Results 71 to 80 of about 334,176 (302)
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
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FoundationsWe develop the local convergence of the six order Contraharmonic-mean Newton’s method (CHN) to solve Banach space valued equations. Our analysis approach is two fold: The first way uses Taylor’s series and derivatives of higher orders.
Manoj K. Singh +2 more
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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.
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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
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +7 more
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Construction of a Class of Higher-Order Iterative Techniques and its Convergence in Banach Spaces [PDF]
International Journal of Mathematical, Engineering and Management SciencesWe propose a novel sixth-order convergence scheme for solving scalar equations, based on the weight function approach. This approach provides us with the flexibility to construct new iterative techniques with the same level of convergence.
Sattam Alharbi +3 more
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Molecular Oncology, EarlyView.This review summarizes the transcription factors, repressive chromatin‐modifying complexes, and epigenetic mechanisms that control fetal hemoglobin repression. Notably, many regulators of γ‐globin silencing also function in transcriptional and epigenetic networks that drive cancer, highlighting opportunities to translate advances in hemoglobinopathy ...
Meigen Yu +3 more
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Extended Efficient Multistep Solvers for Solving Equations in Banach Spaces
MathematicsIn this paper, we investigate the local and semilocal convergence of an iterative method for solving nonlinear systems of equations. We first establish the conditions under which these methods converge locally to the solution.
Ramandeep Behl +2 more
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Sensors, 2020 A two-step fifth and a multi-step 5+3r order iterative method are derived, r≥1 for finding the solution of system of nonlinear equations. The new two-step fifth order method requires two functions, two first order derivatives, and the multi-step methods ...
Kalyanasundaram Madhu +3 more
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Molecular Oncology, EarlyView.The cell‐autonomous roles of interferon type 1 vary based on duration and intensity. While acute, robust signaling results in cancer cell cytotoxic effects, sustained, low‐level signaling is associated with tumor‐promoting effects. This review summarizes current research of IFN‐1 in cancer and within the clinical setting, with an emphasis on female ...
Ashlyn Conant +7 more
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