Glossary: Q

Definitions in this project whose names start with Q. The whole glossary has the other sections.

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Q def
$Q(n)$ is the largest prime-power divisor of $n$: the maximum of $p^{v_p(n)}$ over prime divisors $p$ of $n$. It is 0 when n ≤ 1. · Erdos700.Q
Q abbrev
$Q(x)$ is the number of powerful integers $n$ with $1 \le n \le x$. · PowerfulNumbersDensity.Q
Q abbrev
$Q(N; q, a)$ is the number of perfect squares among the first $N$ terms of the arithmetic progression $\{q n + a : 0 \le n < N\}$. · RudinsConjecture.Q
q abbrev
Let $q(n, k)$ denote the least prime which does not divide $\prod_{1 \le i \le k}(n + i)$. · Erdos457.q
q def
The complementary prime factor $q = \frac{n!}{p - 1} + 1$. · OeisA55487.q
Q3 abbrev
$Q_3$ is the 3-dimensional hypercube graph (8 vertices, 12 edges). Vertices are 3-bit vectors. Two vertices are adjacent iff they differ in exactly one bit. · Erdos567.Q3
Qmax def
$Q(N) = \max Q(N; q, a)$, the largest number of perfect squares occurring among the first $N$ terms of any non-trivial arithmetic progression. The supremum is over a set of naturals that is bounded above by $N$ (each progression has only … · RudinsConjecture.Qmax
quadraticTwist def
The quadratic twist $E^d$ of $E : y^2 = x^3 + Ax + B$ by an integer $d$, given by the Weierstrass equation $y^2 = x^3 + d^2Ax + d^3B$. For $d \neq 0$ this is the twist of $E$ corresponding to the quadratic field $\mathbb{Q}(\sqrt{d})$. See … · EllipticCurveRank.RatEllipticCurve.quadraticTwist
quality def
Quality q(a, b, c) of the triple (a, b, c) is defined as q(a,b,c) = log (c) / log (rad(abc)). · ABC.quality
Quasiperfect def
A number is quasiperfect if the sum of its divisors is equal to $2n + 1$. · QuasiperfectNumbers.Quasiperfect
qubitFamily def
The three standard qubit mutually unbiased bases: $Z$, $X$, and $Y$. · OpenQuantumProblem13.Qubit.qubitFamily
qubitSICFamily def
The tetrahedral qubit SIC family. · OpenQuantumProblem23.qubitSICFamily