Results 121 to 130 of about 160,421 (323)
Alu Overexpression Leads to an Increased Double‐stranded RNA Signature in Dermatomyositis
Arthritis &Rheumatology, Accepted Article.Objective Dermatomyositis is an autoimmune condition characterized by a high interferon signature of unknown etiology. Because coding sequences constitute <1.2% of our genomes, there is a need to explore the role of the non‐coding genome in disease pathogenesis.
Rayan Najjar +2 more
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Representations and binomial coefficients
Annals of Representation TheoryFor a root system R, a field K and a "choice of coefficients in K" we define a category of graded spaces with operators and study some of its properties. Then we assume that the coefficients are given by quantum binomials. We use basic arithmetic properties of binomial coefficients (such as q-versions of Lucas' theorem and the Pfaff-Saalschütz identity)
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A note on balancing binomial coefficients
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2015 In 2014, T. Komatsu and L. Szalay studied the balancing binomial coefficients. In this paper, we focus on the following Diophantine equation $$\binom{1}{5}+\binom{2}{5}+...+\binom{x-1}{5}=\binom{x+1}{5}+...+\binom{y}{5}$$ where $y>x>5$ are integer unknowns. We prove that the only integral solution is $(x,y)=(14,15)$. Our method is mainly based on
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ON DIVISIBILITY OF BINOMIAL COEFFICIENTS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractIn this paper, motivated by Catalan numbers and higher-order Catalan numbers, we study factors of products of at most two binomial coefficients.
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British Educational Research Journal, EarlyView.Abstract The current study aimed to investigate whether negative student–teacher relationships and within‐class perceptions of the class climate at the individual level, and positive class climates at the classroom level in fifth grade, were associated with traditional bullying and cyberbullying perpetration 1 year later, in sixth grade, in a sample of
Robert Thornberg +3 more
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On divisors of binomial coefficients, I
Journal of Number Theory, 1985 It is a well-known conjecture that for \(n>4\), the middle binomial coefficient \(\binom{2n}{n}\) is never squarefree. In this paper it is shown that this conjecture is true for all sufficiently large n. More precisely, let \(\binom{2n}{n}=s(n)^2 q(n)\) be the unique decomposition into a square \(s(n)^ 2\) and a squarefree integer q(n).
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A matrix generalization of a theorem of Fine
, 2018 In 1947 Nathan Fine gave a beautiful product for the number of binomial coefficients $\binom{n}{m}$, for $m$ in the range $0 \leq m \leq n$, that are not divisible by $p$.
Rowland, Eric
core
Greening the Narrative: How Organizational Culture Impacts Environmental Disclosures
Business Strategy and the Environment, EarlyView.ABSTRACT In light of existential dangers to our planet, the urgency to reevaluate corporate practices has never been more palpable. With an emphasis on disclosures, this groundbreaking research sets out to analyze the complex relationship between corporate culture and its significant influence on environmental sustainability within firms.
Gurmani Chadha +2 more
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An Investigation of Hyperostosis Frontalis Interna in a Modern Anatomical Body Donor Population
Clinical Anatomy, EarlyView.ABSTRACT This research sought to examine the prevalence and severity of hyperostosis frontalis interna (HFI) in the Chicagoland anatomical body donor population. The study further aimed to elucidate potential demographic risk factors for HFI, including sex, age at death, and structural vulnerability index (SVI), as well as any common comorbidities, as ...
Amy C. Beresheim, Amanda Hall
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Exponential sums related to binomial coefficient parity [PDF]
, 1980 Alan H. Stein
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