Results 121 to 130 of about 156,857 (312)
Computation of Zolotarev Rational Functions
An algorithm is presented to compute Zolotarev rational functions, that is, rational functions $r_n^*$ of a given degree that are as small as possible on one set $E\subseteq\complex\cup\{\infty\}$ relative to their size on another set $F\subseteq\complex\cup\{\infty\}$ (the third Zolotarev problem).
Lloyd N. Trefethen, Heather D. Wilber
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A Rational Approximant for the Digamma Function [PDF]
Power series representations for special functions are computationally satisfactory only in the vicinity of the expansion point. Thus, it is an obvious idea to use instead Padé approximants or other rational functions constructed from sequence transformations.
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Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach +9 more
wiley +1 more source
Rational Arithmetic Mathematica Functions to Evaluate the Two-Sided One Sample K-S Cumulative Sampling Distribution [PDF]
One of the most widely used goodness-of-fit tests is the two-sided one sample Kolmogorov-Smirnov (K-S) test which has been implemented by many computer statistical software packages.
J. Randall Brown, Milton E. Harvey
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On Multivariate Rational Function Decomposition
The authors discuss several notions of decomposition for multivariate rational functions, and they present algorithms for decomposing multivariate rational functions over an arbitrary field. They also provide a very efficient method to decide if a unirational field has transcendence degree one, and in the affirmative case to compute the generator.
Jaime Gutierrez 0001 +2 more
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Translating whole‐genome doubling into precision medicine in cancer
Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
wiley +1 more source
Pharmacological chromatin remodeling enhances response to estrogen therapy in ER+ breast cancer
Estrogen therapy elicits clinical benefit in ~ 30% of patients with endocrine‐resistant estrogen receptor (ER)‐positive breast cancer. Based on findings that ER transcriptional activation underlies response to estrogen therapy, we tested the effects of epigenetic dysregulation via pharmacological inhibition of histone deacetylases (HDACi).
Anneka L. Johnson Thomas +16 more
wiley +1 more source
This study explores the feasibility of expressing the antitumoral protein Amblyomin‐X through a suicide gene therapy approach and investigates its intracellular fate after gene delivery. Although the gene is efficiently expressed, melanoma cells rapidly degrade the Amblyomin‐X protein via proteasome activity.
Victor Dal Posolo Cinel +4 more
wiley +1 more source
Error estimation in the numerical solution of rational functions
In this paper, two methods are described for obtaining estimates of the error of rational functions the Pade\'s and Meahly\'s methods of approximation were used and it was discovered that Maehly\'s proved more accurate than the Pade\'s method.
FO Akinpelu, AA Adetunde, EO Omidiora
doaj +1 more source
On invariant rational functions under rational transformations
Let $X$ be an algebraic variety equipped with a dominant rational self-map $ϕ:X\to X$. A new quantity measuring the interaction of $(X,ϕ)$ with trivial dynamical systems is introduced; the stabilised algebraic dimension of $(X,ϕ)$ captures the maximum number of new algebraically independent invariant rational functions on the cartesian product of $(X ...
Bell, Jason +2 more
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