Geometry

1810 Submissions

[5] viXra:1810.0295 [pdf] submitted on 2018-10-18 09:47:40

К вопросу о представлении дельта-функции Дирака

Authors: Frants German
Comments: 6 Pages.

В данной заметке мы покажем представление дельта-функции Дирака, которое будем назвать естественным. Существующие способы представления дельта-функции Дирака носят в общем-то искусственный характер.
Category: Geometry

[4] viXra:1810.0283 [pdf] submitted on 2018-10-17 05:53:48

Smoothing using Geodesic Averages

Authors: Jan Hakenberg
Comments: 10 Pages.

Geodesic averages have been used to generalize curve subdivision and Bézier curves to Riemannian manifolds and Lie groups. We show that geodesic averages are suitable to perform smoothing of sequences of data in nonlinear spaces. In applications that produce temporal uniformly sampled manifold data, the smoothing removes high-frequency components from the signal. As a consequence, discrete differences computed from the smoothed sequence are more regular. Our method is therefore a simpler alternative to the extended Kalman filter. We apply the smoothing technique to noisy localization estimates of mobile robots.
Category: Geometry

[3] viXra:1810.0171 [pdf] replaced on 2018-10-14 11:00:59

The Seiberg-Witten Equations for Vector Fields

Authors: Antoine Balan
Comments: 2 pages, written in english

By similarity with the Seiberg-Witten equations, we propose two differential equations, depending of a spinor and a vector field, instead of a connection. Good moduli spaces are espected as a consequence of commutativity.
Category: Geometry

[2] viXra:1810.0068 [pdf] submitted on 2018-10-06 02:12:13

An Introduction to Non-Commutative (Pseudo) Metric Geometry.

Authors: Johan Noldus
Comments: 11 Pages.

We introduce the reader to the problematic aspects of formulating in concreto a suitable notion of geometry. Here, we take the canonical approach and give some examples.
Category: Geometry

[1] viXra:1810.0057 [pdf] submitted on 2018-10-04 09:55:33

Теорема о поляре трёхвершинника

Authors: Franz Hermann
Comments: 17 Pages.

Сформулирована и доказана теорема, ранее не встречавшаяся в литературе по проективной геометрии. На основании «теоремы о поляре трёхвершинника» открывается целый класс задач на построение. Теорема может быть полезна студентам математических факультетов педагогических вузов, а также учителям математики средней школы для проведения факультативных занятий.
Category: Geometry