Search

41st International Conference on High Energy Physics, ICHEP2022, Bologna, Italy, 6 Jul 2022 - 13 Jul 2022; Proceedings of Science / International School for Advanced Studies (ICHEP2022), 797 (2023). doi:10.22323/1.414.0797, We discuss a new determination of the strong coupling at the $\tau$-mass scale, $\alpha_s(m_\tau^2)$, based on a new vector isovector spectral function, which combines ALEPH and OPAL spectra for the dominant $2\pi$ and $4\pi$ decay channels with estimates for several sub-leading contributions obtained using CVC from recently measured electroproduction cross-sections, as well as results for $\tau\to K^- K^0\nu_\tau$ obtained by BaBar. This fully inclusive vector isovector spectral function is entirely based on experimental data, and no longer relies on Monte Carlo input for any of the sub-leading modes. We obtain $\alpha_s(m_\tau)=0.3077\pm 0.0075$, corresponding to $\alpha_s(m_Z)=0.1171\pm 0.0010$., Published by SISSA, Trieste

In the present paper, we evaluate the general finite integral invoving the generalized Zeta function and the modified of generalized Aleph-function of two variables.

We show that every infinitely edge-connected graph contains the Farey graph or $$T_{\aleph _0}*t$$ T ℵ 0 ∗ t as a minor. These two graphs are unique with this property up to minor-equivalence.

In a paper from 2001 (Journal of the LMS), Diestel and Leader offered a proof that a connected graph has a normal spanning tree if and only if it does not contain a minor from two specific forbidden classes of graphs, all of cardinality $\aleph_1$. Unfortunately, their proof contains a gap, and their result is incorrect. In this paper, we construct a third type of obstruction: an $\aleph_1$-sized graph without a normal spanning tree that contains neither of the two types described by Diestel and Leader as a minor. Further, we show that any list of forbidden minors characterising the graphs with normal spanning trees must contain graphs of arbitrarily large cardinality., Comment: 9 pages. arXiv admin note: text overlap with arXiv:2005.02833

The present paper deals with an application of Jacobi polynomial and multivariable Aleph-function to solve the differential equation of heat conduction in non-homogeneous moving rectangular parallelepiped. The temperature distribution in the parallelepiped, moving in a direction of the length (x-axis) between the limits x = −1 and x = 1 has been considered. The conductivity and the velocity have been assumed to be variables. We shall see two particular cases and the cases concerning Aleph-function of two variables and the I-function of two variables.

In the present paper, we evaluate the general finite integral involving the elliptic integrals of first species and the generalized modified Aleph- function of two variables. At the end, we shall see several corollaries and remarks.

We prove the consistency of $\binom{\mu^+}{\mu}\nrightarrow\binom{\mu^+ \omega_1}{\mu\ \mu}$ where $\mu$ is a strong limit singular cardinal of countable cofinality. This result can be forced at limit of measurable cardinals and at small cardinals like $\aleph_\omega$., Comment: Two open problems were added at the end

Continuing (Fuchino et al. in Arch Math Log, 2020. https://doi.org/10.1007/s00153-020-00730-x), we study the Strong Downward Lowenheim–Skolem Theorems (SDLSs) of the stationary logic and their variations. In Fuchino et al. (2020) it has been shown that the SDLS for the ordinary stationary logic with weak second-order parameters $$\textsf {SDLS}({\mathcal {L}}^{\aleph _0}_{stat},{\aleph _2$$ . This SDLS is shown to be equivalent to an internal version of the Diagonal Reflection Principle down to an internally stationary set of size $${

For a compact space $K$ we consider the space $P(K)$, of probability regular Borel measures on $K$, equipped with the $weak^\ast$ topology inherited from $C(K)^\ast$. We discuss possible characterizations of those compact spaces $K$ for which $P(K)$ is $\aleph_0$-monolithic. The main result states that under $\diamondsuit$ there exists a nonseparable Corson compact space $K$ such that $P(K)$ is $\aleph_0$-monolithic but $K$ supports a measure of uncountable type., Comment: 12 pages; final version

A countable semigroup is $$\aleph _0$$ ℵ 0 -categorical if it can be characterised, up to isomorphism, by its first-order properties. In this paper we continue our investigation into the $$\aleph _0$$ ℵ 0 -categoricity of semigroups. Our main results are a complete classification of $$\aleph _0$$ ℵ 0 -categorical orthodox completely 0-simple semigroups, and descriptions of the $$\aleph _0$$ ℵ 0 -categorical members of certain classes of strong semilattices of semigroups.

