General Mathematics

2306 Submissions

[6] viXra:2306.0159 [pdf] submitted on 2023-06-28 17:49:03

Series with Generalized Complex Harmonic Numbers of Order 1

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we give some complex series related to Pi.
Category: General Mathematics

[5] viXra:2306.0140 [pdf] submitted on 2023-06-24 03:20:28

The Determinant of Cubic-Matrix of Order 2 and Order 3, Some Basic Properties and Algorithms

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

Based on geometric intuition, in this paper we are trying to give an idea and visualize the meaning of the determinants for the cubic-matrix. In this paper we have analyzed the possibilities of developing the concept of determinant of matrices with three indexed 3D Matrices.We define the concept of determinant for cubic-matrix of order 2 and order 3, study and prove some basic properties for calculations of determinants of cubic-matrix of order 2 and 3.Furthermore we have also tested several square determinant properties and noted that these properties also are applicable on this concept of 3D Determinants.
Category: General Mathematics

[4] viXra:2306.0107 [pdf] submitted on 2023-06-17 23:47:35

I! (i Factorial)

Authors: Leonardo Rubino
Comments: 8 Pages.

Here is a proof of the value of i Factorial, according to my point of view.
Category: General Mathematics

[3] viXra:2306.0096 [pdf] submitted on 2023-06-16 19:01:51

Note on the Function Exp(x Arctan(x))

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we give two infinite products for exp(x arctan(x)).
Category: General Mathematics

[2] viXra:2306.0082 [pdf] submitted on 2023-06-13 06:25:39

Estimation of Percentile Score Based on Marks Obtained in an Examination: A Simple Mathematical Model

Authors: Sudipto Roy
Comments: 9 Pages. This article describes the formulation of a very simple mathematical model, leading to the derivation of a simple formula, expressing the percentile score as a function of the percentage of marks obtained in an examination.

In order to find whether a student is eligible for admission to higher academic institutions, it is often necessary to estimate the percentile score of the student, based on the marks obtained in a competitive examination. In the present article, we have discussed a very simple mathematical model to calculate the percentile score based on marks. For this purpose, we have defined a function representing the probability that a certain fraction of the syllabus has been studied by a candidate before appearing for the examination. Another function has been derived, in terms of that fraction, representing the probable percentage of marks obtained by the candidate. Using these functions, we have derived expressions for the expected percentile score and the rank of the candidate in terms of the percentage of marks. To determine the values of the constant parameters involved in the present model, one is supposed to use the marks-versus-percentile-versus-rank data obtained from the results of previous years. Due to the unavailability of these data, we have used different combinations of values of the parameters to show graphically how the percentile score and rank of a candidate vary as functions of the percentage of marks obtained in the examination.
Category: General Mathematics

[1] viXra:2306.0017 [pdf] submitted on 2023-06-03 01:22:26

Cartesian Cube Category with Involution

Authors: Tesla Zhang
Comments: 10 Pages.

This note records what I learned in the recent week regarding cubical type theory, from multiple sources. In the end I included some guesses.
Category: General Mathematics