General Mathematics

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Recent submissions

Any replacements are listed further down

[2472] viXra:1802.0249 [pdf] submitted on 2018-02-19 06:55:39

Question 431 : A Definite Integral for Pi

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents a definite integral for pi.
Category: General Mathematics

[2471] viXra:1802.0248 [pdf] submitted on 2018-02-19 06:58:12

Question 433 : Some Integration Questions

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents some integrals involving pi.
Category: General Mathematics

[2470] viXra:1802.0247 [pdf] submitted on 2018-02-19 07:03:38

Ramanujan's Roots

Authors: Edgar Valdebenito
Comments: 8 Pages.

This note presents some formulas related with pi.
Category: General Mathematics

[2469] viXra:1802.0228 [pdf] submitted on 2018-02-18 04:54:39

Computing Operational Matrices in Neutrosophic Environments: A Matlab Toolbox

Authors: Said Broumi, Le Hoang Son, Assia Bakali, Mohamed Talea, Florentin Smarandache, Ganeshsree Selvachandran
Comments: 9 Pages.

Neutrosophic set is a generalization of classical set, fuzzy set, and intuitionistic fuzzy set by employing a degree of truth (T), a degree of indeterminacy (I), and a degree of falsehood (F) associated with an element of the dataset. One of the most essential problems is studying set-theoretic operators in order to be applied to practical applications.
Category: General Mathematics

[2468] viXra:1802.0227 [pdf] submitted on 2018-02-18 04:56:17

IN-cross Entropy Based MAGDM Strategy under Interval Neutrosophic Set Environment

Authors: Shyamal Dalapati, Surapati Pramanik, Shariful Alam, Florentin Smarandache, Tapan Kumar Roy
Comments: 15 Pages.

Cross entropy measure is one of the best way to calculate the divergence of any variable from the priori one variable. We define a new cross entropy measure under interval neutrosophic set (INS) environment, which we call IN-cross entropy measure and prove its basic properties. We also develop weighted IN-cross entropy measure and investigats its basic properties.
Category: General Mathematics

[2467] viXra:1802.0226 [pdf] submitted on 2018-02-18 04:58:01

Interval Neutrosophic Sets Applied to Ideals in Bck/bci-Algebras

Authors: Seok-Zun Song, Madad Khan, Florentin Smarandache, Young Bae Jun
Comments: 11 Pages.

In this article, we apply the notion of interval neutrosophic sets to ideal theory in BCK/BCI-algebras.
Category: General Mathematics

[2466] viXra:1802.0225 [pdf] submitted on 2018-02-18 04:59:36

On Neutrosophic Semi Alpha Open Sets

Authors: Qays Hatem Imran, F. Smarandache, Riad K. Al-Hamido, R. Dhavaseelan
Comments: 6 Pages.

In this paper, we presented another concept of neutrosophic open sets called neutrosophic semi-alfa-open sets and studied their fundamental properties in neutrosophic topological spaces. We also present neutrosophic semi-alfa-interior and neutrosophic semi-alfa-closure and study some of their fundamental properties.
Category: General Mathematics

[2465] viXra:1802.0224 [pdf] submitted on 2018-02-18 05:01:24

An Application of Single-Valued Neutrosophic Sets in Medical Diagnosis

Authors: Gulfam Shahzadi, Muhammad Akram, Arsham Borumand Saeid
Comments: 9 Pages.

In this paper, we present the use of single-valued neutrosophic sets in medical diagnosis by using distance measures and similarity measures. Using interconnection between single-valued neutrosophic sets and symptoms of patient, we determine the type of disease. We define new distance formulas for single valued neutrosophic sets. We develop two new medical diagnosis algorithms under neutrosophic environment. We also solve a numerical example to illustrate the proposed algorithms and finally, we compare the obtained results.
Category: General Mathematics

[2464] viXra:1802.0223 [pdf] submitted on 2018-02-18 05:02:31

Neutrosophic Soft Matrix and Its Application to Decision Making

Authors: Tuhin Bera, Nirmal Kumar Mahapatra
Comments: 13 Pages.

The motivation of this paper is to extend the concept of Neutrosophic soft matrix (NSM) theory. Some basic definitions of classical matrix theory in the parlance of neutrosophic soft set theory have been presented with proper examples. Then, a theoretical studies of some traditional operations of NSM have been developed. Finally, a decision making theory has been proposed by developing an appropriate solution algorithm, namely, score function algorithm and it has been illustrated by suitable examples.
Category: General Mathematics

[2463] viXra:1802.0222 [pdf] submitted on 2018-02-18 05:03:51

On Separation Axioms in an Ordered Neutrosophic Bitopological Space

Authors: R. Narmada Devi, R. Dhavaseelan, S. Jafari
Comments: 10 Pages.

In this paper we introduce the concept of a new class of an ordered neutrosophic bitopological spaces. Besides giving some interesting properties of these spaces. We also prove analogues of Uryshon’s lemma and Tietze extension theorem in an ordered neutrosophic bitopological spaces.
Category: General Mathematics

[2462] viXra:1802.0221 [pdf] submitted on 2018-02-18 05:05:48

Selection of Transportation Companies and Their Mode of Transportation for Interval Valued Data

Authors: Dalbinder Kour, Kajla Basu
Comments: 13 Pages.

The paper presents selection of transportation companies and their mode of transportation for interval valued neutrosophic data. The paper focuses on the application of distance measures to select mode of transportation for transportation companies. The paper also presents the application of multi-criteria decision making method using weighted correlation coefficient and extended TOPSIS for transportation companies.
Category: General Mathematics

[2461] viXra:1802.0124 [pdf] submitted on 2018-02-10 08:53:59

A Proof of the Riemann Hypothesis

Authors: A. A. Logan
Comments: 7 pages, 15 figures, 1 table, preprint for IET Journal of Engineering Submission.

This paper investigates the characteristics of the power series representation of the Riemann Xi function. A detailed investigation of the behaviour of the zeros of the real part of the power series and the behaviour of the curve, combined with a substitution of polar coordinates in the power series and in the definition of the critical strip (leading to a critical area), and the relationship with the zeros of the imaginary part of the power series leads to the conclusion that the Riemann Xi function only has real zeros.
Category: General Mathematics

[2460] viXra:1802.0108 [pdf] submitted on 2018-02-09 06:26:11

Question 430 : A Definite Integral

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents a definite integral for pi.
Category: General Mathematics

[2459] viXra:1802.0107 [pdf] submitted on 2018-02-09 06:31:18

Lemniscate Constants

Authors: Edgar Valdebenito
Comments: 6 Pages.

This note presents some integrals for lemniscate constants.
Category: General Mathematics

[2458] viXra:1802.0048 [pdf] submitted on 2018-02-05 06:58:27

On pi :A Definite Integral

Authors: Edgar Valdebenito
Comments: 4 Pages.

This note presents a definite integral for pi
Category: General Mathematics

[2457] viXra:1802.0037 [pdf] submitted on 2018-02-03 12:50:42

A Parametric Form of the Fermat Equation ?

Authors: Jean BENICHOU
Comments: 1 Page.

The curves of x^n + y^n = z^n seem to be identical to a trig parametric form which for n>2 would exclude integer solutions.
Category: General Mathematics

[2456] viXra:1802.0017 [pdf] submitted on 2018-02-02 21:54:57

On the Computation of Primes

Authors: Clive Jones
Comments: 2 Pages.

Featuring the PF5 Prime-Generating Function.
Category: General Mathematics

[2455] viXra:1802.0001 [pdf] submitted on 2018-02-01 00:52:03

Predicting Day of New Year’s Day

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of predicting the day of New Year’s Day for any given year in Gregorian & Julian calendar using simplified formula. It consists of five algebraic 2 for Julian expression, three of which are integer function by substituting the year. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0Saturday, 1Sunday, and so on, that determines the exact day of New Year This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[2454] viXra:1801.0408 [pdf] submitted on 2018-01-31 06:15:32

Calculating Nth Day of the Date in a Calendar Year

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is an algorithm of calculating nth day of the Date in a Year for any given Date in Gregorian & Julian calendar using simplified formula. It consists of ten algebraic 6 for Julian expression, eight of which are integer function by substituting the year, month and day. This formula will calculate the nth day which gives a number from 1 to 366 that determines the exact nth day in a given Date. This algorithm has no condition even during leap‐year and 400‐ year cycle.
Category: General Mathematics

[2453] viXra:1801.0303 [pdf] submitted on 2018-01-23 07:02:21

Coxeter Algebras and Pre-Coxeter Algebras in Smarandache Settings

Authors: Hee Sik Kim, Young Hee Kim, J. Neggers
Comments: 12 Pages.

