Results 41 to 50 of about 605,265 (316)
Journal of Symbolic Computation, 2000 Let \(Q(x,y) = \sum_{i=0}^n a_ix^i y^{n-i}\) be a binary form of degree~\(n\) with real or complex coefficients \(a_i\). Classical invariant theory deals with the invariants of binary forms under the action of SL\(_2\). The article under review takes a different point of view.
Irina Berchenko, Peter J. Olver
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The American Mathematical Monthly, 2015 This note begins with an introduction to the inverse isospectral problem popularized by M. Kac's 1966 article in the American Mathematical Monthly, "Can one hear the shape of a drum?" Although the answer has been known for some twenty years now, many open problems remain.
Zhiqin Lu, Julie Rowlett
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Conservation Laws for a Variable Coefficient Variant Boussinesq System
Abstract and Applied Analysis, 2014 We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which
Ben Muatjetjeja, Chaudry Masood Khalique
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Symmetry TFT for subsystem symmetry
Journal of High Energy PhysicsAbstract We generalize the idea of symmetry topological field theory (SymTFT) for subsystem symmetry. We propose the 2-foliated BF theory with level N in (3 + 1)d as subsystem SymTFT for subsystem ℤ N symmetry in (2 + 1)d. Focusing on N = 2, we investigate various topological boundaries.
Weiguang Cao, Qiang Jia
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Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Vetoing all the Higgs imposters in $$H\rightarrow \ell ^-\ell ^+ Z$$ H → ℓ - ℓ + Z
European Physical Journal C: Particles and FieldsWe develop an effective and methodical algorithm for the construction of general covariant four-point $$H\ell \ell Z$$ H ℓ ℓ Z vertices, accommodating leptons $$\ell =e, \mu $$ ℓ = e , μ , and designed to handle a boson H of any integer spin, not merely ...
Seong Youl Choi +2 more
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Mathematics via Symmetry [PDF]
, 2013 We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's truth value remains the same.
Zelcer, Mark, Yanofsky, Noson
core
Nonparametric Tests for Conditional Symmetry in Dynamic Models [PDF]
, 2007 This article proposes omnibus tests for conditional symmetry around a parametric function in a dynamic context. Conditional moments may not exist or may depend on the explanatory variables.
Delgado, Miguel A. +1 more
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Restricted Weyl symmetry and spontaneous symmetry breakdown of conformal symmetry [PDF]
Modern Physics Letters A, 2021 In this paper, we elucidate the relation between the restricted Weyl symmetry and spontaneous symmetry breakdown of conformal symmetry. Using a scalar–tensor gravity, we show that the restricted Weyl symmetry leads to spontaneous symmetry breakdown of a global scale symmetry when the vacuum expectation value of a scalar field takes a nonzero value. It
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FEBS Letters, EarlyView.Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas +3 more
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