Populist - Badge - Mathematics Stack Exchange

Populist

Highest scoring answer that outscored an accepted answer with score of more than 10 by more than 2x. This badge can be awarded multiple times.

Awarded 528 times.

To prove Cayley-Hamilton theorem, why can't we substitute $A$ for $\lambda$ in $p(\lambda) = \det(\lambda I - A)$?

Awarded 2 days ago

Josse van Dobben de Bruyn

6,6071 gold badge23 silver badges42 bronze badges

Find a simple proof that π is irrational

Awarded Dec 5 at 8:17

Jam

10k3 gold badges28 silver badges43 bronze badges

Factorize the polynomial $x^3+y^3+z^3-3xyz$

Awarded Nov 29 at 10:20

Elensil

1,1231 gold badge9 silver badges13 bronze badges

Why is a finite integral domain always field?

Awarded Nov 6 at 16:51

George

1,7972 gold badges13 silver badges11 bronze badges

What was Lame's proof?

Awarded Nov 6 at 12:33

Jack M

27.6k7 gold badges63 silver badges128 bronze badges

Proving $(1 + 1/n)^{n+1} \gt e$

Awarded Oct 27 at 7:12

David Mitra

74.2k10 gold badges138 silver badges198 bronze badges

Does $G\times K\cong H\times K$ imply $G\cong H$?

Awarded Oct 26 at 11:11

Seirios

32.9k6 gold badges77 silver badges145 bronze badges

What does QR decomposition have to do with least squares method?

Awarded Oct 24 at 16:47

Richard

1,2561 gold badge10 silver badges18 bronze badges

What is the opposite category of $Set$?

Awarded Oct 23 at 13:56

user43208

7,6961 gold badge29 silver badges42 bronze badges

How to prove the following number theory puzzle

Awarded Oct 18 at 21:37

lulu

68.5k5 gold badges77 silver badges123 bronze badges

Probability that randomly picking $4$ out of $90$ numbers yields an ascending sequence?

Awarded Sep 18 at 4:31

N. F. Taussig

75.9k14 gold badges56 silver badges73 bronze badges

Intuitive explanation of the tower property of conditional expectation

Awarded Aug 23 at 4:51

leonbloy

62.1k10 gold badges73 silver badges152 bronze badges

What is inverse of $I+A$?

Awarded Aug 17 at 16:05

Lukas Koestler

3511 gold badge2 silver badges5 bronze badges

How to find area of triangle from its medians

Awarded Aug 15 at 20:51

robjohn♦

342k36 gold badges460 silver badges846 bronze badges

What is the mean value of $|\sin x +\sin (\pi x)|$?

Awarded Jul 26 at 1:27

Willow Wisp

1,0481 gold badge2 silver badges9 bronze badges

Show convexity of the quadratic function

Awarded Jul 17 at 4:05

Luis Herrera

4041 gold badge3 silver badges8 bronze badges

Method to reverse a Kronecker product

Awarded May 7 at 11:20

bluelizard

5111 gold badge4 silver badges4 bronze badges

What is the Difference between Variance and MSE?

Awarded May 5 at 17:32

heropup

129k14 gold badges100 silver badges182 bronze badges

Subgroup of $\mathbb{R}$ either dense or has a least positive element?

Awarded Apr 27 at 16:06

Paul

18.9k4 gold badges56 silver badges80 bronze badges

Is the homomorphic image of an ideal an ideal?

Awarded Apr 18 at 11:22

Alex M.

34.9k16 gold badges47 silver badges88 bronze badges

Why must harmonic functions on compact Riemannian manifolds be constant?

Awarded Apr 8 at 17:00

Ivo Terek

76.4k12 gold badges97 silver badges223 bronze badges

Abelian groups and $\mathbb{Z}$-modules

Awarded Mar 24 at 21:16

hmakholm left over Monica

284k24 gold badges425 silver badges685 bronze badges

Guessing a subset of $\{1,...,N\}$

Awarded Mar 3 at 2:06

mjqxxxx

40.8k3 gold badges59 silver badges108 bronze badges

Why can't you add apples and oranges, but you can multiply and divide them?

Awarded Jan 28 at 16:57

fgp

20.8k3 gold badges33 silver badges53 bronze badges

Proof involving norm of an integral

Awarded Jan 11 at 17:58

Equivalent Triangle

9991 gold badge5 silver badges11 bronze badges

Links between difference and differential equations?

Awarded Jan 4 at 21:27

user26872

19.3k3 gold badges44 silver badges94 bronze badges

Is the Riemann integral of a strictly positive function positive?

Awarded Jan 1 at 23:35

Dave Gaebler

2,7471 gold badge19 silver badges23 bronze badges

Are all eigenvectors, of any matrix, always orthogonal?

Awarded Dec 22, 2022 at 7:56

Yue Tyler Jin

8111 gold badge6 silver badges2 bronze badges

Big list: books where we "...start from a mathematically amorphous problem and combine ideas from sources to produce new mathematics..."

Awarded Nov 14, 2022 at 17:17

Conifold

11.5k3 gold badges31 silver badges55 bronze badges

Finding $\int_{-2}^8xf(x)dx$ given $\int_{-2}^8f(x)dx$

Awarded Nov 12, 2022 at 12:10

AccidentalFourierTransform

2,5821 gold badge15 silver badges34 bronze badges

Is $g(x)=\log x$ convex function?

Awarded Nov 9, 2022 at 2:47

Cm7F7Bb

17.2k5 gold badges37 silver badges65 bronze badges

Space which is connected but not path-connected

Awarded Oct 19, 2022 at 21:27

Plutoro

22.5k2 gold badges41 silver badges71 bronze badges

Minimal free resolution

Awarded Sep 30, 2022 at 9:46

Matt E

123k13 gold badges310 silver badges473 bronze badges

Right-adjoint functors are left-exact?

