Faster access than browser!Similarities between Modular arithmetic and Quadratic residue
Modular arithmetic and Quadratic residue have 23 things in common (in Unionpedia): Carl Friedrich Gauss, Chinese remainder theorem, Congruence relation, Coprime integers, Coset, Cryptography, Discrete logarithm, Disquisitiones Arithmeticae, Euler's criterion, Field (mathematics), Integer, Integer factorization, Legendre symbol, Mathematics, Modulo operation, Multiplicative group of integers modulo n, NP-completeness, Number theory, Prime number, Prime power, Primitive root modulo n, Quadratic reciprocity, Ring (mathematics).
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
Carl Friedrich Gauss and Modular arithmetic · Carl Friedrich Gauss and Quadratic residue ·
Chinese remainder theorem
The Chinese remainder theorem is a theorem of number theory, which states that if one knows the remainders of the Euclidean division of an integer by several integers, then one can determine uniquely the remainder of the division of by the product of these integers, under the condition that the divisors are pairwise coprime.
Chinese remainder theorem and Modular arithmetic · Chinese remainder theorem and Quadratic residue ·
Congruence relation
In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure.
Congruence relation and Modular arithmetic · Congruence relation and Quadratic residue ·
Coprime integers
In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.
Coprime integers and Modular arithmetic · Coprime integers and Quadratic residue ·
Coset
In mathematics, if G is a group, and H is a subgroup of G, and g is an element of G, then Only when H is normal will the set of right cosets and the set of left cosets of H coincide, which is one definition of normality of a subgroup.
Coset and Modular arithmetic · Coset and Quadratic residue ·
Cryptography
Cryptography or cryptology (from κρυπτός|translit.
Cryptography and Modular arithmetic · Cryptography and Quadratic residue ·
Discrete logarithm
In the mathematics of the real numbers, the logarithm logb a is a number x such that, for given numbers a and b. Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that.
Discrete logarithm and Modular arithmetic · Discrete logarithm and Quadratic residue ·
Disquisitiones Arithmeticae
The Disquisitiones Arithmeticae (Latin for "Arithmetical Investigations") is a textbook of number theory written in Latin by Carl Friedrich Gauss in 1798 when Gauss was 21 and first published in 1801 when he was 24.
Disquisitiones Arithmeticae and Modular arithmetic · Disquisitiones Arithmeticae and Quadratic residue ·
Euler's criterion
In number theory Euler's criterion is a formula for determining whether an integer is a quadratic residue modulo a prime.
Euler's criterion and Modular arithmetic · Euler's criterion and Quadratic residue ·
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.
Field (mathematics) and Modular arithmetic · Field (mathematics) and Quadratic residue ·
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").
Integer and Modular arithmetic · Integer and Quadratic residue ·
Integer factorization
In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.
Integer factorization and Modular arithmetic · Integer factorization and Quadratic residue ·
Legendre symbol
No description.
Legendre symbol and Modular arithmetic · Legendre symbol and Quadratic residue ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics and Modular arithmetic · Mathematics and Quadratic residue ·
Modulo operation
In computing, the modulo operation finds the remainder after division of one number by another (sometimes called modulus).
Modular arithmetic and Modulo operation · Modulo operation and Quadratic residue ·
Multiplicative group of integers modulo n
In modular arithmetic, the integers coprime (relatively prime) to n from the set \ of n non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n. Equivalently, the elements of this group can be thought of as the congruence classes, also known as residues modulo n, that are coprime to n. Hence another name is the group of primitive residue classes modulo n. In the theory of rings, a branch of abstract algebra, it is described as the group of units of the ring of integers modulo n. Here units refers to elements with a multiplicative inverse, which in this ring are exactly those coprime to n. This group, usually denoted (\mathbb/n\mathbb)^\times, is fundamental in number theory.
Modular arithmetic and Multiplicative group of integers modulo n · Multiplicative group of integers modulo n and Quadratic residue ·
NP-completeness
In computational complexity theory, an NP-complete decision problem is one belonging to both the NP and the NP-hard complexity classes.
Modular arithmetic and NP-completeness · NP-completeness and Quadratic residue ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Modular arithmetic and Number theory · Number theory and Quadratic residue ·
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.
Modular arithmetic and Prime number · Prime number and Quadratic residue ·
Prime power
In mathematics, a prime power is a positive integer power of a single prime number.
Modular arithmetic and Prime power · Prime power and Quadratic residue ·
Primitive root modulo n
In modular arithmetic, a branch of number theory, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, for every integer a coprime to n, there is an integer k such that gk ≡ a (mod n).
Modular arithmetic and Primitive root modulo n · Primitive root modulo n and Quadratic residue ·
Quadratic reciprocity
In number theory, the law of quadratic reciprocity is a theorem about modular arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers.
Modular arithmetic and Quadratic reciprocity · Quadratic reciprocity and Quadratic residue ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Modular arithmetic and Ring (mathematics) · Quadratic residue and Ring (mathematics) ·
The list above answers the following questions
- What Modular arithmetic and Quadratic residue have in common
- What are the similarities between Modular arithmetic and Quadratic residue
Modular arithmetic and Quadratic residue Comparison
Modular arithmetic has 122 relations, while Quadratic residue has 89. As they have in common 23, the Jaccard index is 10.90% = 23 / (122 + 89).
References
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