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Mathematical function
In mathematics, the nu function is a generalization of the reciprocal gamma function of the Laplace transform. Formally, it can be defined as ν ( x ) ≡
Nu_function
Family of solutions to related differential equations
Bessel functions in the form ∑ ν = − ∞ ∞ J N ν + p ( x ) {\textstyle \sum _{\nu =-\infty }^{\infty }J_{N\nu +p}(x)} where ν , p ∈ Z , N ∈ Z + \nu ,p\in
Bessel_function
Asymmetric sigmoid function
the generalized logistic function when X ( t ) = ( ν ν + 1 ) ν K {\displaystyle X(t)=\left({\frac {\nu }{\nu +1}}\right)^{\nu }K} and one in the graph
Gompertz_function
Probability distribution
\nu }}\,\Gamma {\left({\frac {\nu }{2}}\right)}}}&={\frac {(\nu -1)!!}{k{\sqrt {\nu }}(\nu -2)!!}}\\\end{aligned}}} The probability density function is
Student's_t-distribution
Mathematical functions
doi:10.1007/BF02547966. See eq. (9) For more on the ν {\displaystyle \nu } function, see Lemniscate constant. Hurwitz, Adolf (1963). Mathematische Werke:
Lemniscate_elliptic_functions
Ratio of the perimeter of Bernoulli's lemniscate to its diameter
The ν {\displaystyle \nu } function is closely related to the ξ {\displaystyle \xi } function which is the multiplicative function defined by ξ ( p n )
Lemniscate_constant
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
Mathematical function
(C+Qe^{-B(t-M)})^{1/\nu }}} this representation simplifies the setting of both a starting time and the value of Y {\displaystyle Y} at that time. The logistic function, with
Generalised_logistic_function
Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise
delta (named after Leopold Kronecker) is a function of two variables, usually non-negative integers. The function is 1 if the variables are equal, and 0 otherwise:
Kronecker_delta
Distance function defined between probability distributions
{\displaystyle \nu } are probability distributions containing a total mass of 1. Assume also that there is given some cost function c ( x , y ) ≥ 0 {\displaystyle
Wasserstein_metric
Thirteenth letter in the Greek alphabet
Nu (/ˈnjuː/ ; uppercase Ν, lowercase ν; Greek: vυ ny, [ni]) is the thirteenth letter of the Greek alphabet, representing the voiced alveolar nasal [n]
Nu_(Greek)
{(q^{\nu +1};q)_{\infty }}{(q;q)_{\infty }}}x^{\nu }{}_{1}\phi _{1}(0;q^{\nu +1};q,qx^{2}).} ϕ {\displaystyle \phi } is the basic hypergeometric function.
Hahn–Exton_q-Bessel_function
Expressing a measure as an integral of another
{\displaystyle d\nu /d\mu } and is called the Radon–Nikodym derivative. The choice of notation and the name of the function reflects the fact that the function is analogous
Radon–Nikodym_theorem
\nu )\mathbf {J} _{\nu }(z)&=\cos(\pi \nu )\mathbf {E} _{\nu }(z)-\mathbf {E} _{-\nu }(z),\\-\sin(\pi \nu )\mathbf {E} _{\nu }(z)&=\cos(\pi \nu )\mathbf
Anger_function
Mathematical Function
{\displaystyle \chi _{\nu }(z)={\frac {1}{2}}\left[\operatorname {Li} _{\nu }(z)-\operatorname {Li} _{\nu }(-z)\right].} The Legendre chi function appears as the
Legendre_chi_function
