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Q FUNCTION

  • Q-function
  • Statistics function

    statistics, the Q-function is the tail distribution function of the standard normal distribution. In other words, Q ( x ) {\displaystyle Q(x)} is the probability

    Q-function

    Q-function

    Q-function

  • Marcum Q-function
  • Function in statistics

    In statistics, the generalized Marcum Q-function of order ν {\displaystyle \nu } is defined as Q ν ( a , b ) = 1 a ν − 1 ∫ b ∞ x ν exp ⁡ ( − x 2 + a 2

    Marcum Q-function

    Marcum_Q-function

  • Error function
  • Sigmoid shape special function

    minimax approximation or bound for the closely related Q-function: Q(x) ≈ Q̃(x), Q(x) ≤ Q̃(x), or Q(x) ≥ Q̃(x) for x ≥ 0. The coefficients {(an,bn)}N n = 1 for

    Error function

    Error function

    Error_function

  • Q-learning
  • Model-free reinforcement learning algorithm

    given infinite exploration time and a partly random policy. "Q" refers to the function that the algorithm computes: the expected reward—that is, the

    Q-learning

    Q-learning

  • Quantile function
  • Statistical function that defines the quantiles of a probability distribution

    {\mathcal {D}}} is the function Q {\displaystyle Q} such that Pr [ X ≤ Q ( p ) ] = p {\displaystyle \Pr \left[\mathrm {X} \leq Q(p)\right]=p} for any random

    Quantile function

    Quantile function

    Quantile_function

  • Q–Q plot
  • Comparison of two distributions

    distribution functions F and G, with associated quantile functions F−1 and G−1 (the inverse function of the CDF is the quantile function), the Q–Q plot draws

    Q–Q plot

    Q–Q plot

    Q–Q_plot

  • Q-Pochhammer symbol
  • Concept in combinatorics (part of mathematics)

    sense that lim q → 1 ( q x ; q ) n ( 1 − q ) n = x ( n ) . {\displaystyle \lim _{q\to 1}{\frac {(q^{x};q)_{n}}{(1-q)^{n}}}=x^{(n)}.} The q-Pochhammer symbol

    Q-Pochhammer symbol

    Q-Pochhammer_symbol

  • Q-gamma function
  • Function in q-analog theory

    In q-analog theory, the q {\displaystyle q} -gamma function, or basic gamma function, is a generalization of the ordinary gamma function closely related

    Q-gamma function

    Q-gamma_function

  • Transcendental function
  • Analytic function that does not satisfy a polynomial equation

    mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable

    Transcendental function

    Transcendental_function

  • Basic hypergeometric series
  • Q-analog of hypergeometric series

    function of n. If the ratio of successive terms is a rational function of qn, then the series is called a basic hypergeometric series. The number q is

    Basic hypergeometric series

    Basic_hypergeometric_series

  • Thomae's function
  • Function that is discontinuous at rationals and continuous at irrationals

    Thomae's function is a real-valued function of a real variable that can be defined as: f ( x ) = { 1 q if  x = p q ( x  is rational), with  p ∈ Z  and  q ∈ N

    Thomae's function

    Thomae's function

    Thomae's_function

  • Dirichlet function
  • Indicator function of rational numbers

    Dirichlet function is the indicator function 1 Q {\displaystyle \mathbf {1} _{\mathbb {Q} }} of the set of rational numbers Q {\displaystyle \mathbb {Q} } over

    Dirichlet function

    Dirichlet_function

  • Actor-critic algorithm
  • Reinforcement learning algorithms

    policy function π(a|s), while the critic estimates either the value function V(s), the action-value Q-function Q(s,a), the advantage function A(s,a),

    Actor-critic algorithm

    Actor-critic_algorithm

  • Normal distribution
  • Probability distribution

    Nowak, Robert (August 7, 2003). "The Q-function". Connexions. Barak, Ohad (April 6, 2006). "Q Function and Error Function" (PDF). Tel Aviv University. Archived

    Normal distribution

    Normal distribution

    Normal_distribution

  • Ramanujan tau function
  • Function studied by Ramanujan

    function, studied by Srinivasa Ramanujan, is the function τ : N → Z {\displaystyle \tau :\mathbb {N} \to \mathbb {Z} } defined by ∑ n = 1 ∞ τ ( n ) q

    Ramanujan tau function

    Ramanujan tau function

    Ramanujan_tau_function

  • Husimi Q representation
  • Computational physics simulation tool

    optics and particularly for tomographic purposes. The Husimi Q distribution (called Q-function in the context of quantum optics) is one of the simplest distributions

