mathematics, a multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of...

character in number theory Multiplicative character, a homomorphism from a group to the multiplicative subgroup of a field Character education, a US term for...

Other uses of the word "character" are almost always qualified. A multiplicative character (or linear character, or simply character) on a group G is a group...

one-dimensional representation of A over F. It is the algebra analogue of a multiplicative character of a group. The importance of the concept, however, stems from...

syntax was restricted to the ASCII character set, and the asterisk * became the de facto symbol for the multiplication operator. This selection is reflected...

generalizations See Multiplication in group theory, above, and multiplicative group, which for example includes matrix multiplication. A very general, and...

homomorphism from a group G {\displaystyle G} (written multiplicatively) to the multiplicative group of the field of complex numbers: η : G → C × , η...

An arithmetic function f(n) is said to be completely multiplicative (or totally multiplicative) if f(1) = 1 and f(ab) = f(a)f(b) holds for all positive...

Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. This integral transform...

products are important and are called completely multiplicative functions or totally multiplicative functions. A weaker condition is also important, respecting...

the gamma function is the integral of the additive character e−x against the multiplicative character xz with respect to the Haar measure d x x {\textstyle...

(modulo) by a constant can be inverted to become a multiplication by the word-size multiplicative-inverse of that constant. This can be done by the programmer...

the first column since 1 is the multiplicative identity.[citation needed] The traditional rote learning of multiplication was based on memorization of columns...

ρ is a multiplicative character of exact order m dividing q–1 and χ is any multiplicative character and ψ is a non-trivial additive character. Davenport...

Cobb–Douglas. A log-normal process is the statistical realization of the multiplicative product of many independent random variables, each of which is positive...

character reference refers to a character by its Universal Character Set/Unicode code point, and a character entity reference refers to a character by...

The function Λ which gives t 1 2 {\displaystyle t_{1}^{2}} is a multiplicative character, or homomorphism from the group's torus to the underlying field...

The Character Generator Protocol (CHARGEN) is a service of the Internet Protocol Suite defined in RFC 864 in 1983 by Jon Postel. It is intended for testing...

Cyberchase and Peg + Cat, the series involves child characters using mathematical concepts (addition, multiplication, using data in graphs, etc.) to advance each...

\\0&{\text{ if }}a\equiv 0{\pmod {p}}.\end{cases}}} This is a multiplicative character which means ( a p ) = 1 {\displaystyle {\big (}{\tfrac {a}{p}}{\big...

addition operation, and has a multiplicative identity element. (Some authors define rings without requiring a multiplicative identity and instead call the...

is replaced with multiplication by the reciprocal (multiplicative inverse) then the associative and commutative laws of multiplication allow the factors...

two basic facts. The first is the linear independence of characters: a multiplicative character is a mapping χ from a group H to a field K satisfying χ...

logical constructs known as character data and attribute values consist of sequences of characters, in which each character can manifest directly (representing...

formal statement of the hypothesis follows. A Dirichlet character is a completely multiplicative arithmetic function χ such that there exists a positive...

characters fk forms an abelian group under pointwise multiplication. That is, the product of characters f j {\displaystyle f_{j}} and f k {\displaystyle f_{k}}...

classes modulo n. As explained in the article multiplicative group of integers modulo n, this multiplicative group ( Z {\displaystyle \mathbb {Z} } × n)...

obeying the multiplication theorem from any totally multiplicative function. Let f ( n ) {\displaystyle f(n)} be totally multiplicative; that is, f (...

Babylonian symbols to the modern Arabic numeral. In mathematics, 1 is the multiplicative identity, meaning that any number multiplied by 1 equals the same number...

number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo of an odd prime number p: its value...