hkBattousai
• Member for 9 years, 11 months
• Last seen this week
• Turkey

### Questions (36)

 39 Affine transformation applied to a multivariate Gaussian random variable - what is the mean vector and covariance matrix of the new variable? 38 What is the proof that covariance matrices are always semi-definite? 19 What is the general formula for calculating dot and cross products in spherical coordinates? 12 Could we show $1-(x-\frac{x^3}{3!}+\frac{x^5}{5!}-\dots)^2=(1-\frac{x^2}{2!}+\frac{x^4}{4!}- \dots)^2$ if we didn't know about Taylor Expansion? 11 Solving matrix equations of the form $X = AXA^T + C$

### Reputation (3,997)

 +20 Affine transformation applied to a multivariate Gaussian random variable - what is the mean vector and covariance matrix of the new variable? +10 Affine transformation applied to a multivariate Gaussian random variable - what is the mean vector and covariance matrix of the new variable? +10 Show that the maximum of a set of convex functions is again convex -2 What is the proof that covariance matrices are always semi-definite?

 47 Affine transformation applied to a multivariate Gaussian random variable - what is the mean vector and covariance matrix of the new variable? 33 What is the proof that covariance matrices are always semi-definite? 30 Find five positive integers whose reciprocals sum to $1$ 18 Integration by substitution, why do we change the limits? 14 How to check if a point is inside a rectangle?

### Tags (82)

 47 multivariable-calculus × 6 33 probability × 6 47 linear-algebra × 4 33 proof-writing × 4 47 normal-distribution × 4 33 positive-semidefinite × 2 47 random-variables × 4 33 vector-spaces × 2 34 matrices × 10 30 diophantine-equations × 2

### Bookmarks (15)

 335 Surprising identities / equations 95 Prove $\left(\frac{2}{5}\right)^{\frac{2}{5}}<\ln{2}$ 71 What do $\pi$ and $e$ stand for in the normal distribution formula? 19 What would be the value of $\sum\limits_{n=0}^\infty \frac{1}{an^2+bn+c}$ 15 Is the least squares solution to an overdetermined system a triangle center?