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We begin a systematic development of structure theory for a first order theory, which is stable over a monadic predicate. We show that stability over a predicate implies quantifier free definability of types over stable sets, introduce an…

Logic · Mathematics 2023-02-17 Saharon Shelah , Alexander Usvyatsov

If the zeta function regularization is used and a complex mass term considered for fermions, the phase does not appear in the fermion determinant. This is not a drawback of the regularization, which can recognize the phase through source…

High Energy Physics - Theory · Physics 2015-05-27 P. Mitra

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

We provide a Lawvere-style definition for partial theories, extending the classical notion of equational theory by allowing partially defined operations. As in the classical case, our definition is syntactic: we use an appropriate class of…

Logic in Computer Science · Computer Science 2020-11-16 Ivan Di Liberti , Fosco Loregian , Chad Nester , Paweł Sobociński

In the present note, we generalize the first part of the Borel-Cantelli lemma. By this generalization, we obtain some strong limit results.

Probability · Mathematics 2011-11-28 Alexei Stepanov

In this note we show that the locally stationary wavelet process can be decomposed into a sum of signals, each of which following a moving average process with time-varying parameters. We then show that such moving average processes are…

Methodology · Statistics 2009-01-27 K. Triantafyllopoulos , G. P. Nason

We consider methods for constructing explicit solutions of the non-stationary Lam\'e equation, which is a generalization of the classical Lam\'e equation, that has appeared in works on integrable models, conformal field theory, high energy…

Mathematical Physics · Physics 2017-02-20 Farrokh Atai

The main purpose of this work is to prove characterization theorems for generalized moment functions on groups. According one of the main results these are exponential polynomials that can be described with the aid of complete (exponential)…

Classical Analysis and ODEs · Mathematics 2021-09-08 Żywilla Fechner , Eszter Gselmann , László Székelyhidi

In a general class of one dimensional random differential equation the convergence of the distribution function of the solution to stationary state distribution is studied. In particular it is proved the boundedness respectively the…

Probability · Mathematics 2010-07-07 Gyorgy Steinbrecher , Xavier Garbet , Boris Weyssow

Stationary points or derivative zero crossings of a regression function correspond to points where a trend reverses, making their estimation scientifically important. Existing approaches to uncertainty quantification for stationary points…

Methodology · Statistics 2025-12-10 Michael Price , Debdeep Pati , Ning Ning

We prove the Yoneda lemma inside an elementary higher topos, generalizing the Yonda lemma for spaces.

Category Theory · Mathematics 2018-09-07 Nima Rasekh

In this paper we prove the existence of non-stationary periodic solutions of delay Lotka-Volterra equations. In the proofs we use the degree for $S^1$-equivariant maps.

Classical Analysis and ODEs · Mathematics 2007-05-23 H. Hirano , S. Rybicki

We prove a quantitative averaging lemma for spatially dependent vector fields. Our proof is based on an iteration of the regularizing operator and some elementary considerations about the local inversion theorem.

Analysis of PDEs · Mathematics 2026-04-20 Paul Alphonse , Billel Guelmame , Julien Vovelle

Another stabilizer term is used in the classical Hamiltonian of the Skyrme Model that permits in a much simple way the generalization of the higher-order terms in the pion derivative field. Improved numerical results are obtained.

High Energy Physics - Phenomenology · Physics 2015-06-25 Jorge Ananias Neto

In this paper we prove several results on normal forms for linear displacement context-free grammars. The results themselves are rather simple and use well-known techniques, but they are extensively used in more complex constructions.…

Formal Languages and Automata Theory · Computer Science 2015-07-31 Alexey Sorokin

We derive a moment formula for generalized fractional polynomial processes, i.e., for polynomial-preserving Markov processes time-changed by an inverse L\'evy-subordinator. If the time change is inverse $\alpha$-stable, the time-derivative…

Probability · Mathematics 2026-02-27 Johannes Assefa , Martin Keller-Ressel

We give a short and self-contained proof of Levi's Extension Lemma for pseudoline arrangements.

Computational Geometry · Computer Science 2019-10-15 Marcus Schaefer

This paper proposes a methodology to estimate characteristic functions of stochastic differential equations that are defined over polynomials and driven by L\'evy noise. For such systems, the time evolution of the characteristic function is…

Optimization and Control · Mathematics 2017-11-20 Khem Raj Ghusinga , Andrew Lamperski , Abhyudai Singh

It is well known that phase function methods allow for the numerical solution of a large class of oscillatory second order linear ordinary differential equations in time independent of frequency. Unfortunately, these methods break down in…

Numerical Analysis · Mathematics 2025-06-04 Richard Chow , James Bremer

This paper presents an approach to lemma synthesis to support advanced inductive entailment procedures based on separation logic. We first propose a mechanism where lemmas are automatically proven and systematically applied. The lemmas may…

Programming Languages · Computer Science 2018-05-15 Quang Loc Le
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