Results 61 to 70 of about 12,228,153 (333)

Krein-space operators determined by free product algebras induced by primes and graphs

Special Matrices, 2017
In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj   +1 more source

Applications of differential algebra to algebraic independence of arithmetic functions [PDF]

, 2015
We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture.
W. Pong
semanticscholar   +1 more source

Intercriteria Analysis and Arithmetic Functions

, 2018
The possibility to apply the intercriteria analysis over normalized data is discussed.
K T Atanassov, Atanassova, V., Vassia Atanassova, Atanassov, K.T., Panagiotis Chountas, Chountas, P.   +5 more
core   +1 more source

On the Function π(x)

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Let π(x) be the number of primes not exceeding x. We prove that π(x)
Bănescu Magdalena
doaj   +1 more source

On a certain class of arithmetic functions [PDF]

, 2016
summary:A homothetic arithmetic function of ratio $K$ is a function $f\colon \mathbb {N}\rightarrow R$ such that $f(Kn)=f(n)$ for every $n\in \mathbb {N}$. Periodic arithmetic funtions are always homothetic, while the converse is not true in general.
Antonio M.~Oller-Marcén, Oller-Marcén, Antonio M.   +1 more
core   +1 more source

A note on the approximation of divisor functions [PDF]

Notes on Number Theory and Discrete Mathematics
We offer an arithmetic proof of a result from the recent paper [1]. A more general result is provided, too.
József Sándor
doaj   +1 more source

Privacy-Preserving Machine Learning With Fully Homomorphic Encryption for Deep Neural Network

IEEE Access, 2022
Fully homomorphic encryption (FHE) is a prospective tool for privacy-preserving machine learning (PPML). Several PPML models have been proposed based on various FHE schemes and approaches.
Joon-Woo Lee, Hyungchul Kang, Yongwoo Lee, Woosuk Choi, Jieun Eom, Maxim Deryabin, Eunsang Lee, Junghyun Lee, Donghoon Yoo, Young-Sik Kim, Jong-Seon No   +10 more
doaj   +1 more source

Arithmetic of the Fabius Function

Integers, 2017
I solve here a question of Vladimir Reshetnikov in Mathoverflow (question 261649) about the values of Fabius function. Namely, I prove that the numbers $R_n:=2^{-\binom{n-1}{2}}(2n)! F(2^{-n})\prod_{m=1}^{\lfloor n/2\rfloor}(2^{2m}-1)$ are integers. We show also some other arithmetical properties of the values of Fabius function at dyadic points.
openaire   +5 more sources

Cognitive and Neuroimaging Divergence Between Juvenile and Adult FUS Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a neurodegenerative disorder characterized by progressive motor neuron degeneration. Fused in sarcoma (FUS)‐associated juvenile ALS (jALS) represents a distinct and aggressive subgroup with rapid deterioration and poor prognosis.
Alexandra V. Jürs, Marcel Naumann, Annaliis Lehto, Hanna Schön, Jens Kurth, Johannes Prudlo, Andreas Hermann, Elisabeth Kasper   +7 more
wiley   +1 more source

On some results concerning generalized arithmetic triangles [PDF]

, 2018
In this paper we present theoretical and computational results regarding generalized arithmetic m-triangles. The numerical values recover well-known number sequences, indexed in the OEIS including binomial coefficients and their extensions.
Bagdasaryan, Armen G., Ovidiu Bagdasar, Armen G. Bagdasaryan, Bagdasar, Ovidiu   +3 more
core   +1 more source