Gavran's latest activity
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GGavran replied to the thread High School Three Squares Problem.The equation ## C=A+B ## is actually Euler's formula $$ \arctan\frac12+\arctan\frac13=\frac\pi4 $$, and there are three more formulas of...
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GHere is another way but it’s just a variation of @coquelicot above in post #7 but the lengths are not obvious so they must be...
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GGavran reacted to chwala's post in the thread Prove that ## 4\tan^{-1}\left[\dfrac{1}{5}\right]- \tan^{-1}\left[\dfrac{1}{239}\right]= \dfrac{π}{4}## with
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a different line for ##\tan 4S## ##\tan (4S)= \tan (2S +2S) = \dfrac{\tan 2S + \tan 2S}{1 - \tan^2 (2S)}## ##\tan (2S) =... -
GGavran replied to the thread Prove that ## 4\tan^{-1}\left[\dfrac{1}{5}\right]- \tan^{-1}\left[\dfrac{1}{239}\right]= \dfrac{π}{4}##.There are four formulas of this kind. Euler's formula $$ \arctan\frac12+\arctan\frac13=\frac\pi4 $$ Hermann's formula $$...
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GGavran replied to the thread High School Three Squares Problem.Based on the previous posts, it can also be shown that A+B+C=D for the angles A, B, C, and D in the next picture. Or A+B+C+D=E for...
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GHere are some more solutions; In each case, the triangle constructed in green is similar to the triangle highlighted in brown which...
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GJust another approach:
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GGavran replied to the thread High School Three Squares Problem.
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GGavran replied to the thread Which material will stop magnetic attraction?.I think you are right, and the correct answer is d. A copper shield can be better than a steel shield against a high-frequency magnetic...
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GGavran reacted to kuruman's post in the thread Finding the acceleration of a block on an inclined plane with friction with
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In addition to @Steve4Physics's comments: 1. Please note that we prefer that you post your work in ##\LaTeX## which makes the equations... -
GGavran reacted to PeroK's post in the thread Graduate Expected numbers of cards of a last color remaining with
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Inspired by the posts by @Gavran we can show that for ##R## red balls and ##N## balls in total, the expected number of red balls at the... -
GGavran reacted to Dale's post in the thread Graduate Expected numbers of cards of a last color remaining with
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I also calculated it to be 1.515 using a different but related method. What the OP is asking for is modeled by the negative... -
GGavran reacted to bhobba's post in the thread High School Interesting paper on QM in Scientific American with
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Von Neumann's famous writing on this in his classic text on QM never really caught on (and when I first read it, it left me scratching... -
GGavran replied to the thread Graduate Expected numbers of cards of a last color remaining.## P(X=g) ## - probability that we have g green cards remaining ## P(X=b) ## - probability that we have b blue cards remaining ## P(X=r)...
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GHere is my solution;





