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how to show that $ ln (x^2 e^{-x(a-1)}+1) = O(x^2e^{-x(a-1)}) $

asymptotics taylor-expansion

modified 24 secs ago math_mx 10

3

votes

1

answer

157

views

Integration of differential forms - how to extend (and fix?) this intuition?

multivariable-calculus differential-geometry intuition exterior-algebra

modified 46 secs ago Faraad Armwood 7,429

6

votes

2

answers

54

views

For a continuous function $f$ satisfying $f(f(x))=x$ has exactly one fixed point

real-analysis analysis continuity fixed-point-theorems fixedpoints

modified 1 min ago SinTan1729 1,925

4

votes

1

answer

48

views

Minimum length of a nontrivial word in $[[F_n,F_n],F_n]$

group-theory free-groups combinatorial-group-theory

modified 1 min ago Shaun 7,412

2

votes

1

answer

7

views

Rewriting the Landau equation

proof-verification pde non-linear-dynamics

answered 2 mins ago Glitch 5,233

-2

votes

0

answers

6

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Help to solve $S_n + ax^{n+1} = a + xS_n$

calculus geometry algebraic-geometry

asked 3 mins ago Julio Romano 1

1

vote

2

answers

34

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Changing expectations into probability.

probability multivariable-calculus probability-distributions

answered 3 mins ago David K 48.2k

1

vote

1

answer

33

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What is the interval of convergence for power series

calculus convergence power-series

modified 5 mins ago JayTuma 1,008

3

votes

1

answer

21

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The fundamental group of semisimple group orbits

lie-groups topological-groups

modified 5 mins ago Itamar Vigi 172

3

votes

1

answer

13

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Proof Verification: Squeeze theorum

real-analysis limits proof-verification epsilon-delta

modified 6 mins ago mathcounterexamples.net 24.4k

1

vote

3

answers

26

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Find a polynomial $q \in \mathcal{P}_{2}(\mathbb{R})$ such that $p(\frac{1}{2}) = \int p(x)q(x) dx$

linear-algebra inner-product-space

answered 7 mins ago Batominovski 23.4k

0

votes

0

answers

15

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About $f:[0,1]\rightarrow \mathbb{R}$ integrable with $f \geq 0$, and $A_{t}=\{x\in [0,1]\mid t \leq f(x) \leq 2t\}$

real-analysis measure-theory lebesgue-integral

modified 7 mins ago Asaf Karagila♦ 292k

0

votes

0

answers

4

views

What is an absolutely conformal mapping?

terminology

asked 9 mins ago EulerSpoiler 29

0

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0

answers

4

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Volume form is parallel with respect to Levi-Civita connection

riemannian-geometry

asked 9 mins ago J. Salieri 314

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0

answers

24

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Lagrangian multipliers in the dual of semidefinite programs

convex-optimization lagrange-multiplier semidefinite-programming

modified 11 mins ago Rodrigo de Azevedo 12.6k

0

votes

0

answers

11

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$(ab)^p =(a^p)(b^p)$ for any two elements a,b in finite group G implies Sylow p-subgroup is unique

group-theory finite-groups normal-subgroups group-homomorphism

modified 12 mins ago Ahmad Bazzi 2,943

1

vote

1

answer

791

views

How to derive the dual of a semidefinite program (SDP)?

real-analysis convex-analysis convex-optimization duality-theorems semidefinite-programming

modified 15 mins ago Rodrigo de Azevedo 12.6k

1

vote

1

answer

46

views

How to prove the two identities

calculus abstract-algebra sequences-and-series multivariable-calculus binomial-theorem

modified 15 mins ago Fabio Lucchini 5,624

0

votes

2

answers

15

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A curve has equation $y=5-2x+x^2$ and a line has equation $y=2x+k$, where $k$ is a constant. Answer the question in the body of text below.

functions curves

modified 17 mins ago Ahmad Bazzi 2,943

0

votes

0

answers

10

views

What is the relationship between local ring and localization?

abstract-algebra algebraic-geometry commutative-algebra

asked 17 mins ago A beginer 23

0

votes

0

answers

7

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Pointwise convergence on dense set extension

real-analysis functional-analysis measure-theory compactness

asked 17 mins ago N00ber 105

0

votes

1

answer

17

views

What is the exact value of this : $5\int_{0}^{\infty}\exp(-x^2 \text{erf}(x))x^{\sin x+\frac12}$?

