Recent content by justin_huang

\frac{d}{dx}f(x)=\frac{d}{dx}[ \frac{1}{2}x_{}^{T}Qx-b_{}^{T}x] how to get this derivative, what is the answer? is there textbook describe it?

\frac{d}{dx}f(x)=\frac{d}{dx}[ \frac{1}{2}x_{}^{T}Qx-b_{}^{T}x] how to get this derivative, what is the answer? is there textbook describe it?

How can I use hadamard theorem to show that if F is entire and of growth order p that is non-integer, then F has infinitely many zeros...?

I try to use mellin transform and mellin inverse transform to evaluate the sum of some series, however when after I get the mellin inverse transform, It seems infinite pores cause the denominator is sin(pi*s), how can I deal with this situation? could you provide some textbook with example of...

I got it... thanks so much

cause i need to get the multiplication of two polynomial not division

Homework Statement f(z)=cot(pi*z)/(z^2+1) Homework Equations The Attempt at a Solution now I want to get the residue at z=i, I know the definition of f(z)'s residue form but when I try to get the expansion of cot(pi*z) at z=i, I used a lot of method like use sin*csc this form...

thanks so much

Homework Statement Let log z be the principal branch of the logarithm function defined −pi < arg z < pi the domain to define f(z)=loglog z?? Homework Equations The Attempt at a Solution I already know how to represent the arg z by arctanb/a+2pi*k how can I get arctan [Re (log...

how to relate the points these two set? could you please give me more detailed method?

If f : Rn -> R is Lebesgue measurable on Rn, prove that the function F : Rn * Rn -> R defined by F(x, y) = f(x - y) is Lebesgue measurable on Rn * Rn. how can I prove this question?

Homework Statement If f : Rn -> R is Lebesgue measurable on Rn, prove that the function F : Rn * Rn -> R defined by F(x, y) = f(x - y) is Lebesgue measurable on Rn * Rn. Homework Equations The Attempt at a Solution I am confused by the expression of F(x,y), it seems x-y is...