[13] **viXra:1902.0432 [pdf]**
*submitted on 2019-02-25 22:16:51*

**Authors:** Saburou Saitoh

**Comments:** 9 Pages. In this paper, as one important property of zero, we will simply show that zero expresses non-possibility.

In this paper, as one important property of zero, we will simply show that zero expresses non-possibility.

**Category:** General Mathematics

[12] **viXra:1902.0410 [pdf]**
*replaced on 2019-02-25 21:49:36*

**Authors:** Toshiro Takami

**Comments:** 4 Pages.

Abstract
From the graph, we see that the line of a = 0.5 runs in the middle.
If a = 0.5 and the curve on the right side is y is sufficiently large, It will run immediately, but never touch.
The formula (2) is an expression that holds when infinitely going on, and it will not hold if it stops halfway.
The figure below is a graph of complex numbers on the plane.
I can prove not to take the zero point at a <0.5, 0.5 <a.

**Category:** General Mathematics

[11] **viXra:1902.0263 [pdf]**
*replaced on 2019-03-15 03:58:53*

**Authors:** Toshiro Takami

**Comments:** 2 Pages.

Have you ever received emails from the future or letters from the future? It is a person who is thinking of making a time machine seriously. If you put a letter to the past in the Tesla coil (the space must be reversed in the coil) and put a stamp, Japan should definitely put it in the post even if it is on the way (In the Showa era when it was once peaceful). In that way, I would like to write a warning letter to the past.

**Category:** General Mathematics

[10] **viXra:1902.0240 [pdf]**
*submitted on 2019-02-13 22:57:25*

**Authors:** Saburou Saitoh

**Comments:** 13 Pages. In this paper, we first fix the definitions of zero and infinity in very general senses and we will give their simple and definite relation by means of division by zero. On this problem and relation we have considered over the long history beyond mathema

In this paper, we first fix the definitions of zero and infinity in very general senses and we will give their simple and definite relation by means of division by zero. On this problem and relation we have considered over the long history beyond mathematics. As our mathematics, we will be able to obtain some definite result for the relation clearly with new concept and model since Aristotle and Euclid.

**Category:** General Mathematics

[9] **viXra:1902.0238 [pdf]**
*submitted on 2019-02-14 00:28:27*

**Authors:** Surapati Pramanik, Rama Mallick

**Comments:** 10 Pages.

Multi-attribute decision making(MADM) strategy has been proposed to handle uncertain decision making problem .The most extensively used models of Grey system theory is grey relational analysis (GRA). This strategy was flourished by Chinese Professor J. Deng. This strategy also known as Deng’s Grey Incidence Analysis model. GRA uses a generic concept of intelligence. It describes any circumstance as, no information as black, and perfect information as white. Nevertheless, these idealized situations ever appear in real world problem. In this paper, we extend GRA strategy for multi attribute decision making in trapezoidal neutrosophic number (TrNN) environment. Here, we describe score and accuracy function for TrNNs. Then Hamming distance for twoTrNNs are also described. Lastly, a numerical problem is solved to explain thepertinence of the proposed strategy.

**Category:** General Mathematics

[8] **viXra:1902.0221 [pdf]**
*submitted on 2019-02-12 23:41:31*

**Authors:** Hiroshi Okumura

**Comments:** 1 Page.

We consider why Brahmagupta did not refer to $z/0$ for $z\not=0$ but $0/0=0$.

**Category:** General Mathematics

[7] **viXra:1902.0216 [pdf]**
*submitted on 2019-02-12 06:24:16*

**Authors:** Edgar Valdebenito

**Comments:** 13 Pages.

Esta nota muestra una integral para la constante Pi y algunos fractales.

**Category:** General Mathematics

[6] **viXra:1902.0215 [pdf]**
*submitted on 2019-02-12 06:26:02*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

This note presents a logarithmic integral for Pi.

**Category:** General Mathematics

[5] **viXra:1902.0204 [pdf]**
*submitted on 2019-02-11 18:46:02*

**Authors:** Saburou Saitoh

**Comments:** 6 Pages. A new very interesting interpretation for negative areas of figures.

In this paper, we give a simple and surprising interpretation of minus areas of figures by means of the division by zero calculus 1/0=0.

**Category:** General Mathematics

[4] **viXra:1902.0187 [pdf]**
*submitted on 2019-02-10 22:40:35*

**Authors:** Saburou Saitoh

**Comments:** 6 Pages. By the concrete examples, we will be able to understand 1/0=0 with clear feelings.

The division by zero 1/0=0 was discovered on 2014.2.2, however, the result may still not be accepted widely with old and wrong feelings. Since we gave already logically mathematics on the division by zero, here we will give very good examples in order to see the division by zero 1/0=0 clearly. By these examples, we will be able to understand the division by zero as a trivial one.

**Category:** General Mathematics

[3] **viXra:1902.0138 [pdf]**
*submitted on 2019-02-07 22:47:16*

**Authors:** John Sherfey

**Comments:** 1 Page. Idk

This is a test to see how well this works

**Category:** General Mathematics

[2] **viXra:1902.0078 [pdf]**
*submitted on 2019-02-05 01:56:12*

**Authors:** D Williams

**Comments:** 11 Pages.

Part II provides more details and examples of an alternative probability theory as outlined previously in "A Possible Alternative Model of Probability?" which should be considered as Part I. Some alternative estimators (dx-less, "wild") are given that seem to be better at estimating stochastic expressions than expectations, along with some BASIC programs for estimating finite product approximations. Please help in solving the many unanswered questions involving this work.

**Category:** General Mathematics

[1] **viXra:1902.0058 [pdf]**
*submitted on 2019-02-03 22:47:53*

**Authors:** Saburou Saitoh

**Comments:** 7 Pages. It is a famous word that we are not permitted to divide the numbers and functions by zero. In our mathematics, {\bf prohibition} is a famous word for the division by zero. For this old and general concept, we will give a simple and affirmative answer. In

It is a famous word that we are not permitted to divide the numbers and functions by zero. In our mathematics, {\bf prohibition} is a famous word for the division by zero. For this old and general concept, we will give a simple and affirmative answer. In particular, certainly we gave several generalizations of division as in referred in the above, however, we will wish to understand with some good feelings for {\bf the division by zero}. We wish to know the division by zero with some good feelings. We wish to give clearly a good meaning for the division by zero in this paper.

**Category:** General Mathematics