\displaystyle k_{\nu }(x)={\frac {2}{\pi }}\int _{0}^{\pi /2}\cos(x\tan \theta -\nu \theta )\,d\theta .} Bateman discovered this function, when Theodore
Bateman_function
Tool in multivariate statistical analysis
is the gamma function, K ν {\displaystyle K_{\nu }} is the modified Bessel function of the second kind, and ρ and ν {\displaystyle \nu } are positive
Matérn_covariance_function
Relation between peak wavelengths of black body radiation and temperature
law as a function of frequency ν {\displaystyle \nu } : u ν ( ν , T ) = 2 h ν 3 c 2 1 e h ν / k T − 1 . {\displaystyle u_{\nu }(\nu ,T)={2h\nu ^{3} \over
Wien's_displacement_law
Characteristic of an optical system
ν ⋅ x ) {\displaystyle 1+\cos(2\pi \nu \cdot x)} , as a function of the spatial frequency, ν {\displaystyle \nu } , while its complex argument indicates
Optical_transfer_function
) {\displaystyle -ix^{-1/2}J_{\nu +1}^{(2)}(ix^{1/2};q)/J_{\nu }^{(2)}(ix^{1/2};q)} is a completely monotonic function (Ismail (1982)). The first and
Jackson_q-Bessel_function
Form of continuity for functions
with respect to ν , {\displaystyle \nu ,} which means that there exists a ν {\displaystyle \nu } -measurable function f {\displaystyle f} taking values
Absolute_continuity
{d^{2}y}{dz^{2}}}+z{\frac {dy}{dz}}+(z^{2}-\nu ^{2})y=z^{\mu +1}.} Solutions are given by the Lommel functions sμ,ν(z) and Sμ,ν(z), introduced by Eugen von
Lommel_function
Buchholz's psi-functions are a hierarchy of single-argument ordinal functions ψ ν ( α ) {\displaystyle \psi _{\nu }(\alpha )} introduced by German mathematician
Buchholz_psi_functions
Multivalued function in mathematics
_{-\pi }^{\pi }{\frac {\left(1-\nu \cot \nu \right)^{2}+\nu ^{2}}{z+\nu \csc \left(\nu \right)e^{-\nu \cot \nu }}}\,d\nu \\[5pt]&={\frac {z}{\pi }}\int
Lambert_W_function
Probability distribution
function of the inverse chi-squared distribution is given by f ( x ; ν ) = 2 − ν / 2 Γ ( ν / 2 ) x − ν / 2 − 1 e − 1 / ( 2 x ) {\displaystyle f(x;\nu
Inverse-chi-squared distribution
Inverse-chi-squared_distribution
Spectral density of light emitted by a black body
) {\displaystyle B_{\nu }(\nu ,T)} by the substitution λ = c / ν {\displaystyle \lambda =c/\nu } . These are different functions because the spectral
Planck's_law
Concept in mathematics
}(z)=e^{-{\frac {1}{4}}z^{2}}z^{\nu }\left(1-{\frac {\nu (\nu -1)}{2}}{\frac {1}{z^{2}}}+{\frac {\nu (\nu -1)(\nu -2)(\nu -3)}{8}}{\frac {1}{z^{4}}}-\dots
Parabolic_cylinder_function
Mathematical function
^{2}(x)+\pi ^{2}}}\,dx} Bessel–Clifford function Inverse-gamma distribution Nu function Weisstein, Eric W. "Gamma function". mathworld.wolfram.com. Retrieved
Reciprocal_gamma_function
Concept in statistics
}{\mathcal {W}}(x\mid \mu ,\nu )e^{itx},dx.} For every fixed ( μ , ν ) {\displaystyle (\mu ,\nu )} , this is the characteristic function of the measured random
Kernel_density_estimation
{\sqrt {M^{2}-1}}\end{aligned}}} where ν {\displaystyle \nu \,} is the Prandtl–Meyer function, M {\displaystyle M} is the Mach number of the flow and γ
Prandtl–Meyer_function
Probability distribution
