1710 Submissions

[7] viXra:1710.0264 [pdf] submitted on 2017-10-23 07:56:01

Question 403: Newton Fractal for F(z)=((1-Z^5)^2 / (1+z^10)) Z

Authors: Edgar Valdebenito
Comments: 7 Pages.

This note presents some fractals related with the function: f(z)=((1-z^5)^2/(1+z^10))-z
Category: Geometry

[6] viXra:1710.0241 [pdf] submitted on 2017-10-22 16:40:29

Mathematical Geometry and Calculus of Numbers

Authors: Paris Samuel Miles-Brenden
Comments: 5 Pages. None.

Category: Geometry

[5] viXra:1710.0147 [pdf] submitted on 2017-10-14 08:51:55

How to Effect a Composite Rotation of a Vector via Geometric (Clifford) Algebra

Authors: James A. Smith
Comments: 13 Pages.

We show how to express the representation of a composite rotation in terms that allow the rotation of a vector to be calculated conveniently via a spreadsheet that uses formulas developed, previously, for a single rotation. The work presented here (which includes a sample calculation) also shows how to determine the bivector angle that produces, in a single operation, the same rotation that is effected by the composite of two rotations.
Category: Geometry

[4] viXra:1710.0137 [pdf] submitted on 2017-10-13 01:17:37

The Modified Dirac Operator

Authors: Antoine Balan
Comments: 5 pages, written in french

The Dirac operator is twisted by a symmetric automorphism, the Dirac-Lichnerowicz formula is proved. An application for the Seiberg-Witten equations is proposed.
Category: Geometry

[3] viXra:1710.0131 [pdf] submitted on 2017-10-11 07:44:42

Question 201: a Fractal Image

Authors: Edgar Valdebenito
Comments: 8 Pages.

This note presents a fractal image for f(z)=ln(1+g(z)).
Category: Geometry

[2] viXra:1710.0127 [pdf] submitted on 2017-10-11 20:27:18

Proof of Happy Ending Problem

Authors: Choe ryujin
Comments: 4 Pages.

Proof of happy ending problem
Category: Geometry

[1] viXra:1710.0110 [pdf] replaced on 2017-10-13 16:26:37

The 4th Spatial Dimension W

Authors: Mauro Bernardini
Comments: 4 Pages. this version corrects some accidental writing errors of the previous loaded version.

This paper attempts to provide a new vision on the 4th spatial dimension starting on the known symmetries of the Euclidean geometry. It results that, the points of the 4th dimensional complex space are circumferences of variable ray. While the axis of the 4th spatial dimension, to be orthogonal to all the three 3d cartesinan axes, is a complex line made of two specular cones surfaces symmetrical on their vertexes corresponding to the common origin of both the real and complex cartesian systems.
Category: Geometry