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中国地质大学科学技术发展院左博新，胡祥云*等，计算机学院，Geophysical Research Letters （2020），Downward Continuation and Transformation of Total‐Field Magnetic Anomalies Into Magnetic Gradient Tensors Between Arbitrary Surfaces Using Multilayer Equivalent Sources
资源勘探；等效源方法；磁测；数据；下延拓；磁梯度；张量；转换计算
2021/10/15
近日，地球物理著名期刊《Geophysical Research Letters》正式刊发了中国地质大学胡祥云教授团队研究成果 -“Downward continuation and transformation of total-field magnetic anomalies into magnetic gradient tensors between arbitrary surfaces u...
An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm With Their Convergence and Stability Analysis
convergence acceleration algorithm integrable system molecule solution conver- gence stability
2012/8/10
The molecule solution of an extended discrete Lotka-Volterra equation is constructed,
from which a new sequence transformation is proposed. A convergence acceleration algorithm for
implementing this...
New type of KP equation with self-consistent sources and its bilinear B鋍klund transformation
New type of KP equation self-consistent
2012/8/8
A new type of the KP equation with self-consistent sources (KPESCS)
痳st found by Melnikov ( Lett. Math. Phys. 7(1983) 129-136)is re-constructed
via source generation procedure. New feature of the ob...
A new Kontorovich-Lebedev-like transformation
Kontorovich-Lebedev transform modified Bessel functions Mellin transform Laplace trans-form convolution
2012/6/21
A different application of the familiar integral representation for the modifed Bessel function drives to a new Kontorovich-Lebedev-like integral transformation of a general complex index. Mapping and...
The Poisson Rain Tessellation Under Spatial Expansion and Temporal Transformation
The Poisson Rain Tessellation Spatial Expansion Temporal Transformation Probability
2012/4/16
For cell-division processes in a window, Cowan introduced four selection rules and two division rules each of which stands for one cell-division model. One of these is the area-weighted in-cell model....
CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
An Elliptic Analogue Of Generalized Cotangent Dirichlet Series And Its Transformation Formulae At Some Integer Arguments
Elliptic Analogue Cotangent Dirichlet Series Integer Arguments Number Theory
2011/9/20
Abstract: B.C. Berndt evaluated special values of the cotangent Dirichlet series. T. Arakawa studied a generalization of the series, or generalized cotangent Dirichlet series, and gave its transformat...
Universality of the lattice of transformation monoids
algebraic lattice embedding transformation monoid
2011/9/15
Abstract: The set of all transformation monoids on a fixed set of infinite cardinality lambda, equipped with the order of inclusion, forms an algebraic lattice Mon(lambda) with 2^lambda compact elemen...
Miura-type transformation for the Itoh-Narita-Bogoyavlenskii lattice
integrable lattice Miura-type transformation
2011/7/5
We show that by Miura-type transformation the Itoh-Narita-
Bogoyavlenskii lattice, for any n ≥ 1, is related with some differential-difference (modified)
equation. We present corresponding integrabl...
Shape theory via affine transformation: Some generalisations
Jacobians Jack polynomials generalised hypergeometric functions
2011/2/28
This work sets the statistical affine shape theory in the context of real normed divi-sion algebras. The general densities apply for every field: real, complex, quaternion,octonion, and for any noncen...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Multistep epsilon-algorithm, Shanks' transformation, and Lotka-Volterra system by Hirota's method
Multistep epsilon-algorithm Shanks' transformation Lotka-Volterra system Hirota's method
2011/2/28
In this paper, we give a multistep extension of the "–algorithm of Wynn, and we show that it implements a multistep extension of the Shanks’ sequence transformation which is cdefined by ratios of dete...
Group theoretic structures in the estimation of an unknown unitary transformation
Group theoretic structures estimation unknown unitary transformation
2011/3/2
This paper presents a series of general results about the optimal estimation of physical transformations in a given symmetry group. In particular, it is shown how the different
symmetries of the prob...
Shape theory via affine transformation: Some generalisations
Shape theory via affine transformation generalisations
2011/1/4
This work sets the statistical affine shape theory in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncen...
Transformation & Uncertainty. Some Thoughts on Quantum Probability Theory, Quantum Statistics, and Natural Bundles
Quantum Probability Theory Quantum Statistics Natural Bundles
2010/11/19
This PHD thesis is concerned with uncertainty relations in quantum probability theory, state estimation in quantum stochastics, and natural bundles in differential geometry. After some comments on the...