integration computational-mathematics pi wolfram-alpha

modified 18 mins ago joriki 165k

0

votes

0

answers

4

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Taking the surface integral $\int_{S_1(0)}y_jy_k \ d\sigma(y)$

calculus integration pde surfaces surface-integrals

asked 18 mins ago Guerlando OCs 486

2

votes

0

answers

17

views

Are there infinite many solutions of $\ \ |\varphi(n+1)-\varphi(n)|=2\ \ $?

number-theory elementary-number-theory totient-function

modified 18 mins ago Peter 45.1k

0

votes

0

answers

4

views

What is the calculation to find the total break time and work time using the Pomodoro technique?

arithmetic

asked 19 mins ago Victor Bureau 1

0

votes

0

answers

16

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Analyzing the trajectories of a rigid body in a 2D plot in MatLab, while varying its density

differential-equations graphing-functions matlab mathematical-modeling data-analysis

modified 20 mins ago Jalapeno Nachos 171

2

votes

0

answers

12

views

Generalization of “Characteristic subgroup of a normal subgroup is normal”

abstract-algebra group-theory

modified 20 mins ago Alan Wang 4,381

0

votes

0

answers

39

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Higher Order Minima of Multivariable Polynomials

real-analysis multivariable-calculus polynomials optimization

modified 22 mins ago Dmytro Taranovsky 416

7

votes

2

answers

115

views

A list of proofs of Fourier inversion formula

soft-question fourier-analysis fourier-transform

answered 24 mins ago DisintegratingByParts 55.8k

1

vote

0

answers

12

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Calculating the surface integral $\int_{S_1(0)}y_j \ d\sigma(y)$

calculus integration pde surfaces surface-integrals

modified 25 mins ago Guerlando OCs 486

1

vote

0

answers

3

views

What is the expressive power of $\Sigma_n^0$ over the language of Boolean functions?

logic first-order-logic computability

asked 26 mins ago Stella Biderman 26k

2

votes

1

answer

25

views

Find the Fourier series of the function: $f(x)=\begin{cases}x+1 & -1\leq x< 0,\\1-x &0\leq x< 1\end{cases},\;\;f(x+2)=f(x)$

calculus derivatives fourier-analysis fourier-series fourier-transform

modified 26 mins ago Ahmad Bazzi 2,943

-2

votes

0

answers

7

views

Number system(perfect squares)

number-theory

asked 27 mins ago Pankaj Tomar 1

0

votes

1

answer

21

views

Can we model max max with absolute value as an Quadratic Linear Program?

linear-programming mathematical-modeling operations-research

modified 28 mins ago user2512443 61

0

votes

0

answers

6

views

Laplace transform of $\sin(\pi|t-1|)$.

laplace-transform

modified 28 mins ago Nosrati 20.1k

0

votes

0

answers

6

views

Laurent series of $\zeta$ function around $\infty$?

riemann-zeta

modified 28 mins ago Szeto 4,216

0

votes

0

answers

11

views

Help solving Bigram Model with the following probabilities

probability

modified 29 mins ago Rrz0 101

1

vote

1

answer

25

views

Space quocient of Matrix Set

geometry riemannian-geometry surfaces hyperbolic-geometry

answered 30 mins ago Lee Mosher 45.7k

0

votes

0

answers

40

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Proof check : is there a flaw?

real-analysis proof-verification

modified 31 mins ago S.t.a.l.k.e.r 722

0

votes

0

answers

10

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Differential equation Fourier series solution, every even term should disappear but doesn't in my solution

differential-equations pde fourier-series

modified 32 mins ago Bernard 110k

0

votes

1

answer

17

views

Number with small non-divisors

elementary-number-theory

answered 33 mins ago Ross Millikan 276k

3

votes

2

answers

60

views

Does a generating function for $\zeta(2k+1)$ exist?

riemann-zeta

modified 34 mins ago Jack D'Aurizio♦ 270k

8

votes

1

answer

172

views

When is $\dim R_f = \dim R$?

commutative-algebra localization krull-dimension

modified 35 mins ago user26857 38.7k

0

votes

0

answers

3

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Stationary phase approximation on general measure space?

real-analysis measure-theory reference-request asymptotics

asked 36 mins ago Mike Hawk 667

0

votes

0

answers

9

views

Representation of the diagonal of a group in terms of product of subgroups?

group-theory

asked 36 mins ago user 170039 10.2k

0

votes

0

answers

9

views

How this operation (Operator to matrix) is called?

