Time Invariant Signal: Help Me See Why My Solution is Wrong

AI Thread Summary
The discussion centers on the concept of time invariance in signals, specifically questioning why a proposed solution is deemed not time invariant. The example provided illustrates how the output y changes with different inputs x at various time shifts. The user is confused about the terms y_A and y_B, which are not clearly defined in the context. The key takeaway is that the sums of outputs can vary based on the input shifts, leading to the conclusion that the system is not time invariant. Understanding these principles is essential for grasping the underlying reasons for the solution's classification.
Huumah
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Can anyone help my to see why my solution is wrong because the in the solutions it says that it is not time invariant
 
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I don't understand what y_A and y_B are.

Simple example:
y(0)=x(-2)+x(2)
y(1)=x(-1)+x(1)
In general, those sums can be different.
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
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