Results 31 to 40 of about 1,205,068 (305)
Inequalities for Binomial Coefficients
Journal of Mathematical Analysis and Applications, 1999 For any real number \(r\) with \(r>1\), let \(c_r= (2\pi(1-{1\over r}))^{-1/2}\) and \(d_r= (r-1)/(1-{1\over r})^r\). Let \(B_{2m}\) \((m= 1,2,\dots)\) be the Bernoulli numbers defined by \[ {z\over e^z-1}=1-{z\over 2}+\sum^\infty_{m=1} B_{2m}{z^{2m}\over (2m)!}.
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Prime constellations in triangles with binomial coefficient congruences [PDF]
, 2009 summary:The primality of numbers, or of a number constellation, will be determined from residue solutions in the simultaneous congruence equations for binomial coefficients found in Pascal’s triangle. A prime constellation is a set of integers containing
Ericksen, Larry
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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
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Constructing Arbitrage-free Binomial Models [PDF]
, 2004 Wöster C. Constructing Arbitrage-free Binomial Models. Discussion paper / Fakultät für Wirtschaftswissenschaften, Universität Bielefeld. Bielefeld: Universität Bielefeld; 2004.In the past decades several versions of the binomial model for option pricing,
Wöster, Christoph
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Reserves, Injury Severity, and Outcomes in Traumatic Brain Injury: A CENTER‐TBI Observational Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Reserve refers to the brain's ability to maintain function after an injury and strongly relates to traumatic brain injury (TBI) outcomes. This study examined (1) whether associations between pre‐injury reserve proxies and outcomes differed across injury severity categories, and (2) whether the impact of injury severity varied across ...
Natascha Ekdahl +6 more
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Association Between Neurofilament Light Chain and Real‐World Ambulatory Function in Progressive MS
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Neurofilament light chain (NfL) is a biomarker of neuroaxonal injury in multiple sclerosis (MS), yet associations with functional outcomes remain unclear. Longitudinal associations between serum NfL (sNfL) and daily step count (STEPS) from wearable devices were assessed in a large international progressive MS cohort.
Gabby B. Joseph +5 more
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Exact Posterior distribution of risk ratio in the Kumaraswamy–Binomial model
Comptes Rendus. Mathématique, 2023 In categorical data analysis, the $2\times 2$ contingency tables are commonly used to assess the association between groups and responses, this is achieved by using some measures of association, such as the contingency coefficient, odds ratio, risk ...
Andrade, Jose A. A., Rathie, Pushpa
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Negation of binomial coefficients
Discrete Mathematics, 2008 We extend the concept of a binomial coefficient to all integer values of its parameters. Our approach is purely algebraic, but we show that it is equivalent to the evaluation of binomial coefficients by means of the @C-function. In particular, we prove that the traditional rule of ''negation'' is wrong and should be substituted by a slightly more ...
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Arthritis Care &Research, EarlyView.Objective We aimed to construct and evaluate the first laboratory‐based frailty index (FI‐Lab) for predicting adverse outcomes in systemic lupus erythematosus (SLE) and to compare its predictive ability to that of an existing clinical FI. Methods We used data from a single‐center prospective cohort of adult patients with SLE whose baseline visit ...
Grace Burns +2 more
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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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