    Husimi Q representation

    Husimi Q representation

    Husimi_Q_representation

  • L-function
  • Meromorphic function on the complex plane

    q ( Q ) = 1 {\displaystyle \textstyle q(\mathbb {Q} )=1} , so that the complete Riemann zeta function takes the form Λ ( Q , s ) := γ ( Q , s ) L ( Q

    L-function

    L-function

    L-function

  • Theta function
  • Special functions of several complex variables

    generating function, we obtain θ ( 0 , q ) 2 = ( ∑ m q m 2 ) ( ∑ n q n 2 ) = ∑ m , n q m 2 + n 2 . {\displaystyle \theta (0,q)^{2}={\Bigl (}\sum _{m}q^{m^{2}}{\Bigr

    Theta function

    Theta function

    Theta_function

  • Jacobi elliptic functions
  • Mathematical function

    {(q^{a}+q^{2p-a})(q^{a+p}+q^{p-a})}{1-q^{3p}+{\cfrac {q^{p}(q^{a}+q^{3p-a})(q^{a+2p}+q^{p-a})}{1-q^{5p}+{\cfrac {q^{2p}(q^{a}+q^{4p-a})(q^{a+3p}+q

    Jacobi elliptic functions

    Jacobi_elliptic_functions

  • Jackson q-Bessel function
  • In mathematics, a Jackson q-Bessel function (or basic Bessel function) is one of the three q-analogs of the Bessel function introduced by Jackson (1906a

    Jackson q-Bessel function

    Jackson_q-Bessel_function

  • Ramanujan theta function
  • Mathematical function

    mathematics, particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general

    Ramanujan theta function

    Ramanujan_theta_function

  • Rational function
  • Ratio of polynomial functions

    rational function if it can be written in the form f(x)=P(x)Q(x) where P and Q are polynomial functions of x and Q is not the zero function. The domain

    Rational function

    Rational_function

  • Noncentral chi-squared distribution
  • Noncentral generalization of the chi-squared distribution

    gamma function. The Marcum Q-function Q M ( a , b ) {\displaystyle Q_{M}(a,b)} can also be used to represent the cdf. P ( x ; k , λ ) = 1 − Q k 2 ( λ

    Noncentral chi-squared distribution

    Noncentral chi-squared distribution

    Noncentral_chi-squared_distribution

  • Q (disambiguation)
  • Topics referred to by the same term

    Look up Q in Wiktionary, the free dictionary. Q, or q, is the seventeenth letter of the English alphabet. Q may also refer to: Q (James Bond), in the James

    Q (disambiguation)

    Q_(disambiguation)

  • Q-theta function
  • In mathematics, the q-theta function (or modified Jacobi theta function) is a type of q-series which is used to define elliptic hypergeometric series

    Q-theta function

    Q-theta_function

  • Floor and ceiling functions
  • Nearest integers from a number

    Floor and ceiling functions In mathematics, the floor function is the function that takes a real number x as input and returns the greatest integer less

    Floor and ceiling functions

    Floor and ceiling functions

    Floor_and_ceiling_functions

  • Modular form
  • Analytic function on the upper half-plane with a certain behavior under the modular group

    eta function is defined as η ( z ) = q 1 / 24 ∏ n = 1 ∞ ( 1 − q n ) , q = e 2 π i z . {\displaystyle \eta (z)=q^{1/24}\prod _{n=1}^{\infty }(1-q^{n})

    Modular form

    Modular_form

  • Sinc function
  • Special mathematical function defined as sin(x)/x

    needed] x n = q − q − 1 − 2 3 q − 3 − 13 15 q − 5 − 146 105 q − 7 − ⋯ , {\displaystyle x_{n}=q-q^{-1}-{\frac {2}{3}}q^{-3}-{\frac {13}{15}}q^{-5}-{\frac

    Sinc function

    Sinc function

    Sinc_function

  • Limit of a function
  • Point to which functions converge in analysis

    the following rules. q+∞=∞ if q≠−∞q×∞={∞if q>0−∞if q<0q∞=0 if q≠∞ and q≠−∞∞q={0if q<0∞if q>0q∞={0if 0<q<1∞if q>1q−∞={∞if 0<q<10if q>1 (see also Extended

