Results 81 to 90 of about 96,341 (238)
Abstract Transcrystallization phenomena is a key issue to master for better understanding the role on the fiber‐matrix interface in composites materials behavior during and after processing. In this paper, a non‐isothermal kinetics model is presented to consider crystallization in fiber‐based composite with thermoplastic matrix.
Nicolas Bigot+3 more
wiley +1 more source
On the recurrence formula of the Euler zeta functions [PDF]
In this paper, we find a new recurrence formula fo the Euler zeta functions.
arxiv
New variants of fuzzy optimal control problems
Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus+3 more
wiley +1 more source
Euler matrices and their algebraic properties revisited [PDF]
This paper is concerned with the generalized Euler polynomial matrix $\E^{(\alpha)}(x)$ and the Euler matrix $\E$. Taking into account some properties of Euler polynomials and numbers, we deduce product formulae for $\E^{(\alpha)}(x)$ and determine the inverse matrix of $\E$. We establish some explicit expressions for the Euler polynomial matrix $\E(x)$
arxiv
A circular interpretation of the Euler–Maclaurin formula [PDF]
AbstractThe present work makes the case for viewing the Euler–Maclaurin formula as an expression for the effect of a jump on the accuracy of Riemann sums on circles and draws some consequences thereof, e.g., when the integrand has several jumps. On the way we give a construction of the Bernoulli polynomials tailored to the proof of the formula and we ...
openaire +2 more sources
Stellar Physics and General Relativity
ABSTRACT The general theory of relativity is currently established as the most precise theory of gravity supported by observations, and its application is diverse ranging from astronomy to cosmology, while its application to astrophysics has been restricted only to compact stars due to the assumption that the Newtonian approximation is sufficient for ...
Shuichi Yokoyama
wiley +1 more source
A Short Proof of Euler--Poincaré Formula [PDF]
"V - E + F = 2", the famous Euler's polyhedral formula, has a natural generalization to convex polytopes in every finite dimension, also known as the Euler-Poincar\'e Formula. We provide another short inductive proof of the general formula. Our proof is self-contained and it does not use shellability of polytopes.
arxiv
Abstract Short‐lived, unobservable, and not subject to the usual rules of conservation of energy and momentum, virtual particles—an integral part of the conceptual framework of quantum field theory (QFT)—exhibit a number of curious characteristics which, in recent decades, have in part fueled important discussions about their ontological status ...
Jean‐Philippe Martinez
wiley +1 more source
Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT
Abstract We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3‐brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed “the throat fitting into the bulk” directly from the Klebanov‐Strassler geometry.
Ralph Blumenhagen+2 more
wiley +1 more source
Description of Euler bricks using Fibonacci's identity [PDF]
We show how the Fibonacci's identity is used to obtain Euler bricks. Also,we put forward the relation between Fibonacci's identity and Euler's formula, which provides the description of Euler's bricks with noninteger spatial diagonal. Finally,we establish a relation between the Euler bricks with integer and noninteger spatial diagonals.
arxiv