Partial Fun tions in ACL 2

Rationality of Partial Zeta Fun tions

A Set Theory with Support for Partial Fun tions

The meshless Kernel-based method of lines for parabolic equations

1. Introdu tion. There are plenty of appli ation papers in whi h kernels or radial basis fun tions are su essfully used for solving partial di erential equations by meshless methods. The usage of kernels is typi ally based on spatial interpolation at s attered lo ations, writing the trial fun tions entirely in terms of nodes [2℄. For stationary partial di erential equations, the dis retization ...

Aeùñö¹ìììóööøø Óò×øöù Blockinøøóò× Óó Ae Blockin Blockin Blockinòø È××ùùó¹êêòòóñ Ùò Blockinøøóò×

We des ribe eÆ ient onstru tions for various ryptographi primitives in private-key as well as publi -key ryptography. Our major results are two new onstru tions of pseudorandom fun tions. We prove the pseudo-randomness of one onstru tion under the assumption that fa toring (Blum integers) is hard while the other onstru tion is pseudo-random if the de isional version of the DiÆe-Hellman assumpti...

Ëùù««ööòøøøøøððøý Óó Ìýôô Blockin Blockinð Óòøøòùóù× Ùò Blockinøøóò×

Jonathan M. Borwein1, Xianfu Wang August 13, 1999 ABSTRACT. We prove a \typi al" subdi erentiability prin iple and apply it to a variety of omplete metri spa es of ontinuous fun tions on separable Bana h spa es; so as to obtain existen e of fun tions with maximal subdi erentials when ordered by in lusion. The relationship between ontinuous fun tions with maximal subdi erentials and nowhere mono...