Skip to main content
Mathematics

Explore our questions

Ask Question
more tags
Interesting 16 Bountied Hot Week Month
1 vote
1 answer
40 views

derivative of integral of a function with respect to the same function

Abezhiko's user avatar
Abezhiko
  • 15.1k
0 votes
0 answers
9 views

Cycles and terminating sequences in the recurrence $N_{k+1}=N_k-\operatorname{rev}(N_k)$.

projectilemotion's user avatar
projectilemotion
  • 15.9k
2 votes
2 answers
78 views

Calculation of lower branch of Lambert W-function based on root of principal branch

njuffa's user avatar
njuffa
  • 2,283
0 votes
0 answers
7 views

When a cubic irrational can be written in terms of two nonnegative powers?

mezzoctane's user avatar
mezzoctane
  • 1,740
-1 votes
1 answer
94 views

Why does $x^\circ \approx 14 + 29\tan x^\circ$ work so well for $30\leq x\leq55$?

naturallyInconsistent's user avatar
naturallyInconsistent
  • 367
0 votes
0 answers
39 views

A question on Remark A.1.2.8 in Higher Topos Theory

Ben Steffan's user avatar
Ben Steffan
  • 10.8k
27 votes
4 answers
7k views
+100

Prove the inequality $\frac{b+c}{a(y+z)}+\frac{c+a}{b(z+x)}+\frac{a+b}{c(x+y)}\geq \frac{3(a+b+c)}{ax+by+cz}$

River Li's user avatar
River Li
  • 51.3k
2 votes
1 answer
85 views

Simplify expression for lemniscate tangent function

user1658693's user avatar
user1658693
  • 63
142 votes
30 answers
60k views

Proofs of AM-GM inequality

ecbc's user avatar
ecbc
  • 11
-1 votes
1 answer
109 views

Two conics with $e \ge 1$ are tangent at 2 points. The conic with the greater eccentricity lies on the "outside"

hbghlyj's user avatar
hbghlyj
  • 6,295
2 votes
1 answer
52 views

Do real plane algebraic curves have a factorization corresponding to connected components?

hbghlyj's user avatar
hbghlyj
  • 6,295
0 votes
1 answer
40 views

Proof of some binomial identities

Bhaskar Vashishth's user avatar
Bhaskar Vashishth
  • 11.8k
0 votes
0 answers
158 views
+50

$\Omega^1_{k[[X]]/k}$ is not finitely generated over $k[[X]]$

Stanis LaRochelle's user avatar
Stanis LaRochelle
  • 283
1 vote
1 answer
2k views

Probability of Guessing a Code

Community's user avatar
CommunityBot
  • 1
2 votes
0 answers
79 views

Does the Impossible Cube isometric embed geodesic in Nil geometry just as the Penrose triangle is a geodesic triangle in Nil geometry?

hbghlyj's user avatar
hbghlyj
  • 6,295
0 votes
0 answers
7 views

Question on Stokes phenomenon in Picard-Lefschetz theory

schris38's user avatar
schris38
  • 331
4 votes
1 answer
73 views

Why are these two quotient spaces homeomorphic?

Dennis's user avatar
Dennis
  • 2,764
0 votes
2 answers
33 views

Topologist's Comb: why can't you produce a deformation retraction to a point on one of the teeth?

freakish's user avatar
freakish
  • 47.8k
3 votes
2 answers
158 views

For which functions $f$ is $\displaystyle \int_{t_0}^t f(s)\exp(s) ds$ solvable in elementary functions?

Marco's user avatar
Marco
  • 4,005
13 votes
1 answer
427 views

Help with $\int_{0}^{\pi /4} x^3 (\sqrt{\tan (x)} + \sqrt{\cot (x)}) dx$

Mariusz Iwaniuk's user avatar
Mariusz Iwaniuk
  • 6,823
5 votes
2 answers
155 views

Getting different answers evaluating $ \int_{-1}^{1} \frac{\sin(\cot^{-1}x) + \cos(\tan^{-1}x)}{x^2 + 1}\,\mathrm{d}x$ with different identities

