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how to use reverse and forward search with vim and zathura
Thu, 05/16/2019 - 13:00 — yonatan zilpa

A simple way to do forward and reverse search with Vim and Zathura.
Tags:
laTex
zathura
pdflatex
inverse search
forward search
vim
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Free Textbooks in Mathematics
Fri, 02/24/2017 - 08:00 — yonatan zilpa

The following is a list of links to useful textbooks in mathematics, available for free on the Internet. All books are legally safe to download, The books are in printable format - Postscript (PS) or Portable Document Format (PDF). You are free to download, read and print them. This is a partial list of "free textbooks" in math, the list is to be updated regularly.
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math textbooks
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Conceptual Language and Learning
Mon, 12/26/2016 - 15:17 — yonatan zilpa

Normally when we learn human spoken language we translate words to our own mother tongue language. But when we learn our mother tongue language we have no language to translate new words. How do we understand mother tongue without translating words? Is there some kind of conceptual language where we can translate mother tongue new words? And if so, can we use this conceptual language to become better learner?

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learning tips
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The circle of Apollonius
Fri, 02/26/2016 - 17:05 — yonatan zilpa

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.
Tags:
geometry
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Getting help in Tex Typesetting System
Wed, 05/15/2019 - 04:36 — yonatan zilpa

Normally 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:
Tags:
texdoc
laTex
tex
TexLive
MikTex
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Google search tips
Thu, 11/24/2016 - 14:40 — yonatan zilpa

Tips and tricks on Google search techniques.
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google
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Finding which package provides a command
Tue, 05/14/2019 - 00:46 — yonatan zilpa

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
Tags:
apt
apt-file
Debian
Ubuntu
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Cybersecurity links
Fri, 02/24/2017 - 16:35 — yonatan zilpa

Links to guides blogs and tutorial in computer security.
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cyber
security
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List of Computer tools in mathematics
Fri, 02/26/2016 - 16:53 — yonatan zilpa

The following list links to free computer tools for mathematics.
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Hahn Decomposition Theorem
Thu, 11/24/2016 - 14:07 — yonatan zilpa
Let $\nu$ be a signed measure over measurable space $(X,\mathcal{M})$. Denote $\tilde{N}=\left\{ u\in \mathcal{M} \; :\; \mbox{$u$ is $\nu$-negative} \right\}$ and $\tilde{P}=\left\{ u\in \mathcal{M} \; :\; \mbox{$u$ is $\nu$-positive} \right\}$

$\exists N\in \tilde{N}\Big(\exists P \in \tilde{P}\Big( N\cap P=\emptyset \; \mbox{ and }\; N\cup P = X\Big)\Big)$

$\forall N,N^{'}\in \tilde{N}\Big(\forall P,P^{'}\in \tilde{P} \Big(N\sqcup P =N^{'}\sqcup P^{'}=X \; \Longrightarrow \nu( P\triangle \tilde{P})=\nu( N\triangle \tilde{N})=0\Big)\Big) $
Tags:
theorems
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how to use reverse and forward search with vim and zathura

Free Textbooks in Mathematics

Conceptual Language and Learning

The circle of Apollonius

Getting help in Tex Typesetting System

Google search tips

Finding which package provides a command

Cybersecurity links

List of Computer tools in mathematics

Hahn Decomposition Theorem

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