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O que (quem) é quadratic congruence - definição
INTEGER THAT IS A PERFECT SQUARE MODULO SOME INTEGER
Quadratic residues; Quadratic non-residue; Quadratic congruences; Quadratic congruence; Modular square root; Square root modulo n; Square root mod n; Quadratic residuosity; Quadratic nonresidue; Least quadratic non-residue; Quadratic excess
Quadratic residue
In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e.
Congruence relation
EQUIVALENCE RELATION IN ALGEBRA
Congruences; Congruence transformation; Congruence (in algebra); Monoid congruence; Congruence transformations; Congruence Relation; Compatible (algebra); Compatible 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 in the sense that algebraic operations done with equivalent elements will yield equivalent elements.Hungerford, Thomas W..
Quadratic irrational number
MATHEMATICAL CONCEPT
Quadratic surd; Quadratic irrationality; Quadratic Irrational Number; Quadratic irrationalities; Quadratic irrational; Quadratic irrational numbers
In mathematics, a quadratic irrational number (also known as a quadratic irrational, a quadratic irrationality or quadratic surd) is an irrational number that is the solution to some quadratic equation with rational coefficients which is irreducible over the rational numbers.Jörn Steuding, Diophantine Analysis, (2005), Chapman & Hall, p.
Wikipédia
Quadratic residue
In number theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that:
Otherwise, q is called a quadratic nonresidue modulo n.
Originally an abstract mathematical concept from the branch of number theory known as modular arithmetic, quadratic residues are now used in applications ranging from acoustical engineering to cryptography and the factoring of large numbers.
