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Arabic digits Arabic digits
0 1 2 3 4 5 6 7 8 9


#REDIRECT Numbers (0s)
Cardinal 2
two
Ordinal 2nd
second
Numeral system binary
Factorization prime
Divisors 1, 2
Roman numeral II
Binary 10
Octal 2
Duodecimal 2
Hexadecimal 2

2 (two) is the natural number following 1 and preceding 3. Prefixes for 2 are di- ( GreekNumerical prefixes can be used to construct words that refer to a specific quantity of something. For example, in chemistry, carbon dioxide refers to a molecule containing two (di) oxygen atoms. A tetrahedron is a polyhedron with four (tetra) identical fa) and duo- ( LatinThese numerical prefixes are from the Latin language: Whole numbers 1. tri- or tre- 4. quadri- 5. quinque- 6. septua- 8. nona- 10. deci- 20. vigen- 100. cent- 1000. mill- Fractions 1/2. semi- 3/2. sesqui- See also Greek numerical prefixes.).

1 Evolution of the glyph


The glyph we use today in the Western world to represent the number 2 traces its roots back to the Brahmin Indians, who wrote 2 as two horizontal lines (it is still written that way in modern ChineseWhen used as an adjective, Chinese refers to anything that originates from China, e. Chinese cuisine. When the word is used as a noun, it means one of the following: the Chinese language, either in general or specifically Chinese written language, Chinese, and is analogous to the Roman numeral II). The Gupta rotated the two lines 45 degrees, making them diagonal, and sometimes also made the top line shorter and made its bottom end curve towards the center of the bottom line. Apparently for speed, the Nagari started making the top line more like a curve and connecting to the bottom line. The Ghubar Arabs made the bottom line completely vertical, and now the glyph 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 glyph.

2 In mathematics

Two has many properties in mathematicsMathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of "figures and numbers". In the formalist view, it is the investigation of axiomatically defined abstract structures. An integerThe integers consist of the positive natural numbers (1, 2, 3, …) the negative natural numbers (−1, −2, −3,. and the number zero. The set of all integers is usually denoted in mathematics by Z (or Z in blackboard bold, ), which st is called even if it is divisible by 2. For integers written in a numeral system based on an even number, such as decimal and hexadecimal, divisibility by 2 is easily tested by merely looking at the one's place digit. If it's even, then the whole number is even.

Two is the smallest and the first prime number, and the only even one. The next prime is three. Despite being a prime, two is also a highly composite number, because it has more divisors than one. The next highly composite number is four.

Two is a factor of ten, so fractions with 2 in the denominator do not yield infinite decimal expansions, as is the case with most primes.

Two is the base of the simplest numeral system in which natural numbers can be written concisely, the binary system widely used in computers.

For any number x:

x+x = 2·x Addition to Multiplication
x·x = x2 Multiplication to Exponentiation
xx = x↑↑2 Exponentiation to Tetration
Powers of 2 are central to the concept of Mersenne primes, and important to computer science. 2 is the first Mersenne prime exponent.

Taking the square root of a number is such a common mathematical operation, that the spot on the root sign where the exponent would normally be written for cubic roots and other such roots, is left blank for square roots, as it is considered tacit.

The square root of 2 was the first known irrational number.

The smallest field has two elements.

In the set-theoretical construction of the natural numbers, 2 is identified with the set {0,1}. This latter set is important in category theory: it is a subobject classifier in the category of sets.

Two is a primorial, as well as its own factorial. Two often occurs in numerical sequences, such as the Fibonacci number sequence, but not quite as often as one does. Two is also a Motzkin number, a Bell number, an all-Harshad number, a meandric number, a semi-meandric number, and an open meandric number.

Two is the number of n-Queens Problem solutions for n = 4.





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