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Cypherpunks write code (A Cypherpunk’s Manifesto - Eric Hughes, 1993). Therefore, I want to work through various problems from Project Euler and Cryptopals. However, currently, I can’t code proficiently in any language.
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Following is the comparison of tech specs of my new tablet (USD 315 + taxes) with the older tablet (USD 280 + taxes):
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In this post, I discuss the options available for doing computational experiments in advanced number theory.
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Here is a collection of options available for embedding vector graphics in LaTeX when using pdfLaTeX. We can always use simple mathematical programs like GeoGebra for 2D and 3D graphs and drawing programs like Google Drawing for diagrams. These graphs and diagrams can be exported as png or jpg (raster graphics) and then inserted in pdf using graphicx package.
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The purpose of this post is to present an example for UNIX as an IDE argument by using the Terminal Emulator as a versatile LaTeX editor. A good reference for learning LaTeX is “The not so Short Introduction to LaTeX.”
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I take you through the journey of distrohopping as I try to find a stable Linux distro for my custom-built PC with cheap parts.
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I would like to share my expereince of building a cheap PC capable of running Linux. With the “work-from-home” restriction imposed to counter COVID crisis, my chromebook became even more useless. It could neither run the desktop version of Zoom nor work with a drawing tablet. I believe these problems can be solved by enabling the Developer Mode and installing Ubuntu alongside ChromeOS, but I highly doubt that audio and other drivers will work in Ubuntu. However, since mobility is not desired anymore, I decided to build desktop PC with minimum possible budget (which turned out to be USD 650, same as the cost of the basic Pixelbook Go or an entry level ThinkPad with core i5 10th gen). Moreover, desktop CPUs are much more powerful than laptop CPUs, for instance the Intel Core i3-9100 gives slightly better performance than Intel Core i5-10210U.
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The laptop that I got when I joined college 5 years ago was now old enough to be replaced. Mostly because I picked the wrong specs when there was a choice (like chose Realtek over Intel NIC, 1x8GB over 2x4GB RAM, and 48Wh over 62Wh battery) and my lack of maintenance (never cleaned dust from inside or the rust from the ports). So I wanted something portable that can allow me to browse internet, write homework assignments in LaTeX (not Overleaf) and backup my data to the cloud. Moreover, I find Windows very irritating to use and prefer Ubuntu. However, due to budget constraints, I couldn’t just buy the USD 1000 Linux friendly laptops like Dell XPS or Lenovo ThinkPad .
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Consider the following example from Piskunov’s “Integral and Differential Calculus”:
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In this post I would like to share my old writeup about there existence of a continuous surjective map from $\mathbb{R}$ to $\mathbb{R}^2$. In other words, we will prove that that Hilbert’s Curve is a continuous surjective map. The proof presented here was explained by Dr. Manas Ranjan Sahoo, 3 years ago on 15th April 2016.
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In 1852, Chebyshev proved the Bertrand’s postulate:
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These are the two lesser known number systems, with confusing names.
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The problem has finally been solved by Matthew Scroggs.
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This has been an exciting week! Prof. Sukanta Pati proved an interesting theorem that enables us to get decomposition of $2m-1\times n$ grids into simpler grids, hence simplifying counting to large extent (note that $m=n$ is also allowed). It enables us to surpass the difficulty posed by “more than two crosses in one square”, thus supporting the idea of colouring (i.e. not giving importance to two crosses in a square).
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While discussing this problem with Dr. Shailesh Shirali, he commented that there has to be a way to phrase the problem in terms of a ray of light being reflected off the walls of the rectangle, bouncing around, proceeding from one corner to some other corner.
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I found many counterexamples to my conjecture, like
Also, grant93jr made the following comment:
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I will continue the previous post. Now the question to be answered is that:
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While doodling in my college classes, I designed an algorithm which I called Cross Diagonal Cover Algorithm:
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Many of you must have seen numerous examples of such situations where we get an absurd result and have to spot flaw in proof.
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Here is my first post.