Results 111 to 120 of about 2,807 (221)

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

Artif Intell Rev
Su Z, Liu X, Hamdan LB, Maroulas V, Wu J, Carlsson G, Wei GW, Wei GW.   +7 more
europepmc   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Algebraic Approach to Maximum Likelihood Factor Analysis. [PDF]

Psychometrika
Fukasaku R, Hirose K, Kabata Y, Teramoto K.   +3 more
europepmc   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Spaces and sequences in the hippocampus: a homological perspective. [PDF]

J Comput Neurosci
Babichev A, Vashin V, Dabaghian Y.
europepmc   +1 more source

Computer algebra and Bruce-Roberts Milnor number (Developments in Computer Algebra : Recent Research and Re-Formation of Basic Theory)

Computer algebra and Bruce-Roberts Milnor number (Developments in Computer Algebra : Recent Research and Re-Formation of Basic Theory)
Bruce-Roberts Milnor number is a generarization of the Milnor number, a multiplicity of an isolated critical point of a holomorphic function germ. This number is defined for a critical point of a holomorphic function on a singular variety. In the hypersurface isolated singularity case, Bruce-Roberts Milnor numbers can be considerd in the context of ...
openaire  

On the Non-Trivial Simplification of the Quotient $\frac{\pi^2}{\pi}$ and Its Deep Implications for Modern Mathematics, Theoretical Physics, Computational Number Theory, Algebraic Topology, Differential Geometry, Category Theory, and the General Understanding of the Universe: A Comprehensive, Exhaustive, and Definitive Treatment with Historical, Philosophical, and Epistemological Considerations Regarding the Nature of Mathematical Truth Itself

In this landmark paper, we undertake what is perhaps the most comprehensive, rigorous, and exhaustive investigation ever attempted in the history of mathematical literature regarding the simplification of the expression $\frac{\pi^2}{\pi}$. Through a meticulous application of the fundamental laws of exponentiation, the axioms of real analysis, the ...
openaire   +2 more sources

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution. [PDF]

Sci Rep
Kosari S, Heydari MH, Sattari M, Bayram M.   +3 more
europepmc   +1 more source

Polyvinylidene Fluoride: Reaction Engineering and Applications

Macromolecular Reaction Engineering, EarlyView.
An updated review on polyvinylidene fluoride (PVDF) is presented in this work. Its properties, important areas of application and different methods of production are described, with particular focus on emulsion polymerization, covering the latest advances in formulations and modeling studies.
Burak Hanamirian, Giuseppe Storti, Mattia Sponchioni   +2 more
wiley   +1 more source