Tag: binomial analysis
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Two beautiful theorems
Thm-2; In the above expansion the sum of odd coefficient is same as the sum of even coefficient. put x=-1, then from above; 1+∑even- coefficients = ∑odd-coefficients = 1/2(∑all-coefficients) =
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Moving clocks run faster in the Doppler hemisphere of approach
Moving clocks run faster in the Doppler hemisphere of approach, run slower in the Doppler hemisphere of recession and run slower in the Doppler plane of intersection of hemisphere of approach and recession. The GPS satelites eg are in constant free fall towards earth and located in the Doppler plane of intersection, they never approach…