Results 51 to 60 of about 454 (145)

An axiomatization of six-functor formalisms

Forum of Mathematics, Sigma
In this paper, we consider two variations on Mann’s $\infty $ -categorical definition of abstract six-functor formalisms. We consider Nagata six-functor formalisms, that have the additional requirement of having Grothendieck and Wirthmüller ...
Josefien Kuijper
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Axiomatic shape theory [PDF]

Proceedings of the American Mathematical Society, 1975
The notion of shape theory is so defined that, if H {\text {H}} is a category and W {\text {W}} is a subcategory of H {\text {H}} , all shape theories on ( H, W ) ({\text {H ...
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Differentially closed fields of characteristic zero with a generic automorphism

Revista de Matemática: Teoría y Aplicaciones, 2009
Hrushovski showed that the theory of difference-differential fields of characteristic zero has a model-companion, which we shall denote DCFA. We give an axiomatization for DCFA and prove some important model-theoretic results as supersimplicity and ...
Ronald F. Bustamante Medina
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Axiomatic Phylogenetics

We use the language of quivers to formulate a mathematical framework for phylogenetics.
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Axiomatic Digital Topology [PDF]

Journal of Mathematical Imaging and Vision, 2006
The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. They define a class of locally finite (LF) topological spaces. An important property of LF spaces satisfying the axioms is that the neighborhood relation is antisymmetric and transitive.
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Monotonic Entropies

Scientific Annals of Computer Science
We introduce an axiomatization of entropy that generates, as special cases, novel entropy types. These entropies generalize Shannon’s entropy and allow the introduction of entropy for partitions of sets of objects located in metric spaces, and for ...
Dan Simovici
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Non-Additive Entropy Formulas: Motivation and Derivations. [PDF]

Entropy (Basel), 2023
Biró TS, Deppman A.
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The Axiomatic Minimum}

, 2021
Here, I produce the mathematically-precise equivalent of the natural intuition that physics is the product and culmination of the scientific method. To do so, I first produce a model of science using mathematics, then I use it to derive the laws of physics by applying the (formalized) scientific method to the model.
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Axiomatic S-Matrix Theory [PDF]

Reviews of Modern Physics, 1962
The general properties of the S matrix usually deduced from field theory can be derived from postulates expressing very general physical principles. This provides a basis for the establishment of S-matrix theory as an independent and self-contained framework for describing elementaryparticle physics, a framework suited to the modern practical ...
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SEMIOTICS- INTEGRAL PART OF THE ECONOMIC HERMENEUTICS [PDF]

Analele Universităţii Constantin Brâncuşi din Târgu Jiu : Seria Economie, 2016
Although a social science, economy makes use of the tools of numbers and precise data. Should we not include semiotics in the theory of economic interpretation, the axiomatization of the economic science would be impossible and furthermore the ...
ANDA- LAURA LUNGU
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