Mathematics Stack Exchange

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0

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8

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Zeroes of $x^{p^n} - x$ are distinct in splitting field of $\mathbb{F}_p$

field-theory galois-theory splitting-field

modified 2 mins ago RobPratt 21.7k

8

votes

1

answer

105

views

Show there exists no diffeomorphism between positive real line and a spiral

analysis derivatives differential-geometry differential-topology

modified 3 mins ago Matematleta 24.4k

0

votes

1

answer

12

views

Rudimentary Infinite Series question

calculus

modified 3 mins ago no lemon no melon 1,291

1

vote

1

answer

20

views

Is the image of closed unit ball under the linear operator closed?

functional-analysis banach-spaces compact-operators adjoint-operators

answered 6 mins ago thing 1,265

1

vote

0

answers

48

views

Is There an Abel-plana-type Exact Formula for the Imaginary Part of the Oscillatory Integral over Exp(iπx)x^(1/x) Between 1 and Infinity?

sequences-and-series definite-integrals improper-integrals

modified 7 mins ago Marvin Ray Burns 267

1

vote

2

answers

18

views

Existence of specific non-symplectic manifolds

differential-geometry symplectic-geometry

answered 8 mins ago Zippy 81

0

votes

0

answers

6

views

Rolling a die. Math problem

probability combinatorics probability-theory statistics discrete-mathematics

asked 8 mins ago bonny 11

1

vote

2

answers

42

views

Prove that a sequence converges iff that same sequence, minus the first m elements, also converges

real-analysis

modified 9 mins ago StatsNovice 31

-1

votes

1

answer

11

views

Finding the determinant of unknown matrix

linear-algebra matrices determinant

modified 10 mins ago J. W. Tanner 54.6k

4

votes

1

answer

105

views

Determining a polynomial $p$ from its image of rationals.

abstract-algebra polynomials rational-numbers

modified 10 mins ago Viktor Vaughn 15.7k

0

votes

1

answer

23

views

Express a problem as function/sets

combinatorics discrete-mathematics functions elementary-set-theory permutations

modified 10 mins ago zzzz zazaza 23

1

vote

0

answers

9

views

Aproximating function by polynomials of degree at least $2$.

real-analysis polynomials uniform-convergence

asked 12 mins ago Carlos Jiménez 3,244

0

votes

0

answers

6

views

representable functors and finitely generated algebras

algebraic-geometry commutative-algebra representable-functor

asked 13 mins ago S.Gau at Math 750

0

votes

0

answers

7

views

Why the limit of $\sqrt{n}$ sample variance is variance?

statistics normal-distribution

asked 13 mins ago Yichuan 1

1

vote

1

answer

17

views

Give an example of sets $E_n$ that satisfy part (a) and also satisfy $\bigcap^\infty_{n=1} E_n= \emptyset$

analysis cauchy-sequences

modified 14 mins ago J. W. Tanner 54.6k

0

votes

0

answers

16

views

Cosine Series of $-\frac{1}{5}\sin x$ on $[0,\pi]$

calculus partial-differential-equations fourier-series

modified 14 mins ago Amaan M 1,896

0

votes

0

answers

4

views

What's the uncertainty on the standard deviation for grouped data?

standard-deviation descriptive-statistics

asked 15 mins ago jackzip 13

0

votes

0

answers

13

views

(Linear Algebra) What is a fixed polynomial of degree 2?

polynomials

asked 17 mins ago BrodinRoden 1

2

votes

0

answers

12

views

Let $n=pq,$ where $p$ and $q$ are distinct primes. How many numbers $a \in \{1, 2, …, n\}$ satisfy $a^{n-1} = 1 \mod n$?

number-theory

modified 18 mins ago haidangel 1,530

0

votes

0

answers

12

views

For a given function $f: [3, 4] \to \mathbb{R}$ we define the function g by a rule $g(x) = f(x+x^{-1})$

real-analysis

asked 19 mins ago Niki Sedlarević 369

1

vote

0

answers

16

views

Show that $m^{}([a, b]\backslash G)=b − a- m^{}{(G)}$

measure-theory proof-explanation lebesgue-measure outer-measure

modified 20 mins ago haidangel 1,530

0

votes

0

answers

3

views

finer topology and topology induced by norms

general-topology metric-spaces matrix-norms

asked 20 mins ago ask 1234 71

1

vote

0

answers

11

views

Does there exist a differentiable function from R^3 to R whose zeros are a line?

multivariable-calculus

asked 20 mins ago sykh 845

1

vote

1

answer

33

views

Are periodic tilings stable against defects outside of some region away from the defect?

