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SIGMA ADDITIVE-SET-FUNCTION

  • Sigma-additive set function
  • Mapping function

    mathematics, an additive set function is a function μ \mu mapping sets to numbers, with the property that its value on a union of two disjoint sets equals the

    Sigma-additive set function

    Sigma-additive_set_function

  • Σ-algebra
  • Algebraic structure of set algebra

    of a statistical trial or experiment Sigma-additive set function – Mapping function Sigma-ring – Family of sets closed under countable unions Elstrodt

    Σ-algebra

    Σ-algebra

  • Measure (mathematics)
  • Generalization of mass, length, area and volume

    ∈ Σ ,     μ ( E ) ≥ 0 {\displaystyle E\in \Sigma ,\ \ \mu (E)\geq 0} Countable additivity (or σ-additivity): For all countable collections { E k } k =

    Measure (mathematics)

    Measure (mathematics)

    Measure_(mathematics)

  • Additive
  • Topics referred to by the same term

    addition operation Additive set-function see Sigma additivity Additive category, a preadditive category with finite biproducts Additive inverse, an arithmetic

    Additive

    Additive

  • Set function
  • Function from sets to numbers

    mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its values

    Set function

    Set_function

  • Additive process
  • Cadlag in probability theory

    {B(\alpha _{t}+i\sigma _{t}u,\beta _{t}-i\sigma u)}{B(\alpha _{t},\beta _{t})}}\right)^{\delta _{t}}e^{i\mu _{t}u}\;\;.} Two subcases of additive logistic process

    Additive process

    Additive_process

  • Generalized additive model
  • Statistics models class

    generalized additive model (GAM) is a generalized linear model in which the linear response variable depends linearly on unknown smooth functions of some

    Generalized additive model

    Generalized_additive_model

  • Additive model
  • Statistical regression model

    In statistics, an additive model (AM) is a nonparametric regression method. It was suggested by Jerome H. Friedman and Werner Stuetzle (1981) and is an

    Additive model

    Additive_model

  • Zonoid
  • Class of convex shapes

    an atom-free vector-valued sigma-additive set function. Here, a function from a family of sets to vectors is sigma-additive when the family is closed under

    Zonoid

    Zonoid

  • 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

  • Tau additivity
  • Property of certain measures on topological spaces

    field of measure theory, τ-additivity is a certain property of measures on topological spaces. A measure or set function μ {\displaystyle \mu } on a

    Tau additivity

    Tau_additivity

  • Cylinder set measure
  • not a result. A cylinder set measure can be intuitively understood as defining a finitely additive function on the cylinder sets of the topological vector

    Cylinder set measure

    Cylinder_set_measure

  • Vitali set
  • Set of real numbers that is not Lebesgue measurable

    However, the closest generalization to mass must have the property of sigma additivity, which leads us to the Lebesgue measure. It assigns a measure of b

    Vitali set

    Vitali_set

  • Tweedie distribution
  • Family of probability distributions

    models are both additive and reproductive; we thus have the duality transformation Y ↦ Z = Y / σ 2 . {\displaystyle Y\mapsto Z=Y/\sigma ^{2}.} A third

    Tweedie distribution

    Tweedie_distribution

  • 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)

  • 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

  • Arithmetic function
  • Function whose domain is the positive integers

    is no prime number that divides both of them. Then an arithmetic function a is additive if a(mn) = a(m) + a(n) for all coprime natural numbers m and n;

    Arithmetic function

    Arithmetic_function

  • Additive utility
  • Concept in economics

    In economics, additive utility is a cardinal utility function with the sigma additivity property. Additivity (also called linearity or modularity) means

    Additive utility

    Additive_utility

  • Ba space
  • Class of Banach spaces

    {\displaystyle ba(\Sigma )} of an algebra of sets Σ {\displaystyle \Sigma } is the Banach space consisting of all bounded and finitely additive signed measures

    Ba space

    Ba_space

  • Carathéodory's extension theorem
  • Theorem extending pre-measures to measures

