General Mathematics

1603 Submissions

[33] viXra:1603.0418 [pdf] submitted on 2016-03-31 08:59:45

Hypergeometric 3F2 , Polylogarithm Li2 , Number Pi

Authors: Edgar Valdebenito
Comments: 4 Pages.

In this note we show some formulas related with: Hypergeometric function 3F2 , Polylogarithm function Li2 and Number Pi
Category: General Mathematics

[32] viXra:1603.0405 [pdf] submitted on 2016-03-30 05:34:21

Primeness Test {Version Five}

Authors: Ramesh Chandra Bagadi
Comments: 7 Pages.

In this research investigation, the author has laid out a novel scheme to check whether any number is Prime or not.
Category: General Mathematics

[31] viXra:1603.0396 [pdf] replaced on 2016-09-10 13:38:55

$3\times 3$-Kronecker-Pauli Matrices

Authors: Christian Rakotonirina, Simon Rasamizafy
Comments: 13 Pages.

The properties of what we call inverse-symmetric matrices have helped us for constructing a basis of C^(3×3) which satisfy four properties of the Kronecker generalized Pauli matrices. The Pauli group of this basis has been defined. In using some properties of the Kronecker commutation matrices, bases of C^(5×5) and C^(6×6) which share the same properties have also been constructed.
Category: General Mathematics

[30] viXra:1603.0388 [pdf] submitted on 2016-03-28 13:13:58

Pi Formulas , Part 22

Authors: Edgar Valdebenito
Comments: 10 Pages.

In this paper we show some formulas for the constant Pi
Category: General Mathematics

[29] viXra:1603.0387 [pdf] submitted on 2016-03-28 13:17:44

The Constant Fcg(i) , Generalized Continued Fraction of I

Authors: Edgar valdebenito
Comments: 9 Pages.

In this note we show some formulas for the Fcg(i) constant
Category: General Mathematics

[28] viXra:1603.0375 [pdf] submitted on 2016-03-28 00:57:00

A Locally Linear Transformations And Linear Interpolations Based Forecasting Model For Dynamic State System With Large Number Of Parameters

Authors: Ramesh Chandra Bagadi
Comments: 4 Pages.

In this research investigation, the author has presented 'A Locally Linear Transformations And Linear Interpolations Based Forecasting Model For Dynamic State System With Large Number Of Parameters'.
Category: General Mathematics

[27] viXra:1603.0348 [pdf] submitted on 2016-03-24 05:57:34

The Wave Equation Of The UNiverse

Authors: Ramesh Chandra Bagadi
Comments: 4 Pages.

In this research manuscript, the author has detailed a scheme to construct the Wave Equation of the Universe.
Category: General Mathematics

[26] viXra:1603.0346 [pdf] submitted on 2016-03-24 00:46:29

Critical Analysis of the Foundations of Pure Mathematics

Authors: Temur Z. Kalanov
Comments: 17 Pages.

The critical analysis of the foundations of pure mathematics is proposed. The unity of formal logic and of rational dialectics is methodological basis of the analysis. The main result is as follows: the concept of “mathematical quantity” – starting and central concept in mathematics – is meaningless, erroneous, and inadmissible one because it represents the following formal-logical and dialectical-materialistic errors: negation of existence of the essential sign (feature) of concept (i.e., negation of existence of the essence (content, intension) of the concept) and negation of existence of measure of material object. The correct metrical-geometrical and physical interpretations of mathematical relationships show that the set of standard mathematical functions represents error, mistake, and blunder. Therefore, pure mathematics does not satisfy the general-scientific criterion of truth: practice is criterion of truth. The obtained results lead to the conclusion that the generally accepted foundations of pure mathematics are a false one, and they should be reconsidered.
Category: General Mathematics

[25] viXra:1603.0337 [pdf] submitted on 2016-03-23 08:53:58

Pi Formulas , Part 21

Authors: Edgar Valdebenito
Comments: 5 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[24] viXra:1603.0304 [pdf] submitted on 2016-03-21 09:28:26

Fulfill Your Life {Version 6}

Authors: Ramesh Chandra Bagadi
Comments: 28 Pages.

