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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:
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| 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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