Results 31 to 40 of about 120,359 (315)
This paper introduces a new type of polynomials generated through the convolution of generalized multivariable Hermite polynomials and Appell polynomials.
Mohra Zayed +2 more
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Probabilistic recurrence relations revisited
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Chaudhuri, S., Dubhashi, D.
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On Global Convergence of Third-Order Chebyshev-Type Method under General Continuity Conditions
There are very few papers that talk about the global convergence of iterative methods with the help of Banach spaces. The main purpose of this paper is to discuss the global convergence of third order iterative method.
Fouad Othman Mallawi +2 more
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The mathematics of generalized Fibonacci sequences: Binet's formula and identities [PDF]
This article considers a generalized Fibonacci sequence {Vn} with general initial conditions, V0 = a, V1 = b, and a versatile recurrence relation Vn = pVn-1 + qVn-2, where n ≥ 2 and a, b, p and q are any non-zero real numbers. The generating function and
Verma K.L.
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From omics to AI—mapping the pathogenic pathways in type 2 diabetes
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
wiley +1 more source
Recurrence relations for the midpoint method
In this paper, we present a new convergence analysis and error estimates for the Midpoint method in Banach spaces by using Newton-Kantorovich-type assumptions and a technique based on a new system of recurrence relations. Finally, we give three examples where we improve the error bounds are better given by other authors.
Ezquerro Fernández, José Antonio +2 more
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Microbial exopolysaccharide production by polyextremophiles in the adaptation to multiple extremes
Polyextremophiles are microorganisms that endure multiple extreme conditions by various adaptation strategies that also include the production of exopolysaccharides (EPSs). This review provides an integrated perspective on EPS biosynthesis, function, and regulation in these organisms, emphasizing their critical role in survival and highlighting their ...
Tracey M Gloster, Ebru Toksoy Öner
wiley +1 more source
On hypergeometric Cauchy numbers of higher grade
In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy, and Euler numbers. Cauchy numbers can be generalized to the hypergeometric Cauchy numbers. Recently, Barman et al.
Takao Komatsu, Ram Krishna Pandey
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Single‐cell RNA sequencing reveals an opposite role of SLPI in basal tumors based on metastatic spread, along with shared activation of specific regulons in cancer cells and mature luminal lactocytes, as well as downregulation of MALAT1 and NEAT1 in the latter.
Pietro Ancona +4 more
wiley +1 more source
Recurrence relations based on minimization
AbstractThis paper investigates solutions of the general recurrence M(0) = g(0), M(n + 1) = g(n + 1) + min0⩽k⩽n(αM(k) + βM(n − k)) for various choices of α, β, and g(n). In a large number of cases it is possible to prove that M(n) is a convex function whose values can be computed much more efficiently than would be suggested by the defining recurrence.
Michael L. Fredman, Donald E. Knuth
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