Let f (x,y) be a complex valued function, taking in two real-valued inputs x and y. Then under what circumstances is the partial derivative of the complex conjugate of f with respect to x equal to …

The motivation behind understanding definition 1 is that Hamming uses it in the proof that analytic complex functions have zeros that are conjugate pairs if the function is real over the real domain.

Why do you multiply a complex number by its complex conjugate to get rid of it in a fraction? Ask Question Asked 14 years, 6 months ago Modified 7 years, 5 months ago

Conjugate of exponential imaginary number Ask Question Asked 13 years, 2 months ago Modified 11 years, 10 months ago

Does the complex conjugate of an integral equal the integral of the conjugate? Ask Question Asked 13 years, 1 month ago Modified 6 years ago

9 The complex conjugate of the polar form of a complex number is given by $$\overline {re^ {i\theta}}=re^ {-i\theta}.$$

Conjugate of quotient is quotient of conjugates Ask Question Asked 7 years, 2 months ago Modified 7 years, 2 months ago

Oct 6, 2017 · This complex "dot product" is sometimes called a Hermitian form. This specific separate term serves as a way to make it clear that it might not comply with the usual …

Dec 24, 2017 · In Appendix A, he writes that "in a vector space over the complex numbers the inner product of two general vectors is a complex number satisfying $\q {\psi} {\phi} = \q {\psi} …

Nov 6, 2016 · Integrate complex conjugate Ask Question Asked 12 years, 2 months ago Modified 8 years, 7 months ago