Enlightened - Badge - Mathematics Stack Exchange

Enlightened

First to answer and accepted with score of 10 or more. This badge can be awarded multiple times.

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How do mathematics define a point?

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TBrendle

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Need help understanding cell complexes

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freakish

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Abelianization of the absolute group and maximal abelian extension

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Marc

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Definition of Sheaf of Rational Functions on Integral Scheme?

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Kenny Wong

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What is the Zariski closure of the unitary group?

Awarded 2 days ago

Eric Wofsey

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$\int f(y)e^{-y^2} e^{2xy}\,dy$, to prove $f=0$

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Michael Hardy

Sufficient conditions on target space for the existence of regular conditional probability

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Michael Greinecker

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Separated scheme stable under base extension.

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Zhen Lin

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prove $\sum \limits_{cyc} \frac{x}{x+\sqrt{(x+y)(x+z)}}\leq 1$

Awarded Apr 28 at 11:21

shadow10

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Separability and tensor product of fields

Awarded Apr 28 at 3:30

user26857

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How is it possible for the inverse function of a linear-continuous-bijective function to be not continuous?

Awarded Apr 27 at 21:47

azarel

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$a_{n+1} = 2026a_n - 2025a_{n-1} - 4046a_{n-2}$, for all $n \geq 3$. Is there a term of this sequence that is a perfect square?

Awarded Apr 27 at 15:06

Andre

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A finite field extension $K\supset\mathbb Q$ contains finitely many roots of unity

Awarded Apr 27 at 14:06

Ewan Delanoy

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What are the self-normalizing subgroups of $S_n$?

Awarded Apr 27 at 11:34

Robert Chamberlain

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Proof of Continuous compounding formula

Awarded Apr 26 at 22:27

Arthur

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Is there a metric $d$ on $\mathbb{R}$ such that $\{d(x,y):x,y\in\mathbb{R}\}=[0,\infty)\cap\mathbb{Q}$?

Awarded Apr 26 at 18:51

SmileyCraft

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How to prove the Milner-Rado Paradox?

Awarded Apr 26 at 10:46

Amit Kumar Gupta

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Question about product of categories exercise

Awarded Apr 26 at 7:31

Arturo Magidin

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Doubt relation to substitution while differentiating

Awarded Apr 26 at 4:56

wasn't me

Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Awarded Apr 25 at 12:03

Guy Fsone

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How many permutations in S(n) have this particular type?

Awarded Apr 25 at 10:10

Brian M. Scott

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Properties of the inverse Laplacian operator

Awarded Apr 24 at 16:27

ToGle

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Bertrand's Postulate bound of $p_{n+1} \lt 2p_n$ can be lowered even further, down to $p_{n+1} \lt p_n + 2n$ - known conjecture?

Awarded Apr 22 at 17:53

Bruno Andrades

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Let E be the splitting field of $f(x)=x^4-10x^2+1$ over $\Bbb{Q}$. find $Gal(E/\Bbb{Q})$.

Awarded Apr 22 at 17:53

Alex Becker

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How can you demonstrate that $x = a + b + c$ without using trigonometry?

Awarded Apr 22 at 14:22

John Omielan

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Cosets and quotient groups. What is the difference?

Awarded Apr 22 at 14:22

freakish

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Proving $\lvert\sin x\rvert + \lvert\cos x\rvert\geq 1$, for real $x$, without calculus

Awarded Apr 21 at 16:46

Jordan B

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Why does the integral domain "being trapped between a finite field extension" implies that it is a field?

Awarded Apr 20 at 21:33

darij grinberg

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Is it true that $\lim_{n \to \infty} \frac{\sup[\sin(x) + \sin(2x) + \sin(3x) + \sin(4x) + \ldots + \sin(nx)]}{n} = \frac{3}{4}$?