discrete-mathematics reference-request tiling

modified 21 mins ago RavenclawPrefect 7,983

1

vote

0

answers

7

views

Independent probabilities of four events

probability probability-distributions

asked 21 mins ago Lilian Crow 67

6

votes

1

answer

114

views

+50

Proving a functional inequality in dimension 1

inequality functional-inequalities

modified 22 mins ago haidangel 1,530

0

votes

0

answers

12

views

Closure of the image of generic point

algebraic-geometry

asked 27 mins ago finiteness 719

0

votes

1

answer

13

views

Find the equation to the tangent to the curve $y=x^3$ at point (2,8)

calculus

answered 28 mins ago Wynne Liu 39

0

votes

0

answers

7

views

Show that this set of equations has no real solutions

systems-of-equations

asked 28 mins ago justadumbguy 97

1

vote

2

answers

15

views

Show Lipschitz condition for $f(x) = x+|x|$

lipschitz-functions

modified 29 mins ago DalatKarelia 815

0

votes

0

answers

4

views

Proof that the greedy for minimum coin change is correct

discrete-mathematics algorithms induction data-structure

asked 29 mins ago ǝrroɹ 27

0

votes

0

answers

7

views

How can I show that an element does not belong to a certain ideal?

abstract-algebra ring-theory ideals

asked 31 mins ago Akash Narayanan 1

0

votes

0

answers

3

views

are the solutions to a continuous piecewise quadratic equation necessarily also continuous and piecewise?

piecewise-continuity implicit-function

asked 32 mins ago Ack 1

1

vote

1

answer

13

views

Prove GCD statement with multiple variables

proof-writing induction gcd-and-lcm integers

answered 33 mins ago fleablood 110k

0

votes

0

answers

7

views

Proof of Folland Lemma 3.2

measure-theory

asked 34 mins ago Kade 71

0

votes

1

answer

21

views

Colouring of lines in a polygon to find relations between people at a party

combinatorics graph-theory coloring

modified 36 mins ago RobPratt 21.7k

1

vote

0

answers

17

views

If $G$ is a connected graph, then $G$ contains an Euler circuit if and only if every vertex has even degree (Misunderstanding of terminology).

graph-theory eulerian-path

modified 37 mins ago RobPratt 21.7k

0

votes

0

answers

8

views

Analytic methods of computing entrywise absolute values of matrices

linear-algebra matrices

modified 37 mins ago Jandré Snyman 520

1

vote

1

answer

22

views

Representations of a semigroup over a Hilbert space

operator-algebras c-star-algebras semigroups semigroup-of-operators noncommutative-geometry

modified 38 mins ago Ruy 9,003

1

vote

0

answers

8

views

Using Cholesky Decomposition iteratively to find eigenvalues

linear-algebra numerical-linear-algebra cholesky-decomposition

modified 39 mins ago RobPratt 21.7k

1

vote

0

answers

10

views

Set up an iteration scheme to solve $\frac{{\rm d}x}{{\rm d}t}= tx^{2}+ x^{3}, x(0)= 1,$ take $\delta< 1/5$

analysis

modified 39 mins ago haidangel 1,530

1

vote

0

answers

27

views

How can I prove that this language is context free?

discrete-mathematics regular-language context-free-grammar

modified 40 mins ago haidangel 1,530

2

votes

0

answers

106

views

+50

Two problems involving a symmetric non–negative polynomial on subset $\left [ 1, 2 \right ]^{3}$

terminology problem-solving intuition substitution functional-inequalities

modified 40 mins ago haidangel 1,530

1

vote

0

answers

9

views

Definite integrals and infinite sums with known (conjectured) closed forms but no proof

sequences-and-series definite-integrals closed-form

asked 41 mins ago Pavlo. B. 11

0

votes

1

answer

18

views

How many outcomes are possible?

probability combinatorics probability-theory statistics discrete-mathematics

answered 41 mins ago chary 21

0

votes

1

answer

22

views

Uniform Problem - Expected Value

probability-theory probability-distributions uniform-distribution

modified 44 mins ago BruceET 45.1k

0

votes

0

answers

28

views

$A$ is $p\times n$, $B$ is $q\times n$, what can we say about Systems $1$ and $2$ of equations?

linear-algebra matrices systems-of-equations

modified 45 mins ago strawberry-sunshine 4,161

0

votes

0

answers

9

views

Do I need to convert a data set into a probability distribution before feeding it into a Monte Carlo simulation?

