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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
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)
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
{(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
\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
\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
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
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
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
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
{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
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
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
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
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
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
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
) {\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
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
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
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
{\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
_{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
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
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
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
=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
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
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)
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
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
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
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
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)
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
=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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Measure of material deformation perpendicular to loading
In materials science and solid mechanics, Poisson's ratio (symbol: ν (nu)) is a measure of the Poisson effect, the deformation (expansion or contraction)
Poisson's_ratio
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
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
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
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
Mathematical operation
transform, and the theory of the gamma function and allied special functions. The Mellin transform of a complex-valued function f defined on R + × = ( 0 , ∞ )
Mellin_transform
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
Polynomial function of degree 5
In mathematics, a quintic function is a function of the form g ( x ) = a x 5 + b x 4 + c x 3 + d x 2 + e x + f , {\displaystyle g(x)=ax^{5}+bx^{4}+cx^{3}+dx^{2}+ex+f
Quintic_function
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
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
Class of probability distributions
\operatorname {Var} (X)=V(\mu )=\nu _{0}+\nu _{1}\mu +\nu _{2}\mu ^{2},} then the new NEF-QVF has variance function Var ( Y ) = V ∗ ( μ ∗ ) = ν 0 ∗
Natural_exponential_family
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
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
NU FUNCTION
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