Results 81 to 90 of about 13,863,270 (332)
Bolzano's continuous but nowhere differentiable function
, 2016 Continuous function, no differentiable functions, limitBolzano discovered this continuous but nowhere differentiable function before 1831, but these investigations were not published until 1930. Weierstrass found an analogous function in 1875.
Hafner, Izidor
core +1 more source
Gateaux Differentiability of Convex Functions and Weak Dentable Set in Nonseparable Banach Spaces
Journal of Function Spaces, 2019 In this paper, we prove that if C⁎⁎ is a ε-separable bounded subset of X⁎⁎, then every convex function g≤σC is Ga^teaux differentiable at a dense Gδ subset G of X⁎ if and only if every subset of ∂σC(0)∩X is weakly dentable.
Shaoqiang Shang, Yunan Cui
doaj +1 more source
Differentiating matrix functions [PDF]
Operators and Matrices, 2013 Multivariable, real-valued functions induce matrix-valued functions defined on the space of d-tuples of n-times-n pairwise-commuting self-adjoint matrices. We examine the geometry of this space of matrices and conclude that the best notion of differentiation of these matrix-valued functions is differentiation along curves.
openaire +2 more sources
Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Bolzano's continuous but nowhere differentiable function
, 2011 Continuous function, no differentiable functions, limitBolzano discovered this continuous but nowhere differentiable function before 1831, but these investigations were not published until 1930. Weierstrass found an analogous function in 1875.
Hafner, Izidor
core +1 more source
Advances in Difference Equations, 2020 In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral inequalities for the function whose ...
Muhammad Uzair Awan +5 more
doaj +1 more source
FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
wiley +1 more source
Interpolation and Approximation of Non Differentiable Function Using Polynomial [PDF]
, 2007 In any approximation problem, we concerned with a measure of closeness of polynomial ()xp to a function ()xf. Approximations are often obtained by power series expansions in which the higher order terms are dropped.
Koo, Lee Feng
core
FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
The third axiom of filling properties
Examples and CounterexamplesSince its first appearance in 1983, the filled function method, which was initiated to solve global optimization problems, has developed very rapidly.
Ridwan Pandiya
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