Results 81 to 90 of about 13,596 (196)
Primitive permutation groups and derangements of prime power order
Let $G$ be a transitive permutation group on a finite set of size at least $2$. By a well known theorem of Fein, Kantor and Schacher, $G$ contains a derangement of prime power order.
Burness, Timothy C., Tong-Viet, Hung P.
core +1 more source
EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS [PDF]
AbstractWe give new bounds on sums of the form ∑ n≤NΛ(n)exp (2πiagn/m) and ∑ n≤NΛ(n)χ(gn+a), where Λ is the von Mangoldt function, m is a natural number, a and g are integers coprime to m, and χ is a multiplicative character modulo m. In particular, our results yield bounds on the sums ∑ p≤Nexp (2πiaMp/m) and ∑ p≤Nχ(Mp) with Mersenne numbers Mp=2p−1 ...
Banks, William D. +3 more
openaire +1 more source
Efficient and Constant Time Modular Reduction With Generalized Mersenne Primes
Many cryptographic applications require a vast number of modular multiplications with a large prime modulus. Generalized Mersennes are a class of primes commonly used in cryptography because of their special forms.
Serdar S. Erdem, Sezer S. Erdem
doaj +1 more source
The need for hardware random number generators (HRNGs) that can be integrated in a silicon (Si) complementary-metal–oxide–semiconductor (CMOS) platform has become increasingly important in the era of the Internet-of-Things (IoT).
Kouta Ibukuro +9 more
doaj +1 more source
Evaluation of linear regression techniques for atmospheric applications: the importance of appropriate weighting [PDF]
Linear regression techniques are widely used in atmospheric science, but they are often improperly applied due to lack of consideration or inappropriate handling of measurement uncertainty. In this work, numerical experiments are performed to evaluate
C. Wu +4 more
doaj +1 more source
The subjectivity of morphological assessment and the overlapping pathological features of different subtypes of myeloproliferative neoplasms (MPNs) make accurate diagnosis challenging. To improve the pathological assessment of MPNs, we took both haematoxylin–eosin staining BM whole‐slide images (WSI) and clinical features from 1051 MPN and non‐MPN ...
Rong Wang +18 more
wiley +1 more source
Overpseudoprimes, and Mersenne and Fermat numbers as primover numbers [PDF]
We introduce a new class of pseudoprimes-so called "overpseudoprimes to base $b$", which is a subclass of strong pseudoprimes to base $b$. Denoting via $|b|_n$ the multiplicative order of $b$ modulo $n$, we show that a composite $n$ is overpseudoprime if
Castillo, John H. +3 more
core +1 more source
AFOCAL SYSTEMS FORMED BY MIRROR OFF-AXIS PARABOLOID
Mirror systems make it possible to reduce device dimensions and its weight while preserving high input aperture and these systems are characterized by a number of other advantages.
N. K. Artiukhina +2 more
doaj +1 more source
The economic viability of feedlot Aberdeen Angus steers fed with diets composed of different concentrate levels (CL) in dry matter (25, 40, 55 or 70%) was estimated using Monte Carlo simulation combined with Spearman rank correlation, considering nine ...
Joilmaro Rodrigo Pereira Rosa +4 more
doaj +3 more sources
Batched ranged random integer generation
Summary Pseudorandom values are often generated as 64‐bit binary words. These random words need to be converted into ranged values without statistical bias. We present an efficient algorithm to generate multiple independent uniformly‐random bounded integers from a single uniformly‐random binary word, without any bias.
Nevin Brackett‐Rozinsky, Daniel Lemire
wiley +1 more source

