Results 151 to 160 of about 406 (199)
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Origins of numbers: a shared language-of-thought for arithmetic and geometry? [PDF]
Dehaene S, Sablé-Meyer M, Ciccione L.
europepmc +1 more source
Sheaf Primality via Primality Testing Framework
This paper proposes a novel primality testing framework that reinterprets the notion of primality as a global geometric object over the arithmetic scheme Spec(ℤ). By integrating exponential approximation, modular congruence, p-adic valuation, and elliptic curve regularity, we construct a multilayered filter structure formalized as a sheaf over Spec(ℤ).
openaire +1 more source
Lots and Lots of Perrin-Type Primality Tests and Their Pseudo-Primes
We use Experimental Mathematics and Symbolic Computation (with Maple), to search for lots and lots of Perrin- and Lucas- style primality tests, and try to sort the wheat from the chaff.
Zeilberger, Doron +1 more
core
A PowerMod primality test that works (yet another primality test)
Int this small paper it is shown a simple algorithm to determine whether a a number is prime or not that works well for big numbers...
openaire +1 more source
In this paper it is given a third paper of a possible primality test that gives 99% certainty.
openaire +1 more source
Fooling Primality Tests on Smartcards [PDF]
We analyse whether the smartcards of the JavaCard platform correctly validate primality of domain parameters. The work is inspired by Albrecht et al. [1], where the authors analysed many open-source libraries and constructed pseudoprimes fooling the primality testing functions.
Vladimir Sedlacek +2 more
core +4 more sources