{\Psi } ^{-1},\nu )} . Important identities have been derived for the inverse-Wishart distribution. The probability density function of the inverse Wishart
Inverse-Wishart_distribution
Probability distribution
_{0}^{2}}{2\sigma ^{2}}}\right]}{(\sigma ^{2})^{1+{\frac {\nu _{0}}{2}}}}}} The likelihood function from above, written in terms of the variance, is: p ( X
Normal_distribution
Optical device with parallel mirrors
{\displaystyle \tau _{c}(\nu )} and linewidth Δ ν c ( ν ) {\displaystyle \Delta \nu _{c}(\nu )} now become local functions of frequency. Whereas the photon
Fabry–Pérot_interferometer
Type of polynomial used in Numerical Analysis
n {\displaystyle b_{\nu ,n}(1)=\delta _{\nu ,n}} where δ i , j {\displaystyle \delta _{i,j}} is the Kronecker delta function: δ i j = { 0 if i ≠ j
Bernstein_polynomial
Brazilian financial technology company
Nubank, doing business outside of Brazil as Nu, is a Brazilian neobank headquartered in São Paulo, Brazil. Although it is not formally part of Brazil’s
Nubank
Type of mathematical functions
^{n};\left|\zeta _{\nu }-z_{\nu }\right|\leq r_{\nu }{\text{ for all }}\nu =1,\dots ,n\right\}} and let { z ν } ν = 1 n {\displaystyle \{z_{\nu }\}_{\nu =1}^{n}}
Function of several complex variables
Function_of_several_complex_variables
Multivariate continuous probability distribution
};{\mathbf {\Psi } },\nu ,\delta )={\frac {\Gamma _{p}\left({\frac {\nu +\delta +p-1}{2}}\right)}{\Gamma _{p}\left({\frac {\nu }{2}}\right)\Gamma _{p}\left({\frac
Matrix_F-distribution
Probability distribution
probability density function is f ( x ∣ ν , σ ) = x σ 2 exp ( − ( x 2 + ν 2 ) 2 σ 2 ) I 0 ( x ν σ 2 ) H ( x ) , {\displaystyle f(x\mid \nu ,\sigma )={\frac
Rice_distribution
Probability distribution
g(\alpha )={\frac {\nu _{U}(\alpha )-\nu (\alpha )}{\nu _{U}(\alpha )-\nu _{L\infty }(\alpha )}}} For the simplest interpolating function considered, a first-order
Gamma_distribution
Study of optimal transportation and allocation of resources
be a Borel-measurable function. Given probability measures μ {\displaystyle \mu } on X {\displaystyle X} and ν {\displaystyle \nu } on Y {\displaystyle
Transportation theory (mathematics)
Transportation_theory_(mathematics)
2 ν − ν + ε ) , ν = 1 , … , k . {\displaystyle (2^{\nu },2^{\nu }-\nu +\varepsilon ),\quad \nu =1,\ldots ,k.} Hua Loo-keng (1938). "On Waring's problem"
Hua's_lemma
Approximation of a black body's spectral radiance
) {\displaystyle I(\nu ,T)=\pi B_{\nu }(T)} for emitted power integrated over all solid angles. In this form, the Planck function and associated Rayleigh–Jeans
Rayleigh–Jeans_law
the Kelvin functions berν(x) and beiν(x) are the real and imaginary parts, respectively, of J ν ( x e 3 π i 4 ) , {\displaystyle J_{\nu }\left(xe^{\frac
Kelvin_functions
Probability distribution
=Q\left({\frac {\nu }{2}},{\frac {\tau ^{2}\nu }{2x}}\right)} where Γ ( a , x ) {\displaystyle \Gamma (a,x)} is the incomplete gamma function, Γ ( x ) {\displaystyle
Scaled inverse chi-squared distribution
Scaled_inverse_chi-squared_distribution
Generalization of the indicator function for classical sets in fuzzy logic
