General Mathematics

1607 Submissions

[45] viXra:1607.0544 [pdf] submitted on 2016-07-29 01:16:14

Cycle and Armed Cap Cordial Graphs

Authors: A.Nellai Murugan, P.Iyadurai Selvaraj
Comments: 9 Pages.

A graph G is a finite non-empty set of objects called vertices together with a set of unordered pairs of distinct vertices of G which is called edges.
Category: General Mathematics

[44] viXra:1607.0543 [pdf] submitted on 2016-07-29 01:17:42

Entire Equitable Dominating Graph

Authors: B.Basavanagoud, V.R.Kulli, Vijay V. Teli
Comments: 8 Pages.

All graphs considered here are finite, undirected with no loops and multiple edges. We denote by p the order(i.e number of vertices) and by q the size (i.e number of edges) of such a graph G. Any undefined term and notation in this paper may be found in Harary [5].
Category: General Mathematics

[43] viXra:1607.0542 [pdf] submitted on 2016-07-29 01:19:10

K-Difference Cordial Labeling of Graphs

Authors: R.Ponraj, M.Maria Adaickalam, R.Kala
Comments: 11 Pages.

A graph with a k-difference cordial labeling is called a k-difference cordial graph. In this paper we investigate k-difference cordial labeling behavior of star, m copies of star and we prove that every graph is a subgraph of a connected k-difference cordial graph. Also we investigate 3-difference cordial labeling behavior of some graphs.
Category: General Mathematics

[42] viXra:1607.0541 [pdf] submitted on 2016-07-29 01:20:14

Nonsplit Geodetic Number of a Graph

Authors: Tejaswini K M, Venkanagouda M Goudar
Comments: 12 Pages.

We investigate the relationship between nonsplit geodetic number and geodetic number. We also obtain the nonsplit geodetic number in the cartesian product of graphs.
Category: General Mathematics

[41] viXra:1607.0540 [pdf] submitted on 2016-07-29 01:21:59

Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space

Authors: Suha Yılmaz, Umit Ziya Savcı
Comments: 15 Pages.

In this paper, we investigate Smarandache curves according to type-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smarandache curves. Also, some characterizations of Smarandache breadth curves in Euclidean 3-space are presented. Besides, we illustrate examples of our results.
Category: General Mathematics

[40] viXra:1607.0517 [pdf] submitted on 2016-07-27 01:42:32

A DSmT Based System for Writer-Independent Handwritten Signature Verification

Authors: Nassim Abbas, Youcef Chibani, Bilal Hadjadji, Zayen Azzouz Omar, Florentin Smarandache
Comments: 8 Pages.

We propose in this paper a new writer-independent off-line handwritten signature verification (HSV) system using only genuine signatures. This system is based on a combination of two off-line individual HSV systems through the plausible and paradoxical reasoning theory of Dezert-Smarandache (DSmT).
Category: General Mathematics

[39] viXra:1607.0516 [pdf] submitted on 2016-07-27 01:44:24

International Journal of Mathematical Combinatorics

Authors: Linfan MAO, Guohua Song
Comments: 168 Pages.

The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 100-150 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandachemulti-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.
Category: General Mathematics

[38] viXra:1607.0513 [pdf] submitted on 2016-07-27 01:49:30

Multi-Criteria Decision Making Method for N-Wise Criteria Comparisons and Inconsistent Problems

Authors: A. Elhassouny, Florentin Smarandache
Comments: 32 Pages.

The purpose of this paper is to present an alternative of a hybrid method based on Saaty’s Analytical Hierarchy Process and on the Technique for Order Preference by using the Similarity to Ideal Solution method (AHP-TOPSIS) and, based on the AHP and its use of pairwise comparisons, to extend it to a new method called α-D MCDMTOPSIS (α-Discounting Method for multi-criteria decision making-TOPSIS).
Category: General Mathematics

[37] viXra:1607.0512 [pdf] submitted on 2016-07-27 01:50:59

Neutrosophic Quantum Computer

Authors: Florentin Smarandache
Comments: 7 Pages.

This paper is a theoretical approach for a potential neutrosophic quantum computer to be built in the future, which is an extension of the classical theoretical quantum computer, into which the indeterminacy is inserted.
Category: General Mathematics

[36] viXra:1607.0506 [pdf] submitted on 2016-07-27 02:00:16

PCR5 and Neutrosophic Probability in Target Identification

Authors: F.Smarandache, N.Abbas, Y.Chibani, B.Hadjadji, Z.A.Omar
Comments: 6 Pages.

