[9] **viXra:1904.0593 [pdf]**
*submitted on 2019-04-30 08:36:42*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

In this note we give a trigonometric integral.

**Category:** General Mathematics

[8] **viXra:1904.0591 [pdf]**
*submitted on 2019-04-30 08:42:19*

**Authors:** Edgar Valdebenito

**Comments:** 2 Pages.

This note presents some definite integrals.

**Category:** General Mathematics

[7] **viXra:1904.0590 [pdf]**
*submitted on 2019-04-30 08:44:57*

**Authors:** Edgar Valdebenito

**Comments:** 1 Page.

This note presents some formulas for Pi.

**Category:** General Mathematics

[6] **viXra:1904.0589 [pdf]**
*submitted on 2019-04-30 10:32:39*

**Authors:** August Lau

**Comments:** Pages.

Data is abundant but has few answers. Massive data challenges mathematics when no equation exists. Data processing has no universal operator but uses a combination of operators. Physical science has done well with formal rules and equations, typically low order equation and low dimensional space. Data science lives in high/infinite dimensional space where an object has many attributes. Finally, “point set topology” liberated us from the rigidity of differential calculus and extended our mind to perceive infinite/infinitesimal objects. Our response should be to embrace more data and more operators. We should be inventors of new mathematical tools to process and interpret data.

**Category:** General Mathematics

[5] **viXra:1904.0453 [pdf]**
*submitted on 2019-04-23 08:42:05*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

In this note we give, the three real roots of the equation: x=1+cos(3-3x) ,x real.

**Category:** General Mathematics

[4] **viXra:1904.0298 [pdf]**
*submitted on 2019-04-15 08:28:41*

**Authors:** Edgar Valdebenito

**Comments:** 5 Pages.

En esta nota recordamos una fórmula de Ramanujan y mostramos algunos resultados relacionados con dicha fórmula.

**Category:** General Mathematics

[3] **viXra:1904.0184 [pdf]**
*replaced on 2019-06-30 06:57:27*

**Authors:** Adam Bourne

**Comments:** 7 pages, English

A method is described for interpolating un-sampled values attributed to points in code space. A metric is used which counts the number of non-equal corresponding indices shared by two given points.
A generalised interpolation equation is derived for values ascribed to nodes on undirected graphs. The equation is then applied specifically to values at points in code space. This interpo- lation equation is then solved in general for a set of given sampled values in the space.

**Category:** General Mathematics

[2] **viXra:1904.0028 [pdf]**
*submitted on 2019-04-02 20:08:20*

**Authors:** Saburou Saitoh, Yoshinori Saitoh

**Comments:** 10 Pages. In this paper, from an example of Bh\={a}skara, we will see the result $1/0=0/0=0$. {\bf This very simple and clear example will be very attractive for general people over mathematicians}.

In this paper, we will introduce the division by zero calculus and Bh\={a}skara's simple example which shows clearly both $1/0=0$ and $0/0=0$.

**Category:** General Mathematics

[1] **viXra:1904.0022 [pdf]**
*submitted on 2019-04-01 07:34:05*

**Authors:** Edgar Valdebenito

**Comments:** 4 Pages.

En esta nota se presentan algunas fórmulas relacionadas con una integral del tipo Frullani.

**Category:** General Mathematics