Results 61 to 70 of about 32,828 (201)

On the inversion formula for two polynomials in two variables

, 1988
For any automorphism φ of C[x, y], an explicit formula for the inverse automorphism was given earlier. This formula, which generalizes Cramer's rule for two variables, uses resultants involving ‘face polynomials for φ(x) and φ(y). These face polynomials (
Stuart Sui-Sheng Wang, McKay, James H., James H. McKay, Wang, Stuart Sui-Sheng   +3 more
core   +1 more source

Bathymetry Inversion Using Full Tensor Gravity Gradients: A Case Study in the Bay of Bengal

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Conventional methods for bathymetry inversion based on gravity field data usually adopt gravity anomaly and vertical gravity gradient. Indeed, a gravity gradient tensor (GGT) has six components.
Xiaoyun Wan, Lijun Zhang, Hengyang Guo, Richard Fiifi Annan   +3 more
doaj   +1 more source

Global greenhouse gas reconciliation 2022 [PDF]

Earth System Science Data
In this study, we provide an update on the methodology and data used by Deng et al. (2022) to compare the national greenhouse gas inventories (NGHGIs) and atmospheric inversion model ensembles contributed by international research teams coordinated by ...
Z. Deng, Z. Deng, Z. Deng, P. Ciais, L. Hu, A. Martinez, M. Saunois, R. L. Thompson, K. Tibrewal, W. Peters, W. Peters, B. Byrne, G. Grassi, P. I. Palmer, P. I. Palmer, I. T. Luijkx, Z. Liu, J. Liu, J. Liu, X. Fang, T. Wang, H. Tian, K. Tanaka, K. Tanaka, A. Bastos, S. Sitch, B. Poulter, C. Albergel, A. Tsuruta, S. Maksyutov, R. Janardanan, Y. Niwa, Y. Niwa, B. Zheng, B. Zheng, J. Thanwerdas, D. Belikov, A. Segers, F. Chevallier   +38 more
doaj   +1 more source

A mixing formula accounting for inversion of matrix structure

AIP Advances, 2020
Known mixing models are analyzed with the aim to retrieve permeability of metal inclusions from the measured constitutive parameters of a binary composite. The application-oriented models are interpreted in terms of inclusion shape-factor and percolation
S. N. Starostenko, K. N. Rozanov, V. Bovtun, A. O. Shiryaev   +3 more
doaj   +1 more source

A combinatorial proof of the multivariable lagrange inversion formula

, 1987
Part I contains a combinatorial proof of a multivariable Lagrange inversion formula. Part II discusses the various multivariable Lagrange inversion formulas of Jacobi, Stieltjes, Good, Joni, and Abhyankar and shows how they can be derived from each ...
Gessel, Ira M
core   +1 more source

Parametric Möbius inversion formulas

Discrete Mathematics, 1997
The theory of the general Möbius function for the (incidence algebra) of locally finite posets \(P\) and its consequences for a myriad of applications in various aspects of enumerative and algebraic combinatorics in addition to number theory is well established by now.
openaire   +2 more sources

THE COMPLEX INVERSION FORMULA REVISITED [PDF]

Journal of the Australian Mathematical Society, 2008
AbstractWe give a simplified proof of the complex inversion formula for semigroups and, more generally, solution families for scalar-type Volterra equations, including the stronger versions on unconditional martingale differences (UMD) spaces. Our approach is based on (elementary) Fourier analysis.
openaire   +2 more sources

An abstract Möbius inversion formula with number-theoretic applications

, 1995
An inversion formula for incidence functions is given. This formula is applied to certain types of number-theoretic identities, for example, to the arithmetical evaluation of Ramanujan's sum and to the identical equation of a class of multiplicative ...
Haukkanen, Pentti, Pentti Haukkanen
core   +1 more source

Face polynomials and inversion formula

, 1992
Based on the concept of the minimal polynomial in the polynomial ring C[x1,...,x] over the complex number field C, we give a new proof that a C-automorphism of the ring C[x1,...,xn] is completely determined by its face polynomials.
Yu, J, Yu, Jietai
core   +1 more source

Inversion Formulas for the Spherical Radon-Dunkl Transform

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The spherical Radon-Dunkl transform R_κ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics.
Zhongkai Li, Futao Song
doaj   +1 more source