Results 61 to 70 of about 9,925,195 (289)
Stability Analysis and Local Convergence of a New Fourth-Order Optimal Jarratt-Type Iterative Scheme
ComputationIn this work, using the weight function technique, we introduce a new family of fourth-order iterative methods optimal in the sense of Kung and Traub for scalar equations, generalizing Jarratt’s method.
Eulalia Martínez +3 more
doaj +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Two-step secant type method with approximation of the inverse operator
Karpatsʹkì Matematičnì Publìkacìï, 2013 The two-step secant type method with a consistent approximation of the inverse operator for solving nonlinear equations is proposed. The local convergence of the proposed method is studied and the quadratic convergence order is established.
Shakhno S.M., Yarmola H.P.
doaj +3 more sources
MathematicsIn this paper, we present a three-step sixth-order class of iterative schemes to estimate the solutions of a nonlinear system of equations. This procedure is designed by means of a weight function technique.
José J. Padilla +4 more
doaj +1 more source
On family of the Caputo-type fractional numerical scheme for solving polynomial equations
Applied Mathematics in Science and Engineering, 2023 Fractional calculus can be used to fully describe numerous real-world situations in a wide range of scientific disciplines, including natural science, social science, electrical, chemical, and mechanical engineering, economics, statistics, weather ...
Mudassir Shams +5 more
doaj +1 more source
Molecular Oncology, EarlyView.Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park +6 more
wiley +1 more source
On the convergence of the combination technique [PDF]
, 2013 Sparse tensor product spaces provide an efficient tool todiscretize higher dimensional operator equations. The direct Galerkin method in such ansatz spaces may employ hierarchical bases, interpolets, wavelets or multilevel frames. Besides, an alternative
Griebel, Michael +3 more
core +1 more source
Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.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
Multiplicative order convergence in $f$-algebras
Hacettepe Journal of Mathematics and Statistics, 2020 A net $(x_\alpha)$ in an $f$-algebra $E$ is said to be multiplicative order convergent to $x\in E$ if $\left|x_\alpha-x\right|u\oc 0$ for all $u\in E_+$. In this paper, we introduce the notions $mo$-convergence, $mo$-Cauchy, $mo$-complete, $mo$-continuous, and $mo$-KB-space. Moreover, we study the basic properties of these notions.
openaire +5 more sources
Mathematische Nachrichten, 1989 AbstractThe kind of convergence induced in subsets of posets by order‐convergence is characterized: it is separated regular Fréchet filter convergence. An order‐convergence completion for posets and progroups is presented.
Yihui, Zhou, Bin, Zhao
openaire +2 more sources