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Questions and Answers
Which one of the following is a necessary and sufficient condition for a complex variable function $f(z)$ to be analytic?
Which one of the following is a necessary and sufficient condition for a complex variable function $f(z)$ to be analytic?
- $f(z)$ has a harmonic conjugate
- $f(z)$ is continuous
- $f(z)$ has a limit at every point
- $f(z)$ satisfies the Cauchy-Riemann equations in Cartesian coordinates (correct)
Which method can be used to determine an analytic function $f(z)$ when the real part $u$, imaginary part $v$, or their combination is given?
Which method can be used to determine an analytic function $f(z)$ when the real part $u$, imaginary part $v$, or their combination is given?
- Cauchy-Riemann method
- Milne-Thomson method (correct)
- Orthogonal method
- Harmonic method
What is the relationship between a harmonic function and its harmonic conjugate?
What is the relationship between a harmonic function and its harmonic conjugate?
- They are orthogonal trajectories
- They have the same real part (correct)
- They have the same imaginary part
- They are analytic functions
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