    Limit of a function

    Limit_of_a_function

  • Hahn–Exton q-Bessel function
  • x ; q ) = x ν ( q ν + 1 ; q ) ∞ ( q ; q ) ∞ ∑ k ≥ 0 ( − 1 ) k q k ( k + 1 ) / 2 x 2 k ( q ν + 1 ; q ) k ( q ; q ) k = ( q ν + 1 ; q ) ∞ ( q ; q ) ∞ x

    Hahn–Exton q-Bessel function

    Hahn–Exton_q-Bessel_function

  • Quantile
  • Statistical method of dividing data into equal-sized intervals for analysis

    distribution function of a random variable is known, the q-quantiles are the application of the quantile function (the inverse function of the cumulative

    Quantile

    Quantile

    Quantile

  • Weierstrass elliptic function
  • Class of mathematical functions

    Jacobi's theta functions: ℘ ( z , τ ) = ( π θ 2 ( 0 , q ) θ 3 ( 0 , q ) θ 4 ( π z , q ) θ 1 ( π z , q ) ) 2 − π 2 3 ( θ 2 4 ( 0 , q ) + θ 3 4 ( 0 , q ) ) {\displaystyle

    Weierstrass elliptic function

    Weierstrass elliptic function

    Weierstrass_elliptic_function

  • Expectation–maximization algorithm
  • Iterative method for finding maximum likelihood estimates in statistical models

    two steps: Expectation step (E step): Define Q(𝜽∣𝜽(t)) as the expected value of the log likelihood function of ⁠𝜽⁠, with respect to the current conditional

    Expectation–maximization algorithm

    Expectation–maximization algorithm

    Expectation–maximization_algorithm

  • Softmax function
  • Smooth approximation of one-hot arg max

    The softmax function, also known as softargmax or normalized exponential function, converts a tuple of K real numbers into a probability distribution

    Softmax function

    Softmax_function

  • Divisor function
  • Arithmetic function related to the divisors of an integer

    involving the divisor function is: ∑ n = 1 ∞ q n σ a ( n ) = ∑ n = 1 ∞ ∑ j = 1 ∞ n a q j n = ∑ n = 1 ∞ n a q n 1 − q n = ∑ n = 1 ∞ Li − a ⁡ ( q n ) {\displaystyle

    Divisor function

    Divisor function

    Divisor_function

  • Euler function
  • Mathematical function

    the Euler function is given by ϕ ( q ) = ∏ k = 1 ∞ ( 1 − q k ) , | q | < 1. {\displaystyle \phi (q)=\prod _{k=1}^{\infty }(1-q^{k}),\quad |q|<1.} Named

    Euler function

    Euler function

    Euler_function

  • Monotonic function
  • Order-preserving mathematical function

    ( q i ) {\displaystyle (q_{i})} of the rational numbers, the monotonically increasing function f ( x ) = ∑ q i ≤ x a i {\displaystyle f(x)=\sum _{q_{i}\leq

    Monotonic function

    Monotonic function

    Monotonic_function

  • Gamma function
  • Extension of the factorial function

    gamma function Multivariate gamma function p-adic gamma function Pochhammer k-symbol Polygamma function q-gamma function Ramanujan's master theorem Spouge's

    Gamma function

    Gamma function

    Gamma_function

  • Hamiltonian mechanics
  • Formulation of classical mechanics using momenta

    T ( q , q ˙ , t ) − V ( q , q ˙ , t ) ) ∂ q ˙ i q ˙ i ) − ( T ( q , q ˙ , t ) − V ( q , q ˙ , t ) ) = ∑ i = 1 n ( ∂ T ( q , q ˙ , t ) ∂ q ˙ i q ˙ i −

    Hamiltonian mechanics

    Hamiltonian mechanics

    Hamiltonian_mechanics

  • Möbius function
  • Multiplicative function in number theory

    Möbius function is ∑ n = 1 ∞ μ ( n ) q n 1 − q n = q , {\displaystyle \sum _{n=1}^{\infty }{\frac {\mu (n)q^{n}}{1-q^{n}}}=q,} which converges for | q | <

    Möbius function

    Möbius_function

  • Euler's totient function
  • Number of integers coprime to and less than n

    generating function is ∑ n = 1 ∞ φ ( n ) q n 1 − q n = q ( 1 − q ) 2 {\displaystyle \sum _{n=1}^{\infty }{\frac {\varphi (n)q^{n}}{1-q^{n}}}={\frac {q}{(1-q)^{2}}}}

