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1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!For any number x:

x·1 = 1·x = x (1 is the multiplicative identity)

x/1 = x (see division)

x1 = x, 1x = 1, and for nonzero x, x0 = 1 (see exponentiation)

Using ordinary addition, we have 1 + 1 = 2.

One cannot be used as the base of a positional numeral system; sometimes tallying is referred to as "base 1", since only one mark (the tally) is needed, but this is not a positional notation.

The logarithms base 1 is undefined, since 1x=1 and so has no unique inverse function.

In the real number system, 1 can be represented in two ways as a recurring decimal: as 1.000... and as 0.999... (q.v.).

In the Von Neumann representation of natural numbers, 1 is defined as the set {0}. This set has cardinality 1 and hereditary rank 1. Sets like this with a single element are called singletons.

In Principia Mathematica, 1 is defined as the set of all singletons.

In a multiplicative group or monoid, the identity element is sometimes denoted "1", but "e" (from the German Einheit, unity) is more traditional. However, "1" is especially common for the multiplicative identity of a ring. (Note that this multiplicative identity is also often called "unity".)

One is its own factorial, and its own square and cube (and so on, as 1 × 1 × ... × 1 = 1). One is the first figurate number of every kind, such as triangular number, pentagonal number and centered hexagonal number to name just a few.

Because of the multiplicative identity, if f(x) is a multiplicative function, then f(1) must equal 1.

It is also the first and second numbers in the Fibonacci sequence, and is the first number in many mathematical sequences. As a matter of convention, Sloane's early Handbook of Integer Sequences added an initial 1 to any sequence that didn't already have it, and considered these initial 1's in its lexicographic ordering. Sloane's later Encyclopedia of Integer Sequences and its Web counterpart, the On-Line Encyclopedia of Integer Sequences, ignore initial ones in their lexicographic ordering of sequences, because such initial ones often correspond to trivial cases.

One is the empty product.

One is the smallest positive odd integer.

One is a harmonic divisor number.

One is often the internal representation of the Boolean constant true in computer systems.

One is neither a prime number nor a composite number, but a unit, like -1 and, in the Gaussian integers, [imaginary unit|i]] and -i. The fundamental theorem of arithmetic guarantees unique factorization over the integers only up to units (e.g. 4 = 22 = (-1)4×123×22).

One was formerly considered prime by some mathematicians, using the definition that a prime is divisible only by one and itself. However, this complicates the fundamental theorem of arithmetic, so modern definitions exclude units. The last professional mathematician to publicly label 1 a prime number was Henri Lebesgue in 1899.

One is one of three possible values of the Möbius function: it takes the value one for square-free integers with an even number of distinct prime factors.

One is the only odd number in the range of Euler's totient function ?(x), in the cases x = 1 and x = 2.

One is the only 1-perfect number (see multiply perfect number).

By definition, 1 is the magnitude or absolute value of a unit vector and a unit matrix (more usually called an identity matrix). Note that the term unit matrix is usually used to mean something quite different.

One is the most common leading digit in many sets of data, a consequence of Benford's law.

 

ZERO!

 

We

 

RULE!

 

:sleeping:

 

finally

 

WOOOHHHOOOO!!!!

 

-6

 

[me=Gasmaskguy]wakes up[/me]
Did I miss someth.

Wtf.

 

I thought you didn't believe in that one.

 

-9

roflololol

 

-IO

Congrats Itza