Monthly Archives: July 2017

Chebyshev Polynomials

Posted on July 28, 2017 by Sumant Sumant

Chebyshev polynomials are used in differential equations and here is a quick tutorial about their properties.

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Triangle Inequality n dimension

Posted on July 22, 2017 by Sumant Sumant
Posted in Inequalities, Linear Algebra, Proof, Real Analysis | Leave a comment

Triangle Inequality vs Cauchy Schwarz

Posted on July 22, 2017 by Sumant Sumant
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Triangle Inequality: Absolute Value version

Posted on July 14, 2017 by Sumant Sumant

Here is a proof of triangle inequality along with reverse triangle inequality with an important lemma to prove it.

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Harmonic Series Inequality

Posted on July 14, 2017 by Sumant Sumant
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Union of Bounded Sets

Posted on July 11, 2017 by Sumant Sumant

This explores the question what is meant by bounded sets ?

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Integer function to prove that set of Natural numbers is unbounded

Posted on July 11, 2017 by Sumant Sumant

For any , we have . Let means . So if you give me a positive natural number then i can find you a bigger positive natural number That proves that set of Natural Numbers is unbounded.

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Archimedean Property: 5 ways to say the same thing

Posted on July 11, 2017 by Sumant Sumant
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General proof of Density theorems

Posted on July 11, 2017 by Sumant Sumant

If one notice this inequality

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Limit Theorems

Posted on July 11, 2017 by Sumant Sumant
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