    Euler's totient function

    Euler's totient function

    Euler's_totient_function

  • Askey–Wilson polynomials
  • = 0 n q ℓ ( a b q ℓ , a c q ℓ , a d q ℓ ; q ) n − ℓ × ( q − n , a b c d q n − 1 ; q ) ℓ ( q ; q ) ℓ ∏ j = 0 ℓ − 1 ( 1 − 2 a q j cos ⁡ θ + a 2 q 2 j )

    Askey–Wilson polynomials

    Askey–Wilson_polynomials

  • Analytic function
  • Type of function in mathematics

    an analytic function is a function that is locally represented by a convergent power series. More precisely, a real or complex function is analytic at

    Analytic function

    Analytic function

    Analytic_function

  • Gaussian function
  • Mathematical function

    In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ⁡ ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}

    Gaussian function

    Gaussian_function

  • Lambert W function
  • Multivalued function in mathematics

    In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse

    Lambert W function

    Lambert W function

    Lambert_W_function

  • Rayleigh dissipation function
  • Function used in Lagrangian mechanics

    quadratic functions q ↦ R ( q ˙ ) = 1 2 q ˙ ⋅ V q ˙ {\displaystyle q\mapsto R({\dot {q}})={\frac {1}{2}}{\dot {q}}\cdot \mathbb {V} {\dot {q}}} to dissipation

    Rayleigh dissipation function

    Rayleigh_dissipation_function

  • Dedekind eta function
  • Mathematical function

    Im(τ) > 0, let q = e2πiτ; then the eta function is defined by, η ( τ ) = e π i τ 12 ∏ n = 1 ∞ ( 1 − e 2 n π i τ ) = q 1 24 ∏ n = 1 ∞ ( 1 − q n ) . {\displaystyle

    Dedekind eta function

    Dedekind_eta_function

  • Sign function
  • Function returning minus 1, zero or plus 1

    In mathematics, the sign function or signum function (from signum, Latin for "sign") is a function that has the value −1, +1 or 0 according to whether

    Sign function

    Sign function

    Sign_function

  • Riemann zeta function
  • Analytic function in mathematics

    Riemann zeta function, or Euler–Riemann zeta function, denoted by the lowercase Greek letter ⁠ ζ {\displaystyle \zeta } ⁠ (zeta), is a function of a complex

    Riemann zeta function

    Riemann zeta function

    Riemann_zeta_function

  • Truth table
  • Mathematical table used in logic

    that gives definitions of each of the 7 basic logic gate functions of two Boolean variables P and Q: For binary operators, a condensed form of truth table

    Truth table

    Truth_table

  • Generating function
  • Formal power series

    special functions and enumerate partition functions. In particular, we recall that the partition function p(n) is generated by the reciprocal infinite q-Pochhammer

    Generating function

    Generating_function

  • Modular lambda function
  • Symmetric holomorphic function

    The q-expansion, where q = e π i τ {\displaystyle q=e^{\pi i\tau }} is the nome, is given by λ ( τ ) = 16 q − 128 q 2 + 704 q 3 − 3072 q 4 + 11488 q 5 −

    Modular lambda function

    Modular lambda function

    Modular_lambda_function

  • Meijer G-function
  • Generalization of the hypergeometric function

    G-function is given by the following line integral in the complex plane (Bateman & Erdélyi 1953, § 5.3-1): G p , q m , n ( a 1 , … , a p b 1 , … , b q |

    Meijer G-function

    Meijer G-function

    Meijer_G-function

  • Q factor
  • Resonator damping parameter

    depending on their function and design. Systems for which damping is important (such as dampers keeping a door from slamming shut) have Q near 1⁄2. Clocks

    Q factor

    Q factor

    Q_factor

  • Q-exponential
  • Q-analog in combinatorial mathematics

    mathematics, a q-exponential is a q-analog of the exponential function, namely the eigenfunction of a q-derivative. There are many q-derivatives, for

    Q-exponential

    Q-exponential

  • Quartic function
  • Polynomial function of degree 4

    In algebra, a quartic function is a function of the form f ( x ) = a x 4 + b x 3 + c x 2 + d x + e , {\displaystyle f(x)=ax^{4}+bx^{3}+cx^{2}+dx+e,} where

    Quartic function

    Quartic function

    Quartic_function

  • Bessel function
  • Family of solutions to related differential equations

    functions. Anger function Bessel polynomials Bessel–Clifford function Bessel–Maitland function Fourier–Bessel series Hahn–Exton q-Bessel function Hankel transform

