- #1
phiby
- 75
- 0
I am a mechanical engineer who hasn't done any mechanical engineering for close to 20 years & hence forgotten all Mechanical Engineering & all Engineering Mathematics.
I need to revise on some Engineering Math now - Calculus, Laplace Transforms etc. I have been doing it for a couple of days.
I am getting stuck in a discussion of Complex Variables & Complex functions in Laplace Transforms.
G(s) = 1/(s+1)
We are trying to check if this satisfies Cachy-Reimann & hence analytic.
This is how the analysis goes in the notes I am referring to
G(σ + jω) = 1/(σ + jω + 1) = Gx + jGy ---------- (1)
From this, the next line says
"where
Gx = (σ + 1)/ ( (σ + 1)2 + ω2)
Gy = (-ω)/( (σ + 1)2 + ω2)
"
I don't see how you get Gx & Gy from (1)
Can someone help?
If this is based on some other Math stuff which I need to study before getting here, do let me know.
I need to revise on some Engineering Math now - Calculus, Laplace Transforms etc. I have been doing it for a couple of days.
I am getting stuck in a discussion of Complex Variables & Complex functions in Laplace Transforms.
G(s) = 1/(s+1)
We are trying to check if this satisfies Cachy-Reimann & hence analytic.
This is how the analysis goes in the notes I am referring to
G(σ + jω) = 1/(σ + jω + 1) = Gx + jGy ---------- (1)
From this, the next line says
"where
Gx = (σ + 1)/ ( (σ + 1)2 + ω2)
Gy = (-ω)/( (σ + 1)2 + ω2)
"
I don't see how you get Gx & Gy from (1)
Can someone help?
If this is based on some other Math stuff which I need to study before getting here, do let me know.