Results 201 to 210 of about 281,620 (316)

Where Mathematical Symbols Come From

open access: yesTopics in Cognitive Science, EarlyView.
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley   +1 more source

The log Grothendieck ring of varieties

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross   +4 more
wiley   +1 more source

On higher Jacobians, Laplace equations, and Lefschetz properties

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida   +2 more
wiley   +1 more source

Simple groups with strong fixed‐point properties

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract We exhibit finitely generated torsion‐free groups for which any action on any finite‐dimensional CW‐complex with finite Betti numbers has a global fixed point.
Nansen Petrosyan
wiley   +1 more source

The random graph process is globally synchronizing

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract The homogeneous Kuramoto model on a graph G=(V,E)$G = (V,E)$ is a network of |V|$|V|$ identical oscillators, one at each vertex, where every oscillator is coupled bidirectionally (with unit strength) to its neighbors in the graph. A graph G$G$ is said to be globally synchronizing if, for almost every initial condition, the homogeneous Kuramoto
Vishesh Jain   +2 more
wiley   +1 more source

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