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SIGMA FUNCTION

  • Sigma function
  • Topics referred to by the same term

    mathematics, by sigma function one can mean one of the following: The sum-of-divisors function σa(n), an arithmetic function Weierstrass sigma function, related

    Sigma function

    Sigma_function

  • Sigma
  • Eighteenth letter of the Greek alphabet

    theory, σ is included in various divisor functions, especially the sigma function or sum-of-divisors function. In applied mathematics, σ(T) denotes the

    Sigma

    Sigma

  • Gaussian function
  • Mathematical function

    {\displaystyle g(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}\exp \left(-{\frac {1}{2}}{\frac {(x-\mu )^{2}}{\sigma ^{2}}}\right).} Gaussian functions are widely used in

    Gaussian function

    Gaussian_function

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

    the number-of-divisors function (OEIS: A000005). When z is 1, the function is called the sigma function or sum-of-divisors function, and the subscript is

    Divisor function

    Divisor function

    Divisor_function

  • Weierstrass functions
  • Mathematical functions related to Weierstrass's elliptic function

    between the sigma, zeta, and ℘ {\displaystyle \wp } functions is analogous to that between the sine, cotangent, and squared cosecant functions: the logarithmic

    Weierstrass functions

    Weierstrass_functions

  • Sigma-additive set function
  • Mapping function

    𝜎-additive. Every 𝜎-additive function is additive but not vice versa, as shown below. Suppose that in addition to a sigma algebra A , {\textstyle {\mathcal

    Sigma-additive set function

    Sigma-additive_set_function

  • Normal distribution
  • Probability distribution

    probability density function is f ( x ) = 1 2 π σ 2 exp ⁡ ( − ( x − μ ) 2 2 σ 2 ) . {\displaystyle f(x)={\frac {1}{\sqrt {2\pi \sigma ^{2}}}}\exp {\left(-{\frac

    Normal distribution

    Normal distribution

    Normal_distribution

  • Entire function
  • Function that is holomorphic on the whole complex plane

    sigma function. Other examples include the Fresnel integrals, the Jacobi theta function, and the reciprocal Gamma function. The exponential function and

    Entire function

    Entire_function

  • Busy beaver
  • Concept in theoretical computer science

    computable function. The score function, Σ : N → N {\displaystyle \Sigma :\mathbb {N} \to \mathbb {N} } , is defined so that Σ ( n ) {\displaystyle \Sigma (n)}

    Busy beaver

    Busy beaver

    Busy_beaver

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

    probabilities. Formally, the standard (unit) softmax function σ : R K → ( 0 , 1 ) K {\displaystyle \sigma :\mathbb {R} ^{K}\to (0,1)^{K}} , where ⁠ K > 1 {\displaystyle

    Softmax function

    Softmax_function

  • 68–95–99.7 rule
  • Shorthand used in statistics

    probability function, Χ is an observation from a normally distributed random variable, μ (mu) is the mean of the distribution, and σ (sigma) is its standard

    68–95–99.7 rule

    68–95–99.7 rule

    68–95–99.7_rule

  • Transfer function
  • Function specifying the behavior of a component in an electronic or control system

    a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models

    Transfer function

    Transfer_function

  • Weierstrass elliptic function
  • Class of mathematical functions

    _{i=1}^{n}{\frac {\sigma (u-a_{i})}{\sigma (u-b_{i})}}\quad c\in \mathbb {C} } where σ {\displaystyle \sigma } is the Weierstrass sigma function and a i , b

    Weierstrass elliptic function

    Weierstrass elliptic function

    Weierstrass_elliptic_function

  • Voigt profile
  • Probability distribution

    {\displaystyle V(x;\sigma ,\gamma )={\frac {\operatorname {Re} [w(z)]}{{\sqrt {2\pi }}\,\sigma }},} where Re[w(z)] is the real part of the Faddeeva function evaluated

    Voigt profile

    Voigt profile

    Voigt_profile

  • Σ-algebra
  • Algebraic structure of set algebra

    In mathematical analysis and in probability theory, a σ-algebra ("sigma algebra") is part of the formalism for defining sets that can be measured. In

    Σ-algebra

    Σ-algebra

  • Measurable function
  • Kind of mathematical function

    probability theory, a measurable function on a probability space is known as a random variable. Let ( X , Σ ) {\displaystyle (X,\Sigma )} and ( Y , T ) {\displaystyle

    Measurable function

    Measurable_function

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

    Harish-Chandra's σ function Weierstrass sigma function Sigma additivity Sigma (album) Sigma (DJs), a British drum and bass duo Universal Sigma, a Japanese record

    Sigma (disambiguation)

    Sigma_(disambiguation)

  • Error function
  • Sigmoid shape special function

    mathematics, the error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ⁡ ( z ) = 2