as a function, ν {\displaystyle \nu } from S, the set of subsets of some set, into [ 0 , 1 ] {\displaystyle [0,1]} , such that ν {\displaystyle \nu } is
Membership function (mathematics)
Membership_function_(mathematics)
Mathematical rule
\mu ,\nu } , of which λ {\displaystyle \lambda } and μ {\displaystyle \mu } describe the Schur functions being multiplied, and ν {\displaystyle \nu } gives
Littlewood–Richardson_rule
Sequence of differential equation solutions
{\displaystyle J_{\alpha }} is a Bessel function of the first kind. See also:. Let ν = 4 n + 2 α + 2 {\displaystyle \nu =4n+2\alpha +2} . Let Ai {\displaystyle
Laguerre_polynomials
=2\pi c{\tilde {\nu }}} where c is the speed of light in vacuum. In terms of the vibrational wavenumbers we can write the partition function as Q vib ( T
Vibrational partition function
Vibrational_partition_function
Theorem in optimal transport
measure is the gradient of a convex function. More precisely, if μ {\displaystyle \mu } and ν {\displaystyle \nu } are probability measures on R n {\displaystyle
Brenier's_theorem
Probability distribution
mass function P ( X = x ) = f ( x ; λ , ν ) = λ x ( x ! ) ν 1 Z ( λ , ν ) . {\displaystyle P(X=x)=f(x;\lambda ,\nu )={\frac {\lambda ^{x}}{(x!)^{\nu }}}{\frac
Conway–Maxwell–Poisson distribution
Conway–Maxwell–Poisson_distribution
G_{\nu }(\omega )=e^{j(\nu -2)[{\frac {\omega -\pi }{2}}]}.{\frac {ce_{\nu }({\frac {\omega -\pi }{2}},q)}{ce_{\nu }(0,q)}}.} The transfer function of
Mathieu_wavelet
f_{\text{R}}(q;k,\nu )={\frac {{\sqrt {2\pi \,}}\,k\,(k-1)\,\nu ^{\nu /2}}{\Gamma (\nu /2)\,2^{\left(\nu /2-1\right)}}}\int _{0}^{\infty }s^{\nu }\,\varphi ({\sqrt
Studentized range distribution
Studentized_range_distribution
Partial order between random variables
distribution functions of two distinct investments ρ {\displaystyle \rho } and ν {\displaystyle \nu } . ρ {\displaystyle \rho } dominates ν {\displaystyle \nu }
Stochastic_dominance
Extension of the factorial function
Jerome (2010). "Chapter 43 - The Gamma Function Γ ( ν ) {\displaystyle \Gamma (\nu )} ". An Atlas of Functions (2 ed.). New York, NY: Springer Science
Gamma_function
Partial differential equation
t}}-\nu {\frac {\partial ^{2}\varphi }{\partial x^{2}}}=\varphi {\frac {df(t)}{dt}},} where d f / d t {\displaystyle df/dt} is an arbitrary function of
Burgers'_equation
Function in quantum field theory showing probability amplitudes of moving particles
}p^{\mu }\gamma _{\nu }p^{\nu }+\gamma _{\nu }p^{\nu }\gamma _{\mu }p^{\mu })\\[6pt]&={\tfrac {1}{2}}(\gamma _{\mu }\gamma _{\nu }+\gamma _{\nu }\gamma _{\mu
Propagator
Quantum field theory
{\displaystyle \ F_{\mu \nu }^{a}=\partial _{\mu }A_{\nu }^{a}-\partial _{\nu }A_{\mu }^{a}+g\ f^{abc}\ A_{\mu }^{b}\ A_{\nu }^{c}\ } can be derived by
Yang–Mills_theory
Statement in complex analysis; formerly the Bieberbach conjecture
| 2 {\displaystyle \sum _{n=1}^{\infty }(\nu +n)\sigma _{n}|a_{n}|^{2}} is achieved by the Koebe function z / ( 1 − z ) 2 {\displaystyle z/(1-z)^{2}}
De_Branges's_theorem
Special function occurring in problems possessing elliptic symmetry
