X is a covariance matrix of a gaussian vector R with a zero mean. Let Q=sign(R), that is Q_i=1 when R_i >=0 and Q_i=-1 when R_i < 0. Prove that E(Q_iQ_j)=(2/pi)(arcsin(X_i,j/(sqrt(X_i,i)sqrt(X_j,j))))?
We consider the Riemann metric: that is the functions g_{ij}(z_1,...,z_n) with a positive definite matrix g_{i,j} in the point space with arbitrary coordinates (z_1,z_2,...,z_n). Assume we make a...
07 August 2018 7,503 19 View
Prove that R=XZ, where X is a given non-singular matrix, Z is some orthogonal matrix and R is positive definite symmetric matrix.
04 May 2017 2,331 10 View
There is a convex program with the convex constraint: sup_{V \in \math{V}}Tr(QV)+\sum_{i=1}^{d}sup_{P_i \in \math{P_i}}Integral of max{p_i*Ksi_i^2+2q_i*Ksi_i+r_i, p_i' *Ksi_i^2 + 2q_i' *Ksi_i +..."> Question regarding the convex program? We use cookies to make interactions with our website easy and meaningful, to better understand the use of our services, and to tailor advertising. For further information, including about cookie settings, please read our Cookie Policy . By continuing to use this site, you consent to the use of cookies.
04 May 2017 4,551 5 View
There is a random vector x=(x_1,x_2,...,x_n) with a non-negative support. There is additional constraint Ax=b. Is it true that E(x*x^T) belongs to the set conv{yy^T
04 May 2017 4,561 8 View
Is it true that the sum of absolute values of non-diagonal elements of a line of a positive semidefinite symmetric matrix is less or equal to the sum of it's diagonal elements? Ideas are welcome,...
10 November 2016 5,185 12 View
Let x=(x_1,...,x_n)' and w=(w_1,...,w_n)' are two n-component random vectors. w is independent of x. x has a standard normal distribution (N(0,I_n)). Why the following equality is...
07 August 2016 5,984 8 View
Beginner level books. High level books. Analytical Number Theory. Algebraic Number Theory. Combinatorical Number Theory. Books about partitions. Books about primes.
03 March 2021 7,174 5 View
I have dataset which shows the length of power lines. I need to classify the lines based on the line length. Is there a rule to classify the High voltage (HV) and low voltage (LV) lines based on...
03 March 2021 4,116 4 View
Hello, I'm fairly new to ARENA and I have the following problem: I have two queues in which, in each queue, a different order type arrives (both having an arrival rate of exponential 10). Order...
02 March 2021 2,431 3 View
I personally feel this as a most confusing question. As per my understanding, if sample size is > 30, and sample is skewed, we can still use paramteric approach, as it will follow Z...
01 March 2021 1,587 6 View
How would define the "good" and "poor" distribution of particles within the matrix. Is there a quantitative solution to assess the distribution of the particles, which then having denotation of...
28 February 2021 7,397 8 View
I think we were all surprised at the first time we got to know quantum mechanics that the squared modulus of the wave function is the probability density of the existence of the particle? The role...
28 February 2021 6,282 9 View
28 February 2021 5,433 3 View
I am simulating helix antenna in hfss, right now, giving excitation with 50 ohms port. When I see the results of Z parameter (real). It shows lower than 50 ohms. Do not understand, if it can be...
27 February 2021 4,218 7 View
I am interested in evaluating mesh optimization solvers that converge to high aspect ratio unstructured hexahedral grids. In other words, I am interested in a solver that optimizes warpage,...
26 February 2021 7,279 2 View
It is said that fixed point theory has lot of applications not in the field of mathematics only but also in various areas. So I am looking for applications in Chemistry only..
26 February 2021 3,533 1 View