In this research monograph, the author presents some novel concepts of the aspect of ‘Conservation’ of sense (of belonging to the Language, not necessarily the meaning, the meaning is different) of language when any ‘Samskrutam’ Language Statement is reversed, phonetically {syllable and/ or group of syllables wise forming one unified phonetic construct of concern} wise. Furthermore, the meaning of the considered segments in the onward sense and the meaning of the same considered segment in the reverse and/ or backward sense have a cause-effect-cause (i.e., as in CauseEffectCause) relational sense when such segments are considered cyclically! Furthermore, the author notes that given a meaningful ‘Samskrutam’ language segment one can consider another (sub-set) segment from anywhere (once it is cyclically slated) within this segment and still such segment makes sense (though it may be different). Furthermore, this aspect also satisfies the aforementioned cause-effect-cause meaning aspect detailed above. Furthermore, a ‘Universal Transformation Process Between Any Language Of Concern To Any Other Language Of Concern And Higher And/ Or Lower Order Variants Of Any Language Of Concern’ is presented. Also, a scheme to detect any tempering of ‘Work-Consciousness’ in Samskrutam Language and/ or its Higher Order and/ or lower order variants is presented as we can note that this scheme can also be used a ‘Causality Meter’ and can be used to detect ‘Truth’ regarding CauseEffectCause when the ‘Work-Consciousness’ in Samskrutam Language and/ or its Higher Order and/ or lower order variants is analyzed in the onward (left to right) and the reverse (right to left) and/ or backward directions.
Category: General Mathematics

[23] viXra:1603.0217 [pdf] submitted on 2016-03-15 07:42:22

Pi Formulas , Part 20

Authors: Edgar Valdebenito
Comments: 11 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[22] viXra:1603.0216 [pdf] submitted on 2016-03-15 07:44:34

Pi Formulas , Part 19

Authors: Edgar Valdebenito
Comments: 4 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[21] viXra:1603.0213 [pdf] replaced on 2017-02-27 14:57:02

Now is the Time to Replace pi with Tau.

Authors: Doug Jensen
Comments: 2 Pages.

This article explains why we got started using pi and why we need to switch to tau.
Category: General Mathematics

[20] viXra:1603.0211 [pdf] submitted on 2016-03-14 13:36:17

Double Integrals , Numerical Integration , Euler Constant

Authors: Edgar Valdebenito
Comments: 12 Pages.

In this note we show the numerical integration of some double integrals related with the Euler constant,we use Mathematica tools
Category: General Mathematics

[19] viXra:1603.0205 [pdf] submitted on 2016-03-14 00:37:17

Primesness Test {Version IV}

Authors: Ramesh Chandra Bagadi
Comments: 6 Pages.

In this research investigation, the author presents a ‘Primeness Test’ which can be used to test if any given number is Prime or not.
Category: General Mathematics

[18] viXra:1603.0185 [pdf] submitted on 2016-03-12 05:33:51

A Locally Parameter Element Wise Linear Transformations (Interpolation) Based Forecasting Model For Dynamic State Systems With Large Number Of Parameters

Authors: Ramesh Chandra Bagadi
Comments: 6 Pages.

In this research investigation, the author has presented ‘A Locally Parameter Element Wise Linear Transformations (Interpolation)Based Forecasting Model For Dynamic State Systems With Large Number Of Parameters’.
Category: General Mathematics

[17] viXra:1603.0184 [pdf] submitted on 2016-03-12 06:51:18

Pi Formulas , Part 18

Authors: Edgar Valdebenito
Comments: 16 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[16] viXra:1603.0183 [pdf] submitted on 2016-03-12 06:53:32

Pi Formulas , Part 17

Authors: Edgar Valdebenito
Comments: 10 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[15] viXra:1603.0178 [pdf] submitted on 2016-03-11 22:27:24

He's Variational Iteration Method for the Solution of Nonlinear Newell-Whitehead-Segel Equation

Authors: Amit Prakash, Manoj Kumar
Comments: 11 Pages. Journal of Applied Analysis and Computation, 6(3), 738-748, 2016

In this paper, we apply He's Variational iteration method (VIM) for solving nonlinear Newell-Whitehead-Segel equation. By using this method three dierent cases of Newell-Whitehead-Segel equation have been discussed. Comparison of the obtained result with exact solutions shows that the method used is an eective and highly promising method for solving dierent cases of nonlinear Newell-Whitehead-Segel equation.
Category: General Mathematics

[14] viXra:1603.0177 [pdf] submitted on 2016-03-11 22:32:00

Application of the Variational Iteration Method and the Homotopy Perturbation Method to the Fisher Type Equation

Authors: Mohsen Soori, S. Salman Nourazar, Akbar Nazari-Golshan
Comments: 9 Pages. International Journal of Mathematics and Computation, 27(3), 2016

To obtain the exact solution of the Fisher Type equation, the Variational Iteration Method (VIM) and the Homotopy Perturbation Method (HPM) are used. Obtained results by using the methods are numerically compared to present accuracy of the algorithms in solving the equation. The results prove that the methods are effective and powerful algorithm in order to solve the Fisher type equation as a non-linear differential equation.
Category: General Mathematics