    {\displaystyle \sigma } -finite), and moreover that it does not fail to satisfy the sigma-additivity of the original function. For a given set Ω , {\displaystyle

    Carathéodory's extension theorem

    Carathéodory's_extension_theorem

  • Axiomatic system
  • Mathematical term; concerning axioms used to derive theorems

    logical structure, used also in theoretical computer science. It consists of a set of formal statements known as axioms that are used for the logical deduction

    Axiomatic system

    Axiomatic_system

  • Total variation
  • Measure of local oscillation behavior

    E\in \Sigma } Definition 1.3. The variation (also called absolute variation) of the signed measure μ {\displaystyle \mu } is the set function | μ | (

    Total variation

    Total_variation

  • Cap set
  • Points with no three in a line

    cap set problem is the problem of finding the size of the largest possible cap set, as a function of n {\displaystyle n} . The first few cap set sizes

    Cap set

    Cap set

    Cap_set

  • Glossary of set theory
  • club set stratified A formula of set theory is stratified if and only if there is a function σ {\displaystyle \sigma } which sends each variable appearing

    Glossary of set theory

    Glossary_of_set_theory

  • Continuously differentiable function of a single real variable
  • Concept in real analysis

    differentiable function if and only if it is a meagre F σ {\displaystyle F_{\sigma }} set. In particular, there exist differentiable functions whose derivatives

    Continuously differentiable function of a single real variable

    Continuously_differentiable_function_of_a_single_real_variable

  • Window function
  • Function used in signal processing

    processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside

    Window function

    Window function

    Window_function

  • Subadditivity
  • Property of some mathematical functions

    particularly norms and square roots. Additive maps are special cases of subadditive functions. A subadditive function is a function f : A → B {\displaystyle f\colon

    Subadditivity

    Subadditivity

  • Design for manufacturability
  • Designing products to facilitate manufacturing

    of the given additive manufacturing machine, material, and process (for example, less than 70 degrees from vertical). Design for Six Sigma Design for X

    Design for manufacturability

    Design for manufacturability

    Design_for_manufacturability

  • 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

  • Tau
  • Nineteenth letter in the Greek alphabet

    function τ(n) related to the divisor function σ(n), also sometimes called Ramanujan's tau function. "DLMF: §27.14 Unrestricted Partitions ‣ Additive Number

    Tau

    Tau

  • 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

  • Entropy (information theory)
  • Average uncertainty in variable's states

    properties of entropy as a function of random variables (subadditivity and additivity), rather than the properties of entropy as a function of the probability

    Entropy (information theory)

    Entropy_(information_theory)

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

    ω ( n ) {\displaystyle \gamma (n)=(-1)^{\omega (n)}} , where the additive function ω ( n ) {\displaystyle \omega (n)} is the number of distinct primes

    Multiplicative function

    Multiplicative_function

  • Sigma-ideal
  • Family closed under subsets and countable unions

    algebra 𝜎-ring – Family of sets closed under countable unions Sigma additivity – Mapping functionPages displaying short descriptions of redirect targets Bauer

    Sigma-ideal

    Sigma-ideal

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

    {\displaystyle A_{j}\in \Sigma } has finite measure and 1 A j {\displaystyle {\mathbf {1} }_{A_{j}}} is the indicator function of the set A j , {\displaystyle

    Lp space

    Lp_space

  • 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

  • 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

  • Product integral
  • Integral using products instead of sums

    which are sigma-additive set functions. However, the Type I integral is not multiplicative as a functional. Given two product-integrable functions ⁠ f , g

    Product integral

    Product_integral

  • Almost everywhere
  • Everywhere except a set of measure zero

    everywhere in X {\displaystyle X} if there exists a measurable set N ∈ Σ {\displaystyle N\in \Sigma } with μ ( N ) = 0 {\displaystyle \mu (N)=0} , and all x

