Recent content by san_1420

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    Why does Euler's Formula work for finding the remainder of 2^999 modulo 100?

    Yes I have heard of it. It says that I can solve a series of modular equations provided moduli are prime to each other .The solution is unique to LCM of moduli. But how do I arrive at conclusion that 25 is possible candidate??
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    Why does Euler's Formula work for finding the remainder of 2^999 modulo 100?

    Thanks a lot matt Here's why I tried 25. While I took all the pain to evaluate remainders of powers of 2. A brainier guy suggested this. 2^999 = ((2^10)^99)*(2^9) Now 2^10 =1024 = -1 (mod 25) and 2^9=512=12 (mod 25) 2^299=-1*12=-12=13 (mod 25) Now he suggested this 13 (mod 25)...
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    Why does Euler's Formula work for finding the remainder of 2^999 modulo 100?

    I was trying to find last two digits of 2^999 I proceeded like this 2=2 (mod 100) 2^2=2*2=4(mod 100) 2^4=4*4=16 (mod 100) 2^8=16*16=256=56 (mod 100) 2^16=56*56=3136=36 (mod 100) 2^32=36*36=96 = -4 (mod 100) 2^64=-4*-4 =16 (mod 100) 2^128=16*16=56 (mod 100) 2^256=56*56=36 (mod 100)...
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    Turning a ball inside out without dissecting

    That explains it .Thanks
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    Solving the Blackbody Problem for Main Sequence Stars

    Sure that's possible 4 H fuse to form 4He2 . through Carbon Nitrigen Oxygen cycle Well I can't remeber whole thing but you can find it in any textbook. Also a minimum temperature is required at core for this process ro take place But surface temperature would be much lesser
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    Turning a ball inside out without dissecting

    Thank you all for contributing. I guess I will have to go back to good old textbook on Topology. Example with the string was real eye opener. But that leads to another question in a 2- D world ,would we able to cheat with the string as before
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    Turning a ball inside out without dissecting

    Is it true that Newton proved that it is possible to turn a ball inside out without dissecting it using calculus.
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    Differentials - I'm HOPELESSLY Confused. PLEASE Help. PLEASE

    Thank you yes sure you are right. Thanks for pointing that out. But then when I am forming differential equations for a physical model why do I always use these quantities as small changes say small area between spheres dA=4*pi*r^2*dr
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    Differentials - I'm HOPELESSLY Confused. PLEASE Help. PLEASE

    I hope this helps Quantities such as dx,dy etc are called differentials. They signify a small(infinitesimal) change in corresponding quantities x,y It is true that dy/dx is not exactly a ratio but often we treat them as ratios for example when solving differential equations. A formal...
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