The aim of this paper is to evaluate an interesting integral involving generalized hypergeometric function and the multivariable Aleph-function. The integral is evaluated with the help of an integral involving generalized hypergeometric function obtained recently by Kim et al. [?]. The integral is further used to evaluate an interesting summation formula concerning the multivariable Aleph-function. A few interesting special cases and corollaries have also been discussed.

We show that the Abraham–Rubin–Shelah Open Coloring Axiom is consistent with a large continuum, in particular, consistent with [Formula: see text]. This answers one of the main open questions from [U. Abraham, M. Rubin and S. Shelah, On the consistency of some partition theorems for continuous colorings, and the structure of [Formula: see text]-dense real order types, Ann. Pure Appl. Logic 325(29) (1985) 123–206]. As in [U. Abraham, M. Rubin and S. Shelah, On the consistency of some partition theorems for continuous colorings, and the structure of [Formula: see text]-dense real order types, Ann. Pure Appl. Logic 325(29) (1985) 123–206], we need to construct names for the so-called preassignments of colors in order to add the necessary homogeneous sets. However, the known constructions of preassignments (ours in particular) only work assuming the [Formula: see text]. In order to address this difficulty, we show how to construct such names with very strong symmetry conditions. This symmetry allows us to combine them in many different ways, using a new type of poset called a partition product. Partition products may be thought of as a restricted memory iteration with stringent isomorphism and coherent-overlap conditions on the memories. We finally construct, in [Formula: see text], the partition product which gives us a model of [Formula: see text] in which [Formula: see text].

Strongly bounded groups are those groups for which every action by isometries on a metric space has orbits of finite diameter. Many groups have been shown to have this property, and all the known infinite examples so far have cardinality at least $2^{\aleph_0}$. We produce examples of strongly bounded groups of many cardinalities, including $\aleph_1$, answering a question of Yves de Cornulier [4]. In fact, any infinite group embeds as a subgroup of a strongly bounded group which is, at most, two cardinalities larger.

Let T be a finite or infinite tree and m the minimum number of vertices moved by the non-identity automorphisms of T. We give bounds on the maximum valence d of T that assure the existence of a vertex coloring of T with two colors that is preserved only by the identity automorphism. For finite m we obtain the bound $$d\le 2^{m/2}$$d≤2m/2 when T is finite, and $$d\le 2^{(m-2)/2}+2$$d≤2(m-2)/2+2 when T is infinite. For countably infinite m the bound is $$d\le 2^m.$$d≤2m. This relates to a question of Babai, who asked whether there existed a function f(d) such that every connected, locally finite graph G with maximum valence d has a 2-coloring of its vertices that is only preserved by the identity automorphism if the minimum number m of vertices moved by each non-identity automorphisms of G is at least $$m\ge f(d)$$m≥f(d). Our results give a positive answer for trees. The trees need not be locally finite, their maximal valence can be $$2^{\aleph _0}$$2ℵ0. For finite m we also extend our results to asymmetrizing trees by more than two colors.

In the paper "Randomizations of Scattered Sentences", Keisler showed that if Martin's axiom for aleph one holds, then every scattered sentence has few separable randomizations, and asked whether the conclusion could be proved in ZFC alone. We show here that the answer is "yes". It follows that the absolute Vaught conjecture holds if and only if every $L_{\omega_1\omega}$-sentence with few separable randomizations has countably many countable models., Comment: 9 pages

Glass Walls: Stories of Tolerance and Intolerance from the Indian Subcontinent and Australia edited by Meenakshi Bharat and Sharon Rundle is a carefully selected, exquisite bouquet of stories that are cathartic, masterfully told and very relevant to our times. This collection makes a genuine attempt to demystify violence that has become an undeniable part of our “everydayness” that more often than not goes unheard or unsaid.

