[2] **viXra:1111.0100 [pdf]**
*submitted on 2011-11-26 10:28:01*

**Authors:** Martiros Khurshudyan

**Comments:** 1 Page.

A new version of Chess game is proposed, where in general case a figure(or figures) has "two faces": white and black. Depending on the position of the figure on the board, it could change its color(face) and be used by opponent. Initially which of figures should have "two faces" as well as positions of the colored cells will be defined by players before game will start.

**Category:** General Mathematics

[1] **viXra:1111.0098 [pdf]**
*replaced on 2013-02-15 23:21:50*

**Authors:** Vyacheslav Telnin

**Comments:** 4 Pages.

Abstract.
There are three main mathematical operations : [1] – addition, [2] - multiplication, [3] – raising
to the power. Also there are three kinds of operands : A – numbers, B – vectors, C – vector
spaces.
This paper shows how to define new kinds of operands : D, E, F, … and new operations :
[4], [5], [6], … ; [0], [-1], [-2], [-3], … .
The study of inverse operations for new operations can open new classes of operands like it
was with the operations [1], [2], [3].
Also there is a way to description of field with spin = 1/3.

**Category:** General Mathematics