[13] viXra:1603.0176 [pdf] submitted on 2016-03-11 22:36:09

On the Homotopy Perturbation Method for the Exact Solution of Fitzhugh–Nagumo Equation

Authors: Mohsen Soori, S. Salman Nourazar, Akbar Nazari-Golshan
Comments: 9 Pages. International Journal of Mathematics and Computation, 27(1), 2016

In this paper, the Homotopy Perturbation Method (HPM) is used to solve the Fitzhugh–Nagumo non-linear differential equations. In order to obtain the exact solution of Fitzhugh–Nagumo equation, two case study problems of the equation are solved by using the HPM. The trend of the rapid convergence of the sequences constructed by the method towards the exact solution is also numerically shown. As a result, the rapid convergence towards the exact solutions of HPM indicates that the method is powerful and efficient technique to solve the Fitzhugh–Nagumo non-linear differential equations. Also, the results present validity and great potential of the method as a powerful algorithm in order to obtain the exact solution of nonlinear differential equations.
Category: General Mathematics

[12] viXra:1603.0140 [pdf] submitted on 2016-03-09 07:24:20

Pi Formulas , Part 16

Authors: Edgar Valdebenito
Comments: 8 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[11] viXra:1603.0139 [pdf] submitted on 2016-03-09 07:26:43

Pi Formulas , Part 15

Authors: Edgar Valdebenito
Comments: 6 Pages.

In this note we show some formulas related with the constant Pi
Category: General Mathematics

[10] viXra:1603.0129 [pdf] submitted on 2016-03-08 12:27:56

Pi Formulas , Part 13

Authors: Edgar Valdebenito
Comments: 4 Pages.

In this note we give some formulas related to the constant Pi
Category: General Mathematics

[9] viXra:1603.0128 [pdf] submitted on 2016-03-08 12:30:45

Pi Formulas , Part 14 : Pi and Theta Function

Authors: Edgar Valdebenito
Comments: 4 Pages.

In this note we give some formulas for the constant Pi
Category: General Mathematics

[8] viXra:1603.0120 [pdf] submitted on 2016-03-08 00:16:38

A Locally Parameter Element Wise Linear Transformations Based Forecasting Model For Dynamic State Systems With Large Number Of Parameters {Version II}

Authors: Ramesh Chandra Bagadi
Comments: 4 Pages.

In this research investigation, the author has presented ‘A Locally Parameter Element Wise Linear Transformations Based Forecasting Model For Dynamic State Systems With Large Number Of Parameters’.
Category: General Mathematics

[7] viXra:1603.0112 [pdf] submitted on 2016-03-07 12:31:33

Pi Formulas , Part 12 : Special Function

Authors: Edgar Valdebenito
Comments: 6 Pages.

In this note we give some formulas related to the constant Pi
Category: General Mathematics

[6] viXra:1603.0111 [pdf] submitted on 2016-03-07 07:44:35

Pi Formulas , Part 11

Authors: Edgar Valdebenito
Comments: 6 Pages.

In this note we give some formulas related to the constant Pi
Category: General Mathematics

[5] viXra:1603.0106 [pdf] submitted on 2016-03-07 07:12:49

Pi Formulas , Part 10

Authors: Edgar Valdebenito
Comments: 15 Pages.

In this note we give some formulas related to the constant Pi
Category: General Mathematics

[4] viXra:1603.0061 [pdf] submitted on 2016-03-04 07:46:51

On a Transcendental Equation

Authors: Edgar Valdebenito
Comments: 3 Pages.

We show the real roots of a transcendental equation
Category: General Mathematics

[3] viXra:1603.0060 [pdf] submitted on 2016-03-04 07:50:50

Pi Formulas , Part 8 : Integrals,Series,Infinite Products

Authors: Edgar Valdebenito
Comments: 13 Pages.

In this note we give some formulas related to the constant Pi
Category: General Mathematics

[2] viXra:1603.0059 [pdf] submitted on 2016-03-04 07:53:11

Pi Formulas , Part 9

Authors: Edgar Valdebenito
Comments: 4 Pages.

We give some formulas for constant Pi
Category: General Mathematics

[1] viXra:1603.0057 [pdf] submitted on 2016-03-04 08:47:17

A New Measure Of Standard Deviation

Authors: Ramesh Chandra Bagadi
Comments: 3 Pages.

In this research investigation the author presents a novel measure of 'Standard Deviation'.
Category: General Mathematics