    Error function

    Error function

    Error_function

  • Six Sigma
  • Business process improvement technique

    Six Sigma (6σ) is a set of techniques and tools for process improvement. It was introduced by American engineer Bill Smith while working at Motorola in

    Six Sigma

    Six_Sigma

  • Delta-sigma modulation
  • Method for converting signals between digital and analog

    Delta-sigma (ΔΣ; or sigma-delta, ΣΔ) modulation is an oversampling method for encoding signals into low bit depth digital signals at a very high sample-frequency

    Delta-sigma modulation

    Delta-sigma modulation

    Delta-sigma_modulation

  • Standard deviation
  • Measure of variation in statistics

    probability density function of f ( x , μ , σ 2 ) = 1 σ 2 π e − 1 2 ( x − μ σ ) 2 , {\displaystyle f\left(x,\mu ,\sigma ^{2}\right)={\frac {1}{\sigma {\sqrt {2\pi

    Standard deviation

    Standard deviation

    Standard_deviation

  • List of mathematical functions
  • to the origin (zero point) Sigma function: Sums of powers of divisors of a given natural number. Euler's totient function: Number of numbers coprime to

    List of mathematical functions

    List_of_mathematical_functions

  • Arithmetic function
  • Function whose domain is the positive integers

    {65}{756}}\sigma _{11}(n)+{\frac {691}{756}}\sigma _{5}(n)-{\frac {691}{3}}\sum _{0<k<n}\sigma _{5}(k)\sigma _{5}(n-k),}     where τ(n) is Ramanujan's function.

    Arithmetic function

    Arithmetic_function

  • Log-normal distribution
  • Probability distribution

    cumulative distribution function is F X ( x ) = Φ ( ln ⁡ x − μ σ ) {\displaystyle F_{X}(x)=\Phi {\left({\frac {\ln x-\mu }{\sigma }}\right)}} where Φ {\displaystyle

    Log-normal distribution

    Log-normal distribution

    Log-normal_distribution

  • Q-function
  • Statistics function

    {y-\mu }{\sigma }}} . Other definitions of the Q-function, all of which are simple transformations of the normal cumulative distribution function, are also

    Q-function

    Q-function

    Q-function

  • Ramanujan tau function
  • Function studied by Ramanujan

    n ∈ N {\displaystyle n\in \mathbb {N} } , the divisor function σ k ( n ) {\displaystyle \sigma _{k}(n)} is the sum of the k {\displaystyle k} th powers

    Ramanujan tau function

    Ramanujan tau function

    Ramanujan_tau_function

  • SIGMA 155
  • Israeli self-propelled howitzer

    The SIGMA 155 is a 155mm self-propelled howitzer manufactured by the Israeli defense company Elbit Systems being introduced into service in the Israel

    SIGMA 155

    SIGMA 155

    SIGMA_155

  • Sigma factor
  • Protein needed for initiation of transcription in prokaryotes

    starvation/stationary phase sigma factor σ54 (RpoN) – the nitrogen-limitation sigma factor There are also anti-sigma factors that inhibit the function of sigma factors and

    Sigma factor

    Sigma_factor

  • Green's function
  • Method of solution to differential equations

    {\boldsymbol {\sigma }}}.} Suppose that the linear differential operator L is the Laplacian, ∇2, and that there is a Green's function G for the Laplacian

    Green's function

    Green's function

    Green's_function

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    of other arithmetic functions aside from μ(n). A typical example is Robin's theorem, which states that if σ(n) is the sigma function, given by σ ( n ) =

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Quasiperiodic function
  • Class of functions behaving "like" periodic functions

    Weierstrass sigma function, which is quasiperiodic in two independent quasiperiods, the periods of the corresponding Weierstrass ℘ function. Bloch's theorem

    Quasiperiodic function

    Quasiperiodic function

    Quasiperiodic_function

  • Propagation of uncertainty
  • Effect of variables' uncertainties on the uncertainty of a function based on them

    _{1}^{2}&\sigma _{12}&\sigma _{13}&\cdots \\\sigma _{21}&\sigma _{2}^{2}&\sigma _{23}&\cdots \\\sigma _{31}&\sigma _{32}&\sigma _{3}^{2}&\cdots

    Propagation of uncertainty

    Propagation_of_uncertainty

  • Logit
  • Function in statistics

    logit is the inverse of the standard logistic function σ ( x ) = 1 / ( 1 + e − x ) {\displaystyle \sigma (x)=1/(1+e^{-x})} , so the logit is defined as

    Logit

    Logit

    Logit

  • Fourier transform
  • Mathematical transform that expresses a function of time as a function of frequency

    takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output

    Fourier transform

    Fourier transform

    Fourier_transform

  • Permutation
  • Mathematical version of an order change

    ( i ) {\displaystyle \sigma (i)} . For example, the permutation (3, 1, 2) corresponds to the function σ {\displaystyle \sigma } defined as σ ( 1 ) =