Angelo's user avatar
Angelo
  • 14.5k
1 vote
1 answer
1k views

Calculating the expected difference in observations

Community's user avatar
CommunityBot
  • 1
3 votes
1 answer
140 views

Converting an elliptic curve to Edwards form

Jan-Magnus Økland's user avatar
Jan-Magnus Økland
  • 6,089
8 votes
10 answers
649 views

Evaluate $\int_0^{\frac\pi2}\frac{\mathrm dx}{a\sin ^2x+b\cos ^2x}$ without using its antiderivative

Lai's user avatar
Lai
  • 33.2k
0 votes
1 answer
34 views

Why is $\pi_{0} \left(G \right)$ a discrete and countable Lie group

Pauli's user avatar
Pauli
  • 1,182
0 votes
3 answers
308 views

How to show that $p_{K}(x)<1$ iff $x$ is an interior point of convex set $K.$

Roberto Rastapopoulos's user avatar
Roberto Rastapopoulos
  • 421
7 votes
5 answers
599 views

$E[X_T]$ for $T=\min\{n: \sum_{i=1}^nX_i\geq1\}$ where $X_i\sim U[0,1]$.

Letac Gérard's user avatar
Letac Gérard
  • 4,033
1 vote
1 answer
769 views

Is the negation of on injective and surjective statements

Community's user avatar
CommunityBot
  • 1
0 votes
1 answer
72 views
+50

Is Riemann integrability of Banach-valued functions preserved under uniform limits?

peek-a-boo's user avatar
peek-a-boo
  • 68.4k
3 votes
2 answers
139 views

Easy approach for the expected number of dice throws to achieve a run of identical numbers

true blue anil's user avatar
true blue anil
  • 49.7k
2 votes
2 answers
128 views

Double integration with $\log$

Bhaskar Vashishth's user avatar
Bhaskar Vashishth
  • 11.8k
6 votes
5 answers
28k views

As many even numbers as natural numbers.

Bill Dubuque's user avatar
Bill Dubuque
  • 285k
2 votes
0 answers
11 views

Conditional convergence of uniformly integrable submartingale?

Bart's user avatar
Bart
  • 1,495
1 vote
2 answers
116 views

Statistics: Using Stirling's Approximation with $3 N$

Lee Davis-Thalbourne's user avatar
Lee Davis-Thalbourne
  • 562
1 vote
1 answer
756 views

Stochastic differential equations vs stochastic initial conditions

Community's user avatar
CommunityBot
  • 1
1 vote
0 answers
28 views

$(X, \Sigma, \mu)$ finite measure space and $(f_n)_{n\in\mathbb{N}}$ is sequence in $L^p(X)$. If $f_n \to f$ uniformly on $X$, then $f \in L^p(X)$.

John Pi's user avatar
John Pi
  • 163
42 votes
3 answers
5k views

How is Gosper's approximation to factorial derived?

DroneBetter's user avatar
DroneBetter
  • 717
0 votes
0 answers
18 views

On the branch cut selection for evaluating a Gaussian integral with complex exponent

Aria's user avatar
Aria
  • 440
0 votes
0 answers
13 views

Decreasing rearrangement is nonexpansive

user124910's user avatar
user124910
  • 3,357
3 votes
0 answers
48 views

Is a compact subspace of a quotient of a topological vector space contained in the image of a compact subspace of the original space?

Elia Immanuel Auer's user avatar
Elia Immanuel Auer
  • 5,008
6 votes
1 answer
174 views

How fast can I guarantee convergence on a compact interval?

Nate Eldredge's user avatar
Nate Eldredge
  • 102k
4 votes
4 answers
1k views

$\gcd(a,b)=1, x^a = y^b\Rightarrow x = n^b$, $ y = n^a$ for an integer $n$.

Bill Dubuque's user avatar
Bill Dubuque
  • 285k
13 votes
3 answers
508 views

Compare $\log_5(\log_4 3)$ and $\log_6(\log_6 3)$

ryang's user avatar
ryang
  • 45.3k
2 votes
1 answer
78 views

Where do logarithmic functions fit in the order of operations? Eg, is "$\ln2x$" equivalent to $\ln(2x)$ or to $(\ln2)(x)$?

ryang's user avatar
ryang
  • 45.3k
3 votes
1 answer
147 views

Use Beta function to find integral $\int_{0}^{1}\frac{\ln(x)\ln(1-x)}{x(1-x)}dx$

Claude Leibovici's user avatar
Claude Leibovici
  • 298k
0 votes
0 answers
31 views

What mathematical physics directions are recommended if I prefer algebra over geometry?

