March 29, 2018 Thursday
Bedtime Story
Switching from Note G - 7 of Ada Lovelace to Note D - 1
We are continuing tonight with Note G of
Ada Lovelace.
“On attentively considering (8.), we shall
likewise perceive that we may derive from it the numerical value of every
Number of Bernoulli in succession, from the very beginning, ad infinitum, by
the following series of computations:-
1st Series - Let n = 1, and
calculate (8.) for this value of n.
The result is B1.
2nd Series - Let n =2
Calculate (8.) for this value of n,
substituting the value of B1 just obtained.
The result is B3.
3rd Series – Let n = 3
Calculate (8.) for this value of n,
substituting the value of b3 just obtained.
The result is B5.
And so on, to any extent.
The diagram (to whose link Pan narrans gave
before) represents the engine when just prepared for computing B2n-1 (in
the case of n=4); while the table beneath them represents a complete
simultaneous view of all the successive changes which these columns then
severally pass through in order to perform the computation.”
To understand the complicated table, Ada
Lovelace asks the readers to refer to Note D and hence we shall now shift to
Note D before returning to Note G and continuing from here.
“ Note D
We have represented the solution of these
two equations below, with every detail, in a diagram similar to those used in
Note B; but additional explanations are requisite, partly in order to make this
more complicated case perfectly clear, and partly for the comprehension of
certain indications and notations not used in the preceding diagrams.
Those who may wish to understand Note G
completely, are recommended to pay particular attention to the contents of the
present Note, or they will not otherwise comprehend the similar notation and
indications when applied to a much more complicated case.
 |
The link to the enlarged version of this
table is given below:
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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