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searching for Weight function 74 found (103 total)

alternate case: weight function

Dirichlet boundary condition (435 words) [view diff] exact match in snippet view article find links to article

differential equation. The dependent unknown u in the same form as the weight function w appearing in the boundary expression is termed a primary variable
Local regression (5,830 words) [view diff] exact match in snippet view article find links to article
is formalized with a bandwidth h {\displaystyle h} and a kernel or weight function W ( ⋅ ) {\displaystyle W(\cdot )} , with observations assigned weights
WACA clustering algorithm (146 words) [view diff] exact match in snippet view article find links to article
(Weighted Application-aware Clustering Algorithm) uses a heuristic weight function for self-organized cluster creation. The election of clusterheads is
Stieltjes–Wigert polynomials (534 words) [view diff] exact match in snippet view article find links to article
hypergeometric orthogonal polynomials in the basic Askey scheme, for the weight function w ( x ) = k π x − 1 / 2 exp ⁡ ( − k 2 log 2 ⁡ x ) {\displaystyle w(x)={\frac
Hierarchical clustering of networks (541 words) [view diff] exact match in snippet view article find links to article
arranges the network into a hierarchy of groups according to a specified weight function. The data can then be represented in a tree structure known as a dendrogram
Calculus of predispositions (567 words) [view diff] exact match in snippet view article find links to article
elements distinguish the modified weight function from the criterion of optimality: First and foremost, the weight function includes not only material parameters
Orthogonal polynomials (2,079 words) [view diff] exact match in snippet view article find links to article
line (where x1 = −∞ and x2 = ∞ are allowed). Such a W is called a weight function. Then the inner product is given by ⟨ f , g ⟩ = ∫ x 1 x 2 f ( x ) g
Clenshaw–Curtis quadrature (4,362 words) [view diff] exact match in snippet view article find links to article
integrating an arbitrary f ( x ) {\displaystyle f(x)} against a fixed weight function w ( x ) {\displaystyle w(x)} that is known ahead of time: ∫ − 1 1 f
Beurling algebra (240 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \sum _{k\geq 0}c_{k}<\infty .} Example We may consider a weight function w on Z {\displaystyle \mathbb {Z} } such that w ( m + n ) ≤ w ( m )
Distribution (number theory) (1,222 words) [view diff] exact match in snippet view article
{\displaystyle w(m,n)\sum _{y\mapsto x}\phi (y)=\phi (x)} for some weight function w. The family φ is then a distribution on the projective system X.
Matroid-constrained number partitioning (974 words) [view diff] exact match in snippet view article find links to article
a subset. In a more general variant, each of the m matroids has a weight function, which assigns a weight to each element of the ground-set. Various
Gauss–Jacobi quadrature (537 words) [view diff] exact match in snippet view article find links to article
quadrature. Gauss–Jacobi quadrature uses ω(x) = (1 − x)α (1 + x)β as the weight function. The corresponding sequence of orthogonal polynomials consist of Jacobi
Weighted matroid (1,652 words) [view diff] exact match in snippet view article find links to article
elements and I is the family of independent set. A weighted matroid has a weight function w : E → R + {\displaystyle w:E\rightarrow \mathbb {R} ^{+}} for assigns
QUADPACK (725 words) [view diff] exact match in snippet view article find links to article
G General integrand W Weight function of specified form
V-statistic (1,401 words) [view diff] exact match in snippet view article find links to article
(F(x)-F_{0}(x))^{2}\,w(x;F_{0})\,dF_{0}(x),} where w(x; F0) is a specified weight function and F0 is a specified null distribution. If w is the identity function
Discrete orthogonal polynomials (278 words) [view diff] exact match in snippet view article find links to article
= { s 0 , s 1 , … } {\displaystyle S=\{s_{0},s_{1},\dots \}} with weight function ω ( x ) {\displaystyle \omega (x)} . A family of orthogonal polynomials
Predispositioning theory (2,331 words) [view diff] exact match in snippet view article find links to article
elements distinguish the modified weight function from the criterion of optimality: First and foremost, the weight function includes not only material parameters
Meixner–Pollaczek polynomials (791 words) [view diff] exact match in snippet view article find links to article
polynomials Pm(λ)(x;φ) are orthogonal on the real line with respect to the weight function w ( x ; λ , ϕ ) = | Γ ( λ + i x ) | 2 e ( 2 ϕ − π ) x {\displaystyle
Round-robin item allocation (1,846 words) [view diff] exact match in snippet view article find links to article