    Bessel function

    Bessel function

    Bessel_function

  • Incomplete gamma function
  • Types of special mathematical functions

    Gamma Function". MathWorld. P ( a , x ) {\displaystyle P(a,x)} — Regularized Lower Incomplete Gamma Function Calculator Q ( a , x ) {\displaystyle Q(a,x)}

    Incomplete gamma function

    Incomplete gamma function

    Incomplete_gamma_function

  • Bernoulli distribution
  • Probability distribution modeling a coin toss which need not be fair

    probability q {\displaystyle q} . Thus we get γ 1 = E ⁡ [ ( X − E ⁡ [ X ] Var ⁡ [ X ] ) 3 ] = p ⋅ ( q p q ) 3 + q ⋅ ( − p p q ) 3 = 1 p q 3 ( p q 3 − q p 3 )

    Bernoulli distribution

    Bernoulli distribution

    Bernoulli_distribution

  • Trapdoor function
  • One-way cryptographic tool

    totient function of n {\displaystyle n} ) is the trapdoor: f ( x ) = x e mod n . {\displaystyle f(x)=x^{e}\mod n.} If the factorization of n = p q {\displaystyle

    Trapdoor function

    Trapdoor function

    Trapdoor_function

  • Partition function (statistical mechanics)
  • Function in thermodynamics and statistical physics

    partition function is defined as Z = 1 h 3 ∫ e − β H ( q , p ) d 3 q d 3 p , {\displaystyle Z={\frac {1}{h^{3}}}\int e^{-\beta H(q,p)}\,d^{3}q\,d^{3}p,}

    Partition function (statistical mechanics)

    Partition function (statistical mechanics)

    Partition_function_(statistical_mechanics)

  • Binomial distribution
  • Probability distribution

    Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial

    Binomial distribution

    Binomial distribution

    Binomial_distribution

  • Charlier polynomials
  • Orthogonal polynomials

    a q-analog, the q-Charlier polynomials, which are given in terms of the basic hypergeometric function by C n ( q − x ; a ; q ) = 2 ϕ 1 ( q − n , q − x

    Charlier polynomials

    Charlier_polynomials

  • Convolution
  • Integral expressing the amount of overlap of one function as it is shifted over another

    mathematical operation on two functions f and g that produces a third function f∗g, as the integral of the product of the two functions after one is reflected

    Convolution

    Convolution

    Convolution

  • Mathieu function
  • Special function occurring in problems possessing elliptic symmetry

    mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation d 2 y d x 2 + ( a − 2 q cos ⁡ ( 2 x

    Mathieu function

    Mathieu_function

  • Wigner quasiprobability distribution
  • Wigner distribution function in physics as opposed to in signal processing

    Gaussian. Meanwhile, the Husimi Q function is the convolution of the Wigner function with a Gaussian. If the Wigner function of ψ {\displaystyle \psi } is

    Wigner quasiprobability distribution

    Wigner quasiprobability distribution

    Wigner_quasiprobability_distribution

  • Leontief production function
  • Function in economics

    production function. For the simple case of a good that is produced with two inputs, the function is of the form q = Min ( z 1 a , z 2 b ) {\displaystyle q

    Leontief production function

    Leontief production function

    Leontief_production_function

  • Global field
  • Mathematical concept

    Algebraic number field: A finite extension of Q {\displaystyle \mathbb {Q} } Global function field: The function field of an irreducible algebraic curve over

    Global field

    Global_field

  • Generalized hypergeometric function
  • Family of power series in mathematics

    generating function. This series is usually denoted by p F q ( a 1 , … , a p ; b 1 , … , b q ; z ) , or p F q [ a 1 a 2 ⋯ a p b 1 b 2 ⋯ b q ; z ] . {\displaystyle

    Generalized hypergeometric function

    Generalized hypergeometric function

    Generalized_hypergeometric_function

  • One-way function
  • Function used in computer cryptography

    [citation needed] The function f takes as inputs two prime numbers p and q in binary notation and returns their product. This function can be "easily" computed

    One-way function

    One-way_function

  • Q distribution
  • Topics referred to by the same term

    In mathematics and statistics, Q-distribution or q-distribution may refer to: Q-function, the tail distribution function of the standard normal distribution

    Q distribution

    Q_distribution

  • Arithmetic function
  • Function whose domain is the positive integers

    Ω(1) = ω(1) = 0.) τ(n), the Ramanujan tau function, is defined by its generating function identity: ∑n≥1τ(n)qn=q∏n≥1(1−qn)24. Although it is hard to say