    Almost everywhere

    Almost everywhere

    Almost_everywhere

  • Axiom of choice
  • Axiom of set theory

    {\displaystyle (\forall x^{\sigma })(\exists y^{\tau })R(x,y)\to (\exists f^{\sigma \to \tau })(\forall x^{\sigma })R(x,f(x)).} Unlike in set theory, the axiom

    Axiom of choice

    Axiom of choice

    Axiom_of_choice

  • Point-set registration
  • Process of finding a spatial transformation that aligns two point clouds

    log-likelihood function, i.e. the cost function: Ignoring constants independent of θ {\displaystyle \theta } and σ {\displaystyle \sigma } , Equation (cpd

    Point-set registration

    Point-set registration

    Point-set_registration

  • Quaternion
  • Four-dimensional number system

    -i\,\sigma _{1}=-\sigma _{2}\,\sigma _{3},\quad \mathbf {j} \mapsto -i\,\sigma _{2}=-\sigma _{3}\,\sigma _{1},\quad \mathbf {k} \mapsto -i\,\sigma _{3}=-\sigma

    Quaternion

    Quaternion

    Quaternion

  • Exponential dispersion model
  • Set of probability distributions

    =A'(\theta )\,,\quad \operatorname {Var} [Y]=\sigma ^{2}A''(\theta )=\sigma ^{2}V(\mu )\,\!,} with unit variance function V ( μ ) = A ″ ( ( A ′ ) − 1 ( μ ) ) {\displaystyle

    Exponential dispersion model

    Exponential_dispersion_model

  • Dirichlet series
  • Mathematical series

    form a ring Ω, indeed an R-algebra, with the zero function as additive zero element and the function δ defined by δ(1) = 1, δ(n) = 0 for n > 1 as multiplicative

    Dirichlet series

    Dirichlet_series

  • Haar measure
  • Left-invariant (or right-invariant) measure on locally compact topological group

    limit exists follows using Tychonoff's theorem. The function μ A {\displaystyle \mu _{A}} is additive on disjoint compact subsets of G {\displaystyle G}

    Haar measure

    Haar_measure

  • Content (measure theory)
  • Generalization of a measure

    additive, and the measure may even be identically zero even if the content is not. First restrict the content to compact sets. This gives a function λ

    Content (measure theory)

    Content_(measure_theory)

  • Rice distribution
  • Probability distribution

    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 {x}{\sigma ^{2}}}\exp

    Rice distribution

    Rice distribution

    Rice_distribution

  • Semiring
  • Algebraic ring that need not have additive negative elements

    which the additive monoid is a complete monoid, meaning that it has an infinitary sum operation Σ I {\displaystyle \Sigma _{I}} for any index set I {\displaystyle

    Semiring

    Semiring

  • Sigma-ring
  • Family of sets closed under countable unions

    In mathematics, a nonempty collection of sets is called a 𝜎-ring (pronounced sigma-ring) if it is closed under countable union and relative complementation

    Sigma-ring

    Sigma-ring

  • Quantization (signal processing)
  • Process of mapping a continuous set to a countable set

    denotes the ceiling function). The essential property of a quantizer is having a countable set of possible output values smaller than the set of possible input

    Quantization (signal processing)

    Quantization (signal processing)

    Quantization_(signal_processing)

  • Negativity (quantum mechanics)
  • Measure of quantum entanglement in quantum mechanics

    measures. is additive on tensor products: E N ( ρ ⊗ σ ) = E N ( ρ ) + E N ( σ ) {\displaystyle E_{N}(\rho \otimes \sigma )=E_{N}(\rho )+E_{N}(\sigma )} is not

    Negativity (quantum mechanics)

    Negativity_(quantum_mechanics)

  • Pearson correlation coefficient
  • Measure of linear correlation

    with an additive normal noise (i.e., y= a + bx + e), then a standard error associated to the correlation is σ r ≈ 1 − r 2 n {\displaystyle \sigma _{r}\approx