Awarded Sep 16, 2022 at 18:25

archipelago

4,1581 gold badge18 silver badges29 bronze badges

Numerically stable algorithm for solving the quadratic equation when $a$ is very small or $0$

Awarded Sep 12, 2022 at 18:17

Marcus

4511 gold badge4 silver badges2 bronze badges

Definition of e

Awarded Sep 6, 2022 at 11:11

Arturo Magidin

388k55 gold badges807 silver badges1119 bronze badges

Which of the numbers $300!$ and $100^{300}$ is greater

Awarded Sep 5, 2022 at 0:56

Ivoirians

5591 gold badge3 silver badges7 bronze badges

Can you prove that proof-by-induction is invalid for the real interval [0, 1]?

Awarded Aug 21, 2022 at 18:15

Noah Schweber

240k21 gold badges330 silver badges593 bronze badges

Why do we say ‘pairwise disjoint’, rather than ‘disjoint’?

Awarded Jul 9, 2022 at 10:51

saulspatz

52.9k7 gold badges34 silver badges70 bronze badges

Proving that the maximum of two convex functions is also convex

Awarded Jun 28, 2022 at 6:07

dtldarek

37.2k9 gold badges54 silver badges125 bronze badges

Example of a topological space which is not first-countable

Awarded May 30, 2022 at 8:27

Brian M. Scott

612k56 gold badges763 silver badges1271 bronze badges

How to prove Euler's formula: $e^{i\varphi}=\cos(\varphi) +i\sin(\varphi)$?

Awarded May 20, 2022 at 3:08

user02138

17k4 gold badges55 silver badges86 bronze badges

How to add and subtract values from an average?

Awarded Mar 8, 2022 at 6:07

501 - not implemented

9852 gold badges7 silver badges11 bronze badges

Lower bound for $\phi(n)$: Is $n/5 < \phi (n) < n$ for all $n > 1$?

Awarded Mar 4, 2022 at 11:15

sdcvvc

10.4k3 gold badges36 silver badges54 bronze badges

What is the relationship between blue area and red area?

Awarded Feb 10, 2022 at 9:16

CiaPan

13k2 gold badges19 silver badges53 bronze badges

Prove $\int_0^{\infty} \left(\sqrt{1+x^{4}}-x^{2}\right)\ dx=\frac{\Gamma^{2}\left(\frac{1}{4}\right)}{6\sqrt{\pi}}$

Awarded Feb 9, 2022 at 12:06

CuriousGuest

4,2811 gold badge19 silver badges33 bronze badges

Factor $x^4+1$ over $\mathbb{R}$

Awarded Jan 28, 2022 at 14:35

user2345215

16.3k2 gold badges29 silver badges58 bronze badges

What is the smallest number of $45^\circ-60^\circ-75^\circ$ triangles that a square can be divided into?

Awarded Jan 12, 2022 at 14:33

FPI

4431 gold badge4 silver badges8 bronze badges

Under the Curry-Howard correspondence or loosely "proofs-as-programs", do we also have "programs-as-proofs" and what would some arb. program prove?

Awarded Jan 6, 2022 at 0:01

HallaSurvivor

36.9k4 gold badges41 silver badges82 bronze badges

How to prove $(f \circ\ g) ^{-1} = g^{-1} \circ\ f^{-1}$? (inverse of composition)

Awarded Jan 4, 2022 at 16:11

lhf

215k18 gold badges235 silver badges550 bronze badges

Is the closure of any linear subspace of a normed space $X$ again a linear subspace of $X$?

Awarded Dec 30, 2021 at 23:34

Shankara Pailoor

1,1421 gold badge6 silver badges8 bronze badges

Hardy's Inequality for Integrals

Awarded Dec 20, 2021 at 16:12

Stephen Montgomery-Smith

26.3k2 gold badges34 silver badges63 bronze badges

Is there any way to integrate $\frac1{f(x)}$ in terms of the integral of $f(x)$?

Awarded Nov 29, 2021 at 21:06

J. M. ain't a mathematician

74.6k8 gold badges208 silver badges339 bronze badges

Irreducible polynomial which is reducible modulo every prime

Awarded Nov 14, 2021 at 18:02

Hagen von Eitzen

372k31 gold badges350 silver badges642 bronze badges

What are the fields with 4 elements?

Awarded Nov 11, 2021 at 12:57

Andrés E. Caicedo

78.6k9 gold badges219 silver badges348 bronze badges

Probability of getting two pair in poker

Awarded Oct 18, 2021 at 20:20

Nick D.

2,4243 gold badges13 silver badges16 bronze badges

Topological group: Multiplying two loops is homotopic to linking these paths?

Awarded Oct 10, 2021 at 15:57

t.b.

77.6k10 gold badges269 silver badges340 bronze badges

Can I split $\frac{1}{a-b}$ into the form $f(a)+f(b)$?

Awarded Oct 4, 2021 at 13:46

Kavi Rama Murthy

310k20 gold badges89 silver badges170 bronze badges

What is the difference between partial and normal derivatives?

Awarded Oct 1, 2021 at 12:26

David K

95.9k8 gold badges78 silver badges207 bronze badges

Sum of series $\sum \limits_{k=1}^{\infty}\frac{\sin^3 3^k}{3^k}$

Awarded Sep 17, 2021 at 19:26

Khosrotash

23.7k4 gold badges41 silver badges77 bronze badges

2 3 4 5

…

9 Next