Wednesday, July 6, 2022

Constant e need not have trigonometric functions

Colin Maclaurin(17th century) came up with expressions of cosine and sine. The entire world is indebted to him.

Mathematicians during earlier era(17th century) wondered how to deal with square roots of negative number. The idea of complex number i were being explored. 

Now Euler was a brilliant mathematician who used the concept of cosine, sine and root of minus 1 and gave the world e to the power of i theta, an equation which is rated as the best equation so far by some internet communities. 

e to the power x of Euler, if expressed in sigma notation  starts from 0. Difficult to understand, isn't it?

I have a formula for e to the power x which starts from 1.

Here is it.


Many Englishmen will like the above expression of mine. Because the Euler formula which starts from zero utilizes the Colin Maclaurin cosine and sine series. And Colin Maclaurin is an Englishman and Euler is Swiss and Russian.

I do not want to create war like situation by commenting on Colin Maclaurin and Euler. Euler, my intuition says was a very nice gentleman. And Colin Maclaurin was from England, a country that ruled over India. My aim of this write-up is just to educate the readers how a small thing like 0,1 or i can make a hell of a difference. My aim is also to elucidate the beauty that lies in mathematics.

So, my e to the power of x formula has some value. I hope you liked it and like this blog post.

Have a nice day !!

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