algorithm is called RWAV (round-robin with weighted approval voting). The weight function w(r,s) is determined based on an auxiliary function B(r,s), defined
Discrete Chebyshev polynomials (1,207 words) [view diff] exact match in snippet view article find links to article
two polynomials of unequal degree are orthogonal with respect to the weight function w ( x ) = ∑ r = 0 N − 1 δ ( x − r ) , {\displaystyle w(x)=\sum _{r=0}^{N-1}\delta
Mehler kernel (3,571 words) [view diff] exact match in snippet view article find links to article
of Hermite polynomials H ( ⋅ ) {\displaystyle H(\cdot )} based on weight function exp ⁡ ( − x 2 ) {\displaystyle \exp(-x^{2})} as E ( x , y ) = ∑ n =
Importance sampling (3,973 words) [view diff] exact match in snippet view article find links to article
does not include the extra computing time required to compute the weight function. Hence, some people evaluate the net run-time improvement by various
Anderson–Darling test (2,349 words) [view diff] exact match in snippet view article find links to article
{2}}{F(x)\left(1-F(x)\right)}}\,dF(x),} which is obtained when the weight function is w ( x ) = [ F ( x ) ( 1 − F ( x ) ) ] − 1 {\displaystyle
Knaster–Kuratowski–Mazurkiewicz lemma (2,396 words) [view diff] exact match in snippet view article find links to article
subsets of [ n ] {\displaystyle [n]} is called balanced if there is a weight function on B {\displaystyle B} (assigning a weight w J ≥ 0 {\displaystyle w_{J}\geq
Disability-adjusted life year (3,010 words) [view diff] exact match in snippet view article find links to article
DALYs. Perinatal conditions, which affect infants with a very low age-weight function, are the leading cause of lost DALYs at 90.48 million. Measles is fifteenth
Classical orthogonal polynomials (6,139 words) [view diff] exact match in snippet view article find links to article
polynomials (for which the interval of orthogonality is [−1, 1] and the weight function is simply 1): P 0 ( x ) = 1 , P 1 ( x ) = x , P 2 ( x ) = 3 x 2 − 1
Favard's theorem (382 words) [view diff] exact match in snippet view article find links to article
If this is a sequence of orthogonal polynomials for some positive weight function then it satisfies a 3-term recurrence relation. Favard's theorem is
Auxiliary-field Monte Carlo (625 words) [view diff] exact match in snippet view article find links to article
ranges of the model under consideration, the oscillatory nature of the weight function can lead to a bad statistical convergence of the numerical integration
Hypercomputation (3,369 words) [view diff] exact match in snippet view article find links to article
neural net that somehow had Chaitin's constant exactly embedded in its weight function would be able to solve the halting problem, but is subject to the same
Weighted automaton (1,691 words) [view diff] exact match in snippet view article find links to article
{\displaystyle I:Q\to R} is an initial weight function. F : Q → R {\displaystyle F:Q\to R} is a final weight function. A path on input w ∈ Σ ∗ {\displaystyle
Romanovski polynomials (1,982 words) [view diff] exact match in snippet view article find links to article
hypergeometric ordinary differential equation. For α = 0 and β < 0, the weight function of the Romanovski polynomials takes the shape of the Cauchy distribution
Iwahori–Hecke algebra (2,078 words) [view diff] exact match in snippet view article find links to article
common to only look at one-parameter Hecke algebras. If an integral weight function is defined on W (i.e., a map L: W → Z with L(vw) = L(v) + L(w) for
Weighing scale (5,299 words) [view diff] exact match in snippet view article find links to article
various applications such as batching, labeling, filling (with check weight function), truck scales, and more. Another important function is counting, e
Minimum-cost flow problem (1,239 words) [view diff] exact match in snippet view article find links to article
cardinality matching in G that has minimum cost. Let w: E → R be a weight function on the edges of E. The minimum weight bipartite matching problem or
Maximum flow problem (5,228 words) [view diff] exact match in snippet view article find links to article
algorithm by introducing the weighted variant. The paper establishes a weight function on directed and acyclic graphs (DAG), and attempts to imitate it on
Random forest (6,483 words) [view diff] exact match in snippet view article find links to article
x' by looking at the "neighborhood" of the point, formalized by a weight function W: y ^ = ∑ i = 1 n W ( x i , x ′ ) y i . {\displaystyle {\hat {y}}=\sum
Chebyshev polynomials (10,713 words) [view diff] exact match in snippet view article find links to article
\\[5mu]{\frac {N}{2}}&{\text{ if }}~i=j,\end{cases}}} and without the weight function: ∑ k = 0 N − 1 U i ( x k ) U j ( x k ) = { 0    if    i ≢ j ( mod 2
