# Diane Vanderwaif

less info
reputation
1319
bio website location age member for 1 year, 8 months seen 2 days ago profile views 785

# 254 Questions

 6 How to prove that this recursively defined sequence converges to $e$? 5 Prove that the diagonal $∆$ in $S^2×S^2$ is not globally definable by $2$ independent function. 5 Use the divergent theorem to verify the volume of a circular cone 5 Evaluate $\int ^1 _0 x^2 \, dx$ without using the Fundamental Theorem of Calculus 5 Limit superior inequalities proof

# 626 Reputation

 +5 Prove that in the half plane $\{x>0\}$, ω is the differential of a function. +5 Prove that the diagonal $∆$ in $S^2×S^2$ is not globally definable by $2$ independent function. +10 Prove that any map $f\colon S^1 \to S^1$ mapping antipodal point to antipodal point has $\deg_2(f)=1$ by a direct computation. +5 Prove that the property of being bipartite for a graph is recognizable.

 1 Prove that $f$ map a neighborhood of $Z$ diffeomorphically on to a neighborhood of $f(Z)$( more detail) 1 Prove that any map $f\colon S^1 \to S^1$ mapping antipodal point to antipodal point has $\deg_2(f)=1$ by a direct computation. 1 Prove that if $u$ and $v$ do not lie on a common cycle then $od(u)≠od(v)$ 1 Prove that if $G$ is an nontrivial connected graph with at most 2 bridges, then there exists an orientation $D$

# 42 Tags

 2 graph-theory × 78 0 abstract-algebra × 18 2 differential-topology × 23 0 real-analysis × 11 0 calculus × 89 0 group-theory × 9 0 proof-writing × 46 0 differential-equations × 8 0 general-topology × 26 0 sequences-and-series × 7

# 2 Accounts

 Mathematics 626 rep 1319 MathOverflow 101 rep