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October 1, 2019
Inequality - In Equality

This article aims to give you a brief overview of Inequality, which will serve as an introduction to this beautiful sub-topic of Algebra. This article doesn't aim to give a list of formulas and methodologies stuffed in single baggage, rather it is specifically designed to make the introduction to the field of inequality more exciting […]

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September 30, 2019
4 questions from Sylow’s theorem: Qn 4

I have prepared some common questions ok application of Sylow's theorem with higher difficulty level. It is most propably cover all possible combination.

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September 30, 2019
4 questions from Sylow’s theorem: Qn 3

I have prepared some common questions ok application of Sylow's theorem with higher difficulty level. It is most propably cover all possible combination.

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September 30, 2019
4 questions from Sylow’s theorem: Qn 2

I have prepared some common questions ok application of Sylow's theorem with higher difficulty level. It is most propably cover all possible combination.

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September 30, 2019
4 questions from Sylow’s theorem: Qn 1

I have prepared some common questions ok application of Sylow's theorem with higher difficulty level. It is most propably cover all possible combination.

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September 29, 2019
Arithmetical Dynamics: Part 6

Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. Again, we are here with the Part 6 of the Arithmetical Dynamics Series. Let's get started.... Consider fix point of \( R(z) = z^2 - z \) . Which is the solution of $$ R(z) = z \\ \Rightarrow z^2 - z […]

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September 29, 2019
Arithmetical Dynamics: Part 5

Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. The basic objective of Arithmetical dynamics is to explain the arithmetic properties with regard to underlying geometry structures. Again, we are here with the Part 5 of the Arithmetical Dynamics Series. Let's get started.... And suppose that R has no periodic points […]

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September 29, 2019
Arithmetical Dynamics: Part 0

Arithmetical dynamics is the combination of dynamical systems and number theory in mathematics. We are here with the Part 0 of the Arithmetical Dynamics Series. Let's get started.... Rational function \( R(z)= \frac {P(z)}{Q(z)} \) ; where P and Q are polynimials . There are some theory about fixed points . Theorem: Let \( \rho […]

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September 27, 2019
Sum based on Probability - ISI MMA 2018 Question 24

This is an interesting and cute sum based on the concept of Arithematic and Geometric series .The problem is to find a solution of a probability sum.

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September 27, 2019
System of the linear equation: ISI MMA 2018 Question 11

This is a cute and interesting problem based on System of the linear equation in linear algebra. Here we are finding the determinant value .

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