    Arithmetic function

    Arithmetic_function

  • Legendre transformation
  • Mathematical transformation

    _{j}x_{j}y_{j}.} For every q fixed, L ( v , q ) {\displaystyle L(v,q)} is a convex function of v {\displaystyle v} , while V ( q ) {\displaystyle V(q)} plays the role

    Legendre transformation

    Legendre transformation

    Legendre_transformation

  • Exact differential
  • Type of infinitesimal in calculus

    differential d Q {\displaystyle dQ} for some differentiable function  Q {\displaystyle Q} in an orthogonal coordinate system (hence Q {\displaystyle Q} is a multivariable

    Exact differential

    Exact_differential

  • Multiple gamma function
  • Generalization of the Euler gamma function and the Barnes G-function

    related to the q-gamma function, and triple gamma functions Γ 3 {\displaystyle \Gamma _{3}} are related to the elliptic gamma function. For ℜ a i > 0

    Multiple gamma function

    Multiple gamma function

    Multiple_gamma_function

  • Modulo
  • Computational operation

    function, ⌊ ⌋ {\displaystyle \lfloor \,\rfloor } is the floor function (rounding down), and a | n | ∈ Q {\displaystyle {\frac {a}{|n|}}\in \mathbb {Q}

    Modulo

    Modulo

  • Partition function (number theory)
  • Number of partitions of an integer

    Leonhard Euler. The formulation of Euler's generating function is a special case of a q {\displaystyle q} -Pochhammer symbol and is similar to the product

    Partition function (number theory)

    Partition function (number theory)

    Partition_function_(number_theory)

  • Kolmogorov–Arnold representation theorem
  • Multivariate functions can be written using univariate functions and summing

    functions ϕ q , p {\displaystyle \phi _{q,p}} are continuous and universal, that is, independent of f {\displaystyle f} , while the outer functions Φ

    Kolmogorov–Arnold representation theorem

    Kolmogorov–Arnold_representation_theorem

  • Non-analytic smooth function
  • Mathematical functions which are smooth but not analytic

    In real analysis, a smooth function is infinitely differentiable at each point in its domain, while a real analytic function is, at each point in its domain

    Non-analytic smooth function

    Non-analytic_smooth_function

  • Quantum calculus
  • Branch of mathematics

    The q-Taylor expansion allows for the definition of q-analogs of all of the usual functions, such as the sine function, whose q-derivative is the q-analog

    Quantum calculus

    Quantum_calculus

  • Birthday problem
  • Probability of shared birthdays

    n = 1 + Q(M), where Q ( M ) = ∑ k = 1 M M ! ( M − k ) ! M k . {\displaystyle Q(M)=\sum _{k=1}^{M}{\frac {M!}{(M-k)!M^{k}}}.} The function Q ( M ) = 1

    Birthday problem

    Birthday problem

    Birthday_problem

  • Hypergeometric function
  • Function defined by a hypergeometric series

    (q)_{n}={\begin{cases}1&n=0\\q(q+1)\cdots (q+n-1)&n>0\end{cases}}} The series terminates if either a or b is a nonpositive integer, in which case the function reduces to

    Hypergeometric function

    Hypergeometric function

    Hypergeometric_function

  • Fox–Wright function
  • Generalisation of the generalised hypergeometric function pFq(z)

    the generalised hypergeometric function pFq(z) based on ideas of Charles Fox (1928) and E. Maitland Wright (1935): p Ψ q [ ( a 1 , A 1 ) ( a 2 , A 2 )

    Fox–Wright function

    Fox–Wright_function

  • Heun function
  • Function for Heun's differential equation

    In mathematics, the local Heun function H ℓ ( a , q ; α , β , γ , δ ; z ) {\displaystyle H\ell (a,q;\alpha ,\beta ,\gamma ,\delta ;z)} is the solution

    Heun function

    Heun_function

  • Nowhere continuous function
  • Function which is not continuous at any point of its domain

    numbers, also known as the Dirichlet function. This function is denoted as 1 Q {\displaystyle \mathbf {1} _{\mathbb {Q} }} and has domain and codomain both

    Nowhere continuous function

    Nowhere_continuous_function

  • Q-derivative
  • Q-analog of the ordinary derivative

    forms of q-derivative, see Chung et al. (1994). The q-derivative of a function f(x) is defined as ( d d x ) q f ( x ) = f ( q x ) − f ( x ) q x − x . {\displaystyle

