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The sometimes 'Beauty' of mathematics???

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RJSV:
First year, college CALCULUS:
   That instructor...Well, he had done some 'colorfull' career stuff previous (to teaching). Yeah, he was a PRO race-car driver, in national competition.
Had an usual zest for living, and a very dynamic speaking style, presenting thinking theory behind the Calculus. The 'Infinitesimal' : what it is, and why use
it ?
   Anyway, oh and one other thing: The professional
racing had cost him a LEG so there was that. Us students never asked about that, directly.
===========================================

   After writing lots of CODE and using binary / hex number notations, I have noticed some coincidences in the number translations.
For example decimal '64' is a kind of top end, when counting using 6 bits, and if you reverse, to 64hex, that translates to decimal '100'.

For quick 'Rule of Thumb', I use a casual rule of tens;
Meaning that with 10 bits, you have 1k.
With 20 bits: you get 1 Meg,
With 30 bits, you've got 1 giga (roughly).
   Makes for quick estimating.

tggzzz:

--- Quote from: RJHayward on August 06, 2021, 05:06:56 am ---First year, college CALCULUS:

--- End quote ---

Everybody at my state school did calculus[1] for external exams at 16yo. Great fun.

[1] differentiation and integration of polynomials except 1/x

Ed.Kloonk:

GlennSprigg:
O.P. here...    MY simplistic 'brain', at the current moment anyway...), tried to solve this by Reverse thinking!!!
Or at least from a totally different 'Angle'... (excuse the pun, but NOT actually a 'pun')   8)

Consider a perfect circle. Ok, the calculation of it's 'circumference' is OBVIOUSLY  C = 2 Pi r.
Now rotate that circle 90-deg until it 'appears' as a straight line!!  Now the APPARENT (from the viewers perspective!), is just 2 x D   :phew:
So to ME!, all the 'InBetween' apparent 'Circumferences, from one's view point!, while observing such an apparent Circumference, MUST
simply be not only between those 2 above limits, but MUST be directly related mathematically as a result of that specific angle we are viewing
it from?   'One' needs to let go of thoughts about a 'physical' Ellipse per-se, and one that is 'apparent' from the angle we are viewing it!?

Surely then, the actual 'Maths' is simple!!  Without those complex theorems/styles being applied?, or 'trying' to apply them  ??   :-+

RJSV:
But but but... Hey folks, don't keep me in suspense:
   Increase circumference by 1 meter:
   π X D = C
Then what is C + 1 ?
   (π X D) + 1 = C + 1
Solve for new D value, (don't have immediate clue)...

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