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» Multivariate Fuss-Catalan numbers
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POPL
2007
ACM
14 years 7 months ago
Lazy multivariate higher-order forward-mode AD
A method is presented for computing all higher-order partial derivatives of a multivariate function Rn R. This method works by evaluating the function under a nonstandard interpre...
Barak A. Pearlmutter, Jeffrey Mark Siskind
DCG
2010
101views more  DCG 2010»
13 years 7 months ago
Obstacle Numbers of Graphs
es of Statistics (2); Calculus 2; Multivariable Calculus; Abstract Algebra 1 (2) Research with undergraduate students:
Hannah Alpert, Christina Koch, Joshua D. Laison
INFORMATICALT
2010
99views more  INFORMATICALT 2010»
13 years 5 months ago
Security Analysis of Asymmetric Cipher Protocol Based on Matrix Decomposition Problem
The asymmetric cipher protocol, based on decomposition problem in matrix semiring M over semiring of natural numbers N is presented. The security of presented cipher protocol is ba...
Andrius Raulynaitis, Eligijus Sakalauskas, Saulius...
COMBINATORICS
1998
113views more  COMBINATORICS 1998»
13 years 7 months ago
A Multivariate Lagrange Inversion Formula for Asymptotic Calculations
The determinant that is present in traditional formulations of multivariate Lagrange inversion causes difficulties when one attempts to obtain asymptotic information. We obtain an...
Edward A. Bender, L. Bruce Richmond
JC
2000
138views more  JC 2000»
13 years 7 months ago
Multivariate Polynomials, Duality, and Structured Matrices
We rst review thebasic properties of the well knownclasses of Toeplitz, Hankel, Vandermonde, and other related structured matrices and reexamine their correlation to operations wi...
Bernard Mourrain, Victor Y. Pan