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2018 - 1801(31) - 1802(18)

Any replacements are listed further down

[2471] **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

[2470] **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

[2469] **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

[2468] **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

[2467] **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

[2466] **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

[2465] **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

[2464] **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

[2463] **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

[2462] **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

[2461] **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

[2460] **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

[2459] **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

[2458] **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

[2457] **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

[2456] **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

[2455] **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

[2454] **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

[2453] **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

[2452] **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

[2451] **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

[2450] **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

[2449] **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

[2448] **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

[2447] **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

[2446] **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

[2445] **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

[2444] **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

[2443] **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

[2442] **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

[2441] **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

[2440] **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

[2439] **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

[2438] **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

[2437] **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

[2436] **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

[2435] **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

[2434] **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

[2433] **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

[2432] **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

[2431] **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

[2430] **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

[2429] **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

[2428] **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

[2427] **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

[2426] **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

[2425] **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

[2424] **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

[2423] **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

[2422] **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

[2421] **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

[2420] **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

[2419] **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

[2418] **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

[2417] **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

[2416] **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

[2415] **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

[2414] **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

[2413] **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

[2412] **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

[2411] **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

[2410] **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

[2409] **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

[2408] **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

[2407] **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

[2406] **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

[2405] **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

[2404] **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

[2403] **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

[2402] **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

[2401] **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

[2400] **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

[2399] **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

[2398] **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

[2397] **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

[2396] **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

[2395] **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

[2394] **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

[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