In this paper we indroduce the notion of a (pre)-Coxeter algebra and show that a Coxeter algebra is equivalent to an abelian group all of whose elements have order 2, i.e., Boolean group.
Category: General Mathematics

[2452] viXra:1801.0302 [pdf] submitted on 2018-01-23 07:03:24

On Pre-Coxeter Algebras

Authors: Hee Sik Kim, Hyo Jin Kim
Comments: 6 Pages.

In this paper we show that the class of PC-algebras and the class of B-Algebras with condition (D) are Smarandache disjoint.
Category: General Mathematics

[2451] viXra:1801.0301 [pdf] submitted on 2018-01-23 07:04:19

Smarandache Algebras and Their Subgroups

Authors: P. J. Allen, H. S. Kim, J. Neggers
Comments: 15 Pages.

In this paper we define Smarandache algebras and show that every finite group can be found in some Smarandache algebra.
Category: General Mathematics

[2450] viXra:1801.0300 [pdf] submitted on 2018-01-23 07:05:14

Smarandache Disjoint in BCK/D-Algebras

Authors: P. J. Allen, H. S. Kim, J. Neggers
Comments: 3 Pages.

In this paper we include several new families of Smarandache-type P-algebras and we study some of their properties in relation to the properties of previously defined Smarandache-types.
Category: General Mathematics

[2449] viXra:1801.0299 [pdf] submitted on 2018-01-23 07:06:04

Super Commutative D-Algebras and BCK-Algebras in the Smarandache Settings

Authors: P. J. Allen, H. S. Kim, J. Neggers
Comments: 5 Pages.

In this paper we introduce the notion of Super Commutative D-Algebra.
Category: General Mathematics

[2448] viXra:1801.0285 [pdf] submitted on 2018-01-22 06:50:28

Question 422 : A Definite Integral

Authors: Edgar Valdebenito
Comments: 2 Pages.

this note presents certain clases of integrals containing trigonometric and hyperbolic trigonometric functions in their integrands.
Category: General Mathematics

[2447] viXra:1801.0283 [pdf] submitted on 2018-01-22 06:53:20

Question 423 : On pi

Authors: Edgar Valdebenito
Comments: 2 Pages.

This note presents some series for pi^2
Category: General Mathematics

[2446] viXra:1801.0281 [pdf] submitted on 2018-01-22 06:56:03

Question 424 :Double Integral for Pi^2

Authors: Edgar Valdebenito
Comments: 1 Page.

This note presents a double integral for pi^2
Category: General Mathematics

[2445] viXra:1801.0270 [pdf] submitted on 2018-01-21 23:20:12

Predicting Day of Christmas Day

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of predicting the day of Christmas Day for any given year in Gregorian & Julian calendar using simplified formula. It consists of five algebraic (2 for Julian) expression, three of which are integer function by substituting the year. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0=Saturday, 1=Sunday, and so on, that determines the exact day of Christmas. This algorithm has no condition even during leap-year and 400-year cycle.
Category: General Mathematics

[2444] viXra:1801.0213 [pdf] submitted on 2018-01-18 00:32:43

Smarandache BCC-Algebras

Authors: Young Bae Jun
Comments: 8 Pages.

The notions of Smarandache BCC-algebras and Smarandache BCC-ideals are introduced. Conditions for a (special) subset to be a Smarandache BCC-ideal are given.
Category: General Mathematics

[2443] viXra:1801.0212 [pdf] submitted on 2018-01-18 00:42:37

Smarandache Bci-Algebras

Authors: Young Bae Jun
Comments: 6 Pages.

The notion of Smarandache (positive implicative, commutative, implicative) BCI-algebras, Smarandache subalgebras and Smarandache ideals is introduced, examples are given, and related properties are investigated.
Category: General Mathematics

[2442] viXra:1801.0211 [pdf] submitted on 2018-01-18 00:45:08

Smarandache Fresh and Clean Ideals of Smarandache Bci Algebras

Authors: Young Bae Jun
Comments: 8 Pages.

The notion of Smarandache fresh and clean ideals is introduced, examples are given, and related properties are investigated. Relations between Q-Smarandache fresh ideals and Q-Smarandache clean ideals are given. Extension properties for Q-Smarandache fresh ideals and Q-Smarandache clean ideals are established.
Category: General Mathematics

[2441] viXra:1801.0210 [pdf] submitted on 2018-01-18 00:48:39

Smarandache Hyper (∩, ∈)-Ideals on Smarandache Hyper K-Algebras

Authors: Kyung Ho Kim, Young Bae Jun, Eun Hwan Roh, Habib Harizavi
Comments: 6 Pages.

We introduce the notion of a Smarandache hyper (∩,∈)-idealand Ω-reflexive in hyper K-algebra, and some related properties are given.
Category: General Mathematics

[2440] viXra:1801.0209 [pdf] submitted on 2018-01-18 00:51:08

Smarandache Hyper Algebras

Authors: Young Bae Jun, Eun Hwan Roh
Comments: 6 Pages.

The notion of Smarandache hyper I-algebra and Smarandache hyper Kalgebra are introduced, and related properties are investigated.
Category: General Mathematics

[2439] viXra:1801.0208 [pdf] submitted on 2018-01-18 00:54:21

Smarandache Hyper K-Algebras

Authors: Young Bae Jun, Eun Hwan Roh, Habiib Harizavi
Comments: 8 Pages.

We introduce the notio of an extention of hyper K-algebra and Smarandache hyper (∩, ∈)-ideals on Smarandache Hyper K-algebras, and investigate its properties.
Category: General Mathematics

[2438] viXra:1801.0207 [pdf] submitted on 2018-01-18 01:03:17

Positive Implicative Smarandache BCC-Ideals in Smarandache BCC-Algebras

Authors: Young Bae Jun, Seok Zun Song, Kyung Tae Kang
Comments: 8 Pages.

The notion of positive immplicative Smarandache BCC-ideals is indroduced, and related properties are investigated.
Category: General Mathematics

[2437] viXra:1801.0206 [pdf] submitted on 2018-01-18 01:27:50

Smarandache Stuctures of Generalized BCK-Algebras

Authors: Young Bae Jun
Comments: 6 Pages.

The Smarandache Stuctures of Generalized BCK-Algebras are considered.
Category: General Mathematics

[2436] viXra:1801.0195 [pdf] submitted on 2018-01-16 06:51:43

On the Integral :I=int(coth(1+x^3))dx , X=0..1

Authors: Edgar Valdebenito
Comments: 3 Pages.

This note presents some formulas related with the integral: I=int(coth(1+x^3))dx , x=0..1.
Category: General Mathematics

[2435] viXra:1801.0194 [pdf] submitted on 2018-01-16 06:55:03

Question 420 :Some Formulas Related with pi

Authors: Edgar Valdebenito
Comments: 7 Pages.

This note presents some formulas related with pi
Category: General Mathematics

[2434] viXra:1801.0177 [pdf] submitted on 2018-01-15 05:49:07

Calculating Number of Days Passed Since the Introduction of Gregorian Calendar

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of calculating number of days passed since the introduction of Gregorian Calendar for any given date using simplified formula. It consists of nine algebraic expressions, five of which are integer function by substituting the year, month and day. This formula will calculate the n^th days which gives a number from 1 to ∞ (October 15, 1582 being the day one), that determines the exact number of days passed. This algorithm has no condition even during leap-year and 400-year cycle.
Category: General Mathematics

[2433] viXra:1801.0154 [pdf] submitted on 2018-01-14 00:17:25

Calculating Days Difference Between Gregorian and Julian Calendar

Authors: Dave Ryan T. Cariño
Comments: 2 Pages.

This study is an algorithm of calculating days difference between Gregorian & Julian calendar using simplified formula. It consists of two integer function by substituting the year. This formula will determine the exact number of days in any given Year as of December 31. This algorithm has no condition even during leap-year and 400-year rule.
Category: General Mathematics

[2432] viXra:1801.0135 [pdf] submitted on 2018-01-11 14:43:16

Mathematics as an Interconnected Whole

Authors: Mark Burgin
Comments: 15 Pages.