Awarded Apr 20 at 20:33

Carl Schildkraut

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Intro to Smooth Manifolds by Lee, Problem 6-13c

Awarded Apr 20 at 18:23

Geoffrey Sangston

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Primitive Root Theorem Proof

Awarded Apr 20 at 5:21

Greg Martin

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Grothendieck's Galois theory: fundamental theorem

Awarded Apr 19 at 23:57

Giulio Bresciani

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min $k$ s.t. $|z_1+z_2+\cdots+z_n|\geq \frac{1}{k}(|z_1|+|z_2|+\cdots+|z_n|).$

Awarded Apr 19 at 15:11

Yiorgos S. Smyrlis

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Proof of $n^2 \leq 2^n$.

Awarded Apr 19 at 3:21

Nameless

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Combinatorics - prove white can always force a win or draw in double chess

Awarded Apr 18 at 4:46

bonsoon

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Equation of auxiliary circle of the ellipse $2x^2 +6xy + 5y^2 =1$

Awarded Apr 17 at 17:57

Hari Shankar

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Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$

Awarded Apr 17 at 14:57

David

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Bound on mills ratio of Normal distribution

Awarded Apr 16 at 18:07

jacobdurden

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Decomposition of a homogeneous polynomial

Awarded Apr 16 at 8:25

tj_

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Proving $\mathbb{R}P^n$ is orientable if and only if $n$ is odd.

Awarded Apr 15 at 21:05

peek-a-boo

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Dirichlet Convolution of the Mobius Function with Itself

Awarded Apr 15 at 14:52

Especially Lime

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Is the weak topology on $\mathbb{R}^{\infty}$ the same as the box topology?

Awarded Apr 15 at 14:52

Eric Wofsey

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Complex Analysis -- Uniform Convergence on Compact Sets

Awarded Apr 15 at 14:52

Emily

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Terminology question: why "positive" in "contrapositive"?

Awarded Apr 14 at 19:25

Tankut Beygu

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How to check which subgroups of $D_4$ are normal

Awarded Apr 14 at 19:25

Alex Wertheim

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Understanding the definition of group split extensions

Awarded Apr 14 at 12:25

tkf

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For symmetric stable distributions, why is $\alpha \le 2$?

Awarded Apr 14 at 12:25

Did

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Set theoretic definition of pre-image

Awarded Apr 13 at 21:05

Ethan Bolker

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Question about Riemann integrability: do we need to specify that all Riemann sums converge to the same number in the definition?

Awarded Apr 13 at 17:05

Thorgott

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What are the length of the longest element in a Coexter group for every type?

Awarded Apr 13 at 8:39

Jim

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Unexpected $\pi$ and $\ln(2)$ in simple coin toss stopping rule

Awarded Apr 13 at 2:16

Anthony Valder

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Closed form of $\int_{-\infty}^{\infty} x e^{(1-a)x} \frac{\cos^2(\omega x)}{e^{e^x}+1} \, dx$

Awarded Apr 12 at 23:46

probably a frog

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Definition of identical functions: Must codomains match?

Awarded Apr 11 at 22:52

Damian Pavlyshyn

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Is the powerset monad unique?

Awarded Apr 9 at 17:41

Martin Brandenburg

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Why is this set a Ramsey Ultrafilter?

Awarded Apr 9 at 1:30

Henno Brandsma

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Circles Tangent to a Parabola and Two Adjacent Circles

Awarded Apr 8 at 17:56

heropup

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$SO(3)$ homeomorphic to $\mathbb{R}P^3$

Awarded Apr 8 at 17:56

Aloizio Macedo♦

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In a locally path connected space, every open connected subset is path connected

Awarded Apr 8 at 7:21

Henno Brandsma

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A tricky integral inequality

Awarded Apr 8 at 1:18

Zilin J.

4,32017 silver badges23 bronze badges

Parallelogram law functional equation: $ f ( x + y ) + f ( x - y ) = 2 \big( f ( x ) + f ( y ) \big) $

Awarded Apr 7 at 13:42

Mohsen Shahriari

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