Pseudo-spectral method (2,505 words) [view diff] exact match in snippet view article find links to article
p(x)} of degree 2 N + 1 {\displaystyle 2N+1} or less. Typically, the weight function w ( x ) {\displaystyle w(x)} and ranges a , b {\displaystyle a,b} are
Hermite class (1,123 words) [view diff] exact match in snippet view article find links to article
Charles Hermite. A de Branges space can be defined on the basis of some "weight function" of Hermite class, but with the additional stipulation that the inequality
Reverse-delete algorithm (1,154 words) [view diff] exact match in snippet view article find links to article
tree . we have three cases for the edges "e" and " f ". wt is the weight function. wt( f ) < wt( e ) this is impossible since this causes the weight
Genetic algebra (1,121 words) [view diff] exact match in snippet view article find links to article
special train algebra is a baric algebra in which the kernel N of the weight function is nilpotent and the principal powers of N are ideals. Etherington
Shortest path problem (4,764 words) [view diff] exact match in snippet view article find links to article
{\displaystyle v_{i}} and v j {\displaystyle v_{j}} . Given a real-valued weight function f : E → R {\displaystyle f:E\rightarrow \mathbb {R} } , and an undirected
Hilbert space (17,469 words) [view diff] exact match in snippet view article find links to article
is called the weighted L2 space L2 w([0, 1]), and w is called the weight function. The inner product is defined by ⟨ f , g ⟩ = ∫ 0 1 f ( t ) g ( t )
Watershed (image processing) (1,882 words) [view diff] exact match in snippet view article
al. that when the markers of the IFT corresponds to extrema of the weight function, the cut induced by the forest is a watershed cut. The random walker
Wave function (13,587 words) [view diff] exact match in snippet view article find links to article
different solutions, the strictly positive function w is called a weight function, and δmn is the Kronecker delta. The integration is taken over all
Montgomery's pair correlation conjecture (1,296 words) [view diff] exact match in snippet view article find links to article
> 2 , α ∈ R {\displaystyle T>2,\;\alpha \in \mathbb {R} } and some weight function w ( u ) := 4 ( 4 + u 2 ) {\displaystyle w(u):={\tfrac {4}{(4+u^{2})}}}
Food Chemicals Codex (2,083 words) [view diff] no match in snippet view article find links to article
monographs, which include chemical formula and structure, chemical weight, function, definition, packaging and storage, labelling requirements, test procedures
Finite subdivision rule (2,724 words) [view diff] exact match in snippet view article find links to article
modulus of a ring. They are defined by the use of weight functions. A weight function ρ {\displaystyle \rho } assigns a non-negative number called a weight
Dirichlet series (5,354 words) [view diff] exact match in snippet view article find links to article
Moreover, if (A, u) and (B, v) are two weighted sets, and we define a weight function w: A × B → N by w ( a , b ) = u ( a ) v ( b ) , {\displaystyle w(a
Galves–Löcherbach model (3,029 words) [view diff] exact match in snippet view article find links to article
factor α i [ r , s ] {\displaystyle \alpha _{i}[r,s]} is a history weight function that modulates the contributions of firings that happened r {\displaystyle
Sturm–Liouville theory (4,722 words) [view diff] exact match in snippet view article find links to article
appropriate Hilbert space of functions with inner product defined using the weight function. Sturm–Liouville theory studies the existence and asymptotic behavior
Legendre polynomials (7,177 words) [view diff] exact match in snippet view article find links to article
polynomials are defined as an orthogonal system with respect to the weight function w ( x ) = 1 {\displaystyle w(x)=1} over the interval [ − 1 , 1 ] {\displaystyle
Intrinsic flat distance (894 words) [view diff] exact match in snippet view article find links to article
charts from compact subsets of Rm, it is endowed with an integer valued weight function and it has an orientation. In addition an integral current space has
Fractional calculus (7,989 words) [view diff] exact match in snippet view article find links to article
}f'(u)\,du\right]\,d\nu \end{aligned}}} where ϕ(ν) is a weight function and which is used to represent mathematically the presence of multiple
Donaldson–Thomas theory (1,324 words) [view diff] exact match in snippet view article find links to article
moduli space M is equal to the weighted Euler characteristic of M. The weight function associates to every point in M an analogue of the Milnor number of