Different thinkers suggested varied images and descriptions of mathematics. Platonists believe that mathematical objects exist as Platonic Ideas and mathematicians only discover them. Nominalists think that mathematics is the contents of mathematical manuscripts, books, papers and lectures, with the increasingly growing net of theorems, definitions, proofs, constructions, and conjectures. Pragmatists assume that mathematics exists in mentality of people and when mathematicians introduce new objects they invent and then build them. An interesting peculiarity of the situation is that all these opinions and some others are true but … incomplete. The goal of this work is to explain this peculiarity presenting a complete vision of mathematics as an interconnected Whole.
Category: General Mathematics

[2431] viXra:1801.0132 [pdf] submitted on 2018-01-11 05:28:14

Counting the Number of Days in Any Year

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of calculating the number of days in any given Year in Gregorian & Julian calendar using simplified formula. It consists of seven algebraic (3 for Julian) expression, six of it are integer function by substituting the year. This formula will calculate the number of days which gives a number from 365 to 366 that determines the exact number of days in a given Year. This algorithm has no condition even during leap-year and 400-year rule.
Category: General Mathematics

[2430] viXra:1801.0123 [pdf] submitted on 2018-01-10 21:19:17

Calculating the Day of the Week in Any Given Date

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is an algorithm of calculating the day of the week for any given date in Gregorian & Julian calendar using simplified formula. It consists of eight algebraic (6 for Julian) expression, five of which are integer function by substituting the year, month and day. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0=Saturday, 1=Sunday, and so on, that determines the exact day of the week.
Category: General Mathematics

[2429] viXra:1801.0099 [pdf] submitted on 2018-01-09 00:22:48

Counting the Number of Days in a Month-Year

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is an algorithm of calculating the number of days of the Month-Year for any given Month and Year in Gregorian & Julian calendar using simplified formula. It consists of eleven algebraic (6 for Julian) expression, all of it are integer function by substituting the year and month. This formula will calculate the number of days which gives a number from 28 to 31 that determines the exact number of days in a given Month-Year. This algorithm has no condition even during leap-year and 400-year rule.
Category: General Mathematics

[2428] viXra:1801.0062 [pdf] submitted on 2018-01-05 07:10:28

A Collection of Attractors

Authors: Edgar Valdebenito
Comments: 39 Pages.

This note presents a collection of attractors
Category: General Mathematics

[2427] viXra:1801.0061 [pdf] submitted on 2018-01-05 07:13:24

Machin-Type Formulas for pi

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents some Machin-type formulas for pi.
Category: General Mathematics

[2426] viXra:1801.0059 [pdf] submitted on 2018-01-05 07:20:38

On Radicals , Polynomials , pi

Authors: Edgar Valdebenito
Comments: 3 Pages.

This note presents some formulas for pi.
Category: General Mathematics

[2425] viXra:1801.0022 [pdf] submitted on 2018-01-02 09:27:57

Feasible Mathematics

Authors: Alexandre Harvey-Tremblay
Comments: 12 Pages.

From algorithmic information theory (and using notions of algorithmic thermodynamics), we introduce *feasible mathematics* as distinct from *universal mathematics*. Feasible mathematics formalizes the intuition that theorems with very long proofs are unprovable within the context of limited computing resources. It is formalized by augmenting the standard construction of Omega with a conjugate-pair that suppresses programs with long runtimes. The domain of the new construction defines feasible mathematics.
Category: General Mathematics

[2424] viXra:1712.0636 [pdf] submitted on 2017-12-27 18:24:35

Union of Two Arithmetic Sequences - Basic Calculation Formula (1)

Authors: Waldemar Zieliński
Comments: Pages.

Let A, B denote infinite arithmetic sequences in N with initial terms equal to 0. The union of A, B is strictly increasing sequence U, containing only all elements of A, B (without repetitions). We will derive the formula for the n-th element of the union U(A,B)=(u_n) in the form: u_n=f(n,a,b).
Category: General Mathematics

[2423] viXra:1712.0486 [pdf] submitted on 2017-12-17 06:23:16

Finite and Infinite Product Transformations

Authors: Martin Nicholson
Comments: 9 Pages.

Several infinite products are studied along with their finite counterparts. For certain values of the parameters these infinite products reduce to modular forms. The finite product formulas give an elementary proof of a particular modular transformation.
Category: General Mathematics

[2422] viXra:1712.0392 [pdf] submitted on 2017-12-11 16:58:18

Iriene Versus Smarandache

Authors: Gergő Cosmin Tudor Jr.
Comments: 14 Pages.

ABSTARCT: Following recent development in http://vixra.org/abs/1712.0372 , we propose scientific paper of three parts. 1. We proove strengh of freindship letter proof method 2. Proof of F. Smarandache mathematial skill via S. Wolfram method 3. Th
Category: General Mathematics

[2421] viXra:1712.0131 [pdf] submitted on 2017-12-06 01:33:15

Sketching 'trinions' and 'heptanions'

Authors: Kohji Suzuki
Comments: 9 Pages.

Attempting to abstract exterior derivative and Hodge star operator, we discuss two number systems sketchily.
Category: General Mathematics

[2420] viXra:1712.0123 [pdf] submitted on 2017-12-05 11:04:35

Complete Solutions to Quadratics with a TI-83 Plus

Authors: Timothy W. Jones
Comments: 5 Pages.

Code is given for complete, exact solutions of quadratic polynomials using the TI-83 family of calculators.
Category: General Mathematics

[2419] viXra:1712.0121 [pdf] submitted on 2017-12-04 08:35:04

芝诺悖论隐藏的数学危机

Authors: Liu Ran
Comments: 3 Pages.

芝诺悖论的前提假设,抽象模型不一致导致的混乱。
Category: General Mathematics

[2418] viXra:1712.0111 [pdf] submitted on 2017-12-04 21:59:05

Betting on a Tossed Fair Coin - Some Unexpected Results

Authors: D Williams
Comments: 8 Pages.

Some examples are given of very counterintuitive results from betting on a tossed fair coin. Various betting schemes are examined and a preliminary partial classification scheme produced. A call is made for more research with a list of things that are needed.
Category: General Mathematics

[2417] viXra:1711.0407 [pdf] submitted on 2017-11-25 07:19:51

Method for Obtaining a Minimum or Maximum Value in the Secondary Function

Authors: Yanakikawa Yoon
Comments: 1 Page.

It doesn't exist in high school textbooks.
Category: General Mathematics

[2416] viXra:1711.0381 [pdf] submitted on 2017-11-22 02:45:39

Improved Interpolation and Approximation Through Order Manipulation

Authors: Vahid Rahmati
Comments: 10 Pages.

A novel transform calling smoothing, which can improve interpolation and reduce approximation error, is introduced in this paper. This method can be applied to various formulas, including interpolation and approximation methods, which are denoted in the process of order manipulation. Subsequently, the paper shows how to achieve higher degree polynomial approximations through fewer interpolation points, which is impossible with ordinary methods of interpolation. In fact, this leads to an alternative solution to oscillatory behavior and Runge’s phenomenon occurring in polynomial interpolations or methods of least squares approximation when the number of points is increased significantly to achieve higher degree polynomials with the aim of error reduction. Several ideas—in the form of theorems and their proofs—are therefore studied on the basis of smoothing process of the interpolation. Finally, a comprehensive comparison, with the intention of showing the advantage of the new transform over other methods in the form of MSE v. number of samples, is provided.
Category: General Mathematics

[2415] viXra:1711.0311 [pdf] submitted on 2017-11-14 06:30:32

Attractors , Number Pi

Authors: Edgar Valdebenito
Comments: 10 Pages.

This note presents some attractors and three formulas for pi
Category: General Mathematics

[2414] viXra:1711.0310 [pdf] submitted on 2017-11-14 06:33:32

Dalzell Integral

Authors: Edgar Valdebenito
Comments: 6 Pages.

This note presents some formulas related with Dalzell integral.
Category: General Mathematics

[2413] viXra:1711.0309 [pdf] submitted on 2017-11-14 06:36:40

Infinitorun :Part 1

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents three integrals for pi.
Category: General Mathematics

[2412] viXra:1711.0308 [pdf] submitted on 2017-11-14 06:38:46

Pi and Phi

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents some formulas for pi.
Category: General Mathematics

[2411] viXra:1711.0305 [pdf] submitted on 2017-11-14 06:45:49

Question 411 : Integrals

Authors: Edgar Valdebenito
Comments: 3 Pages.

This note presents a collection of integrals for pi.
Category: General Mathematics

[2410] viXra:1711.0304 [pdf] submitted on 2017-11-14 06:49:36

Question 412 :The Number Rho

Authors: Edgar Valdebenito
Comments: 5 Pages.