In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation d 2 y d x 2 + ( a − 2
Mathieu_function
Imaging Instrument
}c_{\nu }(t)\psi _{\nu }^{\text{T}}(t)} with the initial condition c ν ( 0 ) = 0 {\displaystyle c_{\nu }(0)=0} . When the new wave function is inserted into
Scanning_tunneling_microscope
Mathematical theorem
{(-1)^{k}}{\Gamma (k+\nu +1)k!}}{\bigg (}{\frac {z}{2}}{\bigg )}^{2k+\nu }} By Ramanujan's master theorem, together with some identities for the gamma function and rearranging
Ramanujan's_master_theorem
Equation in Fourier analysis
}s(\lambda )={\frac {1}{m(V/\Lambda )}}\sum _{\nu \in \Lambda '}S(\nu )} This is applied in the theory of theta functions and is a possible method in geometry of
Poisson_summation_formula
Law of wavelength-specific emission and absorption
{\displaystyle S_{\nu }=k_{B}\left[\left(1+{\frac {E}{h\nu }}\right)\ln \left(1+{\frac {E}{h\nu }}\right)-{\frac {E}{h\nu }}\ln {\frac {E}{h\nu }}\right]} for
Kirchhoff's law of thermal radiation
Kirchhoff's_law_of_thermal_radiation
Polynomial sequence
{\begin{aligned}C_{\nu }(x)&=-C_{\nu }(1-x)\\S_{\nu }(x)&=S_{\nu }(1-x).\end{aligned}}} They are related to the Legendre chi function χ ν {\displaystyle \chi _{\nu }}
Bernoulli_polynomials
Measure of local oscillation behavior
\nu )={\frac {1}{2}}\sum _{x}\left|\mu (x)-\nu (x)\right|} The total variation of a C 1 ( Ω ¯ ) {\displaystyle C^{1}({\overline {\Omega }})} function f
Total_variation
Principle in mathematical optimization
_{i=1}^{m}\lambda _{i}f_{i}(x)+\sum _{i=1}^{p}\nu _{i}h_{i}(x)\right\}.} The dual function g {\displaystyle g} is concave, even when the initial
Duality_(optimization)
Method of solution to differential equations
Heaviside step function, J ν ( z ) {\textstyle J_{\nu }(z)} is a Bessel function, I ν ( z ) {\textstyle I_{\nu }(z)} is a modified Bessel function of the first
Green's_function
Family of continuous probability distributions
on ( 0 , ∞ ) {\displaystyle (0,\infty )} . Its probability density function is given by f ( x ; μ , λ ) = λ 2 π x 3 exp ( − λ ( x − μ ) 2 2 μ 2 x
Inverse_Gaussian_distribution
Quantum field theory of electromagnetism
_{\nu }\left({\frac {\partial {\mathcal {L}}}{\partial (\partial _{\nu }A_{\mu })}}\right)=\partial _{\nu }\left(\partial ^{\mu }A^{\nu }-\partial ^{\nu
Quantum_electrodynamics
Quantum field theory enjoying conformal symmetry
{\displaystyle T_{\mu \nu }\xi ^{\nu }} where ξ ν {\displaystyle \xi ^{\nu }} is a Killing vector and T μ ν {\displaystyle T_{\mu \nu }} is a conserved operator
Conformal_field_theory
Theory of behavioral economics
{\displaystyle \nu (y)+\nu (-y)>\nu (x)+\nu (-x)} and ν ( − y ) + ν ( − x ) > ν ( x ) + ν ( − x ) {\displaystyle \nu (-y)+\nu (-x)>\nu (x)+\nu (-x)} . The
Prospect_theory
Release of a photon triggered by another
ν = ν 0 {\displaystyle \nu =\nu _{0}} . A line shape function can be normalized so that its value at ν 0 {\displaystyle \nu _{0}} is unity; in the case
Stimulated_emission
Mathematical operation
{\displaystyle \nu } of a function f(r) is given by F ν ( k ) = ∫ 0 ∞ f ( r ) J ν ( k r ) r d r , {\displaystyle F_{\nu }(k)=\int _{0}^{\infty }f(r)J_{\nu }(kr)\