Regulus's user avatar
Regulus
  • 81
2 votes
1 answer
762 views

Proof about twice differentiable function.

Community's user avatar
CommunityBot
  • 1
0 votes
0 answers
192 views

Deriving the formula $M= \frac {Ar(1+r)^n}{(1+r)^n-1}$ for the monthly payment $M$ of a mortgage $A$ with interest rate $r$, using $n$ payments

Blue's user avatar
Blue
  • 85.6k
4 votes
1 answer
427 views

Acyclic Model Theorem

John Palmieri's user avatar
John Palmieri
  • 9,586
3 votes
3 answers
234 views

Simplify into reduced form

user21820's user avatar
user21820
  • 61.4k
0 votes
1 answer
762 views

How to linearly extrapolate a quantity correctly?

Community's user avatar
CommunityBot
  • 1
2 votes
1 answer
48 views

Perturbative expansion of eigenvalues

Chris Grossack's user avatar
Chris Grossack
  • 43.4k
3 votes
2 answers
198 views

How to prove : $\{ (2+\sqrt3)^n\} = 1 -(2-\sqrt3)^n$

fleablood's user avatar
fleablood
  • 134k
1 vote
0 answers
55 views

Down-to-earth definition of "genus".

142857's user avatar
142857
  • 91
2 votes
1 answer
780 views

Inversion of power series computational formula

Community's user avatar
CommunityBot
  • 1
2 votes
1 answer
63 views

Do non-GNS representations of C*-algebras exist?

David Gao's user avatar
David Gao
  • 25.8k
3 votes
0 answers
137 views
+50

Creative Alternatives to Vieta's formulas/Newton's identities

Maxime Jaccon's user avatar
Maxime Jaccon
  • 5,521
1 vote
1 answer
64 views

Test the convergence of a series arising from birth-death processes

The Other Terry's user avatar
The Other Terry
  • 1,999
1 vote
3 answers
188 views

Hints on evaluating $\int_{0}^{k} x J_{n}^2(x) dx$

Dhaval Bothra's user avatar
Dhaval Bothra
  • 104
0 votes
0 answers
121 views

Diophantine equation $x^3 + y^3 + z^3 = 2$

Somos's user avatar
Somos
  • 37.7k
3 votes
0 answers
88 views
+50

Expected number of lattice points in a randomly inscribed triangle

OscarTheGrumpyGrouch's user avatar
OscarTheGrumpyGrouch
  • 50
0 votes
2 answers
2k views

Number of possible outcomes in which at least one die shows $5$

Community's user avatar
CommunityBot
  • 1
4 votes
0 answers
75 views

Prove that the number of sign changes $\sim x^{3/4}$ (square-free integers)

Maxime Jaccon's user avatar
Maxime Jaccon
  • 5,521
5 votes
1 answer
762 views

Punctured complex projective space

Community's user avatar
CommunityBot
  • 1
1 vote
1 answer
170 views

$ \int _{k_1}^{k_2}f(x)dx=f(r)(k_1-k_2)$

Chicori's user avatar
Chicori
  • 3,434
2 votes
1 answer
210 views

integral inequality involving $\sup|f'|$

Chicori's user avatar
Chicori
  • 3,434
0 votes
0 answers
14 views

Functor from the category of finitely generated modules of a bound quiver algebra to the category of finite-dimensional bound quiver representations

Meier_Kreis's user avatar
Meier_Kreis
  • 11
3 votes
2 answers
754 views

Generating probability distribution function from continuous data

Community's user avatar
CommunityBot
  • 1
0 votes
1 answer
89 views

Prove triangle $\triangle AED$ is isosceles if the tangents of point $P$ outside circle $ABC$ are drawn

Chicori's user avatar
Chicori
  • 3,434
1 vote
2 answers
125 views

Find the number of quadruples of non negative integers $(a,b,c,d)$ such that $105a + 70b + 42c + 30d = 2025$

RobPratt's user avatar
RobPratt
  • 52.5k
7 votes
5 answers
332 views

Are there any other special mathematical definitions like $0! =1$ to ensure consistent and valid results?

