Results 31 to 40 of about 71,665 (219)

On the number of partitions of a number into distinct divisors [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Let p_{dsd}(n) be the number of partitions of n into distinct squarefree divisors of n. In this note, we find a lower bound for p_{dsd}(n), as well as a sequence of n for which p_{dsd} (n) is unusually large.
Noah Lebowitz-Lockard, Joseph Vandehey
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

Some Modular Relations Analogues to the Ramanujan’s Forty Identities with Its Applications to Partitions

open access: yesAxioms, 2013
Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan
Nasser Abdo Saeed Bulkhali   +1 more
doaj   +1 more source

A q-Series Congruence Inspired by Andrews and Ramanujan

open access: yesAxioms, 2023
For each s∈{1,3,5}, we consider Rs(n) to be the number of the partitions of n into parts not congruent to 0, ±s(mod12). In recent years, some relations for computing the value of R3(n) were studied.
Mircea Merca
doaj   +1 more source

The genesis of the sports clubs movement in Poland

open access: yesJournal of Education, Health and Sport, 2020
The formation of the first Polish sports associations is not only an important stage in the development of Polish sport, but is also a crucial element of Polish tradition and culture.
Piotr Kędzia
doaj   +1 more source

Ramanujan-type congruences modulo 4 for partitions into distinct parts

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper, we consider the partition function Q(n) counting the partitions of n into distinct parts and investigate congruence identities of the form Q(p⋅n+p2-124)≡0   (mod4),Q\left( {p \cdot n + {{{p^2} - 1} \over {24}}} \right) \equiv 0\,\,\,\left(
Merca Mircea
doaj   +1 more source

Establishing an Apheresis Medicine Program in a Resource‐Constrained Setting: A 5‐Year Experience From Lagos, Nigeria

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Establishing a comprehensive apheresis medicine program in a resource‐constrained setting presents significant structural, financial, and logistical challenges. Despite the growing clinical importance of apheresis services globally, published experience from sub‐Saharan Africa remains sparse.
Folasade Adelekan‐Popoola   +4 more
wiley   +1 more source

The Homological Nature of Entropy

open access: yesEntropy, 2015
We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions.
Pierre Baudot, Daniel Bennequin
doaj   +1 more source

Diversity and complexity in neural organoids

open access: yesFEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

open access: yesFEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

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