    Pearson correlation coefficient

    Pearson correlation coefficient

    Pearson_correlation_coefficient

  • Subadditive set function
  • f} is subadditive. The maximum of additive set functions is subadditive (dually, the minimum of additive functions is superadditive). Formally, for each

    Subadditive set function

    Subadditive_set_function

  • Lifting theory
  • Notion in measure theory

    level sets of a function. Theorem. Suppose ( X , Σ , μ ) {\displaystyle (X,\Sigma ,\mu )} is complete. Then ( X , Σ , μ ) {\displaystyle (X,\Sigma ,\mu

    Lifting theory

    Lifting_theory

  • Generalized functional linear model
  • Mathematical model for stochastic processes

    {{Var}(Y\mid X)=\sigma ^{2}(\mu )}}} , as a function of the conditional mean, E ( Y ∣ X ) = μ {\displaystyle {\rm {{E}(Y\mid X)=\mu }}} . The link function g {\displaystyle

    Generalized functional linear model

    Generalized_functional_linear_model

  • Field with one element
  • Theoretical object in mathematics

    not zero. Deitmar suggested that F1 should be found by forgetting the additive structure of a ring and focusing on the multiplication. Toën and Vaquié

    Field with one element

    Field_with_one_element

  • Student's t-distribution
  • Probability distribution

    by chance. Therefore, the function A(t | ν) can be used when testing whether the difference between the means of two sets of data is statistically significant

    Student's t-distribution

    Student's t-distribution

    Student's_t-distribution

  • Regression analysis
  • Set of statistical processes for estimating the relationships among variables

    a function (regression function) of X i {\displaystyle X_{i}} and β {\displaystyle \beta } , with e i {\displaystyle e_{i}} representing an additive error

    Regression analysis

    Regression analysis

    Regression_analysis

  • Interval (mathematics)
  • All numbers between two given numbers

    {X}}-2\sigma _{\bar {X}}\leq \mu \leq {\bar {X}}+2\sigma _{\bar {X}})\approx 0.95.} If the value of the standard deviation σ X ¯ {\displaystyle \sigma _{\bar

    Interval (mathematics)

    Interval_(mathematics)

  • Vector measure
  • Generalization of finite measure to Banach spaces

    countably additive functions taking values respectively on the real interval [ 0 , ∞ ) , {\displaystyle [0,\infty ),} the set of real numbers, and the set of

    Vector measure

    Vector_measure

  • Pre-measure
  • Set function that is a precursor to a measure

    measure" and "set function", respectively. Outer measures are not, in general, measures, since they may fail to be σ {\displaystyle \sigma } -additive.) Hahn-Kolmogorov

    Pre-measure

    Pre-measure

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

    {\mu }}_{1},{\boldsymbol {\mu }}_{2},\Sigma _{1},\Sigma _{2}{\big )},} where the incomplete-data likelihood function is L ( θ ; x ) = ∏ i = 1 n ∑ j = 1 2

    Expectation–maximization algorithm

    Expectation–maximization algorithm

    Expectation–maximization_algorithm

  • Signed measure
  • Generalized notion of measure in mathematics

    (X,\Sigma )} (that is, a set X {\displaystyle X} with a σ-algebra Σ {\displaystyle \Sigma } on it), an extended signed measure is a set function μ : Σ

    Signed measure

    Signed_measure

  • Σ-finite measure
  • Concept in measure theory

    \mu } is called a σ {\displaystyle \sigma } -finite measure if the set X {\displaystyle X} is σ {\displaystyle \sigma } -finite. A finite measure, for instance

    Σ-finite measure

    Σ-finite_measure

  • Estimation theory
  • Branch of statistics to estimate models based on measured data

    {\displaystyle A} with additive white Gaussian noise (AWGN) w [ n ] {\displaystyle w[n]} with zero mean and known variance σ 2 {\displaystyle \sigma ^{2}} (i.e.

