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

**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

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

**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

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

**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

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

**Authors:** Edgar Valdebenito

**Comments:** 10 Pages.

In this paper we show some formulas for the constant Pi

**Category:** General Mathematics

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

**Authors:** Edgar valdebenito

**Comments:** 9 Pages.

In this note we show some formulas for the Fcg(i) constant

**Category:** General Mathematics

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

**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

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

**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

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

**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

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

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

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

**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 CauseEffectCause) 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
CauseEffectCause 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

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

**Authors:** Edgar Valdebenito

**Comments:** 11 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

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

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

In this note we show some formulas related with the constant Pi

**Category:** General Mathematics

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

**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

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

**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

[20] **viXra:1603.0201 [pdf]**
*submitted on 2016-03-13 07:49:50*

**Authors:** Mohsen Soori, Behrooz Arezoo, Mohsen Habibi

**Comments:** 8 Pages. Computer-Aided Design, 45(11), 1306-1313, 2013

Virtual machining systems are applying computers and different types of software in manufacturing and production in order to simulate and model errors of real environment in virtual reality systems. Many errors of CNC machine tools have an effect on the accuracy and repeatability of part manufacturing. Some of these errors can be reduced by controlling the machining process and environmental parameters. However geometrical errors which have a big portion of total error need more attention. In this paper a virtual machining system which simulates the dimensional and geometrical errors of real three-axis milling machining operations is described. The system can read the machining codes of parts and enforce 21 errors associated with linear and rotational motion axes in order to generate new codes to represent the actual machining operation. In order to validate the system free form profiles and surfaces of virtual and real machined parts are compared in order to present the reliability and accuracy of the software.

**Category:** General Mathematics

[19] **viXra:1603.0200 [pdf]**
*submitted on 2016-03-13 07:54:18*

**Authors:** Mohsen Soori, Behrooz Arezoo, Mohsen Habibi

**Comments:** 11 Pages. Journal of Manufacturing Systems, 33(4), 498-507, 2014

Virtual manufacturing systems can provide useful means for products to be manufactured without the need of physical testing on the shop floor. As a result, the time and cost of part production can be decreased. There are different error sources in machine tools such as tool deflection, geometrical deviations of moving axis and thermal distortions of machine tool structures. Some of these errors can be decreased by controlling the machining process and environmental parameters. However other errors like tool deflection and geometrical errors which have a big portion of the total error, need more attention. This paper presents a virtual machining system in order to enforce dimensional, geometrical and tool deflection errors in three-axis milling operations. The system receives 21 dimensional and geometrical errors of a machine tool and machining codes of a specific part as input. The output of the system is the modified codes which will produce actual machined part in the virtual environment.

**Category:** General Mathematics

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

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**Authors:** Ramesh Chandra Bagadi

**Comments:** 3 Pages.

In this research investigation the author presents a novel measure of 'Standard Deviation'.

**Category:** General Mathematics