sampling monte-carlo

modified 46 mins ago Gili 141

-2

votes

0

answers

9

views

4 digit code probability

probability permutations combinations

asked 46 mins ago bronx 1

1

vote

0

answers

5

views

How to count/enumerate equivalent colorings

combinatorics group-theory set-theory equivalence-relations polya-counting-theory

asked 46 mins ago dimoxinil 11

1

vote

2

answers

23

views

Use Schur to prove that for any norm $\lim_{n \rightarrow \infty} ||A^n|| = 0 \text{ iff } \rho(A) < 1$ where $\rho$ denotes spectral radius.

linear-algebra numerical-linear-algebra

answered 46 mins ago user1551 108k

0

votes

0

answers

27

views

Why not the easier format for the derivatives of inverse functions

algebra-precalculus trigonometry soft-question inverse

modified 47 mins ago Light Yagami 3,305

0

votes

0

answers

10

views

Commutative Hopf algebra as a smash product

hopf-algebras algebras quantum-groups

modified 52 mins ago JPhy 1,385

1

vote

0

answers

23

views

Getting Mixed Up With Limit Notation and Sequence Notation.

real-analysis

asked 53 mins ago GrayLiterature 209

2

votes

1

answer

20

views

Why do these two equivalent equations have different implicit differentiations?

calculus derivatives implicit-differentiation

modified 57 mins ago DMcMor 7,364

0

votes

0

answers

16

views

Existence of metrics for positive scalar curvature on Riemannian 3-manifolds

differential-geometry riemannian-geometry general-relativity

modified 1 hour ago Naarayan 1

1

vote

1

answer

42

views

How to represent an open interval as a single closed interval

real-analysis

modified 1 hour ago StatsNovice 31

-2

votes

0

answers

9

views

How do i solve the following questions in the picture about combinations.

combinatorics permutations combinations

asked 1 hour ago HUH JAMES 1

0

votes

0

answers

3

views

Determine whether one to one or onto (with indicator function)

functions

asked 1 hour ago noch 1

1

vote

1

answer

30

views

Unique solution in a quasi-convex optimization problem?

optimization convex-analysis convex-optimization non-convex-optimization

answered 1 hour ago asun 106

3

votes

1

answer

33

views

Axiomatic proof in S4

answered 1 hour ago Alex Kruckman 47.5k

0

votes

1

answer

27

views

Derivatives of parametric curve

calculus

answered 1 hour ago Bright Star 219

0

votes

0

answers

14

views

The genus of the following algebraic curve(tetragonal curve)

algebraic-geometry algebraic-curves riemann-surfaces

asked 1 hour ago Jia Minxin 31

0

votes

0

answers

12

views

how to model introduction of wolves to population growth model for deer?

calculus integration differential

asked 1 hour ago tom 3

0

votes

1

answer

15

views

How do I prove that the cross product follows the right hand rule for vectors in the xz plane?

proof-explanation cross-product

answered 1 hour ago David K 75.6k

0

votes

1

answer

14

views

Why does the fixed point method rely on the derivative of the root for convergence or divergence?

numerical-methods fixed-point-theorems

answered 1 hour ago aschepler 2,572

3

votes

0

answers

50

views

+100

For a non-vanishing field $X$ and $a\in C^1(\mathbb R^n;\mathbb C)$, how to reduce the study of $X\cdot \nabla u +au= f$ to the study of $Xv=g$?

real-analysis complex-analysis partial-differential-equations characteristics hyperbolic-equations

modified 1 hour ago Calvin Khor 26.3k

-1

votes

0

answers

17

views

build a population growth model

complex-analysis

modified 1 hour ago Henry Pang 1

1

vote

0

answers

7

views

The Cross Ratio of a Mobius Transformation - Definition Clarification

complex-analysis conformal-geometry mobius-transformation

asked 1 hour ago eightc 258

0

votes

0

answers

9

views

Feature of Graph Laplacian matrix to draw a tetrahedron mesh without plan cross?

graph-theory manifolds convex-optimization planar-graphs graph-laplacian

asked 1 hour ago ES_YD 1

0

votes

0

answers

10

views

Proving the boundedness property of the poisson kernel

fourier-analysis fourier-series

modified 1 hour ago cabmetric 65

2

votes

0

answers

17

views

Evaluating an adelic integral

integration number-theory adeles

modified 1 hour ago Wirdspan 367

0

votes

1

answer

16

views

Is there any situation where the LDU decomposition is the same as the eigenvalue decomposition?