    Permutation

    Permutation

    Permutation

  • Rayleigh distribution
  • Probability distribution

    density function of the Rayleigh distribution is f ( x ; σ ) = x σ 2 e − x 2 / ( 2 σ 2 ) , x ≥ 0 , {\displaystyle f(x;\sigma )={\frac {x}{\sigma ^{2}}}e^{-x^{2}/(2\sigma

    Rayleigh distribution

    Rayleigh distribution

    Rayleigh_distribution

  • Pareto distribution
  • Probability distribution

    B( ) is the beta function. If W = μ + σ ( Y − 1 − 1 ) γ , σ > 0 , γ > 0 , {\displaystyle W=\mu +\sigma (Y^{-1}-1)^{\gamma },\qquad \sigma >0,\gamma >0,}

    Pareto distribution

    Pareto distribution

    Pareto_distribution

  • Weil pairing
  • Binary function non degenerative defined between the point of twist of an abelian variety

    corresponding results for elliptic functions were known, and can be expressed simply by use of the Weierstrass sigma function. Choose an elliptic curve E defined

    Weil pairing

    Weil_pairing

  • Laplace transform
  • Integral transform useful in probability theory, physics, and engineering

    {\displaystyle F(\sigma +i\tau )=\int _{0}^{\infty }f(t)e^{-\sigma t}e^{-i\tau t}\,dt,} which is the Fourier transform of the function ⁠ f ( t ) e − σ t

    Laplace transform

    Laplace_transform

  • Characteristic function (probability theory)
  • Fourier transform of the probability density function

    probability density function, then the characteristic function is the Fourier transform (with sign reversal) of the probability density function. Thus it provides

    Characteristic function (probability theory)

    Characteristic function (probability theory)

    Characteristic_function_(probability_theory)

  • Linear discriminant analysis
  • Method used in statistics, pattern recognition, and other fields

    }\Sigma _{0}^{-1}({\vec {x}}-{\vec {\mu }}_{0})+{\frac {1}{2}}\ln |\Sigma _{0}|-{\frac {1}{2}}({\vec {x}}-{\vec {\mu }}_{1})^{\mathrm {T} }\Sigma _{1}^{-1}({\vec

    Linear discriminant analysis

    Linear discriminant analysis

    Linear_discriminant_analysis

  • Crystal Ball function
  • Probability density function

    n,{\bar {x}},\sigma )=N\cdot {\begin{cases}\exp(-{\frac {(x-{\bar {x}})^{2}}{2\sigma ^{2}}}),&{\mbox{for }}{\frac {x-{\bar {x}}}{\sigma }}>-\alpha \\A\cdot

    Crystal Ball function

    Crystal Ball function

    Crystal_Ball_function

  • Maximum likelihood estimation
  • Method of estimating the parameters of a statistical model, given observations

    _{2})}{\sigma _{1}\sigma _{2}}}+{\frac {(y_{2}-\mu _{2})^{2}}{\sigma _{2}^{2}}}\right)\right]} In this and other cases where a joint density function exists

    Maximum likelihood estimation

    Maximum_likelihood_estimation

  • Truncated normal distribution
  • Type of probability distribution

    f(x;\mu ,\sigma ,a,b)={\frac {1}{\sigma }}\,{\frac {\varphi ({\frac {x-\mu }{\sigma }})}{\Phi ({\frac {b-\mu }{\sigma }})-\Phi ({\frac {a-\mu }{\sigma }})}}}

    Truncated normal distribution

    Truncated normal distribution

    Truncated_normal_distribution

  • Half-normal distribution
  • Probability distribution

    zero. Using the σ {\displaystyle \sigma } parametrization of the normal distribution, the probability density function (PDF) of the half-normal is given

    Half-normal distribution

    Half-normal distribution

    Half-normal_distribution

  • Activation function
  • Artificial neural network node function

    the function center and a {\displaystyle a} and σ {\displaystyle \sigma } are parameters affecting the spread of the radius. Periodic functions can serve

    Activation function

    Activation function

    Activation_function

  • Multivariate normal distribution
  • Generalization of the one-dimensional normal distribution to higher dimensions

    k\times k} matrix Σ {\displaystyle {\boldsymbol {\Sigma }}} , such that the characteristic function of X {\displaystyle \mathbf {X} } is φ X ( u ) = exp

    Multivariate normal distribution

    Multivariate normal distribution

    Multivariate_normal_distribution

  • Matérn covariance function
  • Tool in multivariate statistical analysis

    exponential covariance function lim ν → ∞ C ν ( d ) = σ 2 exp ⁡ ( − d 2 2 ρ 2 ) . {\displaystyle \lim _{\nu \rightarrow \infty }C_{\nu }(d)=\sigma ^{2}\exp \left(-{\frac

