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Maths of cause and effect

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Cause and Effect: Decoding the Algebraic Language of Dynamics by (Sami ullah). In this article you will get to know about the maths of cause and effect. How does maths tells us about the relationship of cause and effect. Since childhood I was curious about almost everything. When I reached class 6 there I studied about basic algebra. There I learnt that algebra is about x,y finding the value of x and all that stuff. I studied about linear algebra, I studied that there are coefficient variable and constant in an equation. But I couldn't get  them at that time. I was like everything has a use, nothing is useless so what is the use of algebra in real world scenario. With the passage of time I got to know many new things I also got to know that mathematics is all about the logic and patterns of the nature. This amazed me that how so?  So as I was curious about algebra and equations etc. I started thinking about it that what these things have to do with nature or how we can express...

Maclaurin series

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  You have learnt about Maclaurin series in your school but sometimes it's difficult to understand the topic so my purpose of writing on Maclaurin series is to make it easy for you. After reading this article you will have clear picture of this topic in your mind. Maclaurin series   Definition Maclaurin series is defined as the expansion of power series. A function f(X) such that  f(0) is defined and all the derivatives of f(X) is defined at X=0 is the maclaurin series of that function. OR A function that has expansion series that gives the sum of derivatives of that function. Formula:- That's what you have learnt in school but now I am gonna explain this in simple words. In simple words It provides the general formula of any function independent of a fixed point by finding the coefficients of the function using differentiation. For example:- Maclaurin series of e^x   If we see th graph of e^x and after expanding this function by Maclaurin series we get a series...