### Answers (123)

 99 What is $dx$ in integration? 41 Explaining the product of two ideals 23 Find the integer closest to $\ln(2013)$ 21 Diagonalizable matrix $A$ invertible also? 21 Why is gradient the direction of steepest ascent?

### Reputation (6,935)

 +40 Explaining the product of two ideals +70 What is $dx$ in integration? +20 Great arc distance between two points on a unit sphere +10 $xT=x$ iff $x=e$ implies that every $g$ may be written as $x^{-1}(xT)$ for some $x\in G$.

### 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 (84)

 197 calculus × 27 49 matrices × 7 99 infinitesimals 48 limits × 12 56 abstract-algebra × 10 45 ideals × 2 51 integration × 14 44 linear-algebra × 7 50 algebra-precalculus × 10 31 logarithms × 2

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