## Getting help in Tex Typesetting System

Wed, 05/15/2019 - 04:36 — yonatan zilpaNormally**Tex typesetting system**distribution (such as TexLive, MikTex or TeTex) comes with a builtin help commands that provides excellent tutorials, books and plenty other documentations. Of course, the best way to learn it is to use it, so let's play with commands:- Read more about Getting help in Tex Typesetting System
- Log in or register to post comments

## Fibonacci Sequence, A Pattern of Natural Beauty

Fri, 02/26/2016 - 17:33 — yonatan zilpaThe sequence of Fibonacci can be found everywhere in nature. First mentioned by Leonardo Fibonacci who was a medieval mathematician that was trying to solve problem involving the growth of a population of rabbits. It became one of the most famous sequence in all of mathematics. Here is a mathematical description of some of its fundamental properties...- Read more about Fibonacci Sequence, A Pattern of Natural Beauty
- Log in or register to post comments

## BASH builtin commands: jobs fg and bg

Mon, 05/13/2019 - 08:58 — yonatan zilpaHow to get help on BASH builtin commands? How to use BASH builtin commands: jobs, fg, bg ?- Read more about BASH builtin commands: jobs fg and bg
- Log in or register to post comments

## Minimum way to move all circles

Thu, 11/24/2016 - 13:04 — yonatan zilpaConsider a game with three vertical sticks and 5 circles, where each circle has a hole in the middle. The circles arranged in one stick as shown in the picture: The task is to move all the circles to a nearby stick, circles can be move from one stick to another, but a circle cannot be put over a smaller one. What are the minimum number of steps needed to complete this task?- Read more about Minimum way to move all circles
- Log in or register to post comments

By definition, a circle is the locus of all points equidistant from a fixed center. However, the circle of Apollonius is defined differently. In the following post I will define and construct an Apollonian circle.

- Read more about The circle of Apollonius
- Log in or register to post comments

Let $f$ be any function asymptotic at zero. Prove/Disprove:

If $f$ is differentiable everywhere in its domain, then $\lim_{x\to \infty}f\;'(x)$ must be equal to zero?

If $f$ is differentiable everywhere in its domain, then $\lim_{x\to \infty}f\;'(x)$ must be equal to zero?

- Read more about Asymptotic Differentiable Function
- Log in or register to post comments

Suppose a command is not available in the system and we need to install it. How do we find a suitable package that provide this command? In Debian or Ubuntu we can simply run the following command

- Read more about Finding which package provides a command
- Log in or register to post comments

Let $\lambda$ be Borel measure.

- If $A$ is mesuarable and $\lambda(A)>0$, then $A-A=\left\{ x-y\; :\; x,y\in A \right\}$ contains a segment $I$ such that $0\in I$
- If $A, B$ are measurable sets and $\lambda(A), \lambda(B)>0$, then $A+B$ contains a segment I.

- Read more about Steinhaus theorem
- Log in or register to post comments