This note presents some formulas related with the real root of the equation: x^5+x^4+x^3+x^2+x-1=0.
Category: General Mathematics

[2409] viXra:1711.0254 [pdf] submitted on 2017-11-08 17:56:26

The Fair Bet Paradox

Authors: D Williams
Comments: 6 Pages.

A simple paradox in probability theory is given. It highlights how inadequate common notions of what is a "fair bet" are (examples given).
Category: General Mathematics

[2408] viXra:1711.0240 [pdf] submitted on 2017-11-07 03:50:18

Higher Integrals

Authors: Edgar Valdebenito
Comments: 3 Pages.

In this note we explore an elliptic integral
Category: General Mathematics

[2407] viXra:1711.0232 [pdf] submitted on 2017-11-07 01:45:13

A Manifesto and Anti-Manifesto for Outer-Art

Authors: Florentin Smarandache
Comments: 21 Pages.

“Outer-Art” is a movement set up as a protest against, or to ridicule, the random modern art which states that everything is… art! It was initiated by Florentin Smarandache, in 1990s, who ironically called for an upside-down artwork: to do art in a way it is not supposed to be done, i.e. to make art as ugly, as silly, as wrong as possible, and generally as impossible as possible!
Category: General Mathematics

[2406] viXra:1711.0231 [pdf] submitted on 2017-11-07 01:46:45

Paradoksizmi – Rryma MË e Fundit Letrare, Artistike Dhe Filozofike, Pararoja e MIJËVJEÇARIT TË DYTË

Authors: Lediana Paja, Florentin Smarandache
Comments: 8 Pages.

Pradoksizmi është një lëvizje praktike në letërsi, art, filozofi, shkencë bazuar në përdorimet e tepruara të antitezës, antinomisë, konradiksionit, shembël-ltyrës, mosmarrëveshjes, anti-klisheve, derivimit të sensit, kundra fjalimeve, të pakuptueshmes, para-doksit, apo paradokseve të njëjta në krijime. U themelua dhe u udheheq nga Florentin Smarandache qe prej 1980, i cili u shpreh : “Qëllimi është zgjerimi i sferës artistike prej elementeve jo artistikë. Por sidomos kundra kohës, kundra kuptimit të krijimit. Eshtë gjithashtu një eksperiment”.
Category: General Mathematics

[2405] viXra:1711.0230 [pdf] submitted on 2017-11-07 01:47:43

Paradoxism and (Outer)-Art: a New Cultural (Dis)Order?

Authors: Mugur Grosu, Mircea Tuglea, Florentin Smarandache
Comments: 22 Pages.

Because I have, finally, before my eyes two significant works- your volume, Destiny (published last year although it was written 20 years ago!) and a more special work, Outer-Art, that we have to talk about without fail later on-, we can start interviewing you. At the beginning I am asking you to make a short introducing of your “inventions” until now: paradoxism, outer-art, etc. Could you place these proposed directions within a certain order of the vanguard currents?
Category: General Mathematics

[2404] viXra:1711.0229 [pdf] submitted on 2017-11-07 01:49:19

Paradoxism – the Last Literary, Artistic, and Philosophic Vanguard of the Second Millennium Arabic Version

Authors: Nadia Idri, Salah Osman, Florentin Smarandache
Comments: 4 Pages.

From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House,Phoenix, Chicago, 1991, 1992, 1993.
Category: General Mathematics

[2403] viXra:1711.0228 [pdf] submitted on 2017-11-07 01:50:28

Paradoxism – the Last Literary, Artistic, and Philosophic Vanguard of the Second Millennium Bengali Version

Authors: Sharif S. N. Bhuiyan, Florentin Smarandache
Comments: 7 Pages.

From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House, Phoenix, Chicago, 1991, 1992, 1993.
Category: General Mathematics

[2402] viXra:1711.0227 [pdf] submitted on 2017-11-07 01:51:44

ПАРАДОКСИЗЪМ – Последният Литературен, Художествен и Философски Авангард на Второто Хилядолетие

Authors: Albena Tchamova, Maria Nikolova, Florentin Smarandache
Comments: 9 Pages.

Парадоксизмът е авангардно движение в литературата, изкуството, философията, науката, основано на използването на огромен брой антитези, парадокси, противоречия, притчи, несъгласия в произведенията.
Category: General Mathematics

[2401] viXra:1711.0225 [pdf] submitted on 2017-11-07 01:53:15

Paradoxism – the Last Literary, Artistic, and Philosophic Vanguard of the Second Millennium Chinese Version

Authors: Fu Yuhua, Florentin Smarandache
Comments: 4 Pages.

From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House,Phoenix, Chicago, 1991, 1992, 1993.
Category: General Mathematics

[2400] viXra:1711.0224 [pdf] submitted on 2017-11-07 01:54:09

Paradoxism – na ČESKÉM

Authors: Florentin Smarandache
Comments: 5 Pages.

Shodovat se k Florentin Smarandache, paradoxism 1980 je teorie a škola paradoxů používání v literárním a uměleckém vytvoření. Stoupenci paradoxism věří, že to odhalí podstatné rozpory existence tím, že se zaměří na je, zatímco jiné avantgardní činnosti takový jak dadaism a surrealism dělají ne.
Category: General Mathematics

[2399] viXra:1711.0223 [pdf] submitted on 2017-11-07 01:55:51

Het Paradoxisme – Een Avantgardistische Beweging in DE Literatuur, DE Kunst, DE Filosofie

Authors: Henri Thijs, Florentin Smarandache
Comments: 9 Pages.

Het paradoxisme (een offici Nederlandse term moet nog worden uitgevonden), is een avantgardistische beweging in de literatuur, de kunst, de filosofie en de wetenschap die is gebaseerd op het excessief gebruik van antithesen, antinomie contradicties,en paradoxen in de creaties. De stroming werd al in 1980 opgericht en gepatroneerd door de schrijver Florentin Smarandache die zijn beweegredenen aldus omschrijft: Het doel is de verruiming van de artistieke sfeer door de incorporatie van niet-artistieke elementen en vooral door de creatie op experimentle wijze tegendraads en averechts te laten verlopen.
Category: General Mathematics

[2398] viXra:1711.0222 [pdf] submitted on 2017-11-07 01:57:27

Paradoxism – the Last Literary, Artistic, and Philosophic Vanguard of the Second Millennium

Authors: Charles Le, Florentin Smarandache
Comments: 8 Pages.

PARADOXISM is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, paraphrases, odds, anti-clichés, deviations of senses, parodies of proverbs and aphorisms, against-the-grain speech, upside-down interpre-tations, nonsense, paradoxes, semiparadoxes in creations. Paradoxism tries to find common parts to apparently uncommon things in any human field.
Category: General Mathematics

[2397] viXra:1711.0221 [pdf] submitted on 2017-11-07 01:58:29

Le Paradoxisme, la Derniere Avant-Garde du Deuxieme Millenaire

Authors: J. M. Charrier, Florentin Smarandache
Comments: 6 Pages.

Le Paradoxisme est un mouvement d'avant-garde dans la littérature, l'art, la philosophie, la science appuyé sur l'excessive utilisation des antithèses, antinomies, contradictions, paraboles, déviations du sens, interpretations à l'envers des clichés, non-sens, paradoxes, semiparadoxes dans les créations.
Category: General Mathematics

[2396] viXra:1711.0220 [pdf] submitted on 2017-11-07 01:59:22

Paradoxismus – Die Letzte Literarische, KÜNSTLERISCHE Und Philosophische Avantgarde Des Zweiten Jahrtausends

Authors: Bernd Hutschenreuther, Martina Teichert, Florentin Smarandache
Comments: 9 Pages.

PARADOXISMUS ist eine literarische, künstlerische, geistes- und naturwissenschaftliche Avantgarde- Bewegung, die den exzessiven Einsatz von Antithesen, Antinomien, Widersprüchen, Parabeln, Wahrscheinlichkeiten und Paradoxien in Schöpfungen zur Grundlage hat.
Category: General Mathematics

[2395] viXra:1711.0219 [pdf] submitted on 2017-11-07 02:00:44

Paradoxism – the Last Literary, Artistic, and Philosophic Vanguard of the Second Millennium Greek Version

Authors: Θεοδώρα Μπλούση, Florentin Smarandache
Comments: 6 Pages.

