## A Possible Proof of Collatz Conjecture

Our reader Eswar Chellappa has sent his work on the solution of '3X+1' problem, also called Collatz Conjecture. He had been working on the proof of Collatz Conjecture off and on for almost ten years.…

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Our reader Eswar Chellappa has sent his work on the solution of '3X+1' problem, also called Collatz Conjecture. He had been working on the proof of Collatz Conjecture off and on for almost ten years.…

Infinitely many answers questions are possible to the answer, "No". So, our real task should be to find one of THOSE many, which seems to be a perfect one. A simple and the first ever…

This mathematical fallacy is due to a simple assumption, that $ -1=\dfrac{-1}{1}=\dfrac{1}{-1}$ . Proceeding with $ \dfrac{-1}{1}=\dfrac{1}{-1}$ and taking square-roots of both sides, we get: $ \dfrac{\sqrt{-1}}{\sqrt{1}}=\dfrac{\sqrt{1}}{\sqrt{-1}}$ Now, as the Euler's constant $ i= \sqrt{-1}$…

Here is an interesting mathematical puzzle alike problem involving the use of Egyptian fractions, whose solution sufficiently uses the basic algebra. Problem Let a, b, c, d and e be five non-zero complex numbers, and;…

Ramanujan (1887-1920) discovered some formulas on algebraic nested radicals. This article is based on one of those formulas. The main aim of this article is to discuss and derive them intuitively. Nested radicals have many…

This is a puzzle which I told to my classmates during a talk, a few days before. I did not represent it as a puzzle, but a talk suggesting the importance of Math in general…

This is a famous problem of intermediate analysis, also known as 'Archimedes' Cattle Problem Puzzle', sent by Archimedes to Eratosthenes as a challenge to Alexandrian scholars. In it one is required to find the number…

This is not just math, but a very good test for linguistic reasoning. If you are serious about this test and think that you’ve a sharp [at least average] brain then read the statement (only)…

Two close friends, Robert and Thomas, met again after a gap of several years. Robert Said: I am now married and have three children. Thomas Said: That's great! How old they are? Robert: Thomas! Guess…

Before my college days I used to multiply this way. But as time passed, I learned new things. In a Hindi magazine named "Bhaskar Lakshya", I read an article in which a columnist ( I can't…

Multiplication is probably the most important elementary operation in mathematics; even more important than usual addition. Every math-guy has its own style of multiplying numbers. But have you ever tried multiplicating by this way? Exercise:…

Let have a Test: You need to make a calculation. Please do neither use a calculator nor a paper. Calculate everything "in your brain". Take 1000 and add 40. Now, add another 1000. Now add…

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