    Estimation theory

    Estimation_theory

  • Bochner integral
  • Concept in mathematics

    E\in \Sigma .} In particular, the set function E ↦ ∫ E f d μ {\displaystyle E\mapsto \int _{E}f\,\mathrm {d} \mu } defines a countably-additive B {\displaystyle

    Bochner integral

    Bochner_integral

  • Autoregressive model
  • Representation of a type of random process

    (X_{t+n}X_{t})-\mu ^{2}={\frac {\sigma _{\varepsilon }^{2}}{1-\varphi ^{2}}}\,\,\varphi ^{|n|}.} It can be seen that the autocovariance function decays with a decay

    Autoregressive model

    Autoregressive_model

  • Simplicial set
  • Mathematical construction used in homotopy theory

    simplicial set X are the images in that simplicial set of the morphisms σ n , 0 , … , σ n , n : [ n + 1 ] → [ n ] {\displaystyle \sigma ^{n,0},\dotsc ,\sigma ^{n

    Simplicial set

    Simplicial_set

  • Measure theory in topological vector spaces
  • Subject in mathematics

    {\displaystyle \nu :{\mathcal {E}}(X,G)\to \mathbb {R} +} is a σ-additive function, i.e. ν {\displaystyle \nu } is a measure. Let Γ ⊂ X ∗ {\displaystyle

    Measure theory in topological vector spaces

    Measure_theory_in_topological_vector_spaces

  • Principal component analysis
  • Method of data analysis

    \mathbf {\Sigma } ^{\mathsf {T}}\mathbf {U} ^{\mathsf {T}}\mathbf {U} \mathbf {\Sigma } \mathbf {W} ^{\mathsf {T}}\\&=\mathbf {W} \mathbf {\Sigma } ^{\mathsf

    Principal component analysis

    Principal component analysis

    Principal_component_analysis

  • List of Banach spaces
  • \Sigma } is a σ {\displaystyle \sigma } -algebra of sets. Ξ {\displaystyle \Xi } is an algebra of sets (for spaces only requiring finite additivity, such

    List of Banach spaces

    List_of_Banach_spaces

  • Nonlinear mixed-effects model
  • Class of statistical models

    _{ij}} is a random variable describing additive noise. An example of such a model with an exponential mean function fitted to longitudinal measurements of

    Nonlinear mixed-effects model

    Nonlinear_mixed-effects_model

  • Locally integrable function
  • Function which is integrable on its domain

    set in the Euclidean space R n {\textstyle \mathbb {R} ^{n}} and f : Ω → C {\textstyle f:\Omega \to {\mathbb {C}}} be a Lebesgue measurable function.

    Locally integrable function

    Locally_integrable_function

  • Flow plasticity theory
  • Solid mechanics theory

    {\displaystyle d{\boldsymbol {\sigma }}:{\frac {\partial f}{\partial {\boldsymbol {\sigma }}}}<0\,.} Strain decomposition: The additive decomposition of the strain

    Flow plasticity theory

    Flow plasticity theory

    Flow_plasticity_theory

  • Kullback–Leibler divergence
  • Mathematical statistics distance measure

    reality from a model may be estimated, to within a constant additive term, by a function of the deviations observed between data and the model's predictions

    Kullback–Leibler divergence

    Kullback–Leibler_divergence

  • Logarithm
  • Mathematical function, inverse of an exponential function

    Press, sections 1, 13, ISBN 978-0-691-14134-3 Devlin, Keith (2004), Sets, functions, and logic: an introduction to abstract mathematics, Chapman & Hall/CRC

    Logarithm

    Logarithm

    Logarithm

  • Abstract Wiener space
  • Mathematical construction relating to infinite-dimensional spaces

    extend to a countably additive measure on the σ {\displaystyle \sigma } -algebra generated by the collection of cylinder sets in H {\displaystyle H}

    Abstract Wiener space

    Abstract_Wiener_space

  • Complex measure
  • Measure with complex values

    {\displaystyle (X,\Sigma )} is a complex-valued function μ : Σ → C {\displaystyle \mu :\Sigma \to \mathbb {C} } that is sigma-additive. In other words,