In this paper we use PCR5 in order to fusion the information of two sourcesproviding subjective probabilities of an event A to occur in the following form: chance that A occurs, indeterminate chance of occurrence of A, chance that A does not occur.
Category: General Mathematics

[35] viXra:1607.0505 [pdf] submitted on 2016-07-27 02:01:36

Similarity Measure of Refined Single-Valued Neutrosophic Sets and Its Multicriteria Decision Making Method

Authors: Jun Ye, Florentin Smarandache
Comments: 4 Pages.

This paper introduces a refined single-valued neutrosophic set (RSVNS) and presents a similarity measure of RSVNSs. Then a multicriteria decisionmaking method with RSVNS information is developed based on the similarity measure of RSVNSs. By the similarity measure between each alternative and the ideal solution (ideal alternative), all the alternatives can be ranked and the best one can be selected as well. Finally, an actual example on the selecting problems of construction projects demonstrates the application and effectiveness of the proposed method.
Category: General Mathematics

[34] viXra:1607.0504 [pdf] submitted on 2016-07-27 02:03:14

Standard Neutrosophic Soft Theory: Some First Results

Authors: Bui Cong Cuong, Pham Hong Phong, Florentin Smarandache
Comments: 12 Pages.

The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe.Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper, the notion of neutrosophic soft set is reanalysed. The novel theory is a combination of neutrosophic set theory and soft set theory. The complement, “and”, “or”, intersection and union operations are defined on the neutrosophic soft sets. The neutrosophic soft relations accompanied with their compositions are also defined. The basic properties of the neutrosophic soft sets, neutrosophic soft relations and neutrosophic soft compositions are also discussed.
Category: General Mathematics

[33] viXra:1607.0503 [pdf] submitted on 2016-07-27 02:04:43

The Concept of Neutrosophic Less Than or Equal To: A New Insight in Unconstrained Geometric Programming

Authors: Florentin Smarandache, Huda E. Khalid, Ahmed K. Essa, Mumtaz Ali
Comments: 9 Pages.

In this paper, we introduce the concept of neutrosophic less than or equal to. The neutrosophy considers every idea < A > together with its opposite or negation < antiA > and with their spectrum of neutralities < neutA > in between them (i.e. notions or ideas supporting neither < A > nor < antiA >).
Category: General Mathematics

[32] viXra:1607.0502 [pdf] submitted on 2016-07-27 02:05:55

The Neutrosophic Statistical Distribution, More Problems, More Solutions

Authors: S. K. Patro, F. Smarandache
Comments: 7 Pages.

In this paper , the authors explore neutrosophic statistics, that was initiated by Florentin Smarandache in 1998 and developed in 2014, by presenting various examples of several statistical distributions, from the work [1]. The paper is presented with more case studies, by means of which this neutrosophic version of statistical distribution becomes more pronounced.
Category: General Mathematics

[31] viXra:1607.0476 [pdf] submitted on 2016-07-25 09:00:09

Some Series Associated with Catalan's Constant

Authors: Edgar Valdebenito
Comments: 6 Pages.

In this note show series for the Catalan's constant: G=0.915965594177...
Category: General Mathematics

[30] viXra:1607.0367 [pdf] submitted on 2016-07-19 09:13:05

The Number Phi and the Numbers Pi, ln 2 , G , Zeta(k),k=1,2,3,...

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we show series for the numbers: pi,ln 2,G,zeta(k),k=1,2,3,..., In this series appears the number phi.
Category: General Mathematics

[29] viXra:1607.0366 [pdf] submitted on 2016-07-19 09:16:00

Some Results on pi Formulas

Authors: Edgar Valdebenito
Comments: 21 Pages.

In this note we show some formulas for the number pi
Category: General Mathematics

[28] viXra:1607.0352 [pdf] submitted on 2016-07-18 07:14:14

Mathematics and Alcohol and God

Authors: Florentin Smarandache
Comments: 3 Pages.

Imaginary. God. Transcendentality. What's the probability for God to be in Number Theory?
Category: General Mathematics

[27] viXra:1607.0347 [pdf] submitted on 2016-07-18 07:19:49

Neutrosophic Probability, Set, and Logic (First Version)

Authors: Florentin Smarandache
Comments: 15 Pages.

