Questions

Consider the map $\phi(z):= \tanh(\frac{\pi}{4}z)$, which is a conformal bijection from the strip $\{z\in\mathbb{C} ; |\text{Im} (z)|<1\}$ to the unit disc $\{z\in\mathbb{C} ; |z|<1\}$. Prove th...

I have a function $\varphi \in L^2(\mathbb{R})$ such that $\text{supp}(\widehat{\varphi})\subset [0,1]$ and a $2\pi$-periodic Fourier series $R(x):=\sum_{k\in \mathbb{Z}} a_k e^{ikx}$ (of some continu...

Find harmonic function in cartesian coordinates u(x,y) which satisfies in polar coordinates the next condition: u(rcos(0),rsin(0))=u(rcos(pi/4),rsin(pi/4))=agiven that:u(x0,y0)=2a for 0<y0<x0

Searcing for solution to part c) (pieri s rule is attached last,where the sum is taken over all λ obtained from ν by removing one box )

1. Let f(x,y) = 3$x^{2} $ -10xy+3$y^{2} $ on the region [0,4] x [0,4]; evaluate the double integral 2. Change the region to 0 < x < 3 and 0 < y < $\sqrt{9-x^2}$ ; evaluate the double integ...

Hey, lets say I have an orthogonal projection matrix $M(n)$ which is n x n so it depends on the number of observations $n$. Lets say I am projecting some vector $z(n)$, a n x 1 vector,  on this space....

Hi,  Can I add these 2 percentages together?  Let's say the scrap loss of 1 part is 2% over 150 transactions and the scrap loss of an assembly that the scrap loss part goes into is 4 percent o 137 tra...

This question is from a high school level Canadian secondary 4 text book. I added the question as an attachment. Please show and name all of the steps clearly written. Please use high school level mat...

I'm a CS Ph.D. student wishing to improve my math skills by solving problems relevant to my research. I started this derivation of student-t posterior predictive some time ago and I keep getting stuck...

This question is from a high school level Canadian secondary 4 text book. I added the question as an attachment. Please show and name all of the steps clearly written. 

This question is from a high school level Canadian secondary 4 text book. I added the question as an attachment. Please show and name all of the steps clearly written. 

This question is from a high school level Canadian secondary 4 text book. I added the question as an attachment. Please show and name all of the steps clearly written. 

This question is from a high school level Canadian secondary 4 text book. I added the question as an attachment. Please show and name all of the steps clearly written. Thank you! 

This question is from a high school level Canadian secondary 4 text book.  Apparently you need to use perpendicular and parallel lines to find the slopes and then equations of the line.  I added the q...

Hey all! I'm working on some sports analytics and would love some help from those familiar with probability models.I have a player with a 77.84% probability of achieving 24.5 yards in a game. I'm tryi...

Dear community,I would like to analyze how the following function changes, when variables A,B, or C are not zero:$f(A,B,C) = \frac{Q(1+X)(PA-VB)-FC}{GX}-\frac{A(1+X)(QP(X+A+AX)-QV(X+B+BX)-FC)}{GX(X+A+...

Base assumptions:- There is a video game where you can bring one item with you into an "expedition".- There are a total of 20 items you can choose from.- 1 Expedition lasts a maximum of 4 minutes.- Th...

My mother was born in 1952. I was born in 1973. When my mother turns 73, I will be 52. My father was born in 1949. When my father turned 73, I was 49. Is this pattern unique or coincidence? I can’t un...

What is f(x)? I've gotten so many different answers , let's say f(x)=x²+15x+50, now I was told before that that means we have a function called f, when we inputted x into it f squared it then added 15...

How many prime numbers less or equal to n? The largest n I have now is n=10^25. Thought someone may know existing value bigger than what I know.

Count the number of $m \times n$ (where $m \leq n$) matrices over the finite field $\mathbb{F}_q$ with rank $i$ and all zeros in the main diagonal. I think it might be simple, but there may be some te...

1. 2. Can someone help with these two, the answers i solved, i dont know if it is correct. Thank you

Given System of linear differential equations with constant coefficient: The matrix coefficient : And also given that the vector : Is a solution to the system.1.Show that x1(t),x2(t),...,xn(t) are dif...

Responding to your $150 offer. Since I need to show my work, would it be possible for you to finish everything before the 2 hours and send me the work so I can copy it? I attached the rest of the ques...

Note: I have the answers for a+c I am looking for b+d only.a) is c) isfor d) it has to be calculated using this theorem to get the aymptotic distribution.This is what the expected final answer should...