Results 41 to 50 of about 210,761 (283)

Inverse scattering of Canonical systems and their evolution [PDF]

, 2013
In this work we present an analogue of the inverse scattering for Canonical systems using theory of vessels and associated to them completely integrable systems. Analytic coefficients fits into this setting, significantly expanding the class of functions
Melnikov, Andrey
core   +1 more source

The Logarithmic Derivative in Scientific Data Analysis

Encyclopedia
The logarithmic derivative has been shown to be a useful tool for data analysis in applied sciences because of either simplifying mathematical procedures or enabling an improved understanding and visualization of structural relationships and dynamic ...
Ruediger Grunwald
doaj   +1 more source

A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results

Journal of Telecommunications and Information Technology, 2023
In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE).
Slimane Benmahmoud
doaj   +1 more source

Ghosts of Critical Gravity

, 2011
Recently proposed "critical" higher-derivative gravities in $AdS_D$ $D>3$ are expected to carry logarithmic representation of the Anti de Sitter isometry group. In this note, we quantize linear fluctuations of these critical gravities, which are known to
Porrati, Massimo, Roberts, Matthew M.
core   +1 more source

The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution [PDF]

, 2002
We study the energy dependence of the saturation momentum in the context of the collinearly improved Leading and Next to Leading BFKL evolution, and in the presence of saturation boundaries.
Altarelli, Armesto, Balitsky, Balitsky, Balitsky, Balitsky, Camici, Camici, Ciafaloni, Ciafaloni, Ciafaloni, Ciafaloni, D.N. Triantafyllopoulos, Dokshitzer, Fadin, Ferreiro, Golec-Biernat, Golec-Biernat, Golec-Biernat, Golec-Biernat, Gotsman, Gribov, Gribov, Iancu, Iancu, Iancu, Iancu, Jalilian-Marian, Jalilian-Marian, Jalilian-Marian, Kharzeev, Kovchegov, Kovchegov, Kovchegov, Kovchegov, Kuraev, Levin, Lipatov, McLerran, McLerran, McLerran, Mueller, Mueller, Mueller, Mueller, Ross, Salam, Salam, Weigert   +48 more
core   +2 more sources

The q-Difference Theorems for Meromorphic Functions of Several Variables

Abstract and Applied Analysis, 2014
We investigate q-shift analogue of the lemma on logarithmic derivative of several variables. Let f be a meromorphic function in ℂn of zero order such that f(0)≠0, ∞, and let q∈ℂn\{0}.
Zhi-Tao Wen
doaj   +1 more source

A reduction technique to solve the generalized nonlinear dispersive mK(m,n) equation with new local derivative

Results in Physics, 2022
In this work, we consider the generalized nonlinear dispersive mK(m,n) equation with a recently defined local derivative in the temporal direction. Different types of exact solutions are extracted by Nucci’s reduction technique.
Fang-Li Xia, Fahd Jarad, Mir Sajjad Hashemi, Muhammad Bilal Riaz   +3 more
doaj   +1 more source

Genetic attenuation of ALDH1A1 increases metastatic potential and aggressiveness in colorectal cancer

Molecular Oncology, EarlyView.
Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova, Zuzana Kozovska, Ondrej Pos, Kristina Pavlov, Sachin Gulati, Peter Makovicky, Kristina Jakic, Monika Burikova, Eva Sedlackova, Barbora Svitkova, Silvia Tyciakova, Vojtech Bystry, Nicolas Blavet, Boris Tichy, Matej Hrnciar, Jaroslav Budis, Miroslav Tomas, Peter Dubovan, Georgina Kolnikova, Veronika Repaska, Nikoleta Mojzesova, Eva Zomborska, Daniel Pindak, Michal Mego, Tomas Szemes, Miroslava Matuskova   +25 more
wiley   +1 more source

TUNNELING THROUGH A BARRIER UNDER TRANSVERSE MAGNETIC FIELD AND 𝑰-𝑽 CHARACTERISTIC

TASK Quarterly, 2018
The case whereby the transmission coefficient through a barrier, sandwiched by semiconductor reservoirs, under bias is provided by a general formula involving the logarithmic wave function derivative at the barrier entrance is now extended to include ...
GEORGE J. PAPADOPOULOS
doaj   +1 more source

A Spatial Structural Derivative Model for Ultraslow Diffusion

, 2017
This study investigates the ultraslow diffusion by a spatial structural derivative, in which the exponential function exp(x)is selected as the structural function to construct the local structural derivative diffusion equation model.
Chen, Wen, Liang, Yingjie, Weberszpil, Jose, Xu, Wei   +3 more
core   +1 more source