    Matérn covariance function

    Matérn_covariance_function

  • Summation
  • Addition of several numbers or other values

    also ways to generalize the use of many sigma notations. For example, one writes double summation as two sigma notations with different dummy variables

    Summation

    Summation

  • Radial basis function kernel
  • Machine learning kernel function

    {\displaystyle \sigma } is a free parameter. An equivalent definition involves a parameter γ = 1 2 σ 2 {\displaystyle \textstyle \gamma ={\tfrac {1}{2\sigma ^{2}}}}

    Radial basis function kernel

    Radial_basis_function_kernel

  • Moment generating function
  • Concept in probability theory and statistics

    \operatorname {E} [X^{n}]=e^{n\mu +n^{2}\sigma ^{2}/2}} and are all finite but its moment generating function E ⁡ [ e t X ] {\displaystyle \operatorname

    Moment generating function

    Moment_generating_function

  • Uncertainty principle
  • Foundational principle in quantum physics

    ) ] 2 , {\displaystyle \sigma _{A}^{2}\sigma _{B}^{2}\geq \left[\sum _{k}p_{k}L(\varrho _{k})\right]^{2},} where the function in the bound is defined

    Uncertainty principle

    Uncertainty principle

    Uncertainty_principle

  • Variance
  • Statistical measure of how far values spread from their average

    variable with itself, and it is often represented by ⁠ σ 2 {\displaystyle \sigma ^{2}} ⁠, ⁠ s 2 {\displaystyle s^{2}} ⁠, ⁠ Var ⁡ ( X ) {\displaystyle \operatorname

    Variance

    Variance

    Variance

  • Central limit theorem
  • Fundamental theorem in probability theory and statistics

    {N}}\left(0,\sigma ^{2}\right).} In the case σ > 0 , {\displaystyle \sigma >0,} convergence in distribution means that the cumulative distribution functions of

    Central limit theorem

    Central limit theorem

    Central_limit_theorem

  • Chi distribution
  • Probability distribution

    )   . {\displaystyle \gamma _{2}={\frac {2}{\ \sigma ^{2}\ }}\left(1-\mu \ \sigma \ \gamma _{1}-\sigma ^{2}\right)~.} The entropy is given by: S = ln

    Chi distribution

    Chi distribution

    Chi_distribution

  • Stress functions
  • Equations describing elastic deformation

    equilibrium equation: σ i j , i = 0 {\displaystyle \sigma _{ij,i}=0\,} where σ {\displaystyle \sigma } is the stress tensor, and the Beltrami-Michell compatibility

    Stress functions

    Stress_functions

  • Cross-correlation
  • Covariance and correlation

    _{t_{1}}\right)}}\left(X_{t_{2}}-\mu _{t_{2}}\right)\right]}{\sigma _{X}(t_{1})\sigma _{X}(t_{2})}}} If the function ρ X X {\displaystyle \rho _{XX}} is well-defined

    Cross-correlation

    Cross-correlation

    Cross-correlation

  • Generalized extreme value distribution
  • Family of probability distributions

    {\displaystyle \ \xi \ } and   σ   . {\displaystyle \ \sigma ~.} The probability density function of the standardized distribution is f ( s ; ξ ) = { e

    Generalized extreme value distribution

    Generalized_extreme_value_distribution

  • Lp space
  • Function spaces generalizing finite-dimensional p norm spaces

    and ( S , Σ , μ ) {\displaystyle (S,\Sigma ,\mu )} be a measure space and consider an integrable simple function f {\displaystyle f} on S {\displaystyle

    Lp space

    Lp_space

  • Itô's lemma
  • Identity in Itô calculus analogous to the chain rule

    dX_{t}=\mu _{t}\ dt+\sigma _{t}\ dB_{t},} where Bt is a Wiener process and the functions μ t , σ t {\displaystyle \mu _{t},\sigma _{t}} are deterministic

    Itô's lemma

    Itô's_lemma

  • Type theory
  • Mathematical theory of data types

    notation σ → τ {\displaystyle \sigma \to \tau } is the type of a function which takes a parameter of type σ {\displaystyle \sigma } and returns a term of type

    Type theory

    Type_theory

  • Conditional probability distribution
  • Probability theory and statistics concept

    trivial sigma algebra G = { ∅ , Ω } {\displaystyle {\mathcal {G}}=\{\emptyset ,\Omega \}} , the conditional probability is the constant function P ( A ∣

    Conditional probability distribution

    Conditional_probability_distribution

  • Multiplicative function
  • Function equal to the product of its values on coprime factors

    {\displaystyle n} is not square-free σ k ( n ) {\displaystyle \sigma _{k}(n)} : the divisor function, which is the sum of the k {\displaystyle k} -th powers

