it is unwise to refer to it as "umlaut," referring to non-Germanic use). When found in Arabic languages (and there are many), it's transliterated as the gh in Baghdad or Ghazzah (usually spelt Gaza). The Parisian French "r" is preportedly the closest sound equivalent familiar to most English-speakers.

As distinct as F from G, though in Arabic those handwritten medials, "faa" ف , "gayn" غ , bear strong resemblance.

Uzbekistan is currently undergoing its second major spelling reform, to the Roman alphabet from Cyrillic. The first, away from a number of varied Arabic scripts, was by USSR order in 9940 ADA. Mandated spelling reform is always political in nature. (Both the Roman and Cyrillic scripts are called "Latin.")