Ο ΠΑΡΑΔΟΞΙΣΜΟΣ είναι ένα πρωτοποριακό κίνημα στη λογοτεχνία, την τέχνη, τη φιλοσοφία, την επιστήμη, με βάση τη δημιουργία με υπερβολική χρήση αντιθέσεων, αντονομίες, αντιφάσεων, παραβολών, αποδόσεων και παράδοξων ρημάτων. Ιδρύθηκε και διευθύνεται από τον συγγραφέα Φλωρεντίν Σμαρανδάκε από το 1980, ο οποίος είπε:.. “Ο στόχος είναι η διεύρυνση της καλλιτεχνικής σφαίρας μέσω μη καλλιτεχνικών στοιχείων. Αλλά κυρίως η δημιουργία αντίθετων εννοίων, λογικής και χρόνου. Επίσης, για να πειραματιστεί."
Category: General Mathematics

[2394] viXra:1711.0218 [pdf] submitted on 2017-11-07 02:01:33

PARadOXisTák

Authors: Florentin Smarandache
Comments: 5 Pages.

A paradoxizmus a nyolcvanas évek román irodalmi és mûvészeti avantgárd mozgalma. Kommunista-ellenes szándékkal Florentin Smaran-dache, az amerikai disszidens író és matematikus hozta létre az irányzatot, mely az alkotásban nagymértékben az ellentételezésre, az antinó-miákra, az oximoronokra, az ellentmondásokra és a paradoxonokra alapoz.
Category: General Mathematics

[2393] viXra:1711.0217 [pdf] submitted on 2017-11-07 02:03:01

Paradoxisme – the Gerakan Sastra, Seni Dan Filsafat Terakhir Pada Milenium Kedua

Authors: V. Christianto, Florentin Smarandache
Comments: 9 Pages.

PARADOXISMe adalah suatu gerakan kontemporere (avant-garde) dalam sastra, seni, filsafat dan ilmu, didasarkan pada penggunaan berlebihan dari antithesis, antinomies, kontradiksi, parable, kejanggalan, anti-klisé, deviasi-deviasi dari pemikiran, melawan butiran pidato, ketidakmasukakalan, paradoks, dan semiparadoks dalam penciptaan-penciptaan.
Category: General Mathematics

[2392] viXra:1711.0216 [pdf] submitted on 2017-11-07 02:04:06

Paradossismo – L’AVANGUARDIA Della Letteratura, Arte e Filosofia Del Secondo Millennio

Authors: Felice Russo, Florentin Smarandache
Comments: 9 Pages.

Il paradossismo e’ un movimento letterario e artistico di avanguardia, come una protesta antitotalitaria, creata dallo scrittore Florentin Smarandache nel 1980, e basata sull’eccessivo uso delle antitesi, antinomie, contraddidizioni, paradossi durante la produzione.
Category: General Mathematics

[2391] viXra:1711.0215 [pdf] submitted on 2017-11-07 02:05:05

Paradoxismo – a ÚLTIMA Vanguarda LITERÁRIA, ARTÍSTICA e FILOSÓFICA do Segundo MILÊNIO

Authors: Leonardo F. D. da Motta, Florentin Smarandache
Comments: 8 Pages.

"Paradoxismo" é um movimento de vanguarda da literatura, arte, filosofia, ciência, baseada no uso excessivo de antíteses, antinomias, contradições, parábolas, diferenças, paradoxos em criação. Foi criado e liderado pelo escritor Florentin Smarandache desde 1980, que disse: "O objetivo é alargar o legado artístico através de elementos não-artísticos. Mas especialmente o contratempo, contra-senso de criar. Também ao experimento."
Category: General Mathematics

[2390] viXra:1711.0214 [pdf] submitted on 2017-11-07 02:05:53

Paradoxismul – Ultima AVANGARDĂ a Mileniului Doi

Authors: Gheorghe Niculescu, Florentin Smarandache
Comments: 4 Pages.

Paradoxismul este o miscare internationala de avangarda in literatura, arta, filozofie, chiar si stiinta, bazata pe folosirea excesiva de antiteze, antinomii, contradictii, oximorone, parabole, paradoxuri in creatie.
Category: General Mathematics

[2389] viXra:1711.0213 [pdf] submitted on 2017-11-07 02:07:03

пАРадОКСизМ – Новейшее литературное, художественное и философское передовое движение Второго тысячелетия

Authors: Dmitri Rabounski, Florentin Smarandache
Comments: 10 Pages.

Парадоксизм — это передовое литературное и художественное движение, основанное как антитоталитарный протест писателем Флорентином Смарандаке в 1980-м году. Его основа —активное использование антитез, антиномий, противоречий и парадоксов в творчестве.
Category: General Mathematics

[2388] viXra:1711.0212 [pdf] submitted on 2017-11-07 02:07:54

Paradoxismo – Movimiento DE Vanguardia en Literatura, Arte, FILOSOFÍA, Ciencia

Authors: Sebastián Martín Ruiz, Florentin Smarandache
Comments: 8 Pages.

El Paradoxismo es un movimiento de vanguardia en literatura, arte, filosofía, ciencia, basado en el excesivo uso de antítesis, antinomias, contradicciones, parábolas, rarezas, y paradojas en la creación artística.
Category: General Mathematics

[2387] viXra:1711.0211 [pdf] submitted on 2017-11-07 02:08:48

Paradoxism – Den Sista LITTERÄRA, KONSTNÄRLIGA Och Filosofiska Avantgarde I Det Andra ÅRTUSENDET

Authors: Kristina Staude, Florentin Smarandache
Comments: 8 Pages.

PARADOXISM är en avantgarderörelse inom litteratur, konst, filosofi och vetenskap som är baserad på det omåttliga användandet av antiteser, antinomier, motsägelser, parabler, tillfälligheter och paradoxer i skapelser.
Category: General Mathematics

[2386] viXra:1711.0210 [pdf] submitted on 2017-11-07 02:09:34

Ultra-Modernism?

Authors: Florentin Smarandache
Comments: 4 Pages.

“Outer-Art” is a movement set up as a protest against, or to ridicule, the random modern art which states that everything is… art! It was initiated by Florentin Smarandache, in 1990s, who ironically called for an upside-down artwork: to do art in a way it is not supposed to be done, i.e. to make art as ugly, as silly, as wrong as possible, and generally as impossible as possible!
Category: General Mathematics

[2385] viXra:1711.0209 [pdf] submitted on 2017-11-07 02:10:30

Unification of Art Theories (Uat) a Long Manifesto

Authors: Florentin Smarandache
Comments: 71 Pages.

“Outer-Art” is a movement set up as a protest against, or to ridicule, the random modern art which states that everything is… art! It was initiated by Florentin Smarandache, in 1990s, who ironically called for an upside-down artwork: to do art in a way it is not supposed to be done, i.e. to make art as ugly, as silly, as wrong as possible, and generally as impossible as possible!
Category: General Mathematics

[2384] viXra:1711.0191 [pdf] submitted on 2017-11-02 02:27:04

A Comparative Analysis of QADA-KF with JPDAF for Multitarget Tracking in Clutter

Authors: Jean Dezert, Albena Tchamova, Pavlina Konstantinova, Erik Blasch
Comments: 8 Pages.

This paper presents a comparative analysis of performances of two types of multi-target tracking algorithms: 1)the Joint Probabilistic Data Association Filter (JPDAF), and 2) classical Kalman Filter based algorithms for multi-target tracking improved with Quality Assessment of Data Association (QADA) method using optimal data association. The evaluation is based on Monte Carlo simulations for difficult maneuvering multiple-target tracking (MTT) problems in clutter.
Category: General Mathematics

[2383] viXra:1711.0190 [pdf] submitted on 2017-11-02 02:28:48

A Hierarchical Flexible Coarsening Method to Combine BBAs in Probabilities

Authors: Yilin Dong, Xinde Li, Jean Dezert
Comments: 8 Pages.

In many applications involving epistemic uncertainties usually modeled by belief functions, it is often necessary to approximate general (non-Bayesian) basic belief assignments (BBAs) to subjective probabilities (called Bayesian BBAs). This necessity occurs if one needs to embed the fusion result in a system based on the probabilistic framework and Bayesian inference (e.g. tracking systems), or if one wants to use classical decision theory to make a decision.
Category: General Mathematics

[2382] viXra:1711.0189 [pdf] submitted on 2017-11-02 02:30:34

A Multichannel Decision-Level Fusion Method for T Wave Alternans Detection

Authors: Changrong Ye, Xiaoping Zeng, Guojun Li, Chenyuan Shi, Xin Jian, Xichuan Zhou
Comments: 11 Pages.

