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2018 - 1801(31) - 1802(18)

Any replacements are listed further down

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

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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

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

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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*

**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