    Multiplicative function

    Multiplicative_function

  • Geometric Brownian motion
  • Continuous stochastic process

    \left[\exp \left(2\sigma W_{t}-\sigma ^{2}t\right)\mid {\mathcal {F}}_{s}\right]=e^{\sigma ^{2}(t-s)}\exp \left(2\sigma W_{s}-\sigma ^{2}s\right),\quad

    Geometric Brownian motion

    Geometric Brownian motion

    Geometric_Brownian_motion

  • Generalized Pareto distribution
  • Family of probability distributions often used to model tails or extreme values

    III . The cumulative distribution function of X ∼ GPD ( μ , σ , ξ ) {\displaystyle X\sim {\text{GPD}}(\mu ,\sigma ,\xi )} ( μ ∈ R {\displaystyle \mu

    Generalized Pareto distribution

    Generalized Pareto distribution

    Generalized_Pareto_distribution

  • Mohr–Coulomb theory
  • Mathematical model in materials science

    the function σ 1 − σ 3 2 = σ 1 + σ 3 2   sin ⁡ ϕ + c cos ⁡ ϕ {\displaystyle {\cfrac {\sigma _{1}-\sigma _{3}}{2}}={\cfrac {\sigma _{1}+\sigma _{3}}{2}}~\sin

    Mohr–Coulomb theory

    Mohr–Coulomb_theory

  • Piecewise linear function
  • Type of mathematical function

    function is a real-valued function of a real variable, whose graph is composed of straight-line segments. A piecewise linear function is a function defined

    Piecewise linear function

    Piecewise_linear_function

  • Diffusion model
  • Technique for the generative modeling of a continuous probability distribution

    increasing monotonic function σ {\displaystyle \sigma } of type R → ( 0 , 1 ) {\displaystyle \mathbb {R} \to (0,1)} , such as the sigmoid function. In that case

    Diffusion model

    Diffusion_model

  • Stefan–Boltzmann law
  • Physical law on the emissive power of black body

    ∘ = σ T 4 . {\displaystyle M^{\circ }=\sigma \,T^{4}.} The constant of proportionality, σ {\displaystyle \sigma } , is called the Stefan–Boltzmann constant

    Stefan–Boltzmann law

    Stefan–Boltzmann law

    Stefan–Boltzmann_law

  • Design for Six Sigma
  • Business management method

    science. While the tools and order used in Six Sigma require a process to be in place and functioning, DFSS has the objective of determining the needs

    Design for Six Sigma

    Design_for_Six_Sigma

  • Buchholz hydra
  • Hydra game in mathematical logic

    {\displaystyle 0} . If the player decides to remove the top node σ {\displaystyle \sigma } of A {\displaystyle A} , the hydra will then choose an arbitrary n ∈ N

    Buchholz hydra

    Buchholz_hydra

  • Universal approximation theorem
  • Property of artificial neural networks

    {\displaystyle \sigma (-\infty )<\sigma (+\infty )} , then one can first affinely scale down its x-axis so that its graph looks like a step-function with two

    Universal approximation theorem

    Universal_approximation_theorem

  • Pauli matrices
  • Matrices important in quantum mechanics and the study of spin

    sigma _{j},\sigma _{k}\right]+\{\sigma _{j},\sigma _{k}\}&=(\sigma _{j}\sigma _{k}-\sigma _{k}\sigma _{j})+(\sigma _{j}\sigma _{k}+\sigma _{k}\sigma

    Pauli matrices

    Pauli matrices

    Pauli_matrices

  • Process capability index
  • Statistical measure of process capability

    probability density function Φ ( σ ) = 1 2 π ∫ − σ σ e − t 2 / 2 d t {\displaystyle \Phi (\sigma )={\frac {1}{\sqrt {2\pi }}}\int _{-\sigma }^{\sigma }e^{-t^{2}/2}\

    Process capability index

    Process_capability_index

  • Gaussian integral
  • Integral of the Gaussian function, equal to sqrt(π)

    {\frac {1}{2^{N}N!}}\,\sum _{\sigma \in S_{2N}}(A^{-1})_{k_{\sigma (1)}k_{\sigma (2)}}\cdots (A^{-1})_{k_{\sigma (2N-1)}k_{\sigma (2N)}}} where σ is a permutation

    Gaussian integral

    Gaussian integral

    Gaussian_integral

  • Logit-normal distribution
  • Probability distribution

    \sigma ^{2}}^{-1}(i/K)\right)\right)^{n},} where P {\textstyle P} is the standard logistic function, and Φ μ , σ 2 − 1 {\textstyle \Phi _{\mu ,\sigma ^{2}}^{-1}}

    Logit-normal distribution

    Logit-normal distribution

    Logit-normal_distribution

  • Wiener process
  • Stochastic process generalizing Brownian motion

    s}(t)&=&W(t+s)-W(s),\quad s\in \mathbb {R} \\W_{2,\sigma }(t)&=&\sigma ^{-1/2}W(\sigma t),\quad \sigma >0\\W_{3}(t)&=&tW(-1/t).\end{array}}} Thus the Wiener