This article presents an approach to the short story “The Aleph” (1945) by Jorge Luis Borges based on the parallel universes subject from two perspectives, the mathematical concept of transfinite, and the everyday life observation. Following Max Tegmark’s hierarchy of the multiverse, it is set out to extend its philosophical content by defining how “The Aleph” argues the idea of the multiverse. On the one hand, this short story is capable of reflecting the motley spatio-temporal state of other simultaneous coexisting universes and, on the other hand, it can compress all its complexity into the simplest figure for its representation, the point. This collapse from the complex to the simple in Borges’ short story shows that the perception of other realities, of other universes, lies in the apparent insignificance of the everyday life.

The relationship between space and time has been frequently studied in Jorge Luis Borges´ literary production, however, there are still many aspects that can be analyzed from different perspectives. The purpose of this project is to develop an analysis of the story "The Aleph" focused on the concept of the chronotope by Mikhail Bakhtin. This author raises the indissolubility of space-time and its influence on the narrative to the point of being decisive for it. Considering the general characteristics of Borges's work, his insistence on reflecting the links between space and time, this research approaches “El Aleph” from a multicultural perspective, including doctrines and religions, as a well as considering its many literary references, which leads to the construction of a chronotope whose definition is eternity and infinity. In this same sense, the relationship of "The Aleph" with the Divine Comedy, by Dante Alighieri, will be considered, as this novel also helps to understand important aspects of the chronotope in the story, as many other literary references. El espacio-tiempo ha sido analizado frecuentemente en las obras de Jorge Luis Borges, no obstante, aún hay muchos aspectos que se pueden estudiar desde diferentes perspectivas. En este caso se pretende realizar un análisis enfocado en el cuento “El Aleph” y teniendo en cuenta el concepto de cronotopo de Mijaíl Bajtín. Este autor plantea la indisolubilidad del espacio-tiempo y la influencia de este en la narración al punto de ser determinante para la misma. De tal manera que, partiendo de las características generales de la obra de Borges, su insistencia en reflexionar acerca del espacio-tiempo, se realizará un acercamiento a “El Aleph”, teniendo en cuenta especialmente que este cuento presenta importantes influencias de diversas doctrinas y tradiciones religiosas, lo cual lleva a la construcción de un cronotopo cuya definición es la eternidad y el infinito. En este mismo sentido, se atenderá también a ciertas referencias metaliterarias de “El Aleph”, como La divina comedia de Dante Alighieri, que ayudan a la comprensión de aspectos importantes del cronotopo en el cuento.

Cilj ovoga rada je teorijski prikazati tematiku predmetnog označivanja i njegovih aspekata te uz odabrane primjere u hrvatskim OPAC-ima ukazati na važnost koju proces predmetnog označivanja posjeduje unutar organizacije informacija. U uvodnome dijelu rada daje se prikaz razvoja prakse i načela predmetnog označivanja, s posebnim naglaskom na područje Republike Hrvatske. Zatim je predstavljeno više tumačenja pojma predmetnog označivanja kako su ga definirali različiti autori te se potom opisuju koraci u postupku predmetnog označivanja. Detaljnije se pojašnjava elementarna jedinica svakog predmetnog označivanja – predmetna odrednica, kroz primjere i načela njihovog dodjeljivanja. Dat je pregled općih načela jezika za predmetno označivanje te se opisuju pravila, sadržaj i zadaće predmetnoga kataloga. Kako ne bi sve ostalo u teoriji, kroz tri primjera unutar pet najpoznatijih hrvatskih mrežnih knjižničnih kataloga (Aleph, CROLIST, Koha, MetelWIN i ZaKi) daje se komentar te uočavaju sličnosti i razlike u dodjeli predmetnih odrednica, ali i samom predmetnom pretraživanju u ovim knjižničnim sustavima.

Hadronisation corrections are crucial in extractions of the strong coupling constant ($\alpha_s$) from event-shape distributions at lepton colliders. Although their dynamics cannot be understood rigorously using perturbative methods, their dominant effect on physical observables can be estimated in singular configurations sensitive to the emission of soft radiation. The differential distributions of some event-shape variables, notably the $C$ parameter, feature two such singular points. We analytically compute the leading non-perturbative correction in the symmetric three-jet limit for the $C$ parameter, and find that it differs by more than a factor of two from the known result in the two-jet limit. We estimate the impact of this result on strong coupling extractions, considering a range of functions to interpolate the hadronisation correction in the region between the 2 and 3-jet limits. Fitting data from ALEPH and JADE, we find that most interpolation choices increase the extracted $\alpha_s$, with effects of up to $4\%$ relative to standard fits. This brings a new perspective on the long-standing discrepancy between certain event-shape $\alpha_s$ fits and the world average., Comment: Fixed typo in elliptic integrals, numerical results unaffected. Journal version

We prove the consistency of $$\mathfrak{u}_{\aleph_\omega} < 2^{\aleph_\omega}$$. We also show that the consistency strength of this statement is the existence of a measurable cardinal $$\kappa$$ with $$o(\kappa) = \kappa^{++}$$ .

