Results 121 to 130 of about 901,419 (279)

Complex-Order Riemann Zeta Function Theory and Its Applications to Prime Distribution: From Explicit Zero Equations to the Hardy–Littlewood Conjectures

Based on the contour integral representation and hypergeometric representation of the complex-order Riemann zeta function, we derive an explicit integral equation for the nontrivial zeros of the Riemann zeta function, and then obtain a refined explicit formula for the prime counting function.
openaire   +1 more source

An Experimental High‐Throughput Approach for the Screening of Hard Magnet Materials

Advanced Engineering Materials, EarlyView.
An entire workflow for the high‐throughput characterization and analysis of compositionally graded magnetic films is presented. Characterization protocols, data management tools and data analysis approaches are illustrated with test case Sm(Fe, V)12 based films.
William Rigaut, Pierre Le Berre, Hamdi Jaballah, Lukas Fink, Victor Poline, Richard Haettel, Stéphane Grenier, Gilbert Chahine, Ewen Bellec, Guillaume Buatier, Wilfried Hortschitz, Santa Pile, Thomas Schrefl, Nils Blanc, Yuan Hong, Thibaut Devillers, Nora M. Dempsey   +16 more
wiley   +1 more source

Complete Addition Formulas for Prime Order Elliptic Curves

International Conference on the Theory and Application of Cryptographic Techniques, 2016
Joost Renes, Craig Costello, L. Batina
semanticscholar   +1 more source

Molecular Dynamics Studies of Shape Memory Polymers: From Bead–Spring Models to Atomistic Simulations

Advanced Engineering Materials, EarlyView.
Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley   +1 more source

The Ihara zeta function as a partition function for network structure characterisation

Scientific Reports
Statistical characterizations of complex network structures can be obtained from both the Ihara Zeta function (in terms of prime cycle frequencies) and the partition function from statistical mechanics.
Jianjia Wang, Edwin R. Hancock
doaj   +1 more source

The Topological Indices of Coprime Graph for Integer Module Group

Jurnal Diferensial
This study delves into the fascinating realm of coprime graphs within the integer modulo group, revealing a fundamental property where these graphs manifest as star graphs when the order corresponds to a prime power.
Abdurahim Abdurahim, Zata Yumni Awanis, Bulqis Nebulla Syechah, Syaharuddin Syaharuddin   +3 more
doaj   +1 more source

Exploration of Pseudobinary Alloys (Al–Mn)‐(Co–Fe–Ni) to Design High‐Entropy and Compositionally Complex Alloys to Stabilize the τ Phase in Al–Mn‐Based Ferromagnetic Alloys

Advanced Engineering Materials, EarlyView.
This experimental study investigates the thermodynamic limits of the Al–Mn τ ferromagnetic phase within complex‐composition alloys (CCAs). Using nine rare‐earth‐free compositions, it explores a broad region of the pseudobinary AlMnCoFeNi system. The results reveal intricate links between composition, phase stability, and magnetic behavior, highlighting
Sacha Plagnol‐Chauzu, Laurent Peltier, Fodil Meraghni, Stéphane Delalande, Frédéric Mazaleyrat   +4 more
wiley   +1 more source

From Shear to Sound: Mechanics–Acoustics Mapping of TPMS Lattices

Advanced Engineering Materials, EarlyView.
Triply periodic minimal surface (TPMS) lattices are mapped across mechanical and acoustic performance, revealing that descriptors validated in compression fail under shear. First‐time comparison with trusses included. A transition from porous to resonance‐driven absorption emerges at 25% density.
Lucía Doyle, María Ángeles Navacerrada, Johan Christensen, Carlos González   +3 more
wiley   +1 more source

Precipitation Simulations of the O‐Phase in Ti2AlNb Alloys Processed by Laser Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
Simulated and experimental evolution of the O‐phase volume fraction during postprocessing of a Ti‐21Al‐25Nb (at.%) alloy processed by laser powder bed fusion. With results of sensitivity to input parameters from a thorough and quantified analysis, the interfacial energy matrix/precipitate is the most relevant input parameter for the simulation of the O‐
Silvana Tumminello, Joachim Gussone, Suzana G. Fries, Marcus Rackel, Andreas Stark, Norbert Schell, Jan Haubrich, Guillermo Requena   +7 more
wiley   +1 more source