    Wiener process

    Wiener process

    Wiener_process

  • Gaussian process
  • Statistical model

    theorem, involves the function σ {\displaystyle \sigma } defined by σ ( h ) = E [ ( X ( t + h ) − X ( t ) ) 2 ] {\displaystyle \sigma (h)={\sqrt {{\mathbb

    Gaussian process

    Gaussian_process

  • Type system
  • Computer science concept

    program are the function definitions. One function is invoked by another function. The interface of a function states the name of the function and a list of

    Type system

    Type_system

  • Kronecker delta
  • 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

    Kronecker_delta

  • Cumulative distribution function
  • Probability that random variable X is less than or equal to x

    cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,

    Cumulative distribution function

    Cumulative distribution function

    Cumulative_distribution_function

  • Mean squared error
  • Measure of the error of an estimator

    sigma ^{2}+\sigma ^{4}\\&={\frac {(n-1)^{2}}{a^{2}}}\operatorname {E} \left[S_{n-1}^{4}\right]-2\left({\frac {n-1}{a}}\right)\sigma ^{4}+\sigma ^{4}&&\operatorname

    Mean squared error

    Mean_squared_error

  • Doob–Dynkin lemma
  • Statement in probability theory

    situation when one random variable is a function of another by the inclusion of the σ {\displaystyle \sigma } -algebras generated by the random variables

    Doob–Dynkin lemma

    Doob–Dynkin_lemma

  • Weight function
  • Construct related to weighted sums and averages

    A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result

    Weight function

    Weight_function

  • Sigma-1 receptor
  • Chaperone protein

    The sigma-1 receptor (σ1R), one of two sigma receptor subtypes, is a chaperone protein at the endoplasmic reticulum (ER) that modulates calcium signaling

    Sigma-1 receptor

    Sigma-1 receptor

    Sigma-1_receptor

  • Infinite product
  • Mathematical concept

    result concerning infinite products is that every entire function f(z) (that is, every function that is holomorphic over the entire complex plane) can be

    Infinite product

    Infinite_product

  • Cauchy–Riemann equations
  • Characteristic property of holomorphic functions

    x + σ 2 ∂ y {\displaystyle \nabla \equiv \sigma _{1}\partial _{x}+\sigma _{2}\partial _{y}} . The function f = u + J v {\displaystyle f=u+Jv} is considered

    Cauchy–Riemann equations

    Cauchy–Riemann equations

    Cauchy–Riemann_equations

  • Multiple zeta function
  • Generalizations of the Riemann zeta function

    {\displaystyle {\mathfrak {Sh}}_{n,m}=\{\sigma \in S_{m}\mid \sigma (1)<\cdots <\sigma (n),\sigma (n+1)<\cdots <\sigma (m)\}} and S m {\displaystyle S_{m}}

    Multiple zeta function

    Multiple_zeta_function

  • BLAKE (hash function)
  • Cryptographic hash function

    BLAKE is a cryptographic hash function based on Daniel J. Bernstein's ChaCha stream cipher, but a permuted copy of the input block, XORed with round constants

    BLAKE (hash function)

    BLAKE_(hash_function)

  • Ising model
  • Mathematical model of ferromagnetism in statistical mechanics

    σ ) {\displaystyle Z_{\beta }=\sum _{\sigma }e^{-\beta H(\sigma )}} is the partition function. For a function f {\displaystyle f} of the spins ("observable")

    Ising model

    Ising model

    Ising_model

  • Sigma receptor
  • Class of cell surface receptors

    siramesine. There are two subtypes, sigma-1 receptors (σ1) and sigma-2 receptors (σ2), which are classified as sigma receptors for their pharmacological

    Sigma receptor

    Sigma_receptor

  • Radon–Nikodym theorem
  • Expressing a measure as an integral of another

    {\displaystyle \mu } ), then there exists a Σ {\displaystyle \Sigma } -measurable function f : X → [ 0 , ∞ ) , {\displaystyle f:X\to [0,\infty ),} such

    Radon–Nikodym theorem

    Radon–Nikodym_theorem

  • Sigma model
  • Field theory of a point particle confined to move on a fixed manifold

    In physics, a sigma model is a field theory that describes the field as a point particle confined to move on a fixed manifold. This manifold can be taken

    Sigma model

    Sigma_model

  • Embedding
  • Inclusion of one mathematical structure in another, preserving properties of interest

    {\displaystyle \sigma } -embedding exactly if all of the following hold: h {\displaystyle h} is injective, for every n {\displaystyle n} -ary function symbol f

    Embedding

    Embedding

  • Sigma 70-200mm f/2.8 EX DG OS HSM lens
  • Camera lens

    The Sigma 70-200mm f2.8 EX DG OS HSM is a camera lens produced by the Sigma Corporation. The lens features an Optical Stabiliser function, which in turn

