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We extend for the second time the Nonstandard Analysis by adding the left monad closed to the right, and right monad closed to the left, while besides the pierced binad (we introduced in 1998) we add now the unpierced binad - all these in…

General Mathematics · Mathematics 2019-03-13 Florentin Smarandache

We give sufficient conditions for a first order expansion of the real line to define the standard model of the monadic second order theory of one successor. Such an expansion does not satisfy any of the combinatorial tameness properties…

Logic · Mathematics 2016-12-07 Philipp Hieronymi , Erik Walsberg

Motivated by recent work on weak distributive laws and their applications to coalgebraic semantics, we investigate the algebraic nature of semialgebras for a monad. These are algebras for the underlying functor of the monad subject to the…

Logic in Computer Science · Computer Science 2021-12-30 Daniela Petrişan , Ralph Sarkis

Among all states on the algebra of non-commutative polynomials, we characterize the ones that have monic orthogonal polynomials. The characterizations involve recursion relations, Hankel-type determinants, and a representation as a joint…

Combinatorics · Mathematics 2008-04-05 Michael Anshelevich

We treat all the bivariate lack-of-memory (BLM) distributions in a unified approach and develop some new general properties of the BLM distributions, including joint moment generating function, product moments and dependence structure.…

Statistics Theory · Mathematics 2017-12-19 Gwo Dong Lin , Xiaoling Dou , Satoshi Kuriki

Let T be an algebraically bounded theory. We consider the $L(\bar\delta)$-expansions of T by a tuple $\bar \delta$ of derivations (which may be commuting or not). We investigate the model completion of either of the above theories, whose…

Logic · Mathematics 2026-05-26 Fornasiero Antongiulio , Terzo Giuseppina

The resummation of $O(\alpha^{l+1} \ln^{2l} x)$ terms in the evolution kernels of non--singlet combinations of structure functions is investigated for both QED abd QCD. Numerical results are presented for unpolarized and polarized structure…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , A. Vogt

We deal with the power-law q-distribution functions, so-called q-exponentials in nonextensive statistics. The system considered is a many-body Hamiltonian system with arbitrary interacting potentials. We find that the usual form of…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

We characterize type isomorphisms in the multiplicative-additive fragment of linear logic (MALL), and thus in *-autonomous categories with finite products, extending a result for the multiplicative fragment by Balat and Di Cosmo. This…

Logic in Computer Science · Computer Science 2025-11-26 Rémi Di Guardia , Olivier Laurent

We completely characterize $\Delta$- and local subexponentialities of positive-half compound Poisson distributions and extend the characterization on two-sided distributions. Moreover, $\Delta$-subexponentiality of infinitely divisible…

Probability · Mathematics 2023-02-21 Muneya Matsui , Toshiro Watanabe

We introduce LAM, a subsystem of IMALL2 with restricted additive rules able to manage duplication linearly, called linear additive rules. LAM is presented as the type assignment system for a calculus endowed with copy constructors, which…

Logic in Computer Science · Computer Science 2022-01-03 Gianluca Curzi

Let G be a connected split reductive group over a complete discrete valuation ring of mixed characteristic. We use the theory of intermediate extensions due to Abe-Caro and arithmetic Beilinson-Bernstein localization to classify irreducible…

Algebraic Geometry · Mathematics 2020-05-12 Christine Huyghe , Tobias Schmidt

We introduce the notion of non commutative truncated polynomial extension of an algebra A. We study two families of these extensions. For the first one we obtain a complete classification and for the second one, which we call upper…

Rings and Algebras · Mathematics 2011-11-28 Jorge A. Guccione , Juan J. Guccione , Christian Valqui

We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo

In this paper, we devise non-distributive relatives of Exactly True Logic (ETL) by Pietz and Riveccio and its dual (NFL) Non-Falsity Logic by Shramko, Zaitsev and Belikov. We consider two pre-orders which are algebraic counterparts of the…

Logic · Mathematics 2024-03-15 Daniil Kozhemiachenko

This article is devoted to Kato's Euler system, which is constructed from modular unites, and to its image by the dual exponential map (so called Kato's reciprocity law). The presentation in this article is different form Kato's original…

Number Theory · Mathematics 2012-11-19 Shanwen Wang

Two-component second and third-order Burgers type systems with nondiagonal constant matrix of leading order terms are classified for higher symmetries. New symmetry integrable systems with their master symmetries are obtained. Some third…

Exactly Solvable and Integrable Systems · Physics 2016-05-04 D. Talati , R. Turhan

We introduce proper display calculi for basic monotonic modal logic,the conditional logic CK and a number of their axiomatic extensions. These calculi are sound, complete, conservative and enjoy cut elimination and subformula property. Our…

Nonclassicality criteria based on intensity moments and derived from the usual matrix approach are compared to those provided by the majorization theory. The majorization theory is shown to give a greater number of more suitable…

Quantum Physics · Physics 2016-12-15 Ievgen I. Arkhipov , Jan Peřina , Ondřej Haderka , Václav Michálek

In this paper, we generalize the duality between self-dual and Maxwell-Chern-Simons theories for the case of a CPT-even Lorentz-breaking extension of these theories. The duality is demonstrated with use of the gauge embedding procedure,…

High Energy Physics - Theory · Physics 2015-07-08 A. P. Baeta Scarpelli , J. R. Nascimento , A. Yu. Petrov , R. F. Ribeiro
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