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2 Wikipedia

2 (two) is a , and . It is the following and preceding . It is the smallest and the only even .

Because it forms the basis of a , it has and significance in many .

The number 2 is the second natural number, after . Each natural number, including 2, is constructed by succession, that is, by adding 1 to the previous natural number. 2 is the smallest and the only even , and the first . It is also the first , and the first .

An is determined to be if it is by two. When written in base 10, all of 2 will end in , 2, 4, 6, or ; more generally, in any even base, even numbers will end with an even digit.

is a number system with a of two, where each “” (binary digit) is either 0 (off) or 1 (on). It is used extensively in , since simple on-off logic is relatively simple to keep track of with .

A is a polygon with two sides (or ) and two .^: 52 In , digons are , collapsing to a line segment between the two vertices. In , however, non-degenerate digons can exist.

Two distinct in a are always to define a unique in a nontrivial Euclidean space.

The integers modulo 2 form the $$

F

2

\displaystyle \mathbb F _2

, the smallest finite field. It has two elements, usually denoted 0 and 1, and addition in $$

F

2

\displaystyle \mathbb F _2

corresponds to parity. Thus reduction modulo 2 records the of an integer: even integers are congruent to 0 modulo 2, and odd integers are congruent to 1 modulo 2. In algebra, structures of 2 have special behavior because $$

1

+

1

=

0

\displaystyle 1+1=0

; in particular, every element satisfies $$

x

=

−

x

\displaystyle x=-x

. For this reason, many algebraic constructions have separate forms in characteristic 2.

A symmetry of order two is called an .

Two is most commonly a used with countable nouns, as in two days or I’ll take these two. Two is a when it refers to the number two as in two plus two is four.

The word two is derived from the words twā (), tū (neuter), and twēġen (masculine, which survives today in the form twain).

Evolution of the Arabic digit

The digit used in the modern to represent the number 2 traces its roots back to the Indic , where “2” was written as two horizontal lines. The modern and languages (and Korean ) still use this method. The rotated the two lines 45 degrees, making them diagonal. The top line was sometimes also shortened and had its bottom end curve towards the center of the bottom line. In the script, the top line was written more like a curve connecting to the bottom line. In the writing, the bottom line was completely vertical, and the digit looked like a dotless closing question mark. Restoring the bottom line to its original horizontal position, but keeping the top line as a curve that connects to the bottom line leads to our modern digit.