General Mathematics

2307 Submissions

[4] viXra:2307.0067 [pdf] submitted on 2023-07-14 00:05:04

The Integral Seen as the (-1)st Derivative and the Half-Integral

Authors: Leonardo Rubino
Comments: 8 Pages.

The integral seen as the (-1)st derivative and the Half-Integral.
Category: General Mathematics

[3] viXra:2307.0049 [pdf] submitted on 2023-07-10 01:25:29

Some 3D-Determinant Properties for Calculating of Cubic-Matrix of Order 2 and Order 3

Authors: Armend Salihu, Orgest Zaka
Comments: 21 Pages.

In this paper we have studied some properties for determinant-calculating for cubic-matrix of order 2 and order 3. These properties are analogous to some properties for determinants of square matrix we have proved and noted that these properties also are applicable (or not in some details) on this concept for cubic-matrix of orders 2 and 3. All results in this paper, are presented in detail during the theorem proofs.
Category: General Mathematics

[2] viXra:2307.0016 [pdf] submitted on 2023-07-04 15:56:59

Numeric Representation and the Boundary of Pure and Applied Mathematics

Authors: Donald G. Palmer
Comments: 5 Pages. Presented at the Joint Mathematics Meeting in Baltimore, MD January, 17, 2019

Being so basic to mathematics, numeric representational systems touch many areas of the discipline. Numeric systems could be said to lie on the boundary of pure and applied mathematics, providing the means to apply mathematics to the real world and to define how we manipulate numbers. The numeric system we use today is the decimal numeric system, which is a key system underlying current science and technology. This system is over one thousand years old, predating much of our science and technology. It can be argued that this mathematical tool, missing for the ancients, prevented them from attaining technology close to ours.In an analogous manner, discovering an expanded, more powerful numeric system would affect both sides of the pure/applied boundary. Being so basic to measurements, expanding the power of our numeric system could expand what we are able to measure, and hence provide a quantum leap in many areas of science. Being so basic to the concept of number, the expansion could provide new areas for theoretic mathematical investigation, potentially expanding what we think of as a number.This paper will consider characteristics of numeric representation and the potential for expanding our current systems, considering directions to work on and where this might lead.
Category: General Mathematics

[1] viXra:2307.0001 [pdf] submitted on 2023-07-01 21:06:41

I-th Derivative and Half-Derivative of X

Authors: Leonardo Rubino
Comments: 14 Pages.

Here is a proof of the value of the i-th derivative of x, as well as that of the half-derivative of x.
Category: General Mathematics