Results 31 to 40 of about 180,364 (280)
Characteristic polynomials of some min and max matrices
Mathematics OpenIn this paper, we investigate Min matrices [Formula: see text] and Max matrices [Formula: see text] whose entries are [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] and [Formula: see text]. By utilizing combinatorial
Wei Xie
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A Fast Algorithm for Computing Binomial Coefficients Modulo Powers of Two
The Scientific World Journal, 2013 I present a new algorithm for computing binomial coefficients modulo . The proposed method has an preprocessing time, after which a binomial coefficient with can be computed modulo in time.
Mugurel Ionut Andreica
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Descent sets on 321-avoiding involutions and hook decompositions of partitions
, 2014 We show that the distribution of the major index over the set of involutions in S_n that avoid the pattern 321 is given by the q-analogue of the n-th central binomial coefficient.
Barnabei, Marilena +3 more
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Novel Binomial Series without Binomial Coefficients
, 2023 Nowadays, the growing complexity of mathematical and computational modelling demands the simplicity of mathematical equations for solving today’s scientific problems and challenges. For this purpose, a novel binomial series (new binomial theorem) without the binomial coefficients is introduced for computational applications.
openaire +1 more source
Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone +8 more
wiley +1 more source
Some properties of binomial coefficients and their application to growth modelling
Arab Journal of Basic and Applied Sciences, 2018 Some properties of diagonal binomial coefficients were studied in respect to frequency of their units’ digits. An approach was formulated that led to the use of difference tables to predict if certain units’ digits can appear in the values of binomial ...
Vladimir L. Gavrikov
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Generalized Compositions and Weighted Fibonacci Numbers [PDF]
, 2010 In this paper we consider particular generalized compositions of a natural number with a given number of parts. Its number is a weighted polynomial coefficient.
Janjic, Milan
core
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective High‐resolution MRI enables detailed assessment of intracranial vessel wall pathology in moyamoya vasculopathy. We aimed to classify adult moyamoya vasculopathy etiologies using high‐resolution MRI and to examine subtype‐specific associations between high‐resolution MRI features and ischemic infarction.
Guangsong Han +8 more
wiley +1 more source
Some congruence properties of binomial coefficients and linear second order recurrences
International Journal of Mathematics and Mathematical Sciences, 1988 Using elementary methods, the following results are obtained:(I) If p is prime, 0≤m≤n ...
Neville Robbins
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On the $p,q$-binomial distribution and the Ising model
, 2010 A completely new approach to the Ising model in 1 to 5 dimensions is developed. We employ $p,q$-binomial coefficients, a generalisation of the binomial coefficients, to describe the magnetisation distributions of the Ising model.
A. Rosengren +8 more
core +4 more sources