Monday, August 17, 2020

Tea, coffee and tobacco

 In India the popular teas are Assam, Nilgiris and Darjeeling. When buying tea one must read the packet and understand the tea that a consumer is buying.

Assam tea is great for mornings. There is nothing better than a cup of Assam tea the first thing in the morning.  I add sugar and milk to my tea.

Nilgiris tea is great for afternoons. 3 to 430 pm. I have not had Nilgiris tea for ages. But I distinctly remember the flavour. In south, tea is prepared in a different way than in North. In shops. Possibly Nilgiris tea is best enjoyed when tea is prepared like in shops in south.

Darjeeling tea is great for evenings. 7 to 830 pm. But I do not want to write on how to prepare darjeeling tea. Five star chef help may be needed. Darjeeling tea is that good and that great.

I don't have much idea on coffe. I am talking of filter coffee and not instant coffee. I like 75% peaberry and 25% chicory variety. One needs a coffee decotion making utensil in home. 

Currently I have Surti tobacco. The taste is okay and this tobacco is flavourless. It is called khaini. Otherwise if one goes to Delhi only flavoured khaini is available. The flavoured branded khaini is not half as good as this unflavoured Surti tobacco.

My good wishes to all of my blog readers. What do you have to keep your mood kicking?


Monday, August 10, 2020

An equation for Gauss's constant G

 



I did some manipulations because we were dealing with Heegner number 163. I am putting two screenshots which give Gauss's constant G to 10 places.


I agree there is not much here. But for one thing. A somewhat repeated decimals. Hence 2526679/2499750.
However, I still maintain that there is a huge scope in this. And tremendous amount of learning with pi, e and G all together. Possibly going in different phases. Tough to put in one equation !!
Indians need to decide. The beauty of constants and nature in one hand !! And mathematical olympiads and problem solving on the other !!
I prefer the former. But alas most prefer the latter !!

Sunday, August 9, 2020

Expression of pi

I saw the expression of pi in an YouTube video by Presh Talwalkar ("MindYourDecisions").

The expression was 0.5!=root of pi by 2.

I saw the video yesterday and it kept my thinking going on. 

I tried to understand the concept. The concepts are of Gauss, beta and Gamma functions.

I kept learning and progressed ahead. 

Finally now I made another expression of pi.

It is (8/3)*(0.5!)*(1.5!)  = pi.

(No. I have not worked around with the earlier results to get this. I was following my own logic.). Here is the proof.


Try it out in your calculator.

My best wishes to all my blog post readers.