"१ (संख्या)" च्या विविध आवृत्यांमधील फरक

| [[Thai numerals|Thai]] || ๑

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| [[Wiktionary:mono-|mono-]] /[[Wiktionary:haplo-|haplo-]] (from [[Greek language|Greek]])

[[Wiktionary:uni-|uni-]] (from [[Latin]])

'''१''' ('''एक''') हा क्रमांक आहे.

 

One, sometimes referred to as '''unity''', is the [[integer]] before [[2 (number)|two]] and after [[0 (number)|zero]]. One is the first non-zero number in the [[natural number]]s as well as the first [[odd number]] in the natural numbers.

 

Any number multiplied by one is the number, as one is the [[Identity element|identity]] for multiplication. As a result, one is its own [[factorial]], its own [[Square (algebra)|square]], its own [[Cube (algebra)|cube]], and so on. One is also the [[empty product]], as any number multiplied by one is itself, which produces the same result as multiplying by no numbers at all.

 

The glyph used today in the Western world to represent the number 1, a vertical line, often with a [[serif]] at the top and sometimes a short horizontal line at the bottom, traces its roots back to the [[Indian subcontinent|Indians]], who wrote 1 as a horizontal line, much like the [[Written Chinese|Chinese]] character [[一]]. The [[Gupta script|Gupta]] wrote it as a curved line, and the [[Nagari]] sometimes added a small circle on the left (rotated a quarter turn to the right, this 9-look-alike became the present day numeral 1 in the [[Gujarati language|Gujarati]] and [[Punjabi language|Punjabi]] scripts). The [[Nepali language|Nepali]] also rotated it to the right but kept the circle small.<ref>Georges Ifrah, ''The Universal History of Numbers: From Prehistory to the Invention of the Computer'' transl. David Bellos et al. London: The Harvill Press (1998): 392, Fig. 24.61</ref> This eventually became the top serif in the modern numeral, but the occasional short horizontal line at the bottom probably originates from similarity with the [[Roman numeral]] <math>\mathrm{I}</math>. In some European countries (e.g., [[Germany]]), the little serif at the top is sometimes extended into a long upstroke, sometimes as long as the vertical line, which can lead to confusion with the glyph for seven in other countries. Where the 1 is written with a long upstroke, the number 7 has a horizontal stroke through the vertical line.

 

 

Many older typewriters do not have a separate symbol for ''1'' and use the lowercase ''l'' instead. It is possible to find cases when the uppercase ''J'' is used, while it may be for decorative purposes.

 

Mathematically, 1 is

* in [[arithmetic]] ([[algebra]]) and [[calculus]], the [[natural number]] that follows [[0 (number)|0]] and precedes [[2 (number)|2]] and the multiplicative [[identity (mathematics)|identity]] of the [[integer]]s, [[real number]]s and [[complex number]]s;

Formalizations of the natural numbers have their own representations of 1:

* in the [[Peano axioms]], 1 is the successor of 0;

* in the [[Von Neumann cardinal assignment]] of natural numbers, 1 is defined as the [[Set (mathematics)|set]] {0}.

 

This power series converges and has finite value [[if and only if]], <math>| x | < 1</math>. <!-- Probably not needed, really should look at convergence theorem as there are other series that converge iff |x| < 1 -->

 

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* The [[resin identification code]] used in recycling to identify [[polyethylene terephthalate]]

* Used in [[binary code]] along with [[0 (number)|0]]

 

* हायड्रोजन चा अणू क्रमांक

 

[[ceb:1 (numero)]]

[[ckb:١ (ژمارە)]]

[[cs:1 (číslo)]]

[[cv:1 (хисеп)]]