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Real Analysis - Susam Pal
Real Analysis † Started: 27 Jul 2024 † There are some exceptions to this schedule occasionally. Join #susam:matrix.org or #susam:libera.chat or follow @susam@mastodon.social to rece...
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Function - Susam Pal
Function Susam Pal on 20 Oct 2024 In mathematics, a function \( f \) from a set \( X \) to a set \( Y \) is a relation that associates each element of \( X \) with exactly one element of \( Y. ...
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Lost Solutions - Susam Pal
Lost Solutions Algebraic Equation Let me start this post with a simple equation: \[ x(x - 2) = 3x. \] Let us first solve it in a flawed manner. Dividing both sides by \( x \) we get...
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Journey to the Prime Number Theorem - Susam Pal
Journey to the Prime Number Theorem By Susam Pal on 09 Sep 2021 How long does it take to start with zero knowledge of analytic number theory and successfully learn the analytic proof of the prim...
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My Coding Adventures in 2023 - Susam Pal
My Coding Adventures in 2023 By Susam Pal on 25 Dec 2023 In moments of leisure, I find myself immersed in crafting personal tools and exploring the joys of computer programming. Sometimes a f...
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Notes on Chapter 1: Introductory Ideas - Susam Pal
Notes on Chapter 1: Introductory Ideas By Contents Example of Non-Differentiable Function It is not obvious from the graph that \[ f(x) = \begin{cases} x \sin(1/x) & \text{ if } x \neq ...