    Complex measure

    Complex_measure

  • Stochastic differential equation
  • Differential equations involving stochastic processes

    ] → R n × m ; {\displaystyle \sigma :\mathbb {R} ^{n}\times [0,T]\to \mathbb {R} ^{n\times m};} be measurable functions for which there exist constants

    Stochastic differential equation

    Stochastic_differential_equation

  • Symmetric group
  • Type of group in abstract algebra

    over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular

    Symmetric group

    Symmetric group

    Symmetric_group

  • Butylated hydroxytoluene
  • Antioxidant

    categories in catalogues and databases, such as food additive, household product ingredient, industrial additive, personal care product and cosmetic ingredient

    Butylated hydroxytoluene

    Butylated hydroxytoluene

    Butylated_hydroxytoluene

  • Fisher information
  • Notion in statistics

    \theta _{m}}}\Sigma ^{-1}{\frac {\partial \mu }{\partial \theta _{n}}}+{\frac {1}{2}}\operatorname {tr} \left(\Sigma ^{-1}{\frac {\partial \Sigma }{\partial

    Fisher information

    Fisher information

    Fisher_information

  • Lebesgue integral
  • Method of mathematical integration

    simple function can be written in different ways as a linear combination of indicator functions, but the integral will be the same by the additivity of measures

    Lebesgue integral

    Lebesgue integral

    Lebesgue_integral

  • Absolute convergence
  • Mode of convergence of an infinite series

    real-valued function ‖ ⋅ ‖ : G → R + {\textstyle \|\cdot \|:G\to \mathbb {R} _{+}} on an abelian group G {\displaystyle G} (written additively, with identity

    Absolute convergence

    Absolute_convergence

  • Almost periodic function
  • Function that "converges" to periodicity

    not quasiperiodic. Additive synthesis Aperiodic function Computer music Fourier series Harmonic series (music) Quasiperiodic function Quasiperiodic tiling

    Almost periodic function

    Almost_periodic_function

  • Homomorphism
  • Structure-preserving map between two algebraic structures of the same type

    {\displaystyle \Sigma _{1}} and Σ 2 {\displaystyle \Sigma _{2}} , a function h : Σ 1 ∗ → Σ 2 ∗ {\displaystyle h\colon \Sigma _{1}^{*}\to \Sigma _{2}^{*}} such

    Homomorphism

    Homomorphism

  • Multiplicative noise
  • Signal processing phenomenon

    noise where the noise amplitude scales with the signal's intensity. Unlike additive noise, which is independent of the signal, multiplicative noise complicates

    Multiplicative noise

    Multiplicative_noise

  • Functional data analysis
  • Branch of statistics mathematics

    {\displaystyle \mu } and Σ {\displaystyle \Sigma } are continuous functions and then the covariance function Σ {\displaystyle \Sigma } defines a covariance operator

    Functional data analysis

    Functional_data_analysis

  • Entanglement of formation
  • Definition in quantum information theory

    to be a non-additive measure of entanglement. That is, there are bipartite quantum states ρ A B , σ A B {\displaystyle \rho _{AB},\sigma _{AB}} such that

    Entanglement of formation

    Entanglement_of_formation

  • SHA-2
  • Set of cryptographic hash functions

    SHA-512 are hash functions whose digests are eight 32-bit and 64-bit words, respectively. They use different shift amounts and additive constants, but their

    SHA-2

    SHA-2

    SHA-2

  • Measurable cardinal
  • Set theory concept

    exists a κ {\displaystyle \kappa } -additive, non-trivial, 0-1-valued measure μ {\displaystyle \mu } on the power set of κ {\displaystyle \kappa } . Here

    Measurable cardinal

    Measurable_cardinal

  • Outer measure
  • Mathematical function

    of measurable sets and countably additive measures. Carathéodory's work on outer measures found many applications in measure-theoretic set theory (outer