Hankel_transform
Local theory of several complex variables
T_{n}(k)=\left\{\sum _{\nu _{1},\dots ,\nu _{n}\geq 0}a_{\nu _{1},\dots ,\nu _{n}}X_{1}^{\nu _{1}}\cdots X_{n}^{\nu _{n}},|a_{\nu _{1},\dots ,\nu _{n}}|\to 0{\text{
Weierstrass preparation theorem
Weierstrass_preparation_theorem
Type of weapon invented in China
pinyin: Lián Nǔ), also known as the repeater crossbow, and the Zhuge crossbow (Chinese: 諸葛弩; pinyin: Zhūgě nǔ, also romanized Chu-ko-nu) due to its association
Repeating_crossbow
Electronic musician
The Collapse of the Wave Function EPs take a more experimental direction. Albums Sound of the Street (1996) Ffressshh! (1997) Nu Romantix (1998) We are
DMX_Krew
Mathematical function with no sudden changes
In mathematics, a continuous function is a function such that a small variation of its argument induces at most a small variation of its value. This implies
Continuous_function
Concept in mathematics
{\displaystyle \displaystyle J_{m+\nu }(z)=J_{\nu }(z)R_{m,\nu }(z)-J_{\nu -1}(z)R_{m-1,\nu +1}(z)} where Jν(z) is a Bessel function of the first kind. They are
Lommel_polynomial
Concept in statistics
the multivariate gamma function. If X ∼ T n × p ( ν , M , Σ , Ω ) {\displaystyle \mathbf {X} \sim {\mathcal {T}}_{n\times p}(\nu ,\mathbf {M} ,\mathbf
Matrix_t-distribution
Type of wavelet
{\displaystyle \nu } . The low-pass filter transfer function is given by H ν ( ω ) = − e − j ν ω − π 2 P ν ( cos ( ω 2 ) ) {\displaystyle H_{\nu }(\omega )=-e^{-j\nu
Legendre_wavelet
Inverse of a finite difference
{\displaystyle \sum _{\nu =x}^{y}(\lambda f(\nu )+\mu g(\nu ))=\lambda \sum _{\nu =x}^{y}f(\nu )+\mu \sum _{\nu =x}^{y}g(\nu )} . Empty Sum Condition:
Indefinite_sum
Two-dimensional laminar boundary layer that forms on a semi-infinite plate
{\partial u}{\partial y}}=-{\dfrac {1}{\rho }}{\dfrac {\partial p}{\partial x}}+{\nu }{\dfrac {\partial ^{2}u}{\partial y^{2}}}} y {\displaystyle y} -Momentum:
Blasius_boundary_layer
Effective particle coupling beyond tree level
^{\mu \nu }q_{\nu }}{2m}}F_{2}(q^{2})} where σ μ ν = ( i / 2 ) [ γ μ , γ ν ] {\displaystyle \sigma ^{\mu \nu }=(i/2)[\gamma ^{\mu },\gamma ^{\nu }]} ,
Vertex_function
Pictorial representation of the behavior of subatomic particles
{1}{4}}F^{\mu \nu }F_{\mu \nu }=\int -{\tfrac {1}{2}}\left(\partial ^{\mu }A_{\nu }\partial _{\mu }A^{\nu }-\partial ^{\mu }A_{\mu }\partial _{\nu }A^{\nu }\right)\
Feynman_diagram
Special functions of several complex variables
mathematics, theta functions are special functions of several complex variables. Fundamentally, they are a family of continuous functions which encode the
Theta_function
Generalization of the hypergeometric function
{i}{\pi }}ye^{-\nu \pi i}\left[e^{\pi y}A(\nu +iy,\nu -iy\,|\,ze^{i\pi })-e^{-\pi y}A(\nu -iy,\nu +iy\,|\,ze^{i\pi })\right],} where the function A(·) is defined
Meijer_G-function
and the ν {\displaystyle \nu } degree are real, and assume x ∈ ( − 1 , + 1 ) {\displaystyle x\in (-1,+1)} . Ferrers function of the first kind P v μ (
