Recent content by bessletama

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    Calculating Energy of Two Masses on a Spring

    Homework Statement Consider the following macroscopic oscillator: Two masses of equal mass are attached to a spring and oscillate with amplitude A at frequency v. Use classical physics to calculate the energy of the oscillator. Homework Equations The Attempt at a Solution This...
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    Graduate Is 11 a Prime in the Non-UFD Ring Z[sqrt{-5}]?

    I am trying to prove that 11 is a prime in \mathbb{Z}[\sqrt{-5}]. I noticed that \mathbb{Z}[\sqrt{-5}] is not a UFD so I cannot show that it is irreducible then conclude it is prime. I know that that an ideal is prime if and only if the quotient ring is a domain. I was wondering if it is...