Recent content by Forco

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    Decay of a particle of mass M into two particles

    Homework Statement A particle of mass M and 4-moment P decays into two particles of masses m1 and m2 1) Find the total energy of each particle (lab frame). 2) Show that the kinetic energy T1 of the first particle in the same reference frame is given by $$T_1= \Delta M (1 - \frac{m_1}{M} -...
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    Celsius to Kelvin conversion problem (Kinetic theory)

    That would make the other temperature zero. Understood! Thank you very much.
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    Celsius to Kelvin conversion problem (Kinetic theory)

    Homework Statement Find the temperature T that allows the rms speed of a gas to be equal to another gas with T=47°C. The molecular mass of the first gas is 64, and the molecular mass of the second gas is 32. Homework Equations v_{rms}= \sqrt{\frac{3RT}{M}} The Attempt at a Solution The...
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    Prove that three functions form a dual basis

    Yeah, but how do I go on about solving the system with no numbers? That is my main problem... Also, why is the matrix being regular relevant? Doesn't that just mean that there is a number n such that the entries of A^n are all positive? Also, the anti dual basis would be the basis for which B^*...
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    Prove that three functions form a dual basis

    Yeah, probably got confused with the different sub indices and I'm relatively new to latex, so yeah, sorry. But you said the matrix is correct, so... That is the dual space of E, a basis can be easily constructed from n linearly independent functions, in this case, three. And is it a...
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    Prove that three functions form a dual basis

    Homework Statement Homework Equations[/B] The Attempt at a Solution From that point, I don't know what to do. How do I prove linear independence if I have no numerical values? Thank you.
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