We prove a better colouring theorem for $$\aleph_4$$ and even $$\aleph_3$$ . This has a general topology consequence.

We construct a model in which the tree property holds in ${\aleph _{\omega + 1}}$ and it is destructible under $Col\left( {\omega ,{\omega _1}} \right)$. On the other hand we discuss some cases in which the tree property is indestructible under small or closed forcings.

We define a generic Vopěnka cardinal to be an inaccessible cardinal $\kappa$ such that for every first-order language $\mathcal{L}$ of cardinality less than $\kappa$ and every set $\mathscr{B}$ of $\mathcal{L}$-structures, if $|\mathscr{B}| = \kappa$ and every structure in $\mathscr{B}$ has cardinality less than $\kappa$, then an elementary embedding between two structures in $\mathscr{B}$ exists in some generic extension of $V$. We investigate connections between generic Vopěnka cardinals in models of ZFC and the number and complexity of $\aleph_1$-Suslin sets of reals in models of ZF. In particular, we show that ZFC + (there is a generic Vopěnka cardinal) is equiconsistent with ZF + $(2^{\aleph_1} \not\leq |S_{\aleph_1}|)$ where $S_{\aleph_1}$ is the pointclass of all $\aleph_1$-Suslin sets of reals, and also with ZF + $(S_{\aleph_1} = {\bf\Sigma}^1_2)$ + $(\Theta = \aleph_2)$ where $\Theta$ is the least ordinal that is not a surjective image of the reals.

Aleph Magazine was born in Manizales in 1966 and has been uninterruptedly published for 53 years because of the joint efforts of his founder Carlos Enrique Ruiz and his wife Livia Gonzalez. The magazine has allowed the construction of a network that includes poets, storytellers, novelists, essayists, painters, sculptors, and musicians from Latin America and Europe. Although 186 issues have circulated and its collection is complete in 13 Colombian and 13 foreign libraries, it is a poorly studied journal, maybe because it fits what Ana Teresa Martinez (2013) calls “province intellectuals: between the local and the peripheral”.

I construct, in ZFC, a forcing notion that collapses $\aleph _3 $ and preserves all other cardinals. The existence of such a forcing answers a question of Uri Abraham from 1983.

The aim of this paper is to establish a general definite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments. Being unified and general in nature, this integral yield a number of known and new results as special cases. For the sake of illustration, several corollaries are also recorded here as special case of our main results. Publisher's Version

We investigate the possibilities of global versions of Chang’s Conjecture that involve singular cardinals. We show some $$\mathrm{ZFC} $$ ZFC limitations on such principles and prove relative to large cardinals that Chang’s Conjecture can consistently hold between all pairs of limit cardinals below $$\aleph _{\omega ^\omega }$$ ℵ ω ω .

The primarily object of this article is to derive the solutions of modified fractional kinetic equations (MFKEs) containing the incomplete Aleph functions by using the application of Elzaki and inverse Elzaki transforms and hereto we also established some novel results such as the Elzaki transform of well-known the Riemann–Liouville operator and the incomplete Aleph functions (IAFs). The solutions of modified FKEs discusses in this article can be utilized to figures out the variation of the chemical composition in our solar system. In this article, we also see that the character of thermonuclear function is presented in terms of the incomplete ℵ - functions and many more special functions through some interesting corollaries. Finally, we established here a compact and easily figure out solutions in form of incomplete special functions and display the graphs of the obtained results in the end of this article to show the behavior of integral operator of fractional order on reaction rate of the particle. Furthermore, results holds here are also associated to the recent investigation of feasible astrophysical solutions of solar system problems. The derived results notify the known results more precisely.