Search Results: Multiindex notation


Multi-index notation
Senin, 2023-09-11 03:57:58

Multi-index notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory...

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Pandas (software)
Selasa, 2026-05-19 21:29:14

hierarchical indices with multiple values per data point through the "MultiIndex" class. MultiIndex objects allow a single DataFrame to represent multiple dimensions...

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Noether's second theorem
Kamis, 2026-05-28 11:37:38

summation convention apply to them. Multiindex notation for the Latin indices is also introduced as follows. A multiindex I {\textstyle I} of length k {\textstyle...

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MoFEM JosePH
Kamis, 2026-02-12 22:27:12

high-performance computing. MoFEM is the blend of the Boost (C++ libraries) MultiIndex containers, MOAB (Mesh Oriented Database) and PETSc (Portable, Extensible...

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Multiple orthogonal polynomials
Selasa, 2026-02-17 02:45:07

not be confused with multivariate orthogonal polynomials. Consider a multiindex n → = ( n 1 , … , n r ) ∈ N r {\displaystyle {\vec {n}}=(n_{1},\dots ...

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Andreotti–Norguet formula
Selasa, 2025-05-27 01:00:09

Precisely, this formula express the value of the partial derivative of any multiindex order of a holomorphic function of several variables, in any interior...

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D-module
Jumat, 2026-05-01 05:06:32

combinations of differential operators xα∂β with |α| + |β| ≤ p (using multiindex notation). The associated graded ring is seen to be isomorphic to the...

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Cauchy's estimate
Senin, 2025-12-29 17:12:00

_{j=1}^{n}B(a_{j},r_{j})\subset \mathbb {C} ^{n}} , we have: for each multiindex α ∈ N n {\displaystyle \alpha \in \mathbb {N} ^{n}} , | ( ∂ ∂ z α f )...

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String kernel
Minggu, 2025-11-09 03:23:11

subsequences can occur in a non-contiguous manner, but gaps are penalized. The multiindex i {\displaystyle \mathbf {i} } gives the positions of the characters matching...

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Bramble–Hilbert lemma
Selasa, 2026-01-20 17:03:03

\alpha =\left(\alpha _{1},\alpha _{2},\ldots ,\alpha _{n}\right)} is a multiindex, | α | = {\displaystyle \textstyle \left\vert \alpha \right\vert =} α...

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