    Outer measure

    Outer_measure

  • Mathematical Foundations of Quantum Mechanics
  • 1932 book by John von Neumann

    recover additivity when averaging over the hidden parameters. For example, for a spin-1/2 system, measurements of ( σ x + σ y ) {\displaystyle (\sigma _{x}+\sigma

    Mathematical Foundations of Quantum Mechanics

    Mathematical_Foundations_of_Quantum_Mechanics

  • Atom (measure theory)
  • Minimal measurable set with positive measure

    {\displaystyle (X,\Sigma )} and a measure μ {\displaystyle \mu } on that space, a set A ⊂ X {\displaystyle A\subset X} in Σ {\displaystyle \Sigma } is called

    Atom (measure theory)

    Atom_(measure_theory)

  • Symmetrization methods
  • Mathematical algorithms

    {\displaystyle St(x+\lambda \Omega )=St(x)+\lambda St(\Omega )} . Super-additive: S t ( K ) + S t ( U ) ⊂ S t ( K + U ) {\displaystyle St(K)+St(U)\subset

    Symmetrization methods

    Symmetrization_methods

  • Glossary of mathematical symbols
  • disjoint union of sets. −    (minus sign) 1.  Denotes subtraction and is read as minus; for example, 3 − 2. 2.  Denotes the additive inverse and is read

    Glossary of mathematical symbols

    Glossary_of_mathematical_symbols

  • Monoid
  • Algebraic structure with an associative operation and an identity element

    in several branches of mathematics. The functions from a set into itself form a monoid with respect to function composition. More generally, in category

    Monoid

    Monoid

    Monoid

  • Second-order logic
  • Form of logic that allows quantification over predicates

    excluded middle). Second-order logic also includes quantification over sets, functions, and other variables (see section below). Both first-order and second-order

    Second-order logic

    Second-order_logic

  • Bayesian information criterion
  • Criterion for model selection

    The BIC is an increasing function of the error variance σ e 2 {\displaystyle \sigma _{e}^{2}} and an increasing function of k. That is, unexplained

    Bayesian information criterion

    Bayesian_information_criterion

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  • SET-KHERTA
  • Female

    Egyptian

    SET-KHERTA

    , a sister of Sekherta.

    SET-KHERTA

  • Silma
  • Girl/Female

    Arabic, Muslim

    Silma

    Peace

    Silma

  • Sima
  • Girl/Female

    Hindu

    Sima

    Boundary, Border

    Sima

  • SEB-TET
  • Female

    Egyptian

    SEB-TET

    , an uncertain goddess.

    SEB-TET

  • Sigga
  • Girl/Female

    British, Danish, English, German, Swedish

    Sigga

    Powerful Silence; Peaceful Victory

    Sigga

  • SHET
  • Male

    Hebrew

    SHET

    Variant spelling of Hebrew Sheth, SHET means "buttocks."

    SHET

  • SET-KHONSU
  • Female

    Egyptian

    SET-KHONSU

    , a sister of Sekherta.

    SET-KHONSU

  • Sima
  • Girl/Female

    Scottish

    Sima

    Listener.

    Sima

  • SETH
  • Male

    English

    SETH

    Anglicized form of Hebrew Sheth, SETH means "buttocks." In the bible, this is the name of the third son of Adam and Eve. Compare with other forms of Seth.

    SETH

  • Signa
  • Girl/Female

    Latin

    Signa

    Sign.

    Signa

  • 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

  • Sea
  • Surname or Lastname

    English

    Sea

    English : variant spelling of See.

    Sea

  • Set
  • Boy/Male

    Egyptian Hebrew Swedish

    Set

    Son of Seb and Nut.

    Set

  • SigMt
  • Boy/Male

    Norse

    SigMt

    Victorious defender.

    SigMt

  • BET
  • Female

    English

    BET

    Short form of English Elizabeth, BET means "God is my oath." 

