Enlightened - Badge - Mathematics Stack Exchange

Enlightened

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

Awarded 23093 times.

Geometric-Harmonic Mean

Awarded 8 hours ago

Martin R

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Is the Borel sigma algebra complete under some measure?

Awarded 13 hours ago

Eric Wofsey

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A $T_1$ space which is not Hausdorff

Awarded 19 hours ago

azarel

13.3k2 gold badges39 silver badges44 bronze badges

Product between a column vector and a row vector

Awarded 23 hours ago

StackTD

28k37 silver badges66 bronze badges

Is every ring/module the filtered colimit of its finitely presented/coherent/quasicoherent subrings/submodules?

Awarded 23 hours ago

Eric Wofsey

335k28 gold badges459 silver badges678 bronze badges

What is the difference between operator theory and functional analysis?

Awarded 23 hours ago

Siminore

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What Is the Motivation of Proximal Mapping / Proximal Operator?

Awarded yesterday

Moormanly

2363 silver badges7 bronze badges

Counting the number of meetings

Awarded yesterday

YouKnowCipher

5001 silver badge13 bronze badges

Number theory: Can all rational numbers >1 be expressed as a product of rational numbers >1?

Awarded yesterday

2'5 9'2

55.7k8 gold badges84 silver badges158 bronze badges

Inversion is Smooth

Awarded 2 days ago

Jaap Eldering

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Topological definition of Convexity

Awarded 2 days ago

Henno Brandsma

245k10 gold badges129 silver badges275 bronze badges

Higher inductive type: what for?

Awarded 2 days ago

Mike Shulman

4,85417 silver badges28 bronze badges

Compute $\int_{\frac{\pi}{4}}^{\frac{\pi}{3}} \frac{\tan(x)}{1+\tan(x)}\ dx$

Awarded 2 days ago

Sine of the Time

6,8554 gold badges13 silver badges38 bronze badges

Probability that the two segments intersect

Awarded 2 days ago

Maxim

11k1 gold badge13 silver badges42 bronze badges

Are positive definite linear operator always invertible?

Awarded Sep 16 at 13:41

Martin Argerami

211k17 gold badges151 silver badges283 bronze badges

$X$ is connected iff $\forall A\subset X,$ $\partial A\neq\emptyset$

Awarded Sep 16 at 7:06

Neal

33.5k2 gold badges73 silver badges120 bronze badges

Cayley-Bacharach for higher degree curves

Awarded Sep 15 at 9:36

Alex

6,4672 gold badges20 silver badges45 bronze badges

Does $2\cdot\frac{2}{\sqrt{2}}\cdot\frac{2}{\sqrt{2+\sqrt{2}}}\cdot\frac{2}{\sqrt{2+\sqrt{2+\sqrt{2}}}}\ ...$ actually converge to $\pi$?

Awarded Sep 15 at 2:46

jjagmath

19.4k2 gold badges22 silver badges41 bronze badges

Proof of $6174$ as the unique 4-digit Kaprekar's constant

Awarded Sep 14 at 21:05

wythagoras

25.4k6 gold badges62 silver badges115 bronze badges

The meaning of an implication with the existential quantifier

Awarded Sep 14 at 19:34

aschepler

10.5k20 silver badges30 bronze badges

Gridded plane colouring problem. Can a 2x2 black square be created on a white gridded plane using 3x3 and 4x4 "stamps" that invert the grid colour?

Awarded Sep 13 at 10:41

Empy2

51.6k1 gold badge44 silver badges94 bronze badges

Distribution of an angle between a random and fixed unit-length $n$-vectors

Awarded Sep 13 at 7:20

MvG

43.1k9 gold badges91 silver badges176 bronze badges

Does $S^{\perp\perp}=\overline{S}$?

Awarded Sep 12 at 14:25

user1868607

6,0453 gold badges34 silver badges65 bronze badges

Does any row of Pascal's triangle contain a Pythagorean triple?

Awarded Sep 11 at 23:46

Saša

16.4k1 gold badge22 silver badges62 bronze badges

Classifying groups of order 18

Awarded Sep 11 at 19:41

Derek Holt

92.9k5 gold badges79 silver badges136 bronze badges

How to add negabinary numbers?

Awarded Sep 11 at 16:15

Arthur

202k14 gold badges179 silver badges322 bronze badges

Does equicontinuity imply uniform continuity?

Awarded Sep 11 at 10:52

Ian

103k4 gold badges94 silver badges164 bronze badges

Differentiating Under the Integral Proof

Awarded Sep 11 at 10:52

Alex Nelson

1,2588 silver badges18 bronze badges

How did Euler know $X=6^{128} + 1$ is divisible by $Y=257$

Awarded Sep 10 at 23:56

Prem

13.5k2 gold badges18 silver badges36 bronze badges

Threshold for the "number of UUIDs generated per millisecond" at which the collision probability of UUID v4 and UUID v7 is equal

Awarded Sep 10 at 8:02

David Clyde

5,3095 silver badges24 bronze badges

Norm of convolution

Awarded Sep 9 at 12:41

b00n heT

16.6k1 gold badge38 silver badges51 bronze badges

Does $f:[0,1]\to\mathbb{R}$ being continuous everywhere with almost everywhere vanishing derivative imply $f$ is a constant?

