Recent content by ssj5harsh

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    Electric fields are not always superposable

    Thank you I have the Resnick,Halliday and Krane. Fifth Edition (Eastern economy edition). The name is Fundamentals of Physics.(Vol 2) The statement is given in chapter 25 and chapter 26. The book does not provide any more information. After the statement, it simply states that the principle of...
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    Electric fields are not always superposable

    "Electric fields are not always superposable" In my Physics textbook by Resnick, Halliday and Krane (Wiley publications), it is mentioned that (pg. 575), " the principle of superposition of electric fields is not at all obvious and may fail in the case of very strong electric forces." Can...
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    Pairs of primes separated by a single number are called prime pairs

    Hmm.. I realized something, the sum of the two twin primes is always divisible by 12. Not unexpected, but fascinating nevertheless.
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    What's the biggest number you can create with three 3's?

    I see you fell for it a) The answer is 9^(9^9). b) The answer is 3^33. You should see that this is greater than 3^(3^3), which is 3^27. That was the trick. As far as I know 3/(3-3) is not defined as 3/0 is not defined, since the left hand and right hand limits are not equal.
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    What's the biggest number you can create with three 3's?

    I know this is old, but let's see how many fall for it here. a) What is the largest number you can make using three 9's? b) What is the largest number you can make using three 3's? Operations allowed are addition, subtaction, multiplication, division and exponentiation.
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    Pairs of primes separated by a single number are called prime pairs

    I solved it this way. The solution should have something to do with number 6. Nos. can only be of the form: 6k, 6k+1, 6k+2, 6k+3, 6k+4, 6k+5 (k is an integer) Out of these the only types which can be primes are 6k+1 and 6k+5 (ie 6(k+1)-1). Evidently two twin primes will be of the form...
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    How Do You Calculate the Equation of an Hourglass Curve?

    I need to find the equation of the curve of an hourglass. Known: diameter, height. Time taken for the sand to be completely emptied is 1 minute. I would like it if someone would tell me where or how to start. I can't think of anything. Thanks in advance.
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    How can I solve logarithms with multiple solutions in the complex plane?

    Let me prove this. Its quite simple. \log_{b}a=x \Leftrightarrow a=b^x Now, if a is negative, this implies b^x is negative. We can take some examples and see that, 10^2 = 100 10^1 = 10 10^0 = 1 10^{(-1)} = 0.1 10^{(-2)} = 0.01 10^{(-3)} = 0.001 10^{(-1000)} = 0.0000...1 Thus you...
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    Covering the 62 Squares with Dominoes

    Here's another solution, very similar, yet using the pigeonhole principle.(I'm not sure that it does though) Its taken from here: http://www.cut-the-knot.org/do_you_know/pigeon.shtml
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    What materials make the best mirrors?

    Yes, this was what I intended to ask. Well, one correlation is that it is not simply lustre, but the greyish shiny colour that makes metals good reflectors. I, for one, haven't seen a white mirror and I doubt one can be made. As for the correlation, I see none(except for the colour). I would...
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    Finding Solutions for Simultaneous Equations with Transcendental Functions

    Thank you, VinnyCee. You didn't need to be so descriptive, but I was hoping to find the algabraical way of solving this problem. I don't have a TI-calculator, but I had earlier found the answer with this one: http://www.coolmath.com/graphit/index.html I also tried the Powertoy calculator...
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    Finding Solutions for Simultaneous Equations with Transcendental Functions

    I came across this question once somewhere and I can't seem to get anything: x^y = 9 , y^x = 8 Solve the simultaneous equations. Expressing x = 9^{1/y} and then substituting doesn't help much. I get an equation in one variable, but no direct answer. Again, taking log on both sides doesn't...
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    Where Will Your Honesty Lead You? An Inferno Test

    Level One I got a Level One-Limbo, and I think it fits with my ideals quite properly. I was indeed honest about most things. I answered the question about whether I hated my countrymen wrong. I do indeed hate quite a lot of my countrymen, but I answered in accordance with the spirit of the...
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    What materials make the best mirrors?

    I think I've already mentioned that. Have you seen an acrylic whiteboard. Its white, polished and one can see one's image in it, but it doesn't reflect colours properly. White is supposed to reflect all visible wavelengths of light.
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    What materials make the best mirrors?

    What is the difference between a mirror and a white surface?What I know is: 1. A mirror reflects light such that an image is formed. The angles of reflection and incidence are equal. It reflects all wavelengths of light. 2. A white surface reflects all visible wavelengths of light. It...
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