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November 20, 2025 8:13 pm (EST)
Application of Modular Arithmetic (I)
I introduced modular arithmetic in an earlier post (Introducing Modular Arithmetic via Group Theory). Let us look an application of this theory in the following problem. Problem: Prove that there are no perfect squares ending in 99. On the surface, this seems incredibly hopeless. After all, there are infinitely many number like this: 99, 199,…
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November 20, 2025 8:13 pm (EST)
Elon Musk and me (2 little jokes)
1) I might be severely in debt but on a positive note, I have as much money as Elon Musk in absolute value. 2) Elon Musk’s bank account balance has many digits. Mine has as many digits too, though they are after the decimal point.
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November 20, 2025 8:13 pm (EST)
Harry Potter and the Cursed Child
I had the fortune to watch this play with my family. Without spoiling the play for people who have watched it, I want to pose a central question raised by the play. If you have a time-turner that can go back in time and change a few things in your life, do you want to…