Recent content by viviane363

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    Euler's Phi function Number Theory

    I have a question about this same problem. The prime factors of d are 1 and d. So since D is the only distinct prime factor of a and b, this means phi(n)=n*(1-1/d) right? But then, How do I go from here?
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    How to Solve a Modular Arithmetic Equation

    Homework Statement compute 59x +15 \equiv 6 mod 811 Homework Equations The Attempt at a Solution 59x \equiv -9 mod 811 I really don't know hoow to do from here.
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    Trying to find an isometry T(X)=MX

    Hi, I have a question: I am trying to find an isometry such that T(aU+bV)≠aT(U)+bT(V). I have tried so many possibilities. I gave T(X)=MX given that M is a matrix that doesn't have an inverse. But i still can't find a nice matrix that will make the proposition possible. Help please
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    Composition of Linear Transformation and Matrix Multiplication

    Isometry Hi, I have a question: I am trying to find an isometry such that T(aU+bV)≠aT(U)+bT(V). I have tried so many possibilities. I gave T(X)=MX given that M is a matrix that doesn't have an inverse. But i still can't find a nice matrix that will make the proposition possible. Help please
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    Exploring Solvability of Congruence Equations in Cryptology

    Homework Statement Let n be a positive integer. Consider the congruence equation 59x + 15 congruent to 6 mod n For this equation, a solution x exits. Why? Homework Equations The Attempt at a Solution there is a k such that (59x +15) - 6 = kn (59x +15) - kn = 6 59x - kn = 6 - 15 59x - kn =...
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    Solving a Coin Tossing Problem with Probability

    I am a bit lost, and I am not too sure what I missed. For sure the sum of the probabilities has to be 1, but I can't figure out what I did wrong. Can you give me another hint?
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    Solving a Coin Tossing Problem with Probability

    Here is what I am thinking: P(H) = P(H|A) P(A) + P(H|B) P(B) + P(H|C) P(C) =(1).(1/8)+(0).(1/16)+(1/2).(1/4) =(1/8)+(1/8) =2/8 Is it?
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    Solving a Coin Tossing Problem with Probability

    Hi, I have this problem here that I am trying to solve: A box contains three coins with a head on each side, four coins with a tail on each side, and two fair coins. If one of these nine coins is selected at random and tossed once, what is the probability that a head will be obtained? Here...
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    N-carriers, number density, energy gap E_g, temperature

    does that mean that ((m_n*m_p)/me^2) = (0.31)^2 since we know that m_n & m_p are almost equal to each other?
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    Fermi Energy of 40P 50N Nucleus Sphere

    Homework Statement I am wondering about something: Calculate the Fermi energy for the neutrons confined to a nucleus with 40 protons and 50 neutrons which roughly forms a sphere of radius 4.6 10^(-15) m. Homework Equations the formula of the fermi Energy is EF=...
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    What Temperature Gives a 25% Population Probability at 7.00 eV in Copper?

    Homework Statement Pleas can you help me figure out what I do wrong? At what temperature is the probability that an energy state at 7.00 eV will be populated equal to 25 percent for copper (EF = 6.95 eV)? Homework Equations The formula for the fermi-Dirac Distribution is f(E) =...
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    Calculating Fermi Energy for Neutrons Confined to a Nucleus

    I am wondering about something: Calculate the Fermi energy for the neutrons confined to a nucleus with 40 protons and 50 neutrons which roughly forms a sphere of radius 4.6 10^(-15) m. the formula of the fermi Energy is EF= ((h-bar)^2*(3*pi^2*n)^(2/3))/2m m:mass of electron, n = number...
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    What Temperature Yields a 25% Population Probability at 7.00 eV in Copper?

    Pleas can you help me figure out what I do wrong? At what temperature is the probability that an energy state at 7.00 eV will be populated equal to 25 percent for copper (EF = 6.95 eV)? The formula for the fermi-Dirac Distribution is f(E) = 1/(1+e^((E-EF)/kT)) and looking at the problem I...
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    Critical temperature of a superconductor

    Thank you very much
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    Critical temperature of a superconductor

    i pose TC1*square root(M1)= a = TC2*square root(M2) oh! i might have made a mistake of rearranging and solving.now i got 8.868 K
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