linear-algebra matrices operator-theory terminology mathematical-physics

asked 37 mins ago KYHSGeekCode 126

-1

votes

0

answers

5

views

Formal term for sets of line segments

geometry terminology

asked 38 mins ago bblohowiak 1

0

votes

0

answers

15

views

Proving that the following convergence is uniform over compact sets of $\mathbb{D}$

complex-analysis

modified 38 mins ago Jack D'Aurizio♦ 270k

1

vote

0

answers

21

views

injective envelope of Banach spaces

functional-analysis banach-spaces injective-module

modified 46 mins ago Gero 208

1

vote

0

answers

61

views

Why does $\frac{\sin x}{x}$ have no anti-derivative

calculus trigonometric-integrals

modified 51 mins ago Empty 7,818

0

votes

1

answer

14

views

How can I project a vector onto a plane from a particular perspective?

vectors projection

modified 55 mins ago Jeffrey Cordova 3

0

votes

3

answers

30

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Finding $(\alpha - \gamma)(\alpha - \delta)$ if they are roots of given quadratic equations

algebra-precalculus polynomials roots quadratics

modified 58 mins ago Abhas Kumar Sinha 102

106

votes

16

answers

7k

views

Division by $0$

algebra-precalculus arithmetic

answered 59 mins ago Chris Custer 5,508

1

vote

0

answers

15

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Orthogonal Complements in arbitrary Normed Spaces

functional-analysis vector-spaces orthogonality

modified 1 hour ago joriki 165k

2

votes

1

answer

17

views

Classify the Latin alphabet in n-dimensional spaces

general-topology differential-geometry

answered 1 hour ago Daniel Mroz 861

1

vote

2

answers

22

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find the coordinates of the area of the largest isosceles triangle that can be inscribed in an ellipsoid

geometry lagrange-multiplier

modified 1 hour ago Jack D'Aurizio♦ 270k

3

votes

1

answer

76

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Prove that $F(b)-F(a)\geq \int_a^b F'(t)dt$ if $F$ is increasing

real-analysis measure-theory lebesgue-integral lebesgue-measure

modified 1 hour ago user557902851 407

0

votes

1

answer

14

views

About determining whether the statements are true or false

discrete-mathematics

modified 1 hour ago Nash J. 1,057

1

vote

0

answers

10

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Prove that the following function is Riemann-integrable, directly from the definition.

real-analysis proof-verification riemann-integration

modified 1 hour ago Math_QED 6,373

0

votes

0

answers

9

views

find all the double cosets $AxA$ of $A$ in $G.$

abstract-algebra

asked 1 hour ago Messi fifa 171

0

votes

2

answers

16

views

Writing equations that represent 3D and 2D objects

functions 3d

modified 1 hour ago mathreadler 13.6k

5

votes

1

answer

41

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Why is homology functor additive?

category-theory homology-cohomology homological-algebra

answered 1 hour ago Giorgio Mossa 13.3k

0

votes

0

answers

8

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Deck transformation of a branched covering

riemann-surfaces covering-spaces branch-points

asked 1 hour ago Troshkin Michael 48

2

votes

1

answer

32

views

A finite alternate binomial sum with finite value (modulo 6)

combinatorics binomial-coefficients

modified 1 hour ago Marko Riedel 36.5k

1

vote

1

answer

29

views

Find the number of combination of 'n' together of '3n' letters

combinatorics permutations

answered 1 hour ago joriki 165k

0

votes

0

answers

3

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Equivalence of two large deviation statements

large-deviation-theory

asked 1 hour ago jaogye 420

0

votes

0

answers

10

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system reliability, probabilities of rocket launch suspended

probability reliability

asked 1 hour ago D.g 1

0

votes

0

answers

11

views

Function of limit inf and limit inf of a function

real-analysis probability sequences-and-series functional-analysis measure-theory

asked 1 hour ago James Green 42

3

votes

1

answer

27

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Conditional expectation in free probability

probability-theory operator-theory operator-algebras

modified 1 hour ago Martin Argerami 116k

6

votes

1

answer

57

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A Hodge dual computation on a $4$-dimensional Riemannian manifold

differential-geometry riemannian-geometry differential-forms exterior-algebra 4-manifolds

answered 1 hour ago Uldreth 2,998

2

votes

1

answer

28

views

the definition of normal vector

probability measure-theory probability-distributions normal-distribution

modified 1 hour ago tmaths 902

3

votes

3

answers

3k

views

Counting $4$-digits numbers whose digits sum is $9$

combinatorics elementary-number-theory

modified 1 hour ago steven gregory 16.5k

2

votes

1

answer

45

views

I really don't know what else I can do to solve this integral.

