Results 61 to 70 of about 4,125 (289)
Ultra‐Wide‐Field Noninvasive Imaging Through Scattering Media Via Physics‐Guided Deep Learning
Advanced Science, EarlyView.We propose a physics‐guided adaptive dual‐domain learning method for ultra‐wide‐field noninvasive imaging through scattering media, namely UNI‐Net. Our method not only reduces the requirement for real experimental data by an order of magnitude but also enables clear imaging of complex scenes with an ultra‐large field of view, which is 164 times the OME
Lintao Peng +5 more
wiley +1 more source
From Boolean Valued Analysis to Quantum Set Theory: Mathematical Worldview of Gaisi Takeuti
Mathematics, 2021 Gaisi Takeuti introduced Boolean valued analysis around 1974 to provide systematic applications of the Boolean valued models of set theory to analysis. Later, his methods were further developed by his followers, leading to solving several open problems ...
Masanao Ozawa
doaj +1 more source
The Relation “Commutator Equals Function” in Banach Algebras [PDF]
Mathematical Notes, 2021 The relation $xy-yx=h(y)$, where $h$ is a holomorphic function, occurs naturally in the definitions of some quantum groups. To attach a rigorous meaning to the right-hand side of this equality, we assume that $x$ and $y$ are elements of a Banach algebra (or of an Arens--Michael algebra).
openaire +2 more sources
Arithmetic equivalence for function fields, the Goss zeta function and a generalisation
, 2010 A theorem of Tate and Turner says that global function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous. In this note, we investigate what happens if we replace the usual (characteristic zero) zeta
Sub Algebra,Geometry&Mathem. Logic begr. +7 more
core +1 more source
, 2013 The setting of this work is dependent type theory extended with the univalence axiom. We prove that, for a large class of algebraic structures, isomorphic instances of a structure are equal-in fact, isomorphism is in bijective correspondence with ...
Danielsson, Nils Anders +3 more
core +1 more source
Advanced Science, EarlyView.A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai +3 more
wiley +1 more source
Discovering geometry via the Discover command in GeoGebra Discovery
REMATEC. Revista de Matemática, Ensino e Cultura, 2021 We present a new way to discover statements in a planar geometric figure by using GeoGebra Discovery, an experimental version of GeoGebra, the free dynamic mathematics software package.
Zoltán Kovács
doaj +1 more source
Advanced Science, EarlyView.A multifunctional terahertz (THz) platform is demonstrated, in a model material Fe4Nb2O9, exhibiting a large intrinsic THz phase shift alongside distinct THz magnon excitations in its antiferromagnetic phase. This coexistence of phase modulation and spin dynamics offers a promising pathway toward integrated THz communication and magnonic computation ...
Brijesh Singh Mehra +10 more
wiley +1 more source
On submultiplicative constants of an algebra
Journal of Inequalities and Applications, 2019 If A $\mathcal{A}$ is a finite-dimensional commutative associative real algebra with norm ∥⋅∥ $\| \cdot\|$ then we say that the rth submultiplicative constant of A $\mathcal{A}$ is the smallest constant mr(A) $m_{r}(\mathcal{A})$ for which ∥x1x2⋯xr∥≤mr(A)
James S. Cook, Khang V. Nguyen
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Normality conditions in the Sylow p-subgroup of Sym(p^n) and its associated Lie algebra [PDF]
In this work, we give a description of the structure of the normal subgroups of a Sylow p-subgroup W_n of Sym(p^n), showing that they contain a term from the lower central series with bounded index.
Norberto Gavioli +2 more
core +1 more source