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searching for Polynomial expansion 25 found (33 total)

alternate case: polynomial expansion

Bounded expansion (982 words) [view diff] exact match in snippet view article find links to article

have bounded expansion. A closely related but stronger property, polynomial expansion, is equivalent to the existence of separator theorems for these families
Polynomial regression (2,418 words) [view diff] exact match in snippet view article find links to article
regression. The explanatory (independent) variables resulting from the polynomial expansion of the "baseline" variables are known as higher-degree terms. Such
Lidstone series (289 words) [view diff] exact match in snippet view article find links to article
Lidstone series, named after George James Lidstone, is a kind of polynomial expansion that can express certain types of entire functions. Let ƒ(z) be an
Wiener series (1,191 words) [view diff] exact match in snippet view article find links to article
series and having the same relation to it as an orthogonal Hermite polynomial expansion has to a power series. For this reason it is also known as the Wiener–Hermite
Shallow minor (857 words) [view diff] exact match in snippet view article find links to article
and is bounded by a polynomial, the graph family is said to have polynomial expansion. As Plotkin, Rao & Smith (1994) showed, graphs with excluded shallow
String graph (1,147 words) [view diff] exact match in snippet view article find links to article
have O ( n ) {\displaystyle O(n)} edges and more strongly have polynomial expansion. Graham (1976). Kratochvil (1991b) showed string graph recognition
Planar separator theorem (10,072 words) [view diff] exact match in snippet view article find links to article
can be formalized and quantified by the concepts of treewidth and polynomial expansion. As it is usually stated, the separator theorem states that, in any
Hermite polynomials (12,129 words) [view diff] no match in snippet view article find links to article
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets
Ultradian rhythm (480 words) [view diff] exact match in snippet view article find links to article
the cycle again. The line is a fitted curve to the experimental data, using polynomial expansion, in order to show the periodic behavior of the data.
Partial fraction decomposition (7,008 words) [view diff] exact match in snippet view article find links to article
above partial fraction decomposition implies, for each 1 ≤ i ≤ r, a polynomial expansion P Q i = A i + O ( ( x − λ i ) ν i ) , for  x → λ i , {\displaystyle
Gegenbauer polynomials (1,829 words) [view diff] exact match in snippet view article find links to article
}{|\mathbf {x} ||\mathbf {y} |}}).} When n = 3, this gives the Legendre polynomial expansion of the gravitational potential. Similar expressions are available
Linear-nonlinear-Poisson cascade model (881 words) [view diff] exact match in snippet view article find links to article
models approximate a neuron's input-output characteristics using a polynomial expansion analogous to the Taylor series, but do not explicitly specify the
Involute (2,903 words) [view diff] exact match in snippet view article find links to article
which is a cusp of order 5/2. Explicitly, one may solve for the polynomial expansion satisfied by x , y {\displaystyle x,y} : ( x − L + y 2 2 L ) 2 −
Protein chemical shift prediction (1,425 words) [view diff] exact match in snippet view article find links to article
CAMSHIFT Distance-based method in combination with parameterized polynomial expansion https://web.archive.org/web/20140109151911/http://www-vendruscolo
Non-linear least squares (4,539 words) [view diff] exact match in snippet view article find links to article
the model is linearized by approximation to a first-order Taylor polynomial expansion about β k {\displaystyle {\boldsymbol {\beta }}^{k}} f ( x i , β
Chebyshev polynomials (10,712 words) [view diff] exact match in snippet view article find links to article
"Near-minimax complex approximation by four kinds of Chebyshev polynomial expansion", J. Comput. Appl. Math., 46 (1–2): 291–300, doi:10.1016/0377-0427(93)90303-S
Window function (8,656 words) [view diff] exact match in snippet view article find links to article
family of adjustable window functions that are based on a symmetrical polynomial expansion of order K {\displaystyle K} . It is continuous with continuous derivative
Glossary of graph theory (16,011 words) [view diff] exact match in snippet view article find links to article
have a ratio of edges to vertices bounded by a function of r, and polynomial expansion if the function of r is a polynomial. face In a plane graph or graph
Volterra series (4,305 words) [view diff] exact match in snippet view article find links to article
output node, a j i {\displaystyle a_{ji}} the coefficients of the polynomial expansion of the output function of the hidden nodes, and ω j i {\displaystyle
Chapman–Enskog theory (4,882 words) [view diff] exact match in snippet view article find links to article
inhomogeneous integral equation that can be solved explicitly by a polynomial expansion. Here, the colon denotes the double dot product, T : T ′ = ∑ i ∑
Murugesapillai Maheswaran (1,851 words) [view diff] exact match in snippet view article find links to article
contributions included (i) the development of a second order Lagrange Polynomial expansion method to study circulations in rotating stars (ii) computations
Murnaghan equation of state (2,441 words) [view diff] exact match in snippet view article find links to article
infinity. In fact, this is an inevitable contradiction whatever polynomial expansion is chosen because there will always be a dominant term that diverges
Goat grazing problem (4,547 words) [view diff] exact match in snippet view article find links to article
approximately by iterative substitution of φ {\displaystyle \varphi } , polynomial expansion of tan − 1 {\displaystyle \tan ^{-1}} , or an approximation method
Multidimensional digital pre-distortion (2,841 words) [view diff] exact match in snippet view article find links to article
((9)), and ((10)) are the out-of-band terms that come from the polynomial expansion also done in the traditional 1D DPD manner. Equations ((11)) and
Product operator formalism (5,744 words) [view diff] exact match in snippet view article find links to article
Nielsen, Niels Chr. (2004). "Exact effective Hamiltonian theory. II. Polynomial expansion of matrix functions and entangled unitary exponential operators"