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Fire resistance testing of aluminum-glass partitions [PDF]

open access: yesArchives of Civil Engineering, 2022
Glass-aluminum building facades, as well as glazed walls intended to construct internal partitions of various types with glass doors, the purpose of which is to create fire zones, must satisfy certain fire resistance requirements stated in the codes. The
Marian Gwóźdź   +2 more
doaj   +1 more source

Introduction to logical entropy and its relationship to Shannon entropy

open access: yes4 open, 2022
We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an “amount of information,” but, as he pointed out, “no concept of information itself was defined.” Logical entropy ...
Ellerman David
doaj   +1 more source

Top Coefficients of the Denumerant [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
For a given sequence $\alpha = [\alpha_1,\alpha_2,\ldots , \alpha_N, \alpha_{N+1}]$ of $N+1$ positive integers, we consider the combinatorial function $E(\alpha)(t)$ that counts the nonnegative integer solutions of the equation $\alpha_1x_1+\alpha_2 x_2+
Velleda Baldoni   +5 more
doaj   +1 more source

Arc Spaces and Rogers-Ramanujan Identities [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
Arc spaces have been introduced in algebraic geometry as a tool to study singularities but they show strong connections with combinatorics as well. Exploiting these relations we obtain a new approach to the classical Rogers-Ramanujan Identities.
Clemens Bruschek   +2 more
doaj   +1 more source

Congruences modulo $4$ for the number of $3$-regular partitions

open access: yesComptes Rendus. Mathématique, 2023
The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-regular partitions of $n$. Notably absent are congruences modulo $4$ for $b_3(n)$. In this paper, we introduce Ramanujan type congruences modulo $4$ for $b_3(2n)$
Ballantine, Cristina, Merca, Mircea
doaj   +1 more source

Integrality of hook ratios [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
We study integral ratios of hook products of quotient partitions. This question is motivated by an analogous question in number theory concerning integral factorial ratios. We prove an analogue of a theorem of Landau that already applied in the factorial
Paul-Olivier Dehaye
doaj   +1 more source

On Andrews’ Partitions with Parts Separated by Parity

open access: yesMathematics, 2021
In this paper, we present a generalization of one of the theorems in Partitions with parts separated by parity introduced by George E. Andrews, and give its bijective proof.
Abdulaziz M. Alanazi, Darlison Nyirenda
doaj   +1 more source

An extension to overpartitions of Rogers-Ramanujan identities for even moduli [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
We investigate class of well-poised basic hypergeometric series $\tilde{J}_{k,i}(a;x;q)$, interpreting these series as generating functions for overpartitions defined by multiplicity conditions.
Sylvie Corteel   +2 more
doaj   +1 more source

Fire Resistance of Aluminum-Glass Partitions with a Parallel Structure of Intumescent Layers

open access: yesSafety & Fire Technology, 2022
Aim: The aim of the article is to verify the fire resistance of aluminum-glass construction partitions with a parallel structure. The paper presents the results of tests in a fire chamber of a selected partition, a leading national manufacturer of ...
Marian Gwóźdź, Michał Marcinowski
doaj   +1 more source

Fire reliability of system aluminum-glass partitions [PDF]

open access: yesArchives of Civil Engineering, 2021
Aluminum-glass partition systems are used as building facades but also as glazed internal walls designated to form various internal partitions with glass doors.
Marian Gwóźdź
doaj   +1 more source

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