Ferrers_function
Classical physics prediction that black body radiation grows unbounded with frequency
frequency ν {\displaystyle \nu } , the expression is instead B ν ( T ) = 2 ν 2 k B T c 2 . {\displaystyle B_{\nu }(T)={\frac {2\nu ^{2}k_{\mathrm {B} }T}{c^{2}}}
Ultraviolet_catastrophe
surely cdf cumulative distribution function cmf cumulative mass function df degrees of freedom (also ν {\displaystyle \nu } ) i.i.d. independent and identically
Notation in probability and statistics
Notation_in_probability_and_statistics
Probability distribution
{\frac {\nu }{2}}\right)\right],} I y ( a , b ) {\displaystyle I_{y}\,\!(a,b)} is the regularized incomplete beta function, y = x 2 x 2 + ν
Noncentral_t-distribution
Second-order differential operator
{\begin{aligned}\Box &=\partial ^{\mu }\partial _{\mu }=\eta ^{\mu \nu }\partial _{\nu }\partial _{\mu }={\frac {1}{c^{2}}}{\frac {\partial ^{2}}{\partial
D'Alembert_operator
this type incomplete-version of Bessel function or this type generalized-version of incomplete gamma function: K v ( x , y ) = ∫ 1 ∞ e − x t − y t t v
Incomplete Bessel K function/generalized incomplete gamma function
Incomplete_Bessel_K_function/generalized_incomplete_gamma_function
Subadditive or superadditive integral
{\displaystyle (C)\int \,fd\nu +(C)\int g\,d\nu \leq (C)\int (f+g)\,d\nu .} Let G {\displaystyle G} denote a cumulative distribution function such that G − 1 {\displaystyle
Choquet_integral
Class of inequalities
|}f(x){\big |}^{2}\log {\big |}f(x){\big |}\,d\nu (x)\leq \int _{\mathbb {R} ^{n}}{\big |}\nabla f(x){\big |}^{2}\,d\nu (x)+\|f\|_{2}^{2}\log \|f\|_{2},} where
Logarithmic Sobolev inequalities
Logarithmic_Sobolev_inequalities
Seventh letter in the Greek alphabet
Greek dialects to represent the voiceless glottal fricative, [h]. In this function, it was borrowed in the 8th century BC by the Etruscan and other Old Italic
Eta
Measure of divisibility by a prime number
{\displaystyle m} . In particular, ν p {\displaystyle \nu _{p}} is a function ν p : Z → N 0 ∪ { ∞ } {\displaystyle \nu _{p}\colon \mathbb {Z} \to \mathbb {N} _{0}\cup
P-adic_valuation
Statistical test of whether two populations have equal means
{s_{2}^{4}}{N_{2}^{2}\nu _{2}}}}}={\frac {s_{\Delta {\bar {X}}}^{4}}{{\frac {s_{{\bar {X}}_{1}}^{4}}{\nu _{1}}}+{\frac {s_{{\bar {X}}_{2}}^{4}}{\nu _{2}}}}},} where
Welch's_t-test
In Euclidean space, a measure of that set's "size"
_{n}}}\int _{S'}{\frac {\partial u}{\partial \nu }}\,\mathrm {d} \sigma ',} where: u is the unique harmonic function defined on the region D between Σ and S
Capacity_of_a_set
Generalization of the Jack polynomial
In mathematics, the Jack function is a generalization of the Jack polynomial, introduced by Henry Jack. The Jack polynomial is a homogeneous, symmetric
Jack_function
Continuous probability distribution
{|\alpha |\beta ^{\nu }}{\Gamma \left(\nu \right)}}x^{\alpha \nu -1}\exp _{\kappa }(-\beta x^{\alpha })} . The cumulative distribution function of κ-Gamma distribution
Kaniadakis_Gamma_distribution
NU FUNCTION
NU FUNCTION
Male
Egyptian
, a great functionary.
