[31] **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

[30] **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

[29] **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

[28] **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

[27] **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

[26] **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

[25] **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

[24] **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

[23] **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

[22] **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

[21] **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

[20] **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

[19] **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

[18] **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

[17] **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

[16] **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

[15] **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

[14] **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

[13] **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

[12] **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

[11] **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

[10] **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

[9] **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

[8] **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

[7] **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

[6] **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

[5] **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

[4] **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

[3] **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

[2] **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

[1] **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