linear-algebra matrices matrix-decomposition gaussian-elimination lu-decomposition

answered 1 hour ago amsmath 8,772

0

votes

0

answers

12

views

What is an example of a discontinuous function from $\mathbb{R}^{\omega}$ such that sequential limit is preserved?

general-topology

asked 1 hour ago Jun Xu 103

0

votes

0

answers

6

views

Matrix normal, then is the same true for the fundamental system?

ordinary-differential-equations analysis dynamical-systems fundamental-solution

modified 1 hour ago amsmath 8,772

3

votes

1

answer

37

views

$3\times3$ grid filled in randomly; probability of a $2\times2$ grid filled with one element

probability independence

modified 1 hour ago Laufen 1,153

2

votes

0

answers

7

views

Measure of time spent increasing by a diffusion

stochastic-processes stochastic-calculus brownian-motion stochastic-integrals

asked 1 hour ago 900edges 413

0

votes

1

answer

13

views

Find a formula for leaves in tree

discrete-mathematics graph-theory induction trees data-structure

answered 1 hour ago Brian M. Scott 558k

0

votes

0

answers

11

views

Showing that the theory of an infinite descending $\subseteq$ chain has Morley rank 2

logic model-theory

asked 2 hours ago ikrto 469

1

vote

0

answers

17

views

Consistency in Statistical Decision Theory

probability-theory statistics decision-theory

modified 2 hours ago lmaosome 385

0

votes

0

answers

8

views

Transform point in the Poincaré disc to point in tile

transformation hyperbolic-geometry tiling

asked 2 hours ago HelloGoodbye 281

0

votes

0

answers

16

views

Set of all p-times differentiable functions is vectorspace

real-analysis linear-algebra vector-spaces

asked 2 hours ago Parinn 299

2

votes

1

answer

916

views

Posterior Distribution with prior standard exponential (mean 1) and data distribution of poisson

bayesian

modified 2 hours ago Community♦ 1

1

vote

0

answers

13

views

Do “the ratio of A to B” and “A:B” always mean A/B as a fraction?

definition ratio

asked 2 hours ago user13651701 21

0

votes

1

answer

25

views

Find MGF for $f(x) = \frac{\theta^x e^{-\theta}}{x!}, x=0,1,2,3,.. $

probability-distributions moment-generating-functions

modified 2 hours ago RobPratt 21.7k

3

votes

0

answers

45

views

Writing a given process as a diffusion

probability stochastic-processes stochastic-calculus poisson-process

modified 3 hours ago 900edges 413

0

votes

1

answer

38

views

Proving input-to-state stability for a set of equilibria

dynamical-systems control-theory stability-in-odes

answered 3 hours ago Konuts 1

0

votes

0

answers

6

views

Definition of “involutive system of PDEs” - reference

partial-differential-equations reference-request

asked 3 hours ago DanielKatzner 85

0

votes

0

answers

16

views

Differentiate the Total Variation (Lebesgue integral)

measure-theory lebesgue-integral bounded-variation

modified 3 hours ago catsadnfish 441

-1

votes

0

answers

65

views

Solving $\frac{\cos(2x)^2}{\sin(2x)^2} = 1 +\frac{3}{\cos(2x)}$ for $x$

trigonometry

modified 3 hours ago Carlylepenguin 1

0

votes

2

answers

21

views

For which values of $ \alpha$ ,$ e^{\alpha x} - (1+\alpha) \cdot x^2$ is convex in $\mathbb{R}$

real-analysis

answered 3 hours ago Fei Cao 541

1

vote

0

answers

13

views

Strong linear independent of matrices

matrices independence

asked 3 hours ago Gilbert Easton 76

0

votes

1

answer

19

views

Confused about mathematically (formally) finding a conditional expectation in a double expectation problem versus in words

probability expected-value conditional-expectation

modified 4 hours ago E2R0NS 112

1

vote

0

answers

24

views

Exercise 2.26 (Idempotents and products) from Eisenbud's Commutative Algebra

commutative-algebra solution-verification localization idempotents

asked 4 hours ago klein4 577

0

votes

1

answer

48

views

$\frac{a^3+1}{a}+\frac{b^3+1}{b}+\frac{c^3+1}{c} \ge 2\sqrt{(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})\cdot (\frac{a}{b}+\frac{b}{c}+\frac{c}{a})}$

inequality

modified 4 hours ago asun 106

1

vote

2

answers

35

views

Why are pull backs always defined for 1 forms but not push forwards?

differential-geometry differential-forms pullback

answered 4 hours ago Ted Shifrin 89.2k

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