Male
Egyptian
, the son of captain Mentun-sasu.
Surname or Lastname
English (chiefly Kent and Sussex)
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.
Surname or Lastname
English
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.
Male
Egyptian
, an Egyptian functionary.
Boy/Male
Buddhist, Indian, Japanese
Mysterious Function
Boy/Male
Hindu, Indian
Lord Shiva; Divine; Positive; God Creative
Female
Egyptian
, child of Nu.
Surname or Lastname
English
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.
Biblical
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Male
Egyptian
, an Egyptian functionary.
Male
Celtic
, great justiciary, or functionary.
Girl/Female
Hindu, Indian, Tamil, Telugu, Vietnamese
Water; Love
Surname or Lastname
English
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.
Male
Egyptian
, a high Egyptian functionary.
Male
Egyptian
, Functionary of the Interior.
Male
Egyptian
, the son of the functionary Heknofre.
NU FUNCTION
NU FUNCTION
Boy/Male
Hindu, Indian
Sight; Love
Girl/Female
Muslim
First, Winner, Fem of Sabiq
Boy/Male
Muslim
Boy/Male
Greek Hungarian
Revered.
Boy/Male
Hindu
Abode of God
Girl/Female
Gujarati, Hindu, Indian, Kannada, Tamil
Satisfaction
Boy/Male
Arabic
Leader of an Army
Girl/Female
Indian
Fame; Proud
Boy/Male
Indian, Tamil
Owner of Gold
Boy/Male
Hindu, Indian
Victory; Quick as the Wind
NU FUNCTION
NU FUNCTION
NU FUNCTION
NU FUNCTION
NU FUNCTION
v. i.
To execute or perform a function; to transact one's regular or appointed business.
n.
A quantity so connected with another quantity, that if any alteration be made in the latter there will be a consequent alteration in the former. Each quantity is said to be a function of the other. Thus, the circumference of a circle is a function of the diameter. If x be a symbol to which different numerical values can be assigned, such expressions as x2, 3x, Log. x, and Sin. x, are all functions of x.
a.
Belonging or relating to life, either animal or vegetable; as, vital energies; vital functions; vital actions.
a.
Of or pertaining to the vessels of animal and vegetable bodies; as, the vascular functions.
n.
Fig.: Any cavity, or hollow place, in which any function may be conceived of as operating.
n.
One deputed or authorized to perform the functions of another; a substitute in office; a deputy.
n.
One charged with the performance of a function or office; as, a public functionary; secular functionaries.
n.
The appropriate action of any special organ or part of an animal or vegetable organism; as, the function of the heart or the limbs; the function of leaves, sap, roots, etc.; life is the sum of the functions of the various organs and parts of the body.
a.
Pertaining to the function of an organ or part, or to the functions in general.
a.
Having relation to growth or nutrition; partaking of simple growth and enlargement of the systems of nutrition, apart from the sensorial or distinctively animal functions; vegetal.
n.
The doctrine that all the functions of a living organism are due to an unknown vital principle distinct from all chemical and physical forces.
a.
Of, pertaining to, or designating, certain secret tribunals which flourished in Germany from the end of the 12th century to the middle of the 16th, usurping many of the functions of the government which were too weak to maintain law and order, and inspiring dread in all who came within their jurisdiction.
prep.
Acting as a substitute; -- said of abnormal action which replaces a suppressed normal function; as, vicarious hemorrhage replacing menstruation.
n.
A certain function relating to a system of forces and their points of application, -- first used by Clausius in the investigation of problems in molecular physics.
v. t.
To assign to some function or office.
adv.
In a functional manner; as regards normal or appropriate activity.
a.
Pertaining to, or connected with, a function or duty; official.
pl.
of Functionary
a.
Destitute of function, or of an appropriate organ. Darwin.
v. i.
Alt. of Functionate