    BET

  • STE
  • Male

    English

    STE

    Short form of English Stephen, STE means "crown."

    STE

  • 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

  • SETH
  • Male

    Hindi/Indian

    SETH

    (सेठ) Hindi name derived from the Sanskrit word setu, SETH means "bridge." Compare with other forms of Seth.

    SETH

  • Signa
  • Girl/Female

    Danish, German, Latin, Scandinavian, Swedish

    Signa

    Sign; Signal; Victory

    Signa

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Online names & meanings

  • Himam
  • Boy/Male

    Arabic, Hindu, Indian

    Himam

    Destiny

  • Zala
  • Girl/Female

    Indian

    Zala

    Shiny-ness

  • AGNESSA
  • Female

    Russian

    AGNESSA

    (Агне́сса) Russian form of Greek Hagne, AGNESSA means "chaste; holy."

  • Vishika
  • Girl/Female

    Hindu, Indian

    Vishika

    Lamp; Stars

  • Marvel
  • Surname or Lastname

    English

    Marvel

    English : nickname for a person considered prodigious in some way, from Middle English, Old French merveille ‘miracle’ (Latin mirabilia, originally neuter plural of the adjective mirabilis ‘admirable’, ‘amazing’). The nickname was no doubt sometimes given with mocking intent.English : habitational name, from places called Merville. The one in Nord is named from Old French mendre ‘smaller’, ‘lesser’ (Latin minor) + ville ‘settlement’; that in Calvados seems to have as its first element a Germanic personal name, probably a short form of a compound name with the first element mari, meri ‘famous’.

  • Paak
  • Boy/Male

    Hindu

    Paak

    Innocent

  • Nazih
  • Boy/Male

    Muslim/Islamic

    Nazih

    Pure chaste

  • Shillan
  • Girl/Female

    Arabic, Muslim

    Shillan

    A Flower

  • Sherinder
  • Boy/Male

    Indian, Punjabi, Sikh

    Sherinder

    Lion King

  • Fitzsimon
  • Boy/Male

    British, English

    Fitzsimon

    Son of Simon

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Other words and meanings similar to

SIGMA ADDITIVE-SET-FUNCTION

AI search in online dictionary sources & meanings containing SIGMA ADDITIVE-SET-FUNCTION

SIGMA ADDITIVE-SET-FUNCTION

  • Set
  • v. i.

    To fit or suit one; to sit; as, the coat sets well.

  • Redditive
  • a.

    Answering to an interrogative or inquiry; conveying a reply; as, redditive words.

  • Sigmas
  • pl.

    of Sigma

  • Set
  • n.

    That which is set, placed, or fixed.

  • Stigmas
  • pl.

    of Stigma

  • Sett
  • n.

    See Set, n., 2 (e) and 3.

  • Sigma
  • n.

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

  • 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.

  • Set
  • v. t.

    To compose; to arrange in words, lines, etc.; as, to set type; to set a page.

  • Stoma
  • n.

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

  • Set
  • imp. & p. p.

    of Set

  • Set
  • v. t.

    To cause to sit; to make to assume a specified position or attitude; to give site or place to; to place; to put; to fix; as, to set a house on a stone foundation; to set a book on a shelf; to set a dish on a table; to set a chest or trunk on its bottom or on end.

  • Addititious
  • a.

    Additive.

  • Addition
  • n.

    Anything added; increase; augmentation; as, a piazza is an addition to a building.

  • Adoptive
  • a.

    Pertaining to adoption; made or acquired by adoption; fitted to adopt; as, an adoptive father, an child; an adoptive language.

  • Yet
  • adv.

    In addition; further; besides; over and above; still.

  • Set
  • a.

    Established; prescribed; as, set forms of prayer.

  • Set
  • a.

    Regular; uniform; formal; as, a set discourse; a set battle.

  • Set
  • a.

    Fixed in position; immovable; rigid; as, a set line; a set countenance.

  • Stigmata
  • pl.

    of Stigma