Recent content by EighthGrader

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    Any recommendations for a calculus and physics book for a beginner?

    Did you go through Spivak and Velleman at the same time? How much did Velleman help? And when you went through Spivak, did you answer all of the problems at the end of each chapter?
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    Is it too late for me to do math problem solving?

    Is university math the same flavor as IMO questions? I'm looking at these and boy are they hard! I've looked at questions from different years and I can only do 1 out of like the 10 or so questions I went through.
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    Is it possible to quantify human language?

    While listening on my english lecture, my teacher told us that authors usually have similar word choices and sentences structures on their writings. Because of that, I began to wonder if it is possible (if it hasn't been done already) to quantify the human language (if that's the right term...
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    Is it too late for me to do math problem solving?

    Hello, I am an incoming senior. I've normally been pretty good in classroom mathematics. However, only until recently have I been exposed to "competitive problem solving". I literally have not heard of the AMCs until my junior year, when my friend from another school told me about it. I became...
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    Number of zeros in factorial of a number

    Homework Statement This is not a homework problem. I was just wondering the logic and intuition behind the "formula" for finding the number of zeros given the factorial of a number. Homework Equations Formula : round(n/5) + round(n/25) + round(n/125)+...+round(n/5^n) Here, round...
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    Electric Field & Force: 3 Spheres on x-Axis

    Sorry for the noobish question, but why is \vec{F_{A,B}} taken to be negative, while \vec{F_{C,B}} is positive?
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    Self study Multivariable Calculus or Introduction to Proofs?

    I was thinking about that, but I heard LA deals with proofs and I don't know if I can handle that at this stage. I haven't been exposed to "proof-type" math yet so I was wondering maybe I can self study "Intro to Proofs". And I can't take classes at a local university/CC anymore because we...
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    Self study Multivariable Calculus or Introduction to Proofs?

    Hello. I was wondering if I should self study multivariable calculus or introduction to proofs? I am an entering high school senior (contrary to what my username might suggest), and I just took a Calc 2 class last spring. I can only do one or the other, and I don't know which one would be...
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    Cauchy-Schwarz -> AM-HM inequality

    Homework Statement Prove the AM-HM inequality using the Cauchy-Schwarz Inequality. Homework Equations Cauchy Schwarz Inequality: \[ \biggl(\sum_{i=1}^{n}a_{i}b_{i}\biggr)^{2}\le\biggl(\sum_{i=1}^{n}a_{i}^{2}\biggr)\biggl(\sum_{i=1}^{n}b_{i}^{2}\biggr)\ AM-HM inequality...
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