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NUMBER THEORY
- numericals , numericality ,
- numerical quantity ,
- countable ,
- calculations , calculatable
- numerical measure
- Oral calculations
- Mathematical or scientific speech
- mathematical operations
- addition
- subtraction
- Multiplication
- Division
- Algebraic operations
Numbers as Abstractions: Numbers are concepts we use to quantify things. They aren't physical objects themselves, but mental constructs. We use symbols like digits (0, 1, 2, etc.) or numerals (ten, twenty, etc.) to represent these quantities.
Traditional Number Representations (not strictly 1D): Decimal System: The most common system uses digits 0-9. The position of a digit determines its value (10s place, 1s place, etc.). This isn't purely 1D as position matters. Binary System: Computers use binary, where 0 and 1 represent on/off states. While the digits themselves are 1D, a series of them is needed to represent a number.
| quantity | occurence | compound Parts | position | Tuple | Fold / ways | priority | month | importance | part / fraction | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| zero | ||||||||||||
| one | once ( एकस्मिन् ) | monad ( एकजुट ) | first | single / singleton | एकल , अकेला | one fold | firstly | march | primary ( प्रथम (prathmesh) | singular ( एकधार ) | unit / solitary | |
| two | twice ( द्वयोः ) | dyad ( द्वैत , द्वित्व ) | second | double ( दोगुना ) | doublet / couple/( युग्म , जोड़ा , जुड़वा ) | two fold ( दोहरा , द्विधा ) | secondly | april | secondary ( द्वितीय (dvitiya) | binary ( द्वि-आधारीय ) | semi / hemi / half | |
| three | thrice ( त्रिः ) | triad ( त्रिक , त्रित्व ) | third | triple ( तीन गुना ) | triplet ( त्रिपुटी ) | three fold ( त्रिधा , तिहरा ) | thirdly | may | tertiary ( तृतीय (tritiya) ) | trinary ( त्रि-आधारीय ) | trient ( त्रिभा अंश ) | |
| four | Quarce ( चतुः | tetrad ( चतुष्टय , चतुष्ट्व ) | fourth | quadruple ( चतुर्गुण , चौगुना ) | quadruplet ( चतुष्टय ) | four fold ( चतुर्धा ) | fourthly | june | quartary ( चतुर्थ (chaturth) | quaternary ( चतुर्-आधारीय ) | quadrant ( चतुर्थांश ) | |
| five | Quince ( पञ्चधा , | pentad ( पंचक , पंचत्व ) | fifth | quintuple ( पंचगुण ) | five fold ( पंचधा ) | fifthly | july | quintary ( पंचम (pancham) ) | quinary ( पंच-आधारीय ) | quintant ( पांचवां अंश ) | ||
| six | Sence ( षड्धा , | hexad ( षट्क , षड्त्व ) | sixth | sextuple | six fold | sixthly | august | sextary ( षष्ठम (shashtham) ) | senary ( षड्-आधारीय ) | sextant ( षष्ठांश ) | ||
| seven | Septence | heptad ( सप्तक , सप्तत्व ) | seventh | septuple | seven fold ( सप्तधा ) | seventhly | september | septimary ( षसप्तम (saptam)) | septenary( सप्तम-आधारीय ) | |||
| eight | Octence | octad ( अष्टक , अष्टत्व ) | eighth | octuple | eight fold | eighthly | october | octavary ( अष्टम (ashtam) ) | octonary ( अष्ट-आधारीय ) | octant | ||
| nine | Novence | nonad ( नवक , नवत्व ) | ninth | nonuple | nine fold | ninthly | november | nonary ( नवम (navam)) | novenary ( नवम-आधारीय ) | |||
| ten | Tonce | decad ( दशक , दशत्व ) | tenth | decuple ( दशगुण , दस गुना ) | tenfold ( दशधा ) | tenthly | december | decimary ( दशम (dasham) ) | denary ( दशम-आधारीय ) | |||
| polyad ( बहुल्क , बहुत्व ) | ||||||||||||
| unimportant | ||||||||||||
| important | ||||||||||||
Discussion