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Aug
24
answered Can the Intermediate Value Theorem be proved by Heine-Borel Lemma?
Aug
23
answered Is this proof for the Intermediate Value Theorem correct?
Aug
23
answered Proof Verification: Converse of Intermediate Value Theorem
Aug
12
answered Radius of the spherical image of a circle
Aug
6
answered Lagrange's identity in the complex form
Aug
4
answered Let $f$ be differentiable at every point of some open ball $B(a)$ in $\mathbb R^n$ and $f(x)\le f(a) , \forall x \in B(a)$ , then prove $D_k f(a)=0$.
Jul
26
answered A question regarding a proof in Ahlfors
Jul
26
answered Is there a proof for the maximum principle without the Cauchy integral theorem?
Jul
13
answered if $\epsilon >0$, then there exists $\delta > 0$ such that if $Q$ is partition with $||Q||< \delta$, then $L(Q;f) \geq L(f) - \epsilon$
Jul
3
answered Why is every conformal bijection between disks a linear fractional transformation?
May
14
answered Why is a Möbius transform uniquely determined based on known mappings of three points?
May
10
answered Is Lipschitz's condition necessary for existence of unique solution of an I.V.P.?
Jan
31
answered How to prove the following recursive sequence produce relatively prime numbers
Jan
12
answered Vector subspaces of $\mathbb{R}[x]_n$ result
Nov
15
answered Eigenvalues of operator $p(T)$ in terms of the eigenvalues of $T$, where $p$ is a polynomial
Nov
12
answered Is there a simpler proof that $f(x,y,z) = 4x + 11y + 18z$ is surjective?
Nov
3
answered Let $V$ be a finite dimensional real vector space and let $A:V\to V$ be a linear map such that $A^2=A$
Oct
21
answered Deduce the Bolzano-Weierstrass Theorem from the Heine-Borel Theorem
Oct
14
answered Graph of measurable function has measure 0 in the product measure space
Oct
2
answered Decomposing Countable Union of Measurable Sets