    Sigma 70-200mm f/2.8 EX DG OS HSM lens

    Sigma 70-200mm f/2.8 EX DG OS HSM lens

    Sigma_70-200mm_f/2.8_EX_DG_OS_HSM_lens

  • Black–Scholes equation
  • Partial differential equation in mathematical finance

    price of the option as a function of stock price S and time t, r is the risk-free interest rate, and σ {\displaystyle \sigma } is the volatility of the

    Black–Scholes equation

    Black–Scholes equation

    Black–Scholes_equation

  • Ricker wavelet
  • Wavelet proportional to the second derivative of a Gaussian

    (t)={\frac {2}{{\sqrt {3\sigma }}\pi ^{1/4}}}\left(1-\left({\frac {t}{\sigma }}\right)^{2}\right)e^{-{\frac {t^{2}}{2\sigma ^{2}}}}} is the negative normalized

    Ricker wavelet

    Ricker wavelet

    Ricker_wavelet

  • Dirichlet series
  • Mathematical series

    }{\frac {\sigma _{a}(n)\sigma _{b}(n)}{n^{s}}}\end{aligned}}} where σa(n) is the divisor function. By specialization to the divisor function d = σ0 we

    Dirichlet series

    Dirichlet_series

  • Cauchy stress tensor
  • Representation of mechanical stress at every point within a deformed 3D object

    sigma _{1}+\sigma _{2}+\sigma _{3}\\I_{2}&=\sigma _{1}\sigma _{2}+\sigma _{2}\sigma _{3}+\sigma _{3}\sigma _{1}\\I_{3}&=\sigma _{1}\sigma _{2}\sigma

    Cauchy stress tensor

    Cauchy stress tensor

    Cauchy_stress_tensor

  • Simple function
  • Function that attains finitely many values

    is defined on the space ( X , Σ ) {\displaystyle (X,\Sigma )} , the integral of a simple function f : X → R {\displaystyle f\colon X\to \mathbb {R} } with

    Simple function

    Simple_function

AI & ChatGPT searchs for online references containing SIGMA FUNCTION

SIGMA FUNCTION

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SIGMA FUNCTION

  • Zafran
  • Boy/Male

    Arabic, Muslim

    Zafran

    Gold Stigma of a Flower; Derived from Zarparan

    Zafran

  • SHEM
  • Male

    Hebrew

    SHEM

    (שֵׁם) Hebrew name SHEM means "conspicuous position, name, renown, sigma." In the bible, this is the name of a son of Noah.

    SHEM

  • Sima
  • Girl/Female

    Hindu

    Sima

    Boundary, Border

    Sima

  • Sima
  • Girl/Female

    Afghan, Arabic, Armenian, Australian, Farsi, French, Gujarati, Hebrew, Hindu, Indian, Malayalam, Muslim, Sanskrit, Tamil

    Sima

    Limit; Border; Listener; Precious Thing; Treasure; Boundary; Bank; Shore

    Sima

  • SigMt
  • Boy/Male

    Norse

    SigMt

    Victorious defender.

    SigMt

  • SEEMA
  • Female

    Hindi/Indian

    SEEMA

    (सीमा) Variant spelling of Hindi Sima, SEEMA means "boundary, limit." Compare with another form of Seema.

    SEEMA

  • Silma
  • Girl/Female

    Arabic, Muslim

    Silma

    Peace

    Silma

  • Sima | ஸீமா
  • Girl/Female

    Tamil

    Sima | ஸீமா

    Boundary, Border

    Sima | ஸீமா

  • Sigga
  • Girl/Female

    British, Danish, English, German, Swedish

    Sigga

    Powerful Silence; Peaceful Victory

    Sigga

  • Syms
  • Surname or Lastname

    English

    Syms

    English : patronymic from a short form of the personal name Simon.Jewish (from Ukraine; Symes, Symis) : metronymic from the Yiddish female personal name Sime (see Sima).Benjamin Syms was a planter and philanthropist, probably the earliest inhabitant of any North American colony to bequeath property for the establishment of a free school. His name was spelled variously as Sims, Simes, Sym, Symms, Syms, and Symes. He was probably born in England, but was reported in the VA census of 1624/25 as age 33 and living at Basse’s Choice in what was later known as Isle of Wight County.

    Syms

  • SIMA
  • Female

    Hindi/Indian

    SIMA

    (सीमा) Hindi name SIMA means "boundary, limit." Compare with another form of Sima.