Orthogonal polynomials on the unit circle (1,095 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \mu } form an absolutely convergent series and the weight function w {\displaystyle w} is strictly positive everywhere. For any nontrivial
Spherical harmonics (12,484 words) [view diff] exact match in snippet view article find links to article
f square-integrable with respect to the normal distribution as the weight function on R3: 1 ( 2 π ) 3 / 2 ∫ R 3 | f ( x ) | 2 e − | x | 2 / 2 d x < ∞
Continuous Hahn polynomials (1,447 words) [view diff] exact match in snippet view article find links to article
Hahn polynomials pn(x;a,b,c,d) are orthogonal with respect to the weight function w ( x ) = Γ ( a + i x ) Γ ( b + i x ) Γ ( c − i x ) Γ ( d − i x )
Mesh generation (5,322 words) [view diff] exact match in snippet view article find links to article
Generators with control function based on the equidistribution of the weight function with the diffusion set as a multiple of desired cell volume. The equidistribution
Schur orthogonality relations (2,618 words) [view diff] exact match in snippet view article find links to article
parameters, but also the final result, i.e. the analytic form of the weight function (measure) ω ( x ) {\displaystyle \omega (\mathbf {x} )} . For instance
Distance correlation (3,859 words) [view diff] exact match in snippet view article find links to article
dimension of X and Y, and thus of s and t, and cp, cq are constants. The weight function ( c p c q | s | p 1 + p | t | q 1 + q ) − 1 {\displaystyle
Rice's whale (7,233 words) [view diff] exact match in snippet view article find links to article
diagnostic rostral ridges was never documented. When using a length-weight function developed by Ohsumi (1980), a 12.65-meter (41.5 ft) length would correspond
Goldston–Pintz–Yıldırım sieve (1,825 words) [view diff] exact match in snippet view article find links to article
have to choose the weight function w ( n ) {\displaystyle w(n)} so that we can detect prime k-tuples. A candidate for the weight function is the generalized
Maximum score estimator (2,033 words) [view diff] exact match in snippet view article find links to article
asymptotic properties. The basic idea is to replace the non-smoothed weight function W ( ∑ j ∈ C , j ≠ i 1 ( x t , i b > x t , j b ) ) {\displaystyle \textstyle
Lippmann–Schwinger equation (2,565 words) [view diff] exact match in snippet view article find links to article
time-uncertainty of the interaction, while that in the wavepackets weight function reflects the duration of the interaction. Both of these varieties of
Ulam–Warburton automaton (1,507 words) [view diff] exact match in snippet view article find links to article
3^{wt(n-1)-1}} where w t ( n ) {\displaystyle wt(n)} is the Hamming weight function which counts the number of 1's in the binary expansion of n {\displaystyle
Multiple instance learning (5,479 words) [view diff] exact match in snippet view article find links to article
{\displaystyle w:{\mathcal {X}}\rightarrow \mathbb {R} ^{+}} is a weight function over instances and w B = ∑ x ∈ B w ( x ) {\displaystyle w_{B}=\sum
Quantum inequalities (1,878 words) [view diff] exact match in snippet view article find links to article
flat universe (Minkowski space). The QEIs depend on two key things: A weight function, which is like a mathematical tool to focus on specific areas. The
Gravitational lensing formalism (5,185 words) [view diff] exact match in snippet view article find links to article
y-{\bar {y}})I(x,y)}}} Here w ( x , y )   {\displaystyle w(x,y)~} is a weight function that typically goes to zero or quickly approaches zero at some finite
Chiral Potts model (2,276 words) [view diff] exact match in snippet view article find links to article
year. The model is called self-dual if the Fourier transform of the weight function returns the same function. A special (genus 1) case had been solved
K-stability (8,333 words) [view diff] exact match in snippet view article find links to article
\bigwedge ^{n}V} where n = dim ⁡ V {\displaystyle n=\dim V} . Define the weight function of the test configuration ( X , L ) {\displaystyle ({\mathcal {X}}
Random permutation statistics (11,998 words) [view diff] exact match in snippet view article find links to article
N → R {\displaystyle b:\mathbb {N} \rightarrow \mathbb {R} } is a weight function that depends only on the size k of the cycle and for brevity we write
Ball covariance (2,438 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \omega =\left(\omega _{1},\omega _{2}\right)} be the positive weight function on the support set of θ {\displaystyle \theta } . Then, the population
Light-front computational methods (11,024 words) [view diff] exact match in snippet view article find links to article
{\displaystyle k=(k_{1}-k_{2})/2} is the relative four-momentum. The Nakanishi weight function g ( γ , z ) {\displaystyle g(\gamma ,z)} is found from an equation