Results 41 to 50 of about 488,333 (270)

A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]

Mathematica Bohemica
A specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
doaj   +1 more source

Arithmetic circuit tensor networks, multivariable function representation, and high-dimensional integration

Physical Review Research, 2023
Many computational problems can be formulated in terms of high-dimensional functions. Simple representations of such functions and resulting computations with them typically suffer from the “curse of dimensionality,” an exponential cost dependence on ...
Ruojing Peng, Johnnie Gray, Garnet Kin-Lic Chan   +2 more
doaj   +1 more source

Geometry of the arithmetic site [PDF]

, 2015
We introduce the Arithmetic Site: an algebraic geometric space deeply related to the non-commutative geometric approach to the Riemann Hypothesis. We prove that the non-commutative space quotient of the adele class space of the field of rational numbers ...
Connes, Alain, Consani, Caterina
core  

Four‐Point Bending Tests at High Temperatures on Commercial MgO‐C Refractory Bricks with and Without Recyclate Considering Different Carbon Contents

Advanced Engineering Materials, EarlyView.
Four‐point bending tests are conducted in an argon atmosphere on commercial MgO‐C brick grades with and without MgO‐C recyclate from room temperature up to 1300 °C. No detrimental effect of the MgO‐C recyclates on bending strength is found. Instead, a decisive influence of the total carbon content is observed, with lower total carbon contents ...
Alexander Schramm, Lukas Knöchel, Thomas Schemmel, Christos G. Aneziris, Anja Weidner, Horst Biermann   +5 more
wiley   +1 more source

Removing Oxide Layers and Retaining Oxide‐Free Steel Surfaces by Polishing in Oxygen‐Free Atmosphere

Advanced Engineering Materials, EarlyView.
In this study, the efficacy of wet mechanical polishing under an oxygen‐free atmosphere for deoxidation and the retention of an oxide‐free steel surface are elucidated using X‐ray photoelectron spectroscopy. The methodology proved successful; however, the results were highly dependent on the preparation of the solvents used to clean the samples after ...
Friedrich Bürger, Lienhard Wegewitz, Wolfgang Maus‐Friedrichs   +2 more
wiley   +1 more source

Frontal Midline Theta Oscillations during Mental Arithmetic: Effects of Stress

Frontiers in Behavioral Neuroscience, 2015
Complex cognitive tasks such as mental arithmetic heavily rely on intact, well-coordinated prefrontal cortex (PFC) function. Converging evidence suggests that frontal midline theta (FMT) oscillations play an important role during the execution of such ...
Matti eGärtner, Matti eGärtner, Simone eGrimm, Simone eGrimm, Simone eGrimm, Malek eBajbouj   +5 more
doaj   +1 more source

Al–Cu Composite Casting of Laser‐Deoxidized Copper: Bonding, Interfacial Chemistry, and Thermal Conductivity

Advanced Engineering Materials, EarlyView.
This study investigates laser‐based oxide removal of Cu inserts in oxygen‐free conditions and examines long‐term oxidation kinetics and surface chemistry under different atmospheres via X‐ray photoelectron spectroscopy. Al–Cu compound casting with differently oxidized surfaces is performed, and intermetallic phase formation, morphology, and thermal ...
Timon Steinhoff, Finn‐Lennard Janthur, Sascha Zimmermann, Sarah Seffer, Jörg Hermsdorf, René Gustus, Ludger Overmeyer, Wolfgang Maus‐Friedrichs, Hans Jürgen Maier, Christian Klose   +9 more
wiley   +1 more source

Arithmetic properties of Ramanujan's general partition function for modulo 11

Kuwait Journal of Science, 2020
In the present work, for the general partition function $p_k(n)$, we establish five new infinite families of congruences. Our emphasis throughout this paper is to exhibit the use of $q$-identities  to generate congruences for the general partition ...
Srivatsa Kumar Belakavadi Radhakrishna, Ramakrishna Narendra, Karpenahalli R Rajanna   +2 more
doaj   +1 more source

On the second moment for primes in an arithmetic progression

, 2000
Assuming the Generalized Riemann Hypothesis, we obtain a lower bound within a constant factor of the conjectured asymptotic result for the second moment for primes in an individual arithmetic progression in short intervals. Previous results were averaged
Goldston, Daniel, Yildirim, C. Y.
core   +2 more sources

All‐in‐One Analog AI Hardware: On‐Chip Training and Inference with Conductive‐Metal‐Oxide/HfOx ReRAM Devices

Advanced Functional Materials, EarlyView.
An all‐in‐one analog AI accelerator is presented, enabling on‐chip training, weight retention, and long‐term inference acceleration. It leverages a BEOL‐integrated CMO/HfOx ReRAM array with low‐voltage operation (<1.5 V), multi‐bit capability over 32 states, low programming noise (10 nS), and near‐ideal weight transfer.
Donato Francesco Falcone, Victoria Clerico, Wooseok Choi, Tommaso Stecconi, Folkert Horst, Laura Bégon‐Lours, Matteo Galetta, Antonio La Porta, Nikhil Garg, Fabien Alibart, Bert Jan Offrein, Valeria Bragaglia   +11 more
wiley   +1 more source