    Q-derivative

    Q-derivative

  • Q Sharp
  • Programming language for quantum algorithms

    Computer programming portal Free and open-source software portal Q# (pronounced Q sharp) is a domain-specific programming language used for expressing

    Q Sharp

    Q_Sharp

  • Fox H-function
  • Generalization of the Meijer G-function and the Fox–Wright function

    Meijer G-function G p , q m , n ( a 1 , … , a p b 1 , … , b q | z ) = 1 2 π i ∫ L ∏ j = 1 m Γ ( b j − s ) ∏ j = 1 n Γ ( 1 − a j + s ) ∏ j = m + 1 q Γ ( 1

    Fox H-function

    Fox H-function

    Fox_H-function

  • Quantum harmonic oscillator
  • Quantum mechanical model

    polynomials are linked through the Wigner map. Meanwhile, the Husimi Q function of the harmonic oscillator eigenstates have an even simpler form. If we

    Quantum harmonic oscillator

    Quantum harmonic oscillator

    Quantum_harmonic_oscillator

  • Generalised logistic function
  • Mathematical function

    time. The logistic function, with maximum growth rate at time M {\displaystyle M} , is the case where Q = ν = 1 {\displaystyle Q=\nu =1} . A particular

    Generalised logistic function

    Generalised logistic function

    Generalised_logistic_function

  • Logistic function
  • S-shaped curve

    A logistic function or logistic curve is a common S-shaped curve (sigmoid curve) with the equation f ( x ) = L 1 + e − k ( x − x 0 ) {\displaystyle f(x)={\frac

    Logistic function

    Logistic function

    Logistic_function

  • Local zeta function
  • Function associated with an algebraic variety

    mathematics, the local zeta function Z(V, s) (sometimes called the congruent zeta function or the Hasse–Weil zeta function) is defined as Z ( V , s ) =

    Local zeta function

    Local_zeta_function

  • Complex analysis
  • Branch of mathematics studying functions of a complex variable

    functions p / q {\displaystyle p/q} , where p and q are polynomials, are holomorphic on domains that exclude points where q is zero. Such functions that

    Complex analysis

    Complex analysis

    Complex_analysis

  • Hurwitz zeta function
  • Special function in mathematics

    zeta function generalizes the Hurwitz zeta function. The Lerch transcendent generalizes the Hurwitz zeta: Φ ( z , s , q ) = ∑ k = 0 ∞ z k ( k + q ) s {\displaystyle

    Hurwitz zeta function

    Hurwitz zeta function

    Hurwitz_zeta_function

  • Dirichlet L-function
  • Type of mathematical function

    special case, the L-function of the principal character χ0 modulo q can be expressed in terms of the Riemann zeta function: L(s,χ0)=ζ(s)∏p|q(1−p−s). Dirichlet

    Dirichlet L-function

    Dirichlet_L-function

  • Algebraic function
  • Mathematical function

    y-p(x)=0.} A rational function y = p ( x ) / q ( x ) {\displaystyle y=p(x)/q(x)} satisfies q ( x ) y − p ( x ) = 0 , {\displaystyle q(x)y-p(x)=0,} with poles

    Algebraic function

    Algebraic_function

  • In-phase and quadrature components
  • Mathematical technique for manipulating signals

    amplitude modulation rely heavily on I/Q. The term alternating current applies to a voltage vs. time function that is sinusoidal with a frequency f. When

    In-phase and quadrature components

    In-phase and quadrature components

    In-phase_and_quadrature_components

  • Production function
  • Used to define marginal product and to distinguish allocative efficiency

    A production function can be expressed in a functional form as the right side of Q = f ( X 1 , X 2 , X 3 , … , X n ) {\displaystyle Q=f(X_{1},X_{2},X_{3}

    Production function

    Production function

    Production_function

  • Cross-entropy
  • Information-theoretic measure

    functions of p and q with respect to r. Then −∫𝒳P(x)log⁡Q(x)dx=Ep[−log⁡Q], and therefore H(p,q)=−∫𝒳P(x)log⁡Q(x)dx.   (Eq. 2) NB: The notation H(p,q)

    Cross-entropy

    Cross-entropy

  • Probit
  • Statistical function that converts a probability to a standard normal score

    by a pesticide changes with its concentration. The probit function is also used to create Q–Q plots, a graphical tool for assessing whether a dataset is

