Results 61 to 70 of about 160,421 (323)
Applied Sciences, 2021 This paper presents and first scientifically substantiates the generalized theory of binomial number systems (BNS) and the method of their formation for reliable digital signal processing (DSP), transmission, and data storage.
Oleksiy Borysenko +2 more
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On sums of binomial coefficients [PDF]
Proyecciones (Antofagasta)We investigate the integral representation of infinite sums involving the ratio of binomial coefficients. We also recover some wellknown properties of ζ (3) and extend the range of results given by other authors.
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Arthritis Care &Research, Accepted Article.Objectives This study aims to develop hip morphology‐based radiographic hip osteoarthritis (RHOA) risk prediction models and investigates the added predictive value of hip morphology measurements and the generalizability to different populations. Methods We combined data from nine prospective cohort studies participating in the World COACH consortium ...
Myrthe A. van den Berg +26 more
wiley +1 more source
Le Matematiche, 1996 We specialise an ingeniously contrived identity to obtain a plethora of startling combinatorial identities. Limiting cases include well known evaluations of ζ(2), ζ(4) and ζ(6).
Chu Wenchang
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Can we detect Gaussian curvature by counting paths and measuring their length?
Revista Integración, 2020 The aim of this paper is to associate a measure for certain sets of paths in the Euclidean plane R2 with fixed starting and ending points. Then, working on parameterized surfaces with a specific Riemannian metric, we define and calculate the integral of ...
Leonardo A. Cano G., Sergio A. Carrillo
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Gauss Sums and Binomial Coefficients
Journal of Number Theory, 2002 Let \(p= tn+r\) be a prime which splits in \(\mathbb{Q}(\sqrt{-t})\) where \(t\) has one of the following forms \[ \begin{aligned} t= k>3 &\;\text{ for a prime } k\equiv 3\pmod 4,\\ t= 4k &\;\text{ for a prime } k\equiv 1\pmod 4,\\ t= 8k &\;\text{ for an odd prime } k.
Sang Geun Hahn, Dong Hoon Lee
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Divisibility of binomial coefficients by powers of two
, 2017 For nonnegative integers $j$ and $n$ let $\Theta(j,n)$ be the number of entries in the $n$-th row of Pascal's triangle that are not divisible by $2^{j+1}$. In this paper we prove that the family $j\mapsto\Theta(j,n)$ usually follows a normal distribution.
Spiegelhofer, Lukas, Wallner, Michael
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Magnetic Unclonable Functions Leveraging Remanence and Anhysteretic States
Advanced Functional Materials, EarlyView.A micrometric array of magnetic pillars provides a stable and unclonable hardware for generating cryptographic keys. From a single device, the ability is demonstrated to produce a 470‐bit key while also offering a reconfigurable mode of operation.
Alessandro Magni +6 more
wiley +1 more source
Harmonic number identities via polynomials with r-Lah coefficients
Comptes Rendus. Mathématique, 2020 In this paper, polynomials whose coefficients involve $r$-Lah numbers are used to evaluate several summation formulae involving binomial coefficients, Stirling numbers, harmonic or hyperharmonic numbers.
Kargın, Levent, Can, Mümün
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Seamlessly Machine‐Knitted Multi‐Sensor Garment to Monitor and Quantify Dynamic Upper Body Movement
Advanced Sensor Research, EarlyView.A seamlessly machine‐knitted multi‐sensor garment, that can detect multiplanar dynamic shoulder and elbow motion, is demonstrated. The garment has four strain sensors connected to a circuit board via flexible interconnects, with all components integrated into the fabric in a single manufacturing step.
Ying Yi Tan +6 more
wiley +1 more source