Chicori's user avatar
Chicori
  • 3,434
1 vote
0 answers
39 views

similar to a classical geometry result

moshpit's user avatar
moshpit
  • 11
2 votes
0 answers
117 views

Is there a good reason why regular n-gon geometry would appear in the zeroes of the Riemann zeta function?

KReiser's user avatar
KReiser
  • 76.4k
1 vote
0 answers
19 views

How to find a fibre metric associated with an Ehresmann Connection?

Horned Sphere's user avatar
Horned Sphere
  • 817
10 votes
2 answers
500 views

Existence of a Linear Recurrence Modulo $p$ with Period $p^2 - 1$

Ambrose Rutherford's user avatar
Ambrose Rutherford
  • 29
0 votes
1 answer
60 views

Behaviour of sequence defined by recurrence

Lucien Jaccon's user avatar
Lucien Jaccon
  • 924
0 votes
1 answer
97 views

Proof of uniformly continuity in "Introduction to Analysis" by Teiji Takagi.

Paul Frost's user avatar
Paul Frost
  • 92.7k
1 vote
0 answers
27 views

field extensions of incomplete fields with regard to an absolute value (valuation)

J. W. Tanner's user avatar
J. W. Tanner
  • 64.6k
3 votes
1 answer
196 views

Kinematics of gravity in a non uniform field

138 Aspen's user avatar
138 Aspen
  • 1,452
3 votes
1 answer
152 views

How to prove that $n=7$

Kernel Sanders's user avatar
Kernel Sanders
  • 2,447
22 votes
2 answers
20k views

Correspondence theorem for rings.

Kernel Sanders's user avatar
Kernel Sanders
  • 2,447
2 votes
1 answer
828 views

How to write the following expression in index notation?

Community's user avatar
CommunityBot
  • 1
1 vote
0 answers
43 views

Finite CW complexes that are infinite loop spaces

RobPratt's user avatar
RobPratt
  • 52.5k
0 votes
0 answers
11 views

Generalizing the Bellissard non-commutative approach for disordered systems to Hamiltonians of self-similar fractal graphs

ml0.0 lm's user avatar
ml0.0 lm
  • 1
-2 votes
1 answer
33 views

Why elements of a (Lie) algebra act on the algebra, in the adjoint representation?

tkf's user avatar
tkf
  • 15.6k
0 votes
0 answers
13 views

Question about my conclusions from Poisson Point Processes axioms

Mhafez's user avatar
Mhafez
  • 1
2 votes
1 answer
85 views

No periodic orbit using Bendixon's criteria

Gonçalo's user avatar
Gonçalo
  • 16.6k
3 votes
0 answers
54 views

Bound on Jacobi field

Zheng L.'s user avatar
Zheng L.
  • 325
1 vote
0 answers
23 views

Formulas to find out the critical limit of decomposing numbers

Lê Phúc's user avatar
Lê Phúc
  • 11
1 vote
1 answer
28 views

A condition for strong resolvent convergence and the condition that $\mathcal{D}$ is a simultaneous core

Bruno B's user avatar
Bruno B
  • 8,365
0 votes
0 answers
31 views

Perturbation of linear recurrence

Fly in the wind's user avatar
Fly in the wind
  • 1
20 votes
3 answers
6k views

Radon-Nikodym derivative of product measure

RobPratt's user avatar
RobPratt
  • 52.5k
2 votes
0 answers
23 views

Setting of speed on the vortex sheet and its (possible) relation to the Rankine-Hugoniot condition

A rural reader's user avatar
A rural reader
  • 3,004
1 vote
0 answers
28 views

Stationary state in interacting particle systems

user235410's user avatar
user235410
  • 11
0 votes
0 answers
17 views

Right exactness of a certain functor on $S$-modules

ondwats's user avatar
ondwats
  • 162
4 votes
1 answer
756 views

Adjoint action on universal enveloping algebra

Community's user avatar
CommunityBot
  • 1
Browse more Questions