Integral Conditions on the Schwarzian for Curves to Be Simple or Unknotted
نویسنده
چکیده
By considering integral bounds on the Schwarzian derivative we extend previous results on sufficient conditions for curves in euclidean spaces to be simple or unknotted. The conditions are optimal.
منابع مشابه
A new approach to define batch settling curves for analyzing the sedimentation characteristics
The results of batch settling tests (BST) are used to investigate settling behavior of solids suspension, which contribute to sizing thickeners. Conventional methods in analyzing BST on the basis of visual and graphical procedures lead to sub-optimally sized and selected thickeners. A computational approach based on quantitative analysis of BST can be beneficial. About 300 settling experiments ...
متن کاملOn the Group of Motions of Oriented Unlinked and Unknotted Circles in R. I
We analyze the algebraic structure of the motion group M(n) i.e. of the fundamental group of the space of n unknotted and unlinked simple closed curves in 3 . We derive some relations in the group M(n) and construct some of its representations.
متن کاملComputational Topology Counterexamples with 3D Visualization of Bézier Curves
For applications in computing, Bézier curves are pervasive and are defined by a piecewise linear curve L which is embedded in R and yields a smooth polynomial curve C embedded in R. It is of interest to understand when L and C have the same embeddings. One class of counterexamples is shown for L being unknotted, while C is knotted. Another class of counterexamples is created where L is equilate...
متن کاملAdaptive and intelligent control of permanent magnet synchronous motor (PMSM) using a combination of fuzzy logic and gray wolf algorithm under fault condition
Nowadays, permanent magnet synchronous motors have been widely used in industry due to the elimination of excitation losses, longer life and higher efficiency. Errors in engine and drive systems are unavoidable during operation. Therefore, a suitable scenario should be considered for when these systems fail. If the necessary predictions and control algorithms are not considered for the error co...
متن کاملNumerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials
Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010