Recent content by pseudogenius

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    Career Research Project: Physics and Questions for a Physicist

    fasterthanjoao, I have been specifically asked to survey working physicists with the following questions. The three options I have been given to do this is to interview in person,over the phone, or through email. Since I have not been able to get anybody in person or over the phone, I was hoping...
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    Career Research Project: Physics and Questions for a Physicist

    Hello, I am a student at Canyon High School and have been assigned to research a career in a science field. I am very interested in physics, so I am looking for any physicist who has some time to answer the following questions. I must also ask that you please send your answers to my email...
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    Evaluating Logarithmic Integral with Cosine and Sine Integrals

    I was trying to evaluate this integral, \int\frac{dx}{\ln x} I substituted x=e^{i\theta} and I get, \int\frac{e^{i\theta}}{\theta}d\theta which is, \int\frac{\cos \theta}{\theta}+i\frac{\sin \theta}{\theta} \ d\theta \int\frac{\cos \theta}{\theta} \ d\theta+i\int\frac{\sin...
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    Evaluate Limit with Factorials: \lim_{n \to \infty}

    Anyone know of any method to evaluate this limit, \lim_{n \to \infty} \frac{n!}{\left(\frac{n+p}{2}\right)!\left(\frac{n-p}{2}\right)!}2^{-n} it seems to go to zero, but I have no way to be sure.
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    What Is the Minor Value of n in the Newton Binomial Problem?

    I don't know but try this: \left(\frac{\sqrt{3}}{2}+\frac{1}{2}i\right)^{n}= p \frac{\sqrt{3}}{2}+\frac{1}{2}i= p^{\frac{1}{n}} \sqrt{3}+i= 2p^{\frac{1}{n}} \left(\sqrt{3}+i\right)^{n}= 2^{n}p 2^{n} times a positive real number is a positive real number, so find a positive real...
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    Convert Numbers to Rational Bases: An Example

    Thank you CRGreathouse, Onward to irrational and complex bases!
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    Convert Numbers to Rational Bases: An Example

    I have been playing around with numbers in different bases and then I thought, what if they were in fractional bases. I found a way to convert numbers to fractional bases and have been searching on the internet and not found a similar way to do this. Anyway, here is an example of how I would do...
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