Formally, and within the general scope of functional analysis, an isolated singularity for a funcion f is any topologically isolated point within an open set where the function is not defined. 展开 关键词: Complex Analysis Mathematics functional analysis Holomorphic Function Mathematical Singularity ...
Singularity theory stands at a cross-road of mathematics, a meeting point where manyareasofmathematicscometogether,suchasgeometry,topologyandalgebra, analysis,di?erential equations and dynamical systems, combinatoricsand number theory, to mention some of them. Thus, one who would write a book about ...
Periodic solutions of some singular dynamical systems are sought, under assumptions which include the case of Newtonian potential generated by a mass concentrated in a point. A result concerning solutions of minimal period is also given. M Degiovanni,F Giannoni,A Marino - Springer Netherlands 被引...
In addition, cognitive control research suggests that motivation is key to the investment of cognitive resources64,65,66, such as when trying to understand speech masked by background sounds67,68,69,70,71and an increasing body of work thus focuses on using enjoyable (i.e., motivating) stories...
Hypersurface isolated singularities are considered in the context of algebraic analysis. A method for computing relative 膶ech cohomology representations of algebraic local cohomology classes supported at the isolated singular point is d... S Tajima,Y Nakamura - 《Publications of the Research Institute ...
As used herein, the singular terms “a,”“an,” and “the” include plural referents unless context clearly indicates otherwise. Similarly, the word “or” is intended to include “and” unless the context clearly indicates otherwise. Also, as used herein, the term “comprises” means “inc...
Proteomic analysis of PVC degradation by strain EMBL-1 To obtain further insights into potential enzymes involved in PVC degradation, we carried out a proteomic analysis. Strain EMBL-1 was regrown with PVC film for 30 days before harvesting cells for intracellular (IN) or extracellular (OUT) pro...
[0030] The terms “cancer,”“neoplasm,” and “tumor,” used interchangeably and in either the singular or plural form, refer to cells that have undergone a malignant transformation that makes them pathological to the host organism. Primary cancer cells (that is, cells obtained from near the...
In addition, the articles “a” and “an” as used in this application and the appended claims should generally be construed to mean “one or more” unless specified otherwise or clear from context to be directed to a singular form. Furthermore, the term “set” as employed herein excludes...
Moreover we prove that there is no such curve of solutions for any point on the other part of the boundary. We also establish asymptotic expansions for every (−1)-homogeneous axisymmetric solutions in a neighborhood of the singular point on the unit sphere. 展开 ...