Awarded Sep 9 at 10:20

ncmathsadist

49.7k3 gold badges82 silver badges134 bronze badges

Visuallizing complex vectors?

Awarded Sep 9 at 7:32

HackR

2,0104 silver badges18 bronze badges

What is the relation between homotopy groups and homology?

Awarded Sep 8 at 12:55

plm

1,5259 silver badges15 bronze badges

Should Euler be credited with Prime Number Theorem?

Awarded Sep 8 at 1:01

Greg Martin

85.2k5 gold badges92 silver badges136 bronze badges

Is $\ \{ \sin(p):\ p\ $ is prime $ \}\ $ a dense subset of $\ [-1,1]\ ?$

Awarded Sep 7 at 22:06

czech-spanier

9,4692 gold badges8 silver badges31 bronze badges

Find the closed form of $_3F_2(\frac{1}{4},\frac{3}{4},\frac{5}{4};\frac{3}{2},\frac{7}{4};1)$

Awarded Sep 7 at 18:05

David H

31.1k3 gold badges79 silver badges136 bronze badges

$E^*(\mathbb{C}P^{\infty})=\bigoplus_{n\in\mathbb{Z}}E^n(\mathbb{C}P^{\infty})$ or $\prod_{n\in\mathbb{Z}}E^n(\mathbb{C}P^{\infty})$?

Awarded Sep 7 at 17:15

Eric Wofsey

335k28 gold badges459 silver badges678 bronze badges

Compute $\int_{0}^{\infty} \left( \cos\frac{1}{x}+x\sin\frac{1}{x}-2 \right)dx$

Awarded Sep 7 at 14:16

Ninad Munshi

36.3k4 gold badges36 silver badges69 bronze badges

Fundamental Group of a finite set with discrete topology

Awarded Sep 7 at 13:16

Thomas Rot

10.1k30 silver badges56 bronze badges

Proof of the 'Infinite' DeMorgan's Law.

Awarded Sep 7 at 7:00

Umberto P.

53.3k4 gold badges52 silver badges101 bronze badges

Are varieties locally contractible?

Awarded Sep 7 at 7:00

Najib Idrissi

55k9 gold badges125 silver badges208 bronze badges

A Parseval-like theorem for Mellin transforms

Awarded Sep 7 at 1:34

Daniel Fischer

209k18 gold badges290 silver badges422 bronze badges

Existence of an injective continuous function $\Bbb R^2\to\Bbb R$?

Awarded Sep 6 at 18:27

Ian

103k4 gold badges94 silver badges164 bronze badges

Finding $\lim_{x\rightarrow 1}\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x....}}}}$

Awarded Sep 6 at 16:20

Idele

1,9481 gold badge13 silver badges19 bronze badges

What are the continuous outer automorphisms of the general linear group?

Awarded Sep 6 at 12:42

testaccount

2,2894 silver badges9 bronze badges

Determinant of $2 \times 2$ block matrix with commuting blocks

Awarded Sep 6 at 10:31

user1551

142k10 gold badges130 silver badges236 bronze badges

How to show the uniqueness of splitting fields?

Awarded Sep 6 at 5:11

Arturo Magidin

408k58 gold badges843 silver badges1.1k bronze badges

Bases required for prime-testing with Miller-Rabin up to $2^{63}-1$

Awarded Sep 5 at 23:12

Daniel Fischer

209k18 gold badges290 silver badges422 bronze badges

Non linear maps between two vector spaces

Awarded Sep 5 at 23:12

Arturo Magidin

408k58 gold badges843 silver badges1.1k bronze badges

Comma categories for defining cones

Awarded Sep 5 at 8:10

Eric Wofsey

335k28 gold badges459 silver badges678 bronze badges

Help understanding the complex matrix representation of quaternions

Awarded Sep 5 at 8:10

anon

153k12 gold badges239 silver badges408 bronze badges

Diagonal sequence trick: Uniform bound necessary?

Awarded Sep 5 at 3:23

Hagen von Eitzen

377k31 gold badges364 silver badges662 bronze badges

Recurrence for the partition numbers

Awarded Sep 5 at 3:23

anon

153k12 gold badges239 silver badges408 bronze badges

Tensor Product and Direct Sum

Awarded Sep 4 at 13:59

martini

84.9k5 gold badges110 silver badges148 bronze badges

Some group conditions imply non-trivial centre

Awarded Sep 4 at 13:59

Derek Holt

92.9k5 gold badges79 silver badges136 bronze badges

Fourier Representation of Dirac's Delta Function

Awarded Sep 4 at 12:01

cmk

12.4k7 gold badges22 silver badges43 bronze badges

Can a quadrilateral polygon have 3 obtuse angles?

Awarded Sep 4 at 8:16

Nuclear Hoagie

2,54412 silver badges11 bronze badges

Catalan numbers and triangulations

Awarded Sep 4 at 5:18

Mike Earnest

79.9k11 gold badges69 silver badges140 bronze badges

Compact surface with Gaussian curvature is positive, negative, and zero

Awarded Sep 4 at 1:11

Neal

33.5k2 gold badges73 silver badges120 bronze badges

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