Results 31 to 40 of about 270,762 (116)

Mathematical Artifacts Have Politics: The Journey from Examples to Embedded Ethics [PDF]

arXiv, 2023
We extend Langdon Winner's idea that artifacts have politics into the realm of mathematics. To do so, we first provide a list of examples showing the existence of mathematical artifacts that have politics. In the second step, we provide an argument that shows that all mathematical artifacts have politics.
arxiv  

More mathematics for pseudo-bosons [PDF]

J. Math. Phys, {\bf 54}, 063512 (2013), 2013
We propose an alternative definition for pseudo-bosons. This simplifies the mathematical structure, minimizing the required assumptions. Some physical examples are discussed, as well as some mathematical results related to the biorthogonal sets arising out of our framework.
arxiv   +1 more source

On analysis in differential algebras and modules [PDF]

, 2018
A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.
arxiv   +1 more source

The Hilton–Milnor theorem in higher topoi

Bulletin of the London Mathematical Society, EarlyView.
Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley   +1 more source

On the isomorphism problem for monoids of product‐one sequences

Bulletin of the London Mathematical Society, EarlyView.
Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley   +1 more source

The Mathematical Universe in a Nutshell [PDF]

arXiv, 2002
The mathematical universe discussed here gives models of possible structures our physical universe can have.
arxiv  

Applied Philosophy in Mathematics [PDF]

arXiv, 2020
We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.
arxiv  

A Generalization of Pascal’s Triangle [PDF]

, 2014
Combinatorics is a branch of mathematics interested in the study of finite, or countable, sets. In particular, Enumerative Combinatorics is an area interested in counting how many ways patterns are created, such as counting permutations and combinations.
Gwetta, Eliya, Pacurar, Adrian, Smith, Elizabeth Mai   +2 more
core   +1 more source

Toric Geometry [PDF]

, 2019
Toric geometry is a subfield of algebraic geometry with rich interactions with geometric combinatorics, and many other fields of mathematics. This workshop brought together a broad range of mathematicians interested in toric matters, and their ...

core   +2 more sources

On Lev's periodicity conjecture

Bulletin of the London Mathematical Society, EarlyView.
Abstract We classify the sum‐free subsets of F3n${\mathbb {F}}_3^n$ whose density exceeds 16$\frac{1}{6}$. This yields a resolution of Vsevolod Lev's periodicity conjecture, which asserts that if a sum‐free subset A⊆F3n${A\subseteq {\mathbb {F}}_3^n}$ is maximal with respect to inclusion and aperiodic (in the sense that there is no non‐zero vector v$v$
Christian Reiher
wiley   +1 more source