General Mathematics

1801 Submissions

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

Calculating Nth Day of the Date in a Calendar Year

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

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

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

Coxeter Algebras and Pre-Coxeter Algebras in Smarandache Settings

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

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

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

On Pre-Coxeter Algebras

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

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

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

Smarandache Algebras and Their Subgroups

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

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

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

Smarandache Disjoint in BCK/D-Algebras

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

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

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

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

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

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

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

Question 422 : A Definite Integral

Authors: Edgar Valdebenito
Comments: 2 Pages.

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

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

Question 423 : On pi

Authors: Edgar Valdebenito
Comments: 2 Pages.

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

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

Question 424 :Double Integral for Pi^2

Authors: Edgar Valdebenito
Comments: 1 Page.

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

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

Predicting Day of Christmas Day

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

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

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

Euler's Formula for Zeta(2n)

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

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

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

Smarandache BCC-Algebras

Authors: Young Bae Jun
Comments: 8 Pages.

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

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

Smarandache Bci-Algebras

Authors: Young Bae Jun
Comments: 6 Pages.

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

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

Smarandache Fresh and Clean Ideals of Smarandache Bci Algebras

Authors: Young Bae Jun
Comments: 8 Pages.

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

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

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

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

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

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

Smarandache Hyper Algebras

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

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

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

Smarandache Hyper K-Algebras

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

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

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

Positive Implicative Smarandache BCC-Ideals in Smarandache BCC-Algebras

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

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

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

Smarandache Stuctures of Generalized BCK-Algebras

Authors: Young Bae Jun
Comments: 6 Pages.

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

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

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

Authors: Edgar Valdebenito
Comments: 3 Pages.

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

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

Question 420 :Some Formulas Related with pi

Authors: Edgar Valdebenito
Comments: 7 Pages.

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

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

Calculating Number of Days Passed Since the Introduction of Gregorian Calendar

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

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

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

Calculating Days Difference Between Gregorian and Julian Calendar

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

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

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

Mathematics as an Interconnected Whole

Authors: Mark Burgin
Comments: 15 Pages.

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

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

Calculating the Number of Days in Any Year

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

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

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

Calculating the Day of the Week – Direct Substitution

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

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

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

Calculating the Number of Days in a Month-Year

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

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

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

A Collection of Attractors

Authors: Edgar Valdebenito
Comments: 39 Pages.

This note presents a collection of attractors
Category: General Mathematics

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

Machin-Type Formulas for pi

Authors: Edgar Valdebenito
Comments: 5 Pages.

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

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

On Radicals , Polynomials , pi

Authors: Edgar Valdebenito
Comments: 3 Pages.

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

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

Feasible Mathematics

Authors: Alexandre Harvey-Tremblay
Comments: 12 Pages.

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