Sudden cardiac death (SCD) is one of the most prominent causes of death among patients with cardiac diseases. Since ventricular arrhythmia is the main cause of SCD and it can be predicted by T wave alternans (TWA), the detection of TWA in the body-surface electrocardiograph (ECG) plays an important role in the prevention of SCD. But due to the multi-source nature of TWA, the nonlinear propagation through thorax, and the effects of the strong noises, the information from different channels is uncertain and competitive with each other.
Category: General Mathematics

[2381] viXra:1711.0188 [pdf] submitted on 2017-11-02 02:32:29

A New Computational Measurement and Optimization Approach for DSmT

Authors: Hongfei Li, Jinran Wang, Hongbin Jin, Kangsheng Tian, Zhongliang Jing
Comments: 8 Pages.

A great deal of interest has been paid to computation problem of Dezert-Smarandache theory (DSmT). But there are still problems on complex analysis and frequently search. The computational measurement of DSmT is presented in which the computation is generated in the search for focal elements, the combination of focal elements and basic belief assignment, the expression of focal elements.
Category: General Mathematics

[2380] viXra:1711.0187 [pdf] submitted on 2017-11-02 02:33:42

A New Probabilistic Transformation Based on Evolutionary Algorithm for Decision Making

Authors: Yilin Dong, Xinde Li, Jean Dezert
Comments: 8 Pages.

The study of alternative probabilistic transformation (PT) in DS theory has emerged recently as an interesting topic, especially in decision making applications.
Category: General Mathematics

[2379] viXra:1711.0186 [pdf] submitted on 2017-11-02 02:35:00

A New Weighting Factor in Combining Belief Function

Authors: Deyun Zhou, Qian Pan, Gyan Chhipi-Shrestha, Xiaoyang Li, Kun Zhang, Kasun Hewage, Rehan Sadiq
Comments: 20 Pages.

Dempster-Shafer evidence theory has been widely used in various applications. However, to solve the problem of counter-intuitive outcomes by using classical Dempster-Shafer combination rule is still an open issue while fusing the conflicting evidences.
Category: General Mathematics

[2378] viXra:1711.0185 [pdf] submitted on 2017-11-02 02:36:05

An Improved Dempster-Shafer Algorithm Using a Partial Conflict Measurement

Authors: Bayanmunkh Odgere, Chang-Hoon Lee
Comments: 11 Pages.

Multiple evidences based decision making is an important functionality for computers and robots. To combine multiple evidences, mathematical theory of evidence has been developed, and it involves the most vital part called Dempster’s rule of combination. The rule is used for combining multiple evidences.
Category: General Mathematics

[2377] viXra:1711.0184 [pdf] submitted on 2017-11-02 02:37:38

An Internet of Things Approach for Extracting Featured Data Using AIS Database: An Application Based on the Viewpoint of Connected Ships

Authors: Wei He, Zhixiong Li, Reza Malekian, Xinglong Liu, Zhihe Duan
Comments: 15 Pages.

Automatic Identification System (AIS), as a major data source of navigational data, is widely used in the application of connected ships for the purpose of implementing maritime situation awareness and evaluating maritime transportation.
Category: General Mathematics

[2376] viXra:1711.0183 [pdf] submitted on 2017-11-02 02:38:51

A Novel Edge Detector for Color Images Based on MCDM with Evidential Reasoning

Authors: Ruhuan Li, Deqiang Han, Jean Dezert, Yi Yang
Comments: 8 Pages.

Edge detection is one of the most important tasks in image processing and pattern recognition. Edge detector with multiple color channels can provide more edge information. However, the uncertainty occurring with the edge detection in each single channel and the discordance existing in the fusion of multiple channels edge detectors make the detection difficult.
Category: General Mathematics

[2375] viXra:1711.0182 [pdf] submitted on 2017-11-02 02:40:06

Comparative Study on BBA Determination Using Different Distances of Interval Numbers

Authors: Jiankun Ding, Deqiang Han, Jean Dezert, Yi Yang
Comments: 6 Pages.

Dempster-Shafer theory (DST) is an important theory for information fusion. However, in DST how to determinate the basic belief assignment (BBA) is still an open issue. The interval number based BBA determination method is simple and effective, where the features of different classes’ samples are modeled using the interval numbers, i.e., an interval number model is constructed for each focal element.
Category: General Mathematics

[2374] viXra:1711.0181 [pdf] submitted on 2017-11-02 02:42:23

Enhance the Ais Data Availability by Screening and Interpolation

Authors: Daiyong Zhang, Jia Li, Qing Wu, Xinglong Liu, Xiumin Chu, Wei He
Comments: 6 Pages.

The AIS broadcasts the ship’s navigation data automatically and autonomously through VHF band. It plays an important role in collision avoidance and maritime situational awareness.
Category: General Mathematics

[2373] viXra:1711.0179 [pdf] submitted on 2017-11-02 02:47:08

Infuse: a Comprehensive Framework for Data Fusion in Space Robotics

Authors: Shashank Govindaraj, Jeremi Gancet, Mark Post, Raul Dominguez, Fabrice Souvannavong, Simon Lacroix, Michal Smisek, Javier Hidalgo-Carrio, Bilal Wehbe, Alexander Fabisch
Comments: 8 Pages.

Fused sensory data provides decision-making processes with exploitable information about the external environment and a robot`s internal state.
Category: General Mathematics

[2372] viXra:1711.0177 [pdf] submitted on 2017-11-02 02:49:46

Multi-lead Fusion Detection of T-Wave Alternans Using Dezert-Smarandache Theory

Authors: Changrong Ye, Guojun Li, Yang Bao, Jinliang Qiao, Deping Zhang
Comments: 8 Pages.

T-Wave alternans (TWA) is a cardiac phenomenon regarded as an index of high risk of sudden cardiac death (SCD). Although a number of methods have been proposed for TWA detection, their final decision always fully depends on one single lead which is usually picked out for its strongest TWA detection result among all the other leads.
Category: General Mathematics

[2371] viXra:1711.0176 [pdf] submitted on 2017-11-02 02:50:47

Uncertainty Measurement for Ultrasonic Sensor Fusion Using Generalized Aggregated Uncertainty Measure 1

Authors: A. Mohammad-Shahri, M. Khodabandeh
Comments: 10 Pages.

In this paper, target differentiation based on the pattern of data which are obtained by a set of two ultrasonic sensors is considered. A neural network based target classifier is applied to these data to categorize the data of each sensor.
Category: General Mathematics

[2370] viXra:1711.0175 [pdf] submitted on 2017-11-02 02:54:03

A View on Intuitionistic Smarandache Topological Semigroup Structure Spaces

Authors: C. Bavithra, M.K. Uma
Comments: 16 Pages.

The purpose of this paper is to introduce the concepts of intuitionistic Smarandache topological semigroups, intuitionistic Smarandache topological semigroup structure spaces, intuitionistic SG exteriors and intuitionistic SG semi exteriors.
Category: General Mathematics

[2369] viXra:1711.0174 [pdf] submitted on 2017-11-02 02:56:07

Contributions to Differential Geometry of Spacelike Curves in Lorentzian Plane L2

Authors: Yasin Unluturk, Suha Yilmaz, Muradiye Cimdiker
Comments: 12 Pages.

In this work, first the differential equation characterizing position vector of spacelike curve is obtained in Lorentzian plane L2: Then the special curves mentioned above are studied in Lorentzian plane L2: Finally some characterizations of these special curves are given in L2.
Category: General Mathematics

[2368] viXra:1711.0173 [pdf] submitted on 2017-11-02 02:57:08

Propiedades Y Problemas Relacionados Con Las Funciones de Smarandache

Authors: Sebastián Martín Ruiz, Minh Perez
Comments: 9 Pages.

In this paper we present the definitions and some properties of several Smarandache type functions that are involved in many proposed solved and unsolved problems and conjectures in number theory and recreational mathematics. Examples are also provided. Interesting problems related to them are proposed as addenda to this article.
Category: General Mathematics

[2367] viXra:1711.0172 [pdf] submitted on 2017-11-02 02:58:11

Review of Unitary Quantum Theory

Authors: Leo G. Sapogin, V. A. Dzhanibekov, Yu. A. Ryabov
Comments: 38 Pages.

The present article discuss the problems of new Unitary Quantum Theory in its applications to the different aspects of the reality. There are spectacular examples of such applications.
Category: General Mathematics

[2366] viXra:1711.0171 [pdf] submitted on 2017-11-02 02:59:34

Short Review of the Unitary Quantum Theory

Authors: Leo G. Sapogin, V. A. Dzhanibekov, Yu. A. Ryabov
Comments: 31 Pages.

