Digit Math Application: Proving that all numbers ending with 5 are divisible by 5

Please read Digit Math: Introduction before you continue. The problem It seems I have developed a fascination for the number 5, so here we go again. Here I would be using Digit Math to prove that all integers  which end with digit 5 are always divisible by 5. The proof Case 1: Take a two […]

Digit Math Application: Proving the correctness of shortcut method to squaring numbers ending with 5

Please read Digit Math: Introduction before you continue. The problem Someday, somewhere I came to know that any number which ends with the digit 5 can be easily squared. The trick can be easily demonstrate using an example. Suppose we want to find the square of 25. Trick is to take the number before 5 […]

Digit Math Application: Proving that multiplying with 10**n puts n zeros at the end

Please read Digit Math: Introduction before you continue. The problem This is a very fundamental concept that we were taught when we were in junior schools. Now, think of it, what it says. If you add $$x$$ ten times then you will get $$x\omega0$$. If you add $$x$$ hundred times then you will get $$x\omega00$$; and so […]

Digit Math: Introduction

The person in the above image is Bertrand Russell. Famous Mathematician and Logician.  An excellent graphic novel, Logicomix, is based around his life. That is a must read. First thing first. Even if you are not a Math demi-god, it is fine, Digit Math is still for you. In fact my academic track record shows that I […]

CInk version 2 finally released!

Finally CInk version 2 has been released. Some key new things New website with complete API documentation and guides on how you can use CInk JS code. Finally released the full source code of CInk renderer and compiler. License – GPL v3. CInk finally supports all the features of original CFDG, including Paths. CInk has […]

Create your own Cyberoam client in Python!

This is a very old post. Reposting it since while migrating it from blogger.com to here it got lost. Found it recently. Not sure how relevant or correct is this now. Cyberthon updated to version 2.5 by Vinit and Siddhartha Sahu:- Get the latest code from https://github.com/siddharthasahu/Cyberthon-enhanced. Cyberthon updated to version 1.2:- Added a new […]