Recent content by alexcc17

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    Find all values complex equation

    I got it thanks though
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    Find all values complex equation

    Homework Statement i.5 - i Homework Equations zc=ec log(z) z1/n=exp[(1/n) log(z)], n is in integer The Attempt at a Solution letting c=.5-i and z=i so zc=e(.5-i) log(i) = e.5 log(i)*e-i log(i) from the second equation I reduced it to: i.5*e-i log(i) but I'm not sure...
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    Find z for ez=1+i√3: Solution Explained

    Homework Statement Find all values of z such that ez=1+i√3Homework Equations The Attempt at a Solution I have no idea how to do this. I was going to start with ez=exeiy and try to figure something out from that, but I'm not seeing anything. I checked the solution shown below, but I'm really...
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    Determine the interior, the boundary and the closure of the set

    The boundary is {z ε: Re(z^2)=1} and there is no closure since it's an open set?
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    Determine the interior, the boundary and the closure of the set

    Would the interior be: {z ε: Re(z^2)>1} so the set itself, since the boundary is what it approaches and isn't actually part of the set.
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    Determine the interior, the boundary and the closure of the set

    Like this?
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    Determine the interior, the boundary and the closure of the set

    So you mean every point on that hyperbola excluding where each axis is 1,-1?
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    Determine the interior, the boundary and the closure of the set

    The set is given {z ε: Re(z^2)>1} so x^2 -y^2=52 or anything larger than 1 which is still a hyperbola.
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    Determine the interior, the boundary and the closure of the set

    Homework Statement Determine the interior, the boundary and the closure of the set {z ε: Re(z2>1} Is the interior of the set path-connected? Homework Equations Re(z)=(z+z*)/2 The Attempt at a Solution Alright so z2=(x+iy)(x+iy)=x2+2ixy-y2 so Re(x2+2ixy-y2)= x2-y2 >1 So would...
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    Find P_300 Given P_299: Initial State Vector Homework

    Wasn't sure if that applied to matrices. Thanks
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    Find P_300 Given P_299: Initial State Vector Homework

    Would it just be p_299*T to get p_300?
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    Find P_300 Given P_299: Initial State Vector Homework

    Homework Statement Suppose that the initial vector P0 is not given and instead we are given that at time t=299 the state vector is P_299=[.1 .1 .8]. Than find P_300, the state vector at time t=300 Homework Equations I also know from the problem it is referencing that the transition...
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    Solving Transition Matrix Homework Statement

    It does. Thanks
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    Solving Transition Matrix Homework Statement

    Ok, I think I have it. The transition matrix should be: [.3 .7] [.4 .6] Right?
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    Solving Transition Matrix Homework Statement

    Homework Statement The problem is in the attachment, but I'll try and rewrite it... Suppose for a Markov Chain with two states, we get the following results. 1. If P0=[0 1] then P1=[.4 .6] 2. If P0=[4/11 7/11] then P0=P1=P2=...and so on. With this information, find the transition...