May 10, 2018 Thursday
Bedtime Story
Note E of Ada Lovelace - Part 1
Earlier I had reported to you that of all
the Notes of Ada Lovelace, only the Note E had been circumvented and this gives
us the perfect opportunity to cover all grounds and tackle the Note E.
After having dealt with Note E, we can
safely return to the Note G which itself is on the verge of finality.
Note E has considerable value in
comprehending the manner in which the Analytical Engine would operate in
computations involving variables.
The example used by Ada Lovelace to show
how the variables would be operated by the Engine is trigonometrical, probably
in deference to Menabrea’s picking similar function in his memoir.
“Note E
This example has evidently been chosen on
account of its brevity and simplicity, with a view merely to explain the manner
in which the engine would proceed in the case of an analytical calculation containing
variables, rather than to illustrate the extent of its powers to solve cases of
a difficult and complex nature.
The equations in first example in the
Memoir (which are
)
are in fact a more complicated problem than
the present one.
We have not subjoined any diagram of its
development for this new example, as we did for the former one, because this is
unnecessary after the full application already made of those diagrams to the
illustration of M. Menabrea’s excellent tables.
It may be remarked that a slight
discrepancy exists between the formulae
(a +bx1)
(A + B cos1
x)
given in the Memoir as the data for
calculation, and the results of the calculation as developed in the last
division of the table which accompanies it
To agree perfectly with this latter, the
data should have been given as
(ax0
+ bx1)
(A cos0
x + B cos1 x)
The following is a more complicated example
of the manner in which the engine would compute a trigonometrical function
containing variables.
To multiply
A + A1cosθ
+ A2cos2θ + A3cos3θ +…
By B +B1cosθ
Let the resulting products be represented
under the general form
C0 +C1cos θ + C2cos 2θ + C3cos
3θ +…
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