    SIMA

  • Sagma
  • Boy/Male

    Hindu, Indian, Muslim

    Sagma

    Powerful; Mighty; Strong; Rich; Successful

    Sagma

  • Signa
  • Girl/Female

    Danish, German, Latin, Scandinavian, Swedish

    Signa

    Sign; Signal; Victory

    Signa

  • Simes
  • Surname or Lastname

    English

    Simes

    English : patronymic from Sim.Jewish (Ashkenazic) : metronymic from the Yiddish female personal name Sime (see Sima).

    Simes

  • Signa
  • Girl/Female

    Latin

    Signa

    Sign.

    Signa

  • 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

  • Sima
  • Girl/Female

    Scottish

    Sima

    Listener.

    Sima

  • 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

  • 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

  • Simkin
  • Surname or Lastname

    English (Midlands)

    Simkin

    English (Midlands) : from the Middle English personal name, a pet form of Sim.Jewish (from Belarus) : metronymic from Simke, a pet form of the Yiddish female personal name Sime (see Sima) with the eastern Slavic possessive suffix -in.

    Simkin

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Online names & meanings

  • Santokhdeep
  • Boy/Male

    Sikh

    Santokhdeep

    Contented, Peaceful, And patient

  • Shasthika | ஷாஸ்தீகா
  • Girl/Female

    Tamil

    Shasthika | ஷாஸ்தீகா

    Goddess Durga

  • Montie
  • Boy/Male

    American, Australian, British, English

    Montie

    From the Wealthy Man's Mountain; Mountain; Abbreviation of Montague and Montgomery

  • Shuneal
  • Boy/Male

    Muslim/Islamic

    Shuneal

    Traveller

  • Aviroon
  • Boy/Male

    Hindu, Indian

    Aviroon

    First Sun Rays

  • Shaivya | ஷைவ்யா
  • Boy/Male

    Tamil

    Shaivya | ஷைவ்யா

    The cult of Shiva

  • Kanal | கநல
  • Boy/Male

    Tamil

    Kanal | கநல

    Shining, Brilliant

  • Shott
  • Surname or Lastname

    English

    Shott

    English : topographic name for someone who lived by a projecting piece of land, from Old English scēat, or a steep slope, from an unattested Old English scēot.

  • Gudi
  • Girl/Female

    Indian, Kannada

    Gudi

    Sweet; Doll; Means Temple in Kannada Language

  • Donati
  • Boy/Male

    Italian

    Donati

    Present.

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SIGMA FUNCTION

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Other words and meanings similar to

SIGMA FUNCTION

AI search in online dictionary sources & meanings containing SIGMA FUNCTION

SIGMA FUNCTION

  • Stigma
  • v. t.

    One of the apertures of the pulmonary sacs of arachnids. See Illust. of Scorpion.

  • Sigma
  • n.

    The Greek letter /, /, or / (English S, or s). It originally had the form of the English C.

  • Stigmata
  • n.

    pl. of Stigma.

  • Note
  • n.

    Stigma; brand; reproach.

  • Stigma
  • v. t.

    That part of a pistil which has no epidermis, and is fitted to receive the pollen. It is usually the terminal portion, and is commonly somewhat glutinous or viscid. See Illust. of Stamen and of Flower.

  • Stigmatical
  • a.

    Of or pertaining to a stigma or stigmata.

  • Stigma
  • v. t.

    One of the apertures of the gill of an ascidian, and of Amphioxus.

  • Stigma
  • v. t.

    A small spot, mark, scar, or a minute hole; -- applied especially to a spot on the outer surface of a Graafian follicle, and to spots of intercellular substance in scaly epithelium, or to minute holes in such spots.

  • Stigma
  • v. t.

    One of the external openings of the tracheae of insects, myriapods, and other arthropods; a spiracle.

  • Stigmata
  • pl.

    of Stigma

  • Sigla
  • n. pl.

    The signs, abbreviations, letters, or characters standing for words, shorthand, etc., in ancient manuscripts, or on coins, medals, etc.

  • Pollinate
  • v. t.

    To apply pollen to (a stigma).

  • Stigma
  • v. t.

    A red speck upon the skin, produced either by the extravasation of blood, as in the bloody sweat characteristic of certain varieties of religious ecstasy, or by capillary congestion, as in the case of drunkards.

  • Stigmas
  • pl.

    of Stigma

  • Stigma
  • v. t.

    A mark made with a burning iron; a brand.

  • Stigma
  • v. t.

    A point so connected by any law whatever with another point, called an index, that as the index moves in any manner in a plane the first point or stigma moves in a determinate way in the same plane.

  • Stigma
  • v. t.

    Marks believed to have been supernaturally impressed upon the bodies of certain persons in imitation of the wounds on the crucified body of Christ. See def. 5, above.

  • Sigmas
  • pl.

    of Sigma

  • Stoma
  • n.

    A stigma. See Stigma, n., 6 (a) & (b).

  • Stigma
  • v. t.

    Any mark of infamy or disgrace; sign of moral blemish; stain or reproach caused by dishonorable conduct; reproachful characterization.