Results 11 to 20 of about 3,074,877 (302)

Supporting 'design for reuse' with modular design [PDF]

, 2007
Engineering design reuse refers to the utilization of any knowledge gained from the design activity to support future design. As such, engineering design reuse approaches are concerned with the support, exploration, and enhancement of design knowledge ...
Meehan, J.S., Whitfield, R. I., Duffy, A.H.B.   +2 more
core   +4 more sources

A new class of modular equation for Weber functions [PDF]

, 2007
We describe the construction of a new type of modular equation for Weber functions. These bear some relationship to Weber's modular equations of the irrational kind. Numerous examples of these equations are explicitly computed.
Hart, William B.
core   +1 more source

Schlafli modular equations for generalized Weber functions [PDF]

, 2008
Sets of appropriately normalized eta quotients, that we call level n Weber functions, are defined, and certain identities generalizing Weber function identities are proved for these functions.
William B. Hart, Hart, William B.
core   +1 more source

Iwasawa theory for modular forms at supersingular primes [PDF]

, 2010
Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core   +2 more sources

Variable discrimination of crossover versus mutation using parameterized modular structure

, 2007
Recent work has provided functions that can be used to prove a principled distinction between the capabilities of mutation-based and crossover-based algorithms.
Richard A. Watson, Rob Mills, Mills, Rob, Watson, Richard A.   +3 more
core   +2 more sources

Tetrahedral modular graph functions

Journal of High Energy Physics, 2017
The low-energy expansion of one-loop amplitudes in type II string theory generates a series of world-sheet integrals whose integrands can be represented by world-sheet Feynman diagrams.
Axel Kleinschmidt, Valentin Verschinin
doaj   +1 more source

Introductory remarks on complex multiplication

International Journal of Mathematics and Mathematical Sciences, 1982
Complex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest.
Harvey Cohn
doaj   +1 more source

Poisson equations for elliptic modular graph functions

Physics Letters B, 2021
We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non–trivial algebraic relation between the various graphs.
Anirban Basu
doaj   +1 more source

Some Modular Relations Analogues to the Ramanujan’s Forty Identities with Its Applications to Partitions

Axioms, 2013
Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan
Nasser Abdo Saeed Bulkhali, Chandrashekar Adiga   +1 more
doaj   +1 more source

Weighted modular inequalities for monotone functions

Journal of Inequalities and Applications, 1997
Weight characterizations of weighted modular inequalities for operators on the cone of monotone functions are given in terms of composition operators on arbitrary non-negative functions with changes in weights. The results extend to modular inequalities,
Heinig HP, Kufner A, Drábek P
doaj   +2 more sources