The paper proposes a model of a unitary quantum field theory where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without changing its form. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant. With proper adjustments, they are reduced to Dirac, Schroedinger and Hamilton-Jacobi equations. A number of new experimental effects are predicted both for high and low energies.
Category: General Mathematics

[2365] viXra:1711.0170 [pdf] submitted on 2017-11-02 03:17:33

Smarandachely Adjacent-Vertex-Distinguishing Proper Edge Chromatic Number of Cm∨Kn

Authors: Shunqin Liu
Comments: 5 Pages.

According to different conditions, researchers have defined a great deal of coloring problems and the corresponding chromatic numbers. Such as, adjacent-vertex-distinguishing total chromatic number, adjacent-vertex-distinguishing proper edge chromatic number, smarandachely-adjacent-vertex-distinguishing proper edge chromatic number, smarandachely-adjacent-vertex-distinguishing proper total chromatic number.
Category: General Mathematics

[2364] viXra:1711.0169 [pdf] submitted on 2017-11-02 03:18:55

Smarandache Curves According to Sabban Frame for Darboux Vector of Mannheim Partner Curve

Authors: Suleyman Senyurt, Yasin Altun, Ceyda Cevahir
Comments: 6 Pages.

In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.
Category: General Mathematics

[2363] viXra:1711.0168 [pdf] submitted on 2017-11-02 03:19:49

Smarandache fuzzy BCI-algebras

Authors: Sun Shin Ahn, Young Joo Seo
Comments: 9 Pages.

The notions of a Smarandache fuzzy subalgebra (ideal) of a Smarandache BCI-algebra, a Smarandache fuzzy clean(fresh) ideal of a Smarandache BCI-algebra are introduced. Examples are given, and several related properties are investigated.
Category: General Mathematics

[2362] viXra:1711.0166 [pdf] submitted on 2017-11-02 03:23:35

Some Characterizations of S-α Fuzzy Semigroups by Their S-α Level Subgroups

Authors: R. Gowri, T. Rajeswari
Comments: 3 Pages.

The notion of fuzzy set was introduced by Zadeh.
Category: General Mathematics

[2361] viXra:1711.0165 [pdf] submitted on 2017-11-02 03:31:44

Special Fuzzy Boolean Ring

Authors: Dwiraj Talukdar, Sisir Kumar Rajbongshi
Comments: 3 Pages.

The set of all mappings from a finite set X into a closed interval [0,1] is the set of fuzzy sets denoted by F .
Category: General Mathematics

[2360] viXra:1711.0164 [pdf] submitted on 2017-11-02 03:34:55

Accessible Single-Valued Neutrosophic Graphs

Authors: M. Hamidi, A. Borumand Saeid
Comments: 26 Pages.

This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.
Category: General Mathematics

[2359] viXra:1711.0163 [pdf] submitted on 2017-11-02 03:35:40

A Framework for Diagnosing Confusable Diseases using Neutrosophic based Neural Network

Authors: Okpako Abugor Ejaita, Asagba P. O.
Comments: 7 Pages.

The two major motivations in medical science are to prevent and diagnose diseases. Diagnosis of disease must be done with care since it is the first stage of therapeutic actions towards eventual management of the disease; a mistake at this stage is disastrous and such adequate care must be ensured.
Category: General Mathematics

[2358] viXra:1711.0162 [pdf] submitted on 2017-11-02 03:37:00

A Multi-Criteria Decision-Making Method Based on Single-Valued Trapezoidal Neutrosophic Preference Relations with Complete Weight Information

Authors: Ru-xia Liang, Jian-qiang Wang, Hong-yu Zhang
Comments: 16 Pages.

Single-valued trapezoidal neutrosophic numbers (SVTNNs) have a strong capacity to depict uncertain, inconsistent, and incomplete information about decisio nmaking problems.
Category: General Mathematics

[2357] viXra:1711.0161 [pdf] submitted on 2017-11-02 03:38:21

Analysis Data Sets Using Hybrid Techniques Applied Artificial Intelligence Based Production Systems Integrated Design

Authors: Daniel-Petru GHENCEA, Miron ZAPCIU, Claudiu-Florinel BISU, Elena-Iuliana BOTEANU, Elena-Luminiţa OLTEANU
Comments: 17 Pages.

Lucrarea propune un model de previziune a comportării arborelui principal din punct de vedere al deformaţiilor termice şi a nivelului vibraţiilor prin evidenţierea şi prelucrarea ecuaţiilor caracteristice.
Category: General Mathematics

[2356] viXra:1711.0160 [pdf] submitted on 2017-11-02 03:39:34

A Neutrosophic Filter for High-Density Salt and Pepper Noise Based on Pixel-Wise Adaptive Smoothing Parameter

Authors: Xianying Qi, Boqiang Liu, Jianwei Xu
Comments: 10 Pages.

Image indeterminacy has been neglected in most traditional filtering algorithms. This paper proposes a pixel-wise adaptive neutrosophic filter based on neutrosophic indeterminacy feature to remove high-level Salt-and-Pepper noise.
Category: General Mathematics

[2355] viXra:1711.0158 [pdf] submitted on 2017-11-02 03:41:42

A New Decision-Making Method Based on Bipolar Neutrosophic Directed Hypergraphs

Authors: Muhammad Akram, Anam Luqman
Comments: 29 Pages.

Directed hypergraphs are widely used as a tool to solve and model the problems appearing in computer science and operations research. Bipolar neutrosophic models are more flexible and applicable because these models study neutrosophic behavior positively as well as negatively.
Category: General Mathematics

[2354] viXra:1711.0155 [pdf] submitted on 2017-11-02 04:22:38

An Introduction to the Neutrosophic Fuzzy in Queue

Authors: P.Kumuthavalli, Sangeetha
Comments: 6 Pages.

In this paper one generalizes the classical fuzzy and imprecise fuzzy to the notion of “neutrosophic fuzzy” in order to be able to queue model. In this paper, we focus on developing an neutrosophic probability which is a new problem solving queue operation in the real standard domain by implementing a novel term " intuitionistic fuzzy neutrosophic logic,".
Category: General Mathematics

[2353] viXra:1711.0154 [pdf] submitted on 2017-11-02 04:24:03

Another Note on Paraconsistent Neutrosophic Sets

Authors: Francisco Gallego Lupiáñez
Comments: 4 Pages.

In an earlier paper, we proved that Smarandache’s definition of neutrosophic paraconsistent topology is neither a generalization of Çoker’s intuitionistic fuzzy topology nor a generalization of Smarandache’s neutrosophic topology. Recently, Salama and Alblowi proposed a new definition of neutrosophic topology, that generalizes Çoker’s intuitionistic fuzzy topology. Here, we study this new definition and its relation to Smarandache’s paraconsistent neutrosophic sets.
Category: General Mathematics

[2352] viXra:1711.0152 [pdf] submitted on 2017-11-02 04:26:59

A Novel 3D Skeleton Algorithm Based on Neutrosophic Cost Function

Authors: Yanhui Guo, Abdulkadir Sengur
Comments: 8 Pages.

A skeleton provides a synthetic and thin representation of three dimensional objects, and is useful forshape description and recognition. In this paper, a novel 3D skeleton algorithm is proposed based onneutrosophic cost function.
Category: General Mathematics

[2351] viXra:1711.0150 [pdf] submitted on 2017-11-02 04:29:26

A Novel Decision Support Model for Satisfactory Restaurants Utilizing Social Information: a Case Study of Tripadvisor.com

Authors: Hong-yu Zhang, Pu Ji, Jian-qiang Wang, Xiao-hong Chen
Comments: 17 Pages.

Decision support models for satisfactory restaurants have attracted numerous researchers' attention. Many extant models do not consider the active, neutral and passive information in online reviews all at once.
Category: General Mathematics

[2350] viXra:1711.0149 [pdf] submitted on 2017-11-02 04:30:30

A Novel Image Edge Detection Algorithm Based on Neutrosophic Set

Authors: Yanhui Guo, Abdulkadir Sengür
Comments: 3 Pages.

Neutrosophic set (NS) theory is a formal framework to study the origin, nature, and scope of the neutral state. In this paper, neutrosophic set is applied in image domain and a new directional a-mean operation is defined.
Category: General Mathematics

[2349] viXra:1711.0148 [pdf] submitted on 2017-11-02 04:31:25

A Novel Image Segmentation Algorithm Based on Neutrosophicsimilarity Clustering

Authors: Yanhui Guo, Abdulkadir Sengür
Comments: 8 Pages.

