108 What is $dx$ in integration? 44 Explaining the product of two ideals 25 Why is gradient the direction of steepest ascent? 23 Find the integer closest to $\ln(2013)$ 22 Diagonalizable matrix $A$ invertible also?

### Reputation (7,473)

 +20 What is $dx$ in integration? +10 Prove $(A^T)^{-1}$ = $(A^{-1})^T$ whenever $A$ is invertible. +10 Why is gradient the direction of steepest ascent? +10 Explaining the product of two ideals

### Questions (6)

 16 Example of unital non-commutative ring with $(ab)^2=(ba)^2$ for all $a,b$ 15 A ring with no non-zero nilpotents and $(ab)^2=a^2b^2$ for all $a,b$ must be commutative 12 Evaluating the elliptic integral $\int_{-\pi}^\pi\frac{dx}{\sqrt{(t-2\cos x)^2-4}}$ 6 “Almost” ring homomorphism 3 When can a ring imbed in a localization?

### Tags (83)

 211 calculus × 27 50 algebra-precalculus × 10 108 infinitesimals 48 limits × 12 59 abstract-algebra × 10 48 ideals × 2 53 matrices × 7 45 linear-algebra × 7 51 integration × 14 31 logarithms × 2

### Bookmarks (2)

 93 Mathematicians' Tensors vs. Physicists' Tensors 3 Prove that $R$ has unity [duplicate]