Results 91 to 100 of about 104,121,840 (292)
Triple Symmetric Sums of Circular Binomial Products
MathematicsBy employing the generating function approach, 16 triple sums for circular binomial products of binomial coefficients are examined. Recurrence relations and generating functions are explicitly determined.
Marta Na Chen, Wenchang Chu
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Generalized Horadam Polynomials and Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We consider the polynomials hn,m(x) (m ≥ 2) and the numbers hn,m (x = 1), which are the generalized Horadam polynomials and the generalized Horadam numbers, respectively. We also consider the polynomials h(s)n,m(x)- convolutions of the polynomials hn,m(x)
Djordjevic Snezana S. +1 more
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
wiley +1 more source
Applications of recurrence relation
, 2007 Sequences often occur in many branches of applied mathematics. Recurrence relation is a powerful tool to characterize and study sequences. Some commonly used methods for solving recurrence relations will be investigated.
Chuang, Ching-hui
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Recurrence relation associated with the sums of square binomial coefficients
, 2021 Our purpose is to describe the recurrence relation associated to the sums of diagonal elements lying along a finite ray of square binomial triangle. We also give the generating function.
Belbachir, Hac`ene, Mehdaoui, Abdelghani
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An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation
MathematicsIn this work, we present both analytical and numerical solutions to a seven-parameter confluent Heun-type differential equation. This second-order linear differential equation features three singularities: two regular singularities and one irregular ...
Saiful R. Mondal, Varun Kumar
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Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
wiley +1 more source
Recurrence analysis techniques for non-stationary and non-linear data [PDF]
When analysing food consumption data a number of problems arise when one departs from the comparative statics of conventional demand theory. Two of these properties, non-linearity and non-stationarity present a major challenge for econometric modelling ...
John Lingard, Philip Kostov
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Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
Some new families of compositions based on big part restrictions [PDF]
Discrete Mathematics Letters, 2022 Augustine O. Munagi, Mark Shattuck
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