This project is a part of a National Science Foundation interdisciplinary project proposal
Category: General Mathematics

[26] viXra:1607.0344 [pdf] submitted on 2016-07-18 07:23:49

Numeralogy (I) or Properties of Numbers

Authors: Florentin Smarandache
Comments: 12 Pages.

This article is on Numeralogy or Properties of Numbers.
Category: General Mathematics

[25] viXra:1607.0343 [pdf] submitted on 2016-07-18 07:24:47

Numeralogy (II) or Properties of Numbers

Authors: Florentin Smarandache
Comments: 13 Pages.

This article is on Numeralogy or Properties of Numbers.
Category: General Mathematics

[24] viXra:1607.0342 [pdf] submitted on 2016-07-18 07:25:39

Numeralogy (III) or Properties of Numbers

Authors: Florentin Smarandache
Comments: 5 Pages.

This article is on Numeralogy or Properties of Numbers.
Category: General Mathematics

[23] viXra:1607.0329 [pdf] submitted on 2016-07-18 07:46:54

Paradoxist Mathematics

Authors: Florentin Smarandache
Comments: 6 Pages.

The goal of this paper is to experiment new math concepts and theories, especially if they run counter to the classical ones.
Category: General Mathematics

[22] viXra:1607.0324 [pdf] submitted on 2016-07-18 07:54:25

Recreational Mathematics

Authors: Florentin Smarandache
Comments: 3 Pages.

Acest articol va prezinta un aritmograf.
Category: General Mathematics

[21] viXra:1607.0307 [pdf] submitted on 2016-07-18 08:20:25

The Function that you Bear its Name!

Authors: Florentin Smarandache
Comments: 2 Pages.

This quatation is from a Letter of September 24, 1993, by Constantin M. Popa., an essayist of the Paradoxist Literary Movement [a movement stating that <the sense has a non-sense and, reciprocally, the non-eense has a sense too>], referring to the Function!
Category: General Mathematics

[20] viXra:1607.0305 [pdf] submitted on 2016-07-18 08:22:08

Letters’ Frequency (by Equal Groups) in The Romanian Juridical Texts

Authors: Florentin Smarandache
Comments: 3 Pages.

Analyzing the deterioration’s degree of the keys of a typing machine which functioned for more than 40 years at the clerk's office of a court of a Rumanian district (Vâlcea), one partitions them in the following groups.
Category: General Mathematics

[19] viXra:1607.0301 [pdf] submitted on 2016-07-18 08:25:34

There Is No Speed Barrier in The Universe

Authors: Florentin Smarandache
Comments: 3 Pages.

In this short paper one promotes the hypothesis that: There is no speed barrier in the universe, and one asks if it's possible to have an infinite speed?
Category: General Mathematics

[18] viXra:1607.0300 [pdf] submitted on 2016-07-18 08:27:24

The Solution of Oq.i02 in

Authors: Bencze MihÁly, Florin Popovici, Florentin Smarandache
Comments: 2 Pages.

In the "Octogon" Vo1.5, No.2, Zoltan Blazik, in the open problem OQ.102, asked if there exists a polynomial P(x,y) of at most second degree.
Category: General Mathematics

[17] viXra:1607.0268 [pdf] submitted on 2016-07-18 05:23:46

Amusing Problems

Authors: Florentin Smarandache
Comments: 15 Pages.

Ten birds are on a fence. A hunter shoots three of them.How many birds remain? (Answer: none, because the three dead birds fell down from the fence and the other seven flew way!)
Category: General Mathematics

[16] viXra:1607.0256 [pdf] submitted on 2016-07-18 05:36:52

A Program (An In-Out Machine) On T.I.-83 Calculators

Authors: Florentin Smarandache
Comments: 3 Pages.

This program takes an input number, performs some rule on it, and shows the output number that results.
Category: General Mathematics

[15] viXra:1607.0254 [pdf] submitted on 2016-07-18 05:39:39

A Solution of Oq. 128

Authors: Marian Dinca, Bencze MihÁly, SzilÁrd AndrÁs, Florentin Smarandache
Comments: 2 Pages.

In Octogon, April, 1998, Mihaly Bencze proposed the following open question.
Category: General Mathematics

[14] viXra:1607.0250 [pdf] submitted on 2016-07-18 05:45:15

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Set. (Second Version)

Authors: Florentin Smarandache
Comments: 55 Pages.

