To avoid confusion

Google blog readers may be confused as to what I mean to say from the Wolfram Alpha screenshots that I have been pasting in my blog posts.

This is what I mean to say. This is the final statement.

Have a nice day !!

These expressions are pretty good

The following expressions are pretty good. They are symmetric.  However,  one is coshx while the other is cosx.

Hope you like them.

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Hypergeometric distribution pattern observed again

One of the key ideas on blogging is to spread knowledge on mathematics to deserving young minds. 

Another pattern of importance was discovered yesterday.

And in this blog post I am sharing with my blog readers. It is of sigma 1 to infinity of n(n+1) divided by (mn)!. 

The results show interesting hypergeometric distribution. 

Hope you like the pattern and the expressions. 

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Does it encompass all?

Did Gauss saw it all? His advocacy of Complex functions.  Basically functions having complex arguments. 

I have the above book. But I feel one needs to understand German language to get into the groove and understand the nuances. Indian English will not be enough to get into the book. Because Riemann is very particular.  Very methodical. Very demanding. Very specific.  In the book.

Abel disagreed. And said that Quintic equations cannot be solved. The world says Abel is correct. Gauss rejected his work. 

I don't know how numbers are treated in far east. In Israel. In America. Forget Europe. 

Hume kya lena hai duniya waalon se? Roti milthi rahe. Bas itna sa khaab hai.

 Good bye. Have a nice day!!

Plus and Minus

 My expressions

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Being human

Being human is being oneself.  Myself.  Shiva is above us. Jesus is around us. But being myself is the way and the way the world understands. 

The number m, the e formula,  the cos and sine. The way I see them.

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These four screenshots

 I present the following four screenshots.

Hope you like them.

And these too.

Hope you like these too.

Also I would like to remind you of the following two formulas

The expressions above are great for finding the difference in differential of cos(x) and for finding the definite integral for a range of sin(x).

Have a nice day !!