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Fire resistance testing of aluminum-glass partitions [PDF]
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
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Introduction to logical entropy and its relationship to Shannon entropy
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
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Top Coefficients of the Denumerant [PDF]
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
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Arc Spaces and Rogers-Ramanujan Identities [PDF]
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
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Congruences modulo $4$ for the number of $3$-regular partitions
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
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Integrality of hook ratios [PDF]
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
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On Andrews’ Partitions with Parts Separated by Parity
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
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An extension to overpartitions of Rogers-Ramanujan identities for even moduli [PDF]
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
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Fire Resistance of Aluminum-Glass Partitions with a Parallel Structure of Intumescent Layers
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
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Fire reliability of system aluminum-glass partitions [PDF]
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
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