Tuesday, May 22, 2018

May 22, 2018 Tuesday

Bedtime Story 


Note G of Ada Lovelace - Part 14 (Termination) 


Tonight we shall continue with the Note G of Ada Lovelace and perhaps terminate it as well.

This will bring us to an end of a very comprehensive coverage of all the Notes written by her as an adjunct to the scientific essay of Luigi Menabrea of Turin.

“It is desirable in all calculations so to arrange the processes, that the offices performed by the Variables may be as uniform and fixed as possible.

Supposing that it was desired not only to tabulate B1, B3, etc, but A0, A1, etc; we have only then to appoint another series of Variables V41, V42, etc and for receiving these latter results as they are successively produced upon V11.

Or again, we may, instead of this, or in addition to this second series of results, wish to tabulate the value of each successive total term of the series (8), viz. A0, A1B1, A3B3 etc.

We have them merely to multiply each B with each corresponding A as produced, and to place these successive products on Result-columns appointed for the purpose.

The formula (8) is interesting in another point of view.

It is one particular case of the general Integral of the following Equation of Mixed Differences:-

\frac{d^2}{dx^2}\left(z_{n+1}x^{2n+2}\right)=(2n+1)(2n+2)z^nx^{2n} 

for certain special suppositions respecting z, x and n. 

The general integral itself is of the form,

z_n=f(n)\cdot x+f_1(n)+f_2(n)\cdot x^{-1}+f_3(n)\cdot x^{-3}+\cdots 

and it is worthy of remark, that the engine might (in a manner more or less similar to the preceding) calculate the value of this formula upon most other hypotheses for the functions in the integral with as much, or (in many cases) with more ease than it can formula (8).”

With this we have covered all the Notes of Ada Lovelace, letter-by-letter and equation-by-equation.

Now you may not recall but I had committed to you that after covering the Notes, I would review them more broadly and generally in a much simpler or rather modern English to get a better perspective of the contents of these Notes.

Before that, I would like to pose to you certain question: What do you think happened to the work of Ada Lovelace or for that matter, even Charles Babbage?

Well, both their works and this strange couple were largely forgotten, nearly-totally wiped out from the consciousness of average Briton.

Lady Ada had died very early in 1852 when she was just 36 while Babbage lived longer till 1871, but both failed to see any meaningful development in then very nascent field of computer science when the word “computer” itself was barely in use or used with quite a different meaning.

In fact, as late as 1952, the word computer usually represented a human computer and this generally referred to, at least in north America, to lady assistants who would carry out calculations mechanically without perhaps precisely knowing for what purpose their computed data would be used for.

Stay tuned to the voice of an average story storytelling chimpanzee or login at http://panarrans.blogspot.com
                              
Good night Mon Ami and my fellow cousin ape.
                           
  
                

             












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Another great educator and a teacher that I am aware of is Professor Subhashish Chattopadhyay in Bangalore, India.

While I narrate stories, Professor Subhashish an electronic engineer and a former professor at BARC, does and teaches real mathematics and physics.

He started the participation of Indian students at the International Physics Olympiad.

Do visit him here:


All his books can be downloaded for free through this link:


For edutainment and English education of your children, I recommend this large collection of Halloween Songs for Kids:



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