Stefan Smith

 21 Closed ball is not compact 11 Why can't polynomials have negative exponents or division by a variable 9 Determinant of rank-one perturbations of (invertible) matrices 8 What is the difference between an indefinite integral and an antiderivative? 7 Double integral $\iint_D\arctan e^{xy}\,dy\,dx$

### Reputation (7,418)

 +10 Must a weakly divergence-free vector function be continuous? +10 Describe all matrices similar to a certain matrix. +10 Determinant of rank-one perturbations of (invertible) matrices +10 Determinant of rank-one perturbations of (invertible) matrices

### Questions (61)

 35 Prove that the set of $n$-by-$n$ real matrices with positive determinant is connected 27 Do you need the Axiom of Choice to accept Cantor's Diagonal Proof? 18 Determinant of rank-one perturbations of (invertible) matrices 15 Smoothing a Sobolev function 15 What is the best way to define the diameter of the empty subset of a metric space?

### Tags (138)

 69 real-analysis × 41 20 matrices × 10 51 calculus × 42 19 integration × 15 32 linear-algebra × 21 17 limits × 15 27 sequences-and-series × 15 17 analysis × 14 25 multivariable-calculus × 14 13 functional-analysis × 10

### Bookmarks (1)

 0 Computing the integration $\int_0^{+\infty}{\frac{\sin(x)}{\sqrt{x}}}dx$. [duplicate]