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Questions (36)

 15 What is the proof that covariance matrices are always semi-definite? 12 Could we show $1-(x-\dfrac{x^3}{3!}+\dfrac{x^5}{5!}-\dots)^2=(1-\dfrac{x^2}{2!}+\dfrac{x^4}{4!}- \dots)^2$ if we didn't know about Taylor Expansion? 11 Affine transformation applied to a multivariate Gaussian random variable - what is the mean vector and covariance matrix of the new variable? 8 Solving matrix equations of the form $X = AXA^T + C$ 7 What is the general formula for calculating dot and cross products in spherical coordinates?

Reputation (1,674)

 +10 What is the proof that covariance matrices are always semi-definite? +10 How to check if a point is inside a rectangle? +10 What is the proof that covariance matrices are always semi-definite? +5 What exactly are the “higher order terms” (H.O.T.) in Taylor series expansion in multivariable case?

 18 Find five positive integers whose reciprocals sum to $1$ 14 Integration by substitution, why do we change the limits? 13 Affine transformation applied to a multivariate Gaussian random variable - what is the mean vector and covariance matrix of the new variable? 11 What is the proof that covariance matrices are always semi-definite? 10 How to check if a point is inside a rectangle?

Tags (81)

 23 calculus × 2 14 integration × 2 18 diophantine-equations × 2 14 definite-integrals 18 egyptian-fractions 13 multivariable-calculus × 6 18 elementary-number-theory 13 normal-distribution × 4 18 fractions 13 linear-algebra × 4

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