Results 121 to 130 of about 13,863,270 (332)

A Continuous, Nowhere-Differentiable Function with a Dense Set of Proper Local Extrema [PDF]

, 1993
In this paper, we use the following scheme to construct a continuous, nowhere-differentiable function which is the uniform limit of a sequence of sawtooth functions ₙ : [0, 1] → [0, 1] with increasingly sharp teeth.
Huggins, Mark C. (Mark Christopher)
core  

CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3

Molecular Oncology, EarlyView.
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh, Nitzan Medina‐Itzhaki, Milena Chekov, Eden Gal‐Swisa, Roba Gabesh‐Wahabi, Inbar Savyon, Inna Naroditsky, Hilary A. Kenny, Basem Fares, Lina Korsensky, Einav Girsh, Liron Berger, Ruth Perets   +12 more
wiley   +1 more source

On some inequalities related to open Newton-Cotes formulas for differentiable convex functions with applications

Miskolc Mathematical Notes
In this paper, first, we prove a novel integral identity involving a single time-differentiable function. Then, we prove some new inequalities associated with one of the open Newton-Cotes formulas for differentiable convex functions.
Ifra Bashir Sial, Sun Mei, Muhammad Aamir Ali, Hüseyin Budak   +3 more
doaj   +1 more source

CD47 promotes mitogen‐activated protein kinase and epithelial‐to‐mesenchymal transition molecular programs to drive prometastatic phenotypes in non‐small cell lung cancer

Molecular Oncology, EarlyView.
Beyond its role in immune evasion, this study identified that CD47 drives tumor‐intrinsic signaling in non‐small cell lung cancer (NSCLC). Transcriptomic profiling and functional studies revealed that CD47 regulates cell adhesion, migration, and metastasis through an ERK–EMT signaling axis.
Asa P.Y. Lau, Lilian G. Zhai, Ryunosuke Hoshi, Zackary Rousseau, Abraam Zakhary, Yin Fang Wu, Rola M. Saleeb, Heyu Ni, Kelsie L. Thu   +8 more
wiley   +1 more source

Heterozygous loss‐of‐function alleles associate the conserved 3′‐5′ exoribonuclease EXOSC10 with hypersensitivity to the anticancer drug 5‐fluorouracil

Molecular Oncology, EarlyView.
EXOSC10, an essential nuclear RNA exosome‐associated 3′‐5′ exoribonuclease, is inhibited by the anticancer drug 5‐fluorouracil (5‐FU), and EXOSC10 depletion increases 5‐FU sensitivity. The colon‐cancer variant EXOSC10S402T, located in a proteolysis motif, is stable and nuclear but nonfunctional in vivo.
Radhika Sain, Yann Le Page, Frédéric Percevault, Emmanuelle Becker, Luc Negroni, Almudena Fernandez, Marta Cantero, Diego Muñoz‐Santos, Lluís Montoliu, Cyrille Garnier, Michael Primig   +10 more
wiley   +1 more source

How to compute tight enclosures for the range of a multi-dimensional differentiable function

, 1999
This paper presents an algorithm to compute tight enclosures for the range of a differentiable function f restricted to an interval vector. The algorithm combines two different approaches: a gradient-based method, and an optimization method. First,
Mata Burgarolas, Nuria
core   +1 more source

Hijacking emergency granulopoiesis: Neutrophil ontogeny and reprogramming in cancer

Molecular Oncology, EarlyView.
Neutrophils are highly plastic innate immune cells; their functions in cancer extend beyond the tumour microenvironment. This Review summarises current understanding of neutrophil maturation and heterogeneity and highlights tumour‐induced granulopoiesis as a systemic programme that expands immature, immunosuppressive neutrophils via tumour‐derived ...
Gabriela Marinescu, Yi Feng
wiley   +1 more source

A Typical Nowhere Differentiable Function

, 1983
We construct an explicit continuous functionFsuch that for each point x, every extended real number is a derived number ofFat x andFhas an infinite left and an infinite right derived number at x.
F. S. Cater
core   +1 more source

An effective computational approach to the local fractional low-pass electrical transmission lines model

Alexandria Engineering Journal
In this research, a new fractional low-pass electrical transmission lines model (LPETLM) described by the local fractional derivative (LFD) is derived for the first time.
Kang-Jia Wang
doaj   +1 more source

On the Taylor Differentiability in Spaces L_p, 0 < p ≤ ∞

Моделирование и анализ информационных систем, 2018
The function \(f\in L_p[I], \;p>0,\) is called \((k,p)\)-differentiable at a point \(x_0\in I\) if there exists an algebraic polynomial of \(\pi\) of degree no more than \(k\) for which holds \( \Vert f-\pi \Vert_{L_p[J_h]} = o(h^{k+\frac{1}{p ...
Anatoly N. Morozov
doaj   +1 more source