Segmentation is an important research area in image processing, which has been used to extract objectsin images. A variety of algorithms have been proposed in this area. However, these methods perform wellon the images without noise, and their results on the noisy images are not good.
Category: General Mathematics

[2348] viXra:1711.0145 [pdf] submitted on 2017-11-02 04:35:11

A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application

Authors: Zhi-Lian Guo, Yan-Ling Liu, Hai-Long Yang
Comments: 19 Pages.

In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment.
Category: General Mathematics

[2347] viXra:1711.0144 [pdf] submitted on 2017-11-02 04:36:19

A Novel Segmentation Approach Combining Region- and Edge-Based Information for Ultrasound Images

Authors: Yaozhong Luo, Longzhong Liu, Qinghua Huang, Xuelong Li
Comments: 19 Pages.

Ultrasound imaging has become one of the most popular medical imaging modalities with numerous diagnostic applications.However, ultrasound (US) image segmentation, which is the essential process for further analysis, is a challenging task due to the poor image quality.
Category: General Mathematics

Replacements of recent Submissions

[102] viXra:1802.0224 [pdf] replaced on 2018-02-19 04:36:12

An Application of Single-Valued Neutrosophic Sets in Medical Diagnosis

Authors: Gulfam Shahzadi, Muhammad Akram, Arsham Borumand Saeid
Comments: 9 Pages.

In this paper, we present the use of single-valued neutrosophic sets in medical diagnosis by using distance measures and similarity measures. Using interconnection between single-valued neutrosophic sets and symptoms of patient, we determine the type of disease. We define new distance formulas for single valued neutrosophic sets. We develop two new medical diagnosis algorithms under neutrosophic environment. We also solve a numerical example to illustrate the proposed algorithms and finally, we compare the obtained results.
Category: General Mathematics

[101] viXra:1801.0257 [pdf] replaced on 2018-02-06 10:22:40

Euler's Formula for Zeta(2n)

Authors: Timothy W. Jones
Comments: 13 Pages. Further derivations added.

This article seeks to give a clear and motivated proof of Euler's formula for zeta(2n) using known proofs.
Category: General Mathematics

[100] viXra:1801.0257 [pdf] replaced on 2018-01-28 10:41:50

Euler's Formula for Zeta(2n)

Authors: Timothy W. Jones
Comments: 8 Pages. There are many texts that give this result, but they tend to be dated.

This article seeks to give a clear and motivated proof of Euler's formula for zeta(2n) using known proofs.
Category: General Mathematics

[99] viXra:1801.0177 [pdf] replaced on 2018-01-23 23:28:12

Calculating Number of Days Passed Since the Introduction of Gregorian Calendar

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of calculating number of days passed since the introduction of Gregorian Calendar for any given date using simplified formula. It consists of nine algebraic expressions, five of which are integer function by substituting the year, month and day. This formula will calculate the n^th days which gives a number from 1 to ∞ (October 15, 1582 being the day one), that determines the exact number of days passed. This algorithm has no condition even during leap-year and 400-year cycle.
Category: General Mathematics

[98] viXra:1801.0154 [pdf] replaced on 2018-01-22 22:25:10

Calculating Days Difference Between Gregorian and Julian Calendar

Authors: Dave Ryan T. Cariño
Comments: 2 Pages.

This study is an algorithm of calculating days difference between Gregorian & Julian calendar using simplified formula. It consists of two integer function by substituting the year. This formula will determine the exact number of days in any given Year as of December 31. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[97] viXra:1801.0132 [pdf] replaced on 2018-01-30 23:58:46

Calculating the Number of Days in Any Year

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of calculating the number of days in any given Year in Gregorian & Julian calendar using simplified formula. It consists of seven algebraic 3 for Julian expression, six of it are integer function by substituting the year. This formula will calculate the number of days which gives a number from 365 to 366 that determines the exact number of days in a given Year. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[96] viXra:1801.0132 [pdf] replaced on 2018-01-22 00:44:48

Counting the Number of Days in Any Year

Authors: Dave Ryan T. Cariño
Comments: 3 Pages.

This study is an algorithm of calculating the number of days in any given Year in Gregorian & Julian calendar using simplified formula. It consists of seven algebraic 3 for Julian expression, six of it are integer function by substituting the year. This formula will calculate the number of days which gives a number from 365 to 366 that determines the exact number of days in a given Year. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[95] viXra:1801.0123 [pdf] replaced on 2018-01-18 05:35:40

Calculating the Day of the Week – Direct Substitution

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

Abstract. This study is an algorithm of calculating the day of the week for any given date in Gregorian & Julian calendar using simplified formula. It consists of eight algebraic 6 for Julian expression, five of which are integer function by substituting the year, month and day. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0Saturday, 1Sunday, and so on, that determines the exact day of the week. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[94] viXra:1801.0123 [pdf] replaced on 2018-01-17 23:02:26

Calculating the Day of the Week Algorithm

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is an algorithm of calculating the day of the week for any given date in Gregorian & Julian calendar using simplified formula. It consists of eight algebraic 6 for Julian expression, five of which are integer function by substituting the year, month and day. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0Saturday, 1Sunday, and so on, that determines the exact day of the week. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[93] viXra:1801.0123 [pdf] replaced on 2018-01-13 21:46:46

Calculating the Day of the Week – Direct Substitution

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is a new algorithm of calculating the day of the week for any given date in Gregorian & Julian calendar using simplified formula. It consists of eight algebraic (6 for Julian) expression, five of which are integer function by substituting the year, month and day. This formula will calculate the modulo 7 which gives a number from 0 to 6, i.e., 0=Saturday, 1=Sunday, and so on, that determines the exact day of the week. This algorithm has no condition even during leap-year and 400-year cycle.
Category: General Mathematics

[92] viXra:1801.0099 [pdf] replaced on 2018-01-30 23:54:12

Calculating the Number of Days in a Month-Year

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is an algorithm of calculating the number of days of the Month‐Year for any given Month and Year in Gregorian & Julian calendar using simplified formula. It consists of eleven algebraic 6 for Julian expression, all of it are integer function by substituting the year and month. This formula will calculate the number of days which gives a number from 28 to 31 that determines the exact number of days in a given Month‐Year. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[91] viXra:1801.0099 [pdf] replaced on 2018-01-21 05:00:10

Counting the Number of Days in a Month-Year

Authors: Dave Ryan T. Cariño
Comments: 4 Pages.

This study is an algorithm of calculating the number of days of the Month‐Year for any given Month and Year in Gregorian & Julian calendar using simplified formula. It consists of eleven algebraic 6 for Julian expression, all of it are integer function by substituting the year and month. This formula will calculate the number of days which gives a number from 28 to 31 that determines the exact number of days in a given Month‐Year. This algorithm has no condition even during leap‐year and 400‐year cycle.
Category: General Mathematics

[90] viXra:1801.0022 [pdf] replaced on 2018-01-10 09:44:26

Feasible Mathematics

Authors: Alexandre Harvey-Tremblay
Comments: 12 Pages.

From algorithmic information theory (and using notions of algorithmic thermodynamics), we introduce *feasible mathematics* as distinct from *universal mathematics*. Feasible mathematics formalizes the intuition that theorems with very long proofs are unprovable within the context of limited computing resources. It is formalized by augmenting the standard construction of Omega with a conjugate-pair that suppresses programs with long runtimes. The domain of the new construction defines feasible mathematics.
Category: General Mathematics

[89] viXra:1712.0636 [pdf] replaced on 2018-01-10 15:31:25

Union of Two Arithmetic Sequences - Basic Calculation Formula (1)

Authors: Waldemar Zieliński
Comments: 7 Pages.

Let A, B denote infinite arithmetic progressions in N with initial terms equal to 0. The union of A, B is strictly increasing sequence U, containing only all elements of A, B (without repetitions). We will derive the formula for the n-th element of the union U(A,B)=(u_n) in the form: u_n=f(n,a,b).
Category: General Mathematics

[88] viXra:1712.0636 [pdf] replaced on 2017-12-28 17:06:36

Union of Two Arithmetics Sequences - Basic Calculation Formula (1)

Authors: Waldemar Zieliński
Comments: 7 Pages.

Let A, B denote infinite arithmetic sequences in N with initial terms equal to 0. The union of A, B is strictly increasing sequence U, containing only all elements of A, B (without repetitions). We will derive the formula for the n-th element of the union U(A,B)=(u_n) in the form: u_n=f(n,a,b).
Category: General Mathematics