Questions (76)

 13 Intuition Wanted: Why Define Integrals Component-Wise 6 Find Jordan Decomposition of $\begin{pmatrix} 4 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 3 \end{pmatrix}$ over $\mathbb{F}_5$ 6 CheckMyProof: Proofs involving Big-O Notation 5 (How) can one visualise the derivative of the function $A \mapsto A^{-1}$, where $A$ is a matrix? 5 Given a “composite” norm, what polygon described its unit ball?

Reputation (1,750)

 +2 How should i solve this probability theory task? +2 Let $\ln X \sim \operatorname{Exp}(1)$ and $X,Y$ i.i.d. What is the distribution of $Z=XY$? +2 Find $\lim_{x\to-\infty}\ln\left(\sqrt{x^2+4}+x\right)$. +2 Show that matrix $A(XB^{-1})^𝑇 = 𝐶$ to $X = C^T(A^{-1})^TB$

 17 Evaluating $\int_0^1 \frac{3x}{\sqrt{4-3x}} dx$ 6 Solve the inequality $\frac{2}{x} > 3 x$ 5 Why is $\int_{0}^{1} \log x$ computable? 5 Geometric Interpretation of the Basel Problem? 4 Prove Convergence with ratio test for series $\sum_{n=1}^{\infty} (\prod_{i = 1}^{n} = \frac{i}{2i-1})$

Tags (145)

 27 calculus × 13 10 sequences-and-series × 8 24 definite-integrals × 5 10 limits × 7 19 integration × 8 8 real-analysis × 38 17 substitution 7 inequality × 8 10 linear-algebra × 24 7 algebra-precalculus × 4