integration trigonometry definite-integrals closed-form

answered 1 hour ago Jack D'Aurizio♦ 270k

0

votes

1

answer

25

views

Show uniform convergence of series with |x|

sequences-and-series uniform-convergence

answered 1 hour ago Julián Aguirre 64.8k

0

votes

0

answers

12

views

What is the point of completing a Boolean algebra?

general-topology boolean-algebra descriptive-set-theory

asked 1 hour ago puzzled 109

1

vote

1

answer

21

views

Generating Function and Laguerre Polynomials.

differential-equations polynomials generating-functions

modified 1 hour ago Jack D'Aurizio♦ 270k

4

votes

0

answers

44

views

What is the the sum of orders of all elements of $S_n$?

combinatorics group-theory finite-groups permutations symmetric-groups

asked 1 hour ago Yanior Weg 1,096

0

votes

0

answers

12

views

Example of a planar poset which is not “strongly planar”.

discrete-mathematics examples-counterexamples order-theory

modified 1 hour ago M47145 3,206

0

votes

0

answers

10

views

boundary imply positivity of solution

differential-equations

modified 1 hour ago Jonathan Kiersch 70

1

vote

1

answer

20

views

Finite difference method for non-linear PDE

pde numerical-methods transport-equation

modified 2 hours ago Harry49 4,721

2

votes

2

answers

20

views

$A'$ Set Of All Accumulation Points Is Closed

general-topology

answered 2 hours ago egreg 164k

0

votes

1

answer

23

views

Proving a system of equations has solutions based on knowing the determinant

systems-of-equations determinant

modified 2 hours ago James 1,407

1

vote

0

answers

16

views

surface area of solid revolution by integration without technology

integration discrete-mathematics definite-integrals solid-of-revolution

modified 2 hours ago Jneven 528

2

votes

0

answers

36

views

Prove that Lei-Lin space is a Banach space

functional-analysis banach-spaces

modified 2 hours ago AlphaXY 728

0

votes

0

answers

8

views

Is this an hypoelliptic operator?

real-analysis pde regularity-theory-of-pdes elliptic-equations elliptic-operators

asked 2 hours ago Rajesh Dachiraju 1,427

0

votes

0

answers

9

views

Injective differential of linear operators on a Hilbertspace

matrices derivatives manifolds

modified 2 hours ago Alpha001 103

3

votes

1

answer

38

views

Derivative of inverse function proof verification

real-analysis limits derivatives proof-verification continuity

answered 2 hours ago kelvin hong 方 102

0

votes

2

answers

4k

views

Displacement vectors

physics

modified 2 hours ago Community♦ 1

2

votes

1

answer

12

views

Probability conditioned on a zero chance event.

probability

modified 2 hours ago drhab 86.8k

0

votes

0

answers

12

views

A Hilbert-style proof that $\Gamma \vdash A \Rightarrow \Gamma \vdash B \Longleftrightarrow \Gamma \vdash A \to B$

proof-explanation propositional-calculus hilbert-calculus

asked 3 hours ago StudentType 591

0

votes

0

answers

14

views

extracting a basic sequence from non relatively compact set

functional-analysis

modified 3 hours ago Bernard 110k

2

votes

2

answers

89

views

How to solve this kind of nonlinear differential equation?

differential-equations

modified 3 hours ago Isham 10.7k

4

votes

1

answer

40

views

Atiyah's K Theory, pg 4

general-topology algebraic-topology k-theory

answered 3 hours ago Bananeen 596

1

vote

0

answers

15

views

Generators of the first homology group of a hyperelliptic curve.

algebraic-topology homology-cohomology algebraic-curves riemann-surfaces

asked 3 hours ago merle 68

4

votes

1

answer

47

views

For any $n$ there's a power of $2$ which contains $n$

number-theory elementary-number-theory pigeonhole-principle

answered 3 hours ago Isaac Browne 3,761

0

votes

4

answers

75

views

How to do I solve the number of cases for which $ad - bc$ is equal to one and $ad$, $bc$ are not equal to $0$?

abstract-algebra group-theory proof-verification

modified 3 hours ago Community♦ 1

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