Intereting Posts

Rigorous Text in Multivariable Calculus and Linear Algebra
Cylinder object in the model category of chain complexes
Conditional expectation equals random variable almost sure
Addition theorems for elliptic functions: is there a painless way?
Counting the number of 4 letter words that can be made from a given multiset of 11 letters
Showing that two definitions of $\limsup$ are equivalent
Height of a tetrahedron
Easiest way to show $x^2 – 229y^2 = 12$ has no solutions in integers
Notation for intervals
Find the Vector in the New Position Obtained by Rotation
Urysohn's Lemma: Proof
How to solve this equation $x^{2}=2^{x}$?
What does “defining multiplication in quotient rings” actually mean?
Why is cardinality of set of even numbers = set of whole numbers?
Poisson's equation with Robin boundary conditions

Put $a_{0}= \pi/2$ and $a_{n}=\sin(a_{n-1})$.

Is $\sum a_{n}$ a convergent series?

- Euler-Maclarurin summation formula and regularization
- The sum of powers of two and two's complement – is there a deeper meaning behind this?
- $\int_0^\infty \frac{\log(1+x)}{x}e^{-\alpha x}dx$
- Asymptotic expansion of an integral
- If $\sum_{1}^{\infty}(a_n)^3$ diverges, does $\sum_{1}^{\infty}(a_n)$?
- Kummer's test - Calculus, Apostol, 10.16 #15.

- If $B\times \{0\}$ is a Borel set in the plane, then $B$ is a Borel set in $\mathbb{R}$.
- If the set of values , for which a function has positive derivative , is dense then is the function increasing?
- Uniform convergence problem
- Let $A , B\subseteq\mathbb{R}$. If $A$ is closed and $B$ is compact, is $A\cdot B$ closed?
- To show that function is constant
- Prove $\sum\limits_{n = 1}^\infty \frac{( - 1)^n}{\ln n + \sin n} $ is convergent.
- Intermediate Value Theorem and Continuity of derivative.
- Convergence of $\sum \frac{a_n}{S_n ^{1 + \epsilon}}$ where $S_n = \sum_{i = 1} ^ n a_n$
- Does strict convexity imply differentiability?
- Prove functions defined by sup and inf are continuous

- What is the definition of a set?
- Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) – \frac{1}{2} \log^2 2$
- Is the proof of $\lim_{\theta\to 0} \frac{\sin \theta}{\theta}=1$ in some high school textbooks circular?
- What are these 3D shapes, if anything?
- If polynomials are almost surjective over a field, is the field algebraically closed?
- Continuous but not uniformly continuous example
- Two elements in a non-integral domain which are not associates but generate the same ideal
- Shortest path between two points on a surface
- Prove by elementary methods: the plane cannot be covered by countably many copies of the letter “Y”
- Convert segment of parabola to quadratic bezier curve
- Limit of $L^p$ norm
- how does expectation maximization work?
- How can I prove that every maximal ideal of $B= \mathbb{Z} $ is a principal?
- solve system of two trigonometric equations
- How many ways are there for people to queue?