The subsets T, I, F are not necessarily intervals, but may be any real subsets: discrete or continuous; single-element, finite, or (either countably or uncountably) infinite; union or intersection of various subsets; etc.
Category: General Mathematics

[13] viXra:1607.0248 [pdf] submitted on 2016-07-18 05:56:49

Caietul de Informare Matematica la 20 de Ani

Authors: Florentin Smarandache
Comments: 2 Pages.

Si iata cii timpul trece ... Mi-amintesc zilele cand luam intaia data contact cu revista Liceului "N. Grigorescu" din Campina, pc cand eram in tara, student la Facultatea din Craiova, in 1979.
Category: General Mathematics

[12] viXra:1607.0230 [pdf] submitted on 2016-07-18 06:29:29

Funny Problems

Authors: Florentin Smarandache
Comments: 7 Pages.

In this paper we present original or collected recreational mathematical problems.
Category: General Mathematics

[11] viXra:1607.0223 [pdf] submitted on 2016-07-18 06:45:04

How To Create A Program On T.I.-92 Calculators

Authors: Florentin Smarandache
Comments: 4 Pages.

Here it is a program created on T.I.-92 Graphing Calculator to simplify a given fraction.
Category: General Mathematics

[10] viXra:1607.0221 [pdf] submitted on 2016-07-18 06:47:17

Hypothesis Sur la Determination D’une Regle Pour Les Jeux de Mots Croisés

Authors: Florentin Smarandache
Comments: 3 Pages.

Les problèmes de mots croisés sont composés, on le sait, de grilles et de d3finitions.
Category: General Mathematics

[9] viXra:1607.0210 [pdf] submitted on 2016-07-18 07:03:49

La Frequence Des Lettres (Par Groupes Egaux) Dans Les Textes Juridiques Roumains

Authors: Florentin Smarandache
Comments: 2 Pages.

Analysant le degré de deterioration des touches d'une machine à écrire qui fonctionné,plus de 40 ans au greffe d'un tribunal d'un district roumain (Valcea) on les a réparties dans les groupes suivants.
Category: General Mathematics

[8] viXra:1607.0205 [pdf] submitted on 2016-07-18 07:09:23

Logica sau Logica Matematica

Authors: Florentin Smarandache
Comments: 2 Pages.

Cate propozitii sunt adevarate si care anume dintre urmatoarele?
Category: General Mathematics

[7] viXra:1607.0182 [pdf] submitted on 2016-07-15 09:06:41

Number pi , Formulas , Curves , Surfaces

Authors: Edgar Valdebenito
Comments: 5 Pages.

In this note we give formulas, curves and surfaces,related with the constant pi.
Category: General Mathematics

[6] viXra:1607.0181 [pdf] submitted on 2016-07-15 09:13:19

Pi , G , Zeta(n) , Gamma

Authors: Edgar Valdebenito
Comments: 18 Pages.

In this paper we give some formulas related with the numbers: pi,G(catalán),zeta(n),gamma(Euler-Mascheroni)
Category: General Mathematics

[5] viXra:1607.0135 [pdf] submitted on 2016-07-11 09:14:07

An Integral with One Parameter

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we exhibit an integral with one parameter. the integrand is of the form: A(t)cos(f(x,t))senh(g(x,t))+B(t)sen(f(x,t))cosh(g(x,t)),0<x<1,0<t<pi/2.
Category: General Mathematics

[4] viXra:1607.0134 [pdf] submitted on 2016-07-11 09:18:10

Number pi , Numbers H(n,m) , G(n,m) , F(n,m)

Authors: Edgar Valdebenito
Comments: 5 Pages.

we give some formulas related with the numbers pi,h(n,m),g(n,m),f(n,m).
Category: General Mathematics

[3] viXra:1607.0097 [pdf] replaced on 2016-07-11 11:23:09

Not Disproved Solutions to Millennium Prize Problems

Authors: Dmitri Martila
Comments: 15 Pages.

Solved all Millennium Problems. Each Problem deserves 1 000 000 USD from Clay University. Please help to get it. All rights reserved.
Category: General Mathematics

[2] viXra:1607.0043 [pdf] submitted on 2016-07-04 09:05:12

Mathematical Formulas : Part 6

Authors: Edgar Valdebenito
Comments: 23 Pages.

In this paper we give some formulas for the number pi
Category: General Mathematics

[1] viXra:1607.0042 [pdf] submitted on 2016-07-04 09:11:12

A Definite Integral

Authors: Edgar Valdebenito
Comments: 5 Pages.

In this paper we give some formulas associated with an integral hidden in Gradshteyn and Ryzhik
Category: General Mathematics