Results 61 to 70 of about 1,476 (137)
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Depth‐Invariant High‐Resolution Optical Coherence Tomography Angiography
Optical coherence tomography angiography (OCTA) has become an indispensable tool for visualizing and quantifying in vivo blood flow due to its motion‐contrast‐based label‐free flow detection capabilities. However, in various applications, its effectiveness is hindered by signal degradation due to scattering, absorption, and depth‐dependent defocus ...
ByungKun Lee +4 more
wiley +1 more source
Statistical learning and mathematics knowledge: the case of arithmetic principles
Statistical learning—an unconscious cognitive process used to extract regularities—is well-established as a fundamental mechanism underlying learning. Yet, despite the prominence of patterns in the number system and operations, little is known about the ...
Hyun Young Cho +2 more
doaj +1 more source
Intrinsic non-commutativity of closed string theory
We show that the proper interpretation of the cocycle operators appearing in the physical vertex operators of compactified strings is that the closed string target is noncommutative.
Laurent Freidel +2 more
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Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
A Re‐Examination of Foundational Elements of Cosmology
ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
On commutativity of intuitionistic L-fuzzy groups [PDF]
In this paper, we discuss the commutativity of an intuitionistic L-fuzzy subgroup of a group. Some necessary and sufficient conditions for an intuitionistic L-fuzzy subgroup to be commutative are derived.
Poonam Kumar Sharma
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Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
wiley +1 more source
Product and Commutativity of kth-Order Slant Toeplitz Operators
The commutativity of kth-order slant Toeplitz operators with harmonic polynomial symbols, analytic symbols, and coanalytic symbols is discussed.
Chaomei Liu, Yufeng Lu
doaj +1 more source

