1 and Gaussian integer

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between 1 and Gaussian integer

1 vs. Gaussian integer

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph. In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers.

Absolute value

In mathematics, the absolute value or modulus of a real number is the non-negative value of without regard to its sign.

1 and Absolute value · Absolute value and Gaussian integer · See more »

Characteristic (algebra)

In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.

1 and Characteristic (algebra) · Characteristic (algebra) and Gaussian integer · See more »

Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

1 and Complex number · Complex number and Gaussian integer · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

1 and Field (mathematics) · Field (mathematics) and Gaussian integer · See more »

Finite field

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.

1 and Finite field · Finite field and Gaussian integer · See more »

Fundamental theorem of arithmetic

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.

1 and Fundamental theorem of arithmetic · Fundamental theorem of arithmetic and Gaussian integer · See more »

If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

1 and If and only if · Gaussian integer and If and only if · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

1 and Integer · Gaussian integer and Integer · See more »

Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

1 and Multiplication · Gaussian integer and Multiplication · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

1 and Number theory · Gaussian integer and Number theory · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

1 and Prime number · Gaussian integer and Prime number · See more »

Unit (ring theory)

In mathematics, an invertible element or a unit in a (unital) ring is any element that has an inverse element in the multiplicative monoid of, i.e. an element such that The set of units of any ring is closed under multiplication (the product of two units is again a unit), and forms a group for this operation.

1 and Unit (ring theory) · Gaussian integer and Unit (ring theory) · See more »