🇮🇳🇮🇳 Wrestling With MATHS 🇮🇳🇮🇳

did you guys know about the Kaprekar constant 6174 ? Take any 4 digit number (with at least 2 different digits) ... say, 8955 Write it in ascending order (5589) and descending order (9855) Subtract the two to get - 4266 Repeat : 6642-2466 = 4176 Repeat: 7641-1467 = 6174 ! (If you continue with 6174 you keep getting 6174. sounds similar to collatz conjecture 🤔) Questions (increasing order of difficulty): 1) Prove this fact 2) Explore n-digit constants (of course, with proof) 3) Explore different bases of numbers

Give a function which is continuous on all rationals and discontinuous on irrationals Give a function which is continuous on all irrationals and discontinuous on rationals ( f : R -> R )

Damn that came out really long :( sorry for that. This is my first video This is related to the discussion on real numbers in my previous question

What is a real number ? Give a precise definition ...

Think Think ... Share @MathQOTD and @Math_Erudites for more

A good PnC problem Credits - @sciencelover9 Hint - use recursions Share @MathsQOTD and @Maths_Erudites for more

Here's a really interesting graph theory problem. Symmetry is very easy. Unimodality is involved Share @MathsQOTD and @Maths_Erudites for more.

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