Some examples of minimally degenerate Morse functions
نویسندگان
چکیده
منابع مشابه
Perfect Morse Functions and Some Applications
In this paper the perfect Morse functions on a compact manifold are studied. Some constructions of such functions on compact manifolds and some applications are also given.
متن کاملSome examples of the functions of metal ions in biology.
The ways in which certain inorganic elements are used in essential roles within biological systems generally are described. The two roles stressed are (1) electrolytic charge movements and (2) electronic charge movement. The value of helical proteins inside and outside membranes as mechanical coupling devices is analysed.
متن کاملMorse Functions Statistics
We answer a question of V.I. Arnold concerning the growth rate of the number of Morse functions on the two sphere.
متن کاملConstructing discrete Morse functions
Morse theory has been considered a powerful tool in its applications to computational topology, computer graphics and geometric modeling. It was originally formulated for smooth manifolds. Recently, Robin Forman formulated a version of this theory for discrete structures such as cell complexes. It opens up several categories of interesting objects (particularly meshes) to applications of Morse ...
متن کاملProvably Minimally-Distorted Adversarial Examples
The ability to deploy neural networks in realworld, safety-critical systems is severely limited by the presence of adversarial examples: slightly perturbed inputs that are misclassified by the network. In recent years, several techniques have been proposed for increasing robustness to adversarial examples — and yet most of these have been quickly shown to be vulnerable to future attacks. For ex...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1987
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500028340