Recent content by hmph

  1. H

    Modulation Index Dilemma - DSB-LC AM Modulation

    Homework Statement A given DSB-LC AM transmitter develops an unmodulated power output of 1kW across a 50 ohm resistive load. When a sinusoidal test tone of 5V is applied to the input of the modulator, it is found that the spectral line for each sideband carrier in the magnitude spectrum is...
  2. H

    Proof of 2nd Derivative of a Sum of a Geometric Series

    it turns out that what i was doing was actually correct
  3. H

    Proof of 2nd Derivative of a Sum of a Geometric Series

    Homework Statement I am trying to prove how \(g''(r)=\sum\limits_{k=2}^\infty ak(k-1)r^{k-2}=0+0+2a+6ar+\cdots=\dfrac{2a}{(1-r)^3}=2a(1-r)^{-3}\). I don't know what I am doing wrong and am at my wits end. The Attempt at a Solution (The index of the summation is always k=2 to infinity)...
  4. H

    Set Theory Proof: Proving Identity (A U B) ∩ (B U C) ∩ (C U A)

    Thank you, it worked. I probably did it in a more convoluted manner than required, but I was able to do it in around 12 lines. I didn't realize that you could distribute like that at first.
  5. H

    Set Theory Proof: Proving Identity (A U B) ∩ (B U C) ∩ (C U A)

    Hi, I have been trying for a very long time to prove the following set theory identity (A union B) intersect (B union C) intersect (C union A) = (A intersect B) union (B intersect C) union (C intersect A). I thought that I could simplify (A U B) intersect (B U C) intersect (C U A) as [B U...
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