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Some unit square integrals [PDF]
The Ramanujan Journal, 2016 In this article we prove some identities which allow us to evaluate some multiple unit square integrals. In our examples we will give the value of some double and triple integrals. Then, we prove several classical integral formulas with the help of these identities and we present others that seems to be new.
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An extension of Tamari lattices [PDF]
, 2014 For any finite path $v$ on the square grid consisting of north and east unit steps, starting at (0,0), we construct a poset Tam$(v)$ that consists of all the paths weakly above $v$ with the same number of north and east steps as $v$.
Préville-Ratelle, Louis-François +1 more
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Exploring the effectiveness of a COVID-19 contact tracing app using an agent-based model
Scientific Reports, 2020 A contact-tracing strategy has been deemed necessary to contain the spread of COVID-19 following the relaxation of lockdown measures. Using an agent-based model, we explore one of the technology-based strategies proposed, a contact-tracing smartphone app.
Jonatan Almagor, Stefano Picascia
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Frontiers in Neuroinformatics, 2023 IntroductionConventional MRI is routinely used for the characterization of pathological changes in multiple sclerosis (MS), but due to its lack of specificity is unable to provide accurate prognoses, explain disease heterogeneity and reconcile the gap ...
Antonio Ricciardi +18 more
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TRANSLATIVE PACKING TWO SQUARES IN THE UNIT SQUARE
Demonstratio Mathematica, 2003 For a given square \(S\) and a sequence \((S_n)\) of squares in the plane, we say that \((S_n)\) can be translatively packed in \(S\) if there exist translations \(\tau_i\) such that the translates \(\tau_i S_i\) \((i= 1,\dots, n)\) have pairwise disjoint interiors and are subsets of \(S\).
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, 2013 The problem of finding small sets that block every line passing through a unit square was first considered by Mazurkiewicz in 1916. We call such a set {\em opaque} or a {\em barrier} for the square. The shortest known barrier has length $\sqrt{2}+ \frac{\
Dumitrescu, Adrian, Jiang, Minghui
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Opinion: more mouse models and more translation needed for ALS
Molecular Neurodegeneration, 2023 Amyotrophic lateral sclerosis is a complex disorder most of which is ‘sporadic’ of unknown origin but approximately 10% is familial, arising from single mutations in any of more than 30 genes.
Elizabeth M.C. Fisher +9 more
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Inteligencia artificial en esclerosis múltiple
Kranion, 2023 La inteligencia artificial (IA) es la rama de la ciencia que tiene como objetivo crear algoritmos capaces de llevar a cabo tareas que normalmente requieren inteligencia humana.
Carmen Tur, Sara Collorone
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Packing Unit Squares in a Rectangle [PDF]
The Electronic Journal of Combinatorics, 2005 For a positive integer $N$, let $s(N)$ be the side length of the minimum square into which $N$ unit squares can be packed. This paper shows that, for given real numbers $a,b\geq 2$, no more than $ab -(a+1-\lceil a\rceil) -(b+1-\lceil b\rceil)$ unit squares can be packed in any $a'\times b'$ rectangle $R$ with $a' < a$ and $b' < b$. From this, we
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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