    Probit

    Probit

    Probit

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  • Fuller
  • Surname or Lastname

    English

    Fuller

    English : occupational name for a dresser of cloth, Old English fullere (from Latin fullo, with the addition of the English agent suffix). The Middle English successor of this word had also been reinforced by Old French fouleor, foleur, of similar origin. The work of the fuller was to scour and thicken the raw cloth by beating and trampling it in water. This surname is found mostly in southeast England and East Anglia. See also Tucker and Walker.In a few cases the name may be of German origin with the same form and meaning as 1 (from Latin fullare).Americanized version of French Fournier.Samuel Fuller (1589–1633), born in Redenhall, Norfolk, England, was among the Pilgrim Fathers who sailed on the Mayflower in 1620. He was a deacon of the church and until his death functioned as Plymouth Colony’s physician.

    Fuller

  • Gates
  • Surname or Lastname

    English

    Gates

    English : topographic name for someone who lived by the gates of a medieval walled town. The Middle English singular gate is from the Old English plural, gatu, of geat ‘gate’ (see Yates). Since medieval gates were normally arranged in pairs, fastened in the center, the Old English plural came to function as a singular, and a new Middle English plural ending in -s was formed. In some cases the name may refer specifically to the Sussex place Eastergate (i.e. ‘eastern gate’), known also as Gates in the 13th and 14th centuries, when surnames were being acquired.Americanized spelling of German Götz (see Goetz).Translated form of French Barrière (see Barriere).In New England, Gates was the preferred English version of the name of an extensive French family, called Barrière dit Langevin.

    Gates

  • Ar-RazzÂq
  • Boy/Male

    Indian

    Ar-RazzÂq

    The provider

    Ar-RazzÂq

  • KAFH-EN-MA-NOFRE
  • Male

    Egyptian

    KAFH-EN-MA-NOFRE

    , a high Egyptian functionary.

    KAFH-EN-MA-NOFRE

  • ANKHSNEF
  • Male

    Egyptian

    ANKHSNEF

    , an Egyptian functionary.

    ANKHSNEF

  • AMENHERATF
  • Male

    Egyptian

    AMENHERATF

    , the son of the functionary Heknofre.

    AMENHERATF

  • VIRIDOMARUS
  • Male

    Celtic

    VIRIDOMARUS

    , great justiciary, or functionary.

    VIRIDOMARUS

  • ANIEI
  • Male

    Egyptian

    ANIEI

    , an Egyptian functionary.

    ANIEI

  • Jenner
  • Surname or Lastname

    English (chiefly Kent and Sussex)

    Jenner

    English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.

    Jenner

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  • Biblical

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  • Catt
  • Surname or Lastname

    English

    Catt

    English : nickname from the animal, Middle English catte ‘cat’. The word is found in similar forms in most European languages from very early times (e.g. Gaelic cath, Slavic kotu). Domestic cats were unknown in Europe in classical times, when weasels fulfilled many of their functions, for example in hunting rodents. They seem to have come from Egypt, where they were regarded as sacred animals.English : from a medieval female personal name, a short form of Catherine.Variant spelling of German and Dutch Katt.

    Catt

  • KHEN-TA
  • Male

    Egyptian

    KHEN-TA

    , Functionary of the Interior.

    KHEN-TA

  • Heck
  • Surname or Lastname

    English

    Heck

    English : topographic name for someone who lived by a gate or ‘hatch’ (especially one leading into a forest), northern Middle English heck (Old English hæcc), or a habitational name from Great Heck in North Yorkshire, which is named with this word. Compare Hatch.German : topographic name from Middle High German hecke, hegge ‘hedge’. This name is common in southern Germany and the Rhineland.Possibly an Americanized spelling of French Hec(q), a topographic name from Old French hec ‘gate’, ‘barrier’, ‘fence’ (compare 1), or a habitational name from a place named with this word.Shortened form of the Dutch surname van (den) Hecke, a habitational name from any of several places called ten Hekke in the Belgian provinces of East and West Flanders.

    Heck

  • Ar-RazzÂq |
  • Boy/Male

    Muslim

    Ar-RazzÂq |

    The provider

    Ar-RazzÂq |

  • Genki
  • Boy/Male

    Buddhist, Indian, Japanese

    Genki

    Mysterious Function

    Genki

  • ASESKAFANKH
  • Male

    Egyptian

    ASESKAFANKH

    , a great functionary.

    ASESKAFANKH

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