Intereting Posts

Showing that the space $C$ with the $L_1$ norm is incomplete
Tensor Product: Hilbert Spaces
Ring homomorphism from $\mathbb Z$ to $\mathbb Z$ is always identity or $0$
Why does $ \frac{2x}{2+x}$ provide a particularly tight lower bound for $\ln(1+x)$ for small positive values of $x$?
Concrete description of (co)limits in elementary toposes via internal language?
Method of Exhaustion applied to Parabolic Segment in Apostol's Calculus
Find the value of $\sqrt{10\sqrt{10\sqrt{10…}}}$
Localization at an element is intersection of localizations at primes not containing the element
If $f \in \operatorname{Hol}(D)$, $f(\frac{1}{2}) + f(-\frac{1}{2}) = 0$, prove that $|f(0)| \leq \frac{1}{4}$
Prove an algorithm for logarithmic mean $\lim_{n \to \infty} a_n=\lim_{n \to \infty} b_n=\frac{a_0-b_0}{\ln a_0-\ln b_0}$
Is $\log(z^2)=2\log(z)$ if $\text{Log}(z_1 z_2)\ne \text{Log}(z_1)+\text{Log}(z_2)$?
If a function is measurable with respect to the completion then it is equal to some measurable (with respect to the measure space) function a.e.
Convergence of $\sum_{n=1}^{\infty }\frac{a_{n}}{1+na_{n}}$?
Cantor-Bernstein-like theorem: If $f\colon A\to B$ is injection and $g\colon A\to B$ is surjective, can we prove there is a bijection as well?
Can I derive $i^2 \neq 1$ from a presentation $\langle i, j \mid i^4 = j^4 = 1, ij = j^3 i\rangle$ of Quaternion group $Q$?

How do I find the volume when revolving the region bounded by $y=1-\frac{1}{2}x$, $y=0$, and $x=0$ about the line $ x=-2$?

Would it be $x=2-2y$

so radius $r(y) = 2-2y -(-2) $ => $r(y)= 4-2y$

$π\int (4-2y)^2 dy$ ?

- How to prove for $s<1,|a+b|^s\le|a|^s+|b|^s$
- Given $\lim\limits_{x\to 0} \frac {x(1+a\cos x)-b\sin x}{x^3}=1$, what is the value of $a+b$?
- What are some easy to understand applications of Banach Contraction Principle?
- Method of Steepest Descent and Lagrange
- Continued fraction estimation of error in Leibniz series for $\pi$.
- Evaluation of $ \int\frac{\sqrt{\sin x}}{\sqrt{\sin x}+\sqrt{\cos x}}dx$

What would be my limits of integration? Would it be from 0 to 2?? yes?

- Recursive square root problem
- How to bound this integral?
- Improper Integral:$\int_{0}^{+\infty}\frac{\sin x}{x+\sin x}dx$
- Show that $a_n<\sqrt{2}$ for every $n\in\mathbb{N}$.
- Show that $f$ is identically zero if $|f(x)|\leq\int_0^xf(t)dt$
- The simple roots of a polynomial are smooth functions with respect to the coefficients of the polynomial?
- Intuition behind the ILATE rule
- Expanded concept of elementary function?
- basic calculus/analysis question. why is $\frac {dy}{dx} dx = dy$?
- Definition of the total derivative.

Hint: You’ve done everything right except for the integration limits. Since you are integrating over $y$, the limits should be from $y=0$ to where the given line intersects the $y$-axis, which is *not* $y=2$.

- gauss map takes geodesics to geodesics
- Number of primitive characters modulo $m$.
- What are the irreducible components of $V(xy-z^3,xz-y^3)$ in $\mathbb{A}^3_K$?
- What do mathematicians mean when they say “form”?
- independent, identically distributed (IID) random variables
- Consistency strength of weakly inaccessibles without $\mathsf{GCH}$
- pseudo-inverse to the operation of turning a metric space into a topological space
- Image of Jacobson Radical is the Jacobson Radical
- Any manifold admits a morse function with one minimum and one maximum
- $\sigma$ – compact and locally compact metric space
- Direct limit of $\mathbb{Z}$-homomorphisms
- Universal property of initial topology
- Constructing dependent product (right adjoint to pullback) in a locally cartesian closed category
- Let $\text{Rank}{(A – \lambda I)^k} = \text{Rank}{(B – \lambda I)^k}$. Why are $A$ and $B$ similar?
- If a cyclotomic integer has (rational) prime norm, is it a prime element?