Results 51 to 60 of about 32,828 (201)
Möbius inversion formula for the trace group [PDF]
, 2003 A trace group (monoid) is the quotient of a free group (monoid) by relations of commutation between some pairs of generators. We prove an analog for the trace group of the Möbius inversion formula for the trace monoid (Cartier and Foata, 1969)
Jean Mairesse +3 more
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Inversion Formulae on Permutations Avoiding 321 [PDF]
The Electronic Journal of Combinatorics, 2015 We will study the inversion statistic of $321$-avoiding permutations, and obtain that the number of $321$-avoiding permutations on $[n]$ with $m$ inversions is given by\[|\mathcal {S}_{n,m}(321)|=\sum_{b \vdash m}{n-\frac{\Delta(b)}{2}\choose l(b)}.\]where the sum runs over all compositions $b=(b_1,b_2,\ldots,b_k)$ of $m$, i.e.,\[m=b_1+b_2+\cdots+b_k ...
Pingge Chen, Zhousheng Mei, Suijie Wang
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The (f,g)-inversion formula and its applications: The (f,g)-summation formula
, 2007 A characterization of the two functions f(x,y) and g(x,y) in the (f,g)-inversion is presented. As an application to the theory of hypergeometric series, a general bibasic summation formula determined by such two functions f(x,y) and g(x,y) as well as ...
Ma, Xinrong
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An Exact Inversion Formula For Cone Beam Vector Tomography
, 2013 In this paper, we present an exact inversion formula for the cone beam transform of vector fields. This transform is the mathematical model for vector tomography with cone beam data.
Schuster, Thomas, Katsevich, Alexander
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An ATpV Regularization Pre-Stack Three-Parameter Inversion Method Based on Weighted Lp
IEEE AccessAccurate inversion of AVO tri-parameters (Vp, Vs, $\rho $ ) is critical for reservoir characterization and hydrocarbon exploration. Conventional pre-stack inversion methods often have ill-posedness and poor stratigraphic boundary preservation, and ...
Shuang Zhao +4 more
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Deep Convolutional Neural Network With Attention Module for Seismic Impedance Inversion
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 Seismic inversion is an approach to obtain the physical properties of the Earth layers from the seismic data, which aids in reservoir characterization. In seismic inversion, spatially variable physical parameters, such as impedance ($Z$), wave velocities
Vineela Chandra Dodda +4 more
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A short proof of the Fourier inversion formula
, 1976 We give an elementary proof of the Fourier inversion formula (on the real line) based on the Poisson summation formula.
Alain Robert
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Applied SciencesTo overcome the limitations of gravity inversion methods in fault inversion, this paper proposed a constrained adaptive weighted particle swarm optimization algorithm.
Shiquan Su +4 more
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The inversion formula and 6j symbol for 3d fermions
Journal of High Energy Physics, 2020 In this work we study the 6j symbol of the 3d conformal group for fermionic operators. In particular, we study 4-point functions containing two fermions and two scalars and also those with four fermions.
Soner Albayrak +2 more
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Journal of Algebra, 2002 When an abelian variety has a principal polarization, it is self-dual. However, when the normalization is not principal, the problem of giving an explicit formula for the ``inversion'' (by which the author means taking the opposite with respect to the group law), on the Heisenberg group associated to the polarizing bundle, becomes subtle and important.
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