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Top Questions
15
votes
Finding all solutions to the equation $|||||x|-1|-1|-1|-1|=0$
algebra-precalculus
absolute-value
asked Aug 30, 2014 at 3:06
math.stackexchange.com
15
votes
Chain rule in the Sobolev space $W^{1,p}$
functional-analysis
sobolev-spaces
asked Jan 19, 2015 at 9:03
math.stackexchange.com
14
votes
Proving that a Hölder space is a Banach space
real-analysis
functional-analysis
banach-spaces
holder-spaces
asked Jan 8, 2015 at 8:14
math.stackexchange.com
14
votes
Proving $\frac{n^n}{e^{n-1}}<n!<\frac{(n+1)^{n+1}}{e^{n}}$ by induction for all $n> 2$.
inequality
induction
asked Feb 14, 2015 at 23:11
math.stackexchange.com
13
votes
Prove that every subgroup of an abelian group is a normal subgroup.
group-theory
normal-subgroups
asked Feb 17, 2014 at 7:42
math.stackexchange.com
13
votes
Nonhomogeneous wave equation
pde
wave-equation
asked Jun 4, 2014 at 18:51
math.stackexchange.com
13
votes
Arithmetic pattern $1 + 2 = 3$, $4 + 5 + 6 = 7 + 8$, and so on
summation
arithmetic
asked Jan 7, 2015 at 19:02
math.stackexchange.com
12
votes
Elliptic regularization of the heat equation
pde
calculus-of-variations
euler-lagrange-equation
asked Jun 3, 2015 at 8:01
math.stackexchange.com
12
votes
Show that a group with $|G| = 33$ contains an element of order $3$
abstract-algebra
group-theory
asked Feb 3, 2014 at 4:28
math.stackexchange.com
12
votes
For which real numbers $c$ is $\frac{e^x+e^{-x}}{2} \le e^{cx^2}$ for all real numbers $x$?
calculus
real-analysis
asked May 21, 2014 at 5:27
math.stackexchange.com
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Top Answers
13
Show that $\int_0^\infty e^{-x}\cos x \text{dx}=\int_0^\infty e^{-x} \sin x \text{dx}$
math.stackexchange.com
12
Why integers are not enough?
math.stackexchange.com
10
Lagrange's Trigonometric Identity
math.stackexchange.com
10
How come the function and the inverse of the function are the same?
math.stackexchange.com
10
Using the chain rule to find derivative
math.stackexchange.com
8
Fermat last theorem
math.stackexchange.com
8
How do I solve this ODE?
math.stackexchange.com
8
Integral $\int^{ \pi /2}_{0} \ln (\sin x)\ dx$
math.stackexchange.com
8
Groups involving matrices
math.stackexchange.com
8
A problem with exponent laws...
math.stackexchange.com
7
Palindromes on a digital clock
math.stackexchange.com
6
Integration by substitution - $\int x^2 \sqrt{x-2} \text{dx}$
math.stackexchange.com
6
Using the definition of limit, prove $\frac{x+1}{x+2}\to 1$ as $x\to\infty$
math.stackexchange.com
6
Why does $\frac{49}{64}\cos^2 \theta + \cos^2 \theta$ equal $\frac{113}{64}\cos^2 \theta $?
math.stackexchange.com
5
How to show that $\sinh^2(x) \ge x^2$
math.stackexchange.com
5
Gentle introduction to algebraic number theory
math.stackexchange.com
5
How does the Law of Sines work?
math.stackexchange.com
5
find the area of the shaded region $x=y^2-1, y=1, x=\sqrt y$
math.stackexchange.com
5
Solving limit given a limit
math.stackexchange.com
5
Is there a simple group of order $105$?
math.stackexchange.com
5
How can I prove this $(1 + x)^n \geq n\cdot x + 1$
math.stackexchange.com
5
Does $\langle f+h,g\rangle=\langle f,g\rangle+\langle h,g\rangle$ hold for all elements $f, g, h$ of an inner product space?
math.stackexchange.com
5
Wave equation $u_{xx}+u_{xt}- u_{tt}=0$
math.stackexchange.com
5
How do I integrate $\frac{\sin x+\cos x}{\sin^4 x+\cos^4 x}$
math.stackexchange.com
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