March 28, 2018 Wednesday
Bedtime Story
Note G of Ada Lovelace - 6
We are continuing tonight with Note G of
Ada Lovelace.
“If that distance be = d, then
It is with the independent formula (8.) that we have to do.
Therefore it must be remembered that the
conditions for the value of n are now modified, and that n is a perfectly
arbitrary whole number.
This circumstance, combined with the fact
(which we may easily perceive) that whatever n is, every term of (8.) after the
(n+1)th is = 0, and that the (n+1)th term itself is always 
, enables us to find the value (either
numerical or algebraical) of any nth Number of Bernoulli B2n+1, in
terms of all the preceding ones, if we but know the values of B1, B3…B2n-3 .
, enables us to find the value (either
numerical or algebraical) of any nth Number of Bernoulli B2n+1, in
terms of all the preceding ones, if we but know the values of B1, B3…B2n-3 .
We append to this Note a Diagram and a
Table, containing the details of the computation for B7 (B1, B3, B5 being
supposed given).
 |
| The diagram of the computation of the Numbers of Bernoulli is very large and intricate, and cannot be displayed as an in-line image in this document. If reduced to fit on a typical computer screen, the text in the diagram is illegible. The diagram is available at two different resolutions; the following links will display the version you select in a separate browser window (assuming your browser provides this feature), which will permit you to refer to the diagram, scrolling as necessary, while reading the following text. If you have a PostScript printer, you can download a ready-to-printPostScript file (in a ZIPped archive), which prints the diagram on a single page of paper. View diagram in new browser window:
|
The diagram of the computation of the
Numbers of Bernoulli is very large and intricate, and cannot be displayed as an
in-line image but would be better visualized and accessed through this link
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.
Advertisements
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:
No comments:
Post a Comment