Results 41 to 50 of about 55,236 (313)
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 ...
openaire +1 more source
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
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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Sum of the Summation of Binomial Expansions with Optimized Binomial Coefficient
, 2022 This paper presents the summations of binomial expansions with the optimized binomial coefficients and also the sum of multiple summations of the binomial coefficients.
Chinnaraji Annamalai
core +1 more source
Correlated Charge Transport in an Organic Coulomb Glass
Advanced Materials, EarlyView.ABSTRACT Advances in the development of organic field‐effect transistors (OFETs), electrically gated organic semiconductors (EGOFETs), and organic electrochemical transistors (OECTs) allow for the operation of these devices at very high charge‐carrier densities, where Coulomb interactions between carriers can be expected to become significant.
Magdalena Sophie Dörfler +3 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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Advanced Optical Materials, EarlyView.Multimodal perovskite nanocrystals enable optical thermometry across multiple excitation and emission regimes, spanning the UV–Vis–NIR spectral range. By combining upconversion, downshifting, and persistent luminescence, the platform bridges conventional Boltzmann and non‐Boltzmann thermometric approaches.
Adrian Drozdowski +2 more
wiley +1 more source
Vieta's triangular array and a related family of polynomials
International Journal of Mathematics and Mathematical Sciences, 1991 If n≥1, let the nth row of an infinite triangular array consist of entries B(n,j)=nn−j(jn−j), where 0≤j≤[12n].
Neville Robbins
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Quotients of sequences under the binomial convolution [PDF]
Notes on Number Theory and Discrete MathematicsThis paper gives expressions for the solution {a(n)} of the equation Σ_{k=0}^{n} (n choose k)a(k)b(n-k)=c(n),n=0,1,2,..., where b(0) ≠ 0, that is, of the equation a ○ b = c in a, where ○ is the binomial convolution.
Pentti Haukkanen
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