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Given $f :(a,b)\to\mathbb{R}$ is a monotone increasing sequence bounded above, show that $\lim_{x\to b^-} f(x)$ exists

limits convergence continuity

modified 2 mins ago ford jones 169

1

vote

1

answer

18

views

Solve heat equation given conditions

ordinary-differential-equations heat-equation

answered 2 mins ago soobster 517

0

votes

1

answer

23

views

How do hyperreal numbers prove .9 repeating = 1?

paradoxes

modified 7 mins ago Edward H. 565

1

vote

1

answer

9

views

Is every homeomorphism subgroup “representable by homotopies”?

general-topology homotopy-theory

answered 7 mins ago user125932 1,880

0

votes

0

answers

4

views

How to Efficiently calculate the intersection of conjugacy classes of a normalizer.

abstract-algebra

asked 7 mins ago Johnathon Taylor 23

-1

votes

0

answers

5

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Use Euclid’s algorithm to find integers x, y and d for which 3936 x + 1293 y = d is the smallest possible positive integer.

euclidean-algorithm

modified 9 mins ago Jean-Claude Arbaut 17k

0

votes

0

answers

5

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Conditional Expectation and Craps Bet

probability probability-theory conditional-expectation

asked 11 mins ago clovis 72

0

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0

answers

2

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Weak Convergence of Localized Functions

real-analysis functional-analysis pde

modified 12 mins ago Fozz 589

1

vote

1

answer

42

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How to prove this summation and integral equality?

calculus taylor-expansion laplace-transform

modified 12 mins ago Nanhui Lee 16

0

votes

1

answer

16

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Is the Distance Formula applicable for 4-Dimensional Coordinate System? If yes, what is its physical significance?

soft-question analytic-geometry coordinate-systems

answered 13 mins ago Ross Millikan 317k

0

votes

1

answer

23

views

Taylor series and mean value theorem question: $f'(a)< f(a+1) -f(a) < f'(a+1)$ with $f''(x)>0$

calculus

modified 14 mins ago Quanto 8,489

0

votes

1

answer

11

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P implies Q logical expression

discrete-mathematics boolean-algebra

answered 15 mins ago Graham Kemp 93.9k

5

votes

1

answer

80

views

+100

Clarification of L'Hopital Proof Pugh

real-analysis

modified 15 mins ago mathworker21 14.7k

0

votes

1

answer

15

views

A proof of the Nomizu-Ozeki theorem

differential-geometry riemannian-geometry geodesic

modified 16 mins ago Ivo Terek 50.9k

0

votes

0

answers

14

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Prove $f(x) = \sum^\infty_{k=1}A_k \sin(k\pi x) = 0 \Rightarrow A_k = 0, \forall k \in \mathbb{N}_+ $

real-analysis ordinary-differential-equations heat-equation

modified 18 mins ago soobster 517

1

vote

1

answer

49

views

What is the equivalent of this form of choice?

set-theory first-order-logic axiom-of-choice

modified 18 mins ago Alex Kruckman 32.5k

2

votes

2

answers

24

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Find a Orthogonal Matrix Q

linear-algebra orthogonality

answered 18 mins ago tch 933

0

votes

1

answer

13

views

If people sharing the same birthday raise their hand, how many hands do you expect to see raised?

calculus probability sequences-and-series recreational-mathematics puzzle

answered 19 mins ago saulspatz 25.9k

0

votes

0

answers

12

views

Computing the work of a very tricky vector field through a curve

vector-analysis vector-fields

asked 21 mins ago Deep_Television 383

0

votes

0

answers

6

views

True or false questions

elementary-set-theory

asked 21 mins ago user707991 41

1

vote

1

answer

20

views

Where am I making mistake in trying find the $[x^n]$ of a given generating function?

discrete-mathematics generating-functions

answered 21 mins ago Jean-Claude Arbaut 17k

0

votes

0

answers

6

views

Intuition for following sequence theorem

sequences-and-series

asked 22 mins ago user532874 633

0

votes

1

answer

15

views

about a lemma for the proof of submultiplicativity of matrix norm

linear-algebra norm

answered 24 mins ago Azif00 4,489

1

vote

1

answer

31

views

Class of 100 students, 10 who speak German, 20 who speak Italian, 30 who speak Spanish, 8 who speak both Italian and Spanish, 3 speak all 3 languages

combinatorics elementary-set-theory inclusion-exclusion

modified 25 mins ago Magitrix Alyxra 49

0

votes

0

answers

4

views

Stieltjes measure functions in $\mathbb{R}^n$

measure-theory lebesgue-measure

asked 27 mins ago Álvaro G. Tenorio 130

0

votes

1

answer

8

views

Sufficient condition for uniform (Lebesgue) integrability

real-analysis measure-theory lebesgue-integral uniform-integrability

answered 28 mins ago amsmath 5,899

1

vote

1

answer

9

views

Introduction of a phase term in the solution of the wave equation

ordinary-differential-equations trigonometry pde

answered 28 mins ago Ninad Munshi 3,855

2

votes

1

answer

32

views

Pairs of perfect squares

number-theory contest-math square-numbers

modified 28 mins ago John Omielan 13.2k

0

votes

0

answers

11

views

How can changing the order of integration be used to solve the integral $\int_0^\infty \frac{\cos{(\alpha x)}-\cos{(\beta x)}}{x}\, dx$

calculus integration multivariable-calculus improper-integrals change-of-variable

asked 30 mins ago RyanC 25

0

votes

0

answers

3

views

how to calculate the cumulative distribution function of sums of n Bernoulli distribution?

binomial-distribution bernoulli-numbers cumulative-distribution-functions

asked 33 mins ago superxxdd 1

0

votes

0

answers

8

views

Ax = b has a solution for every B if A has a pivot in every row.

linear-algebra proof-verification

asked 36 mins ago Probability1 10

2

votes

1

answer

21

views

$f^n(x)$ where $n \in \mathbb{R}^+$

analysis

answered 41 mins ago Harshit Gupta 779

2

votes

1

answer

34

views

Finite morphism induced by section of a line bundle

algebraic-geometry schemes

modified 42 mins ago awllower 11k

0

votes

0

answers

5

views

Finding QP parameters from standard form equation

matrices quadratic-programming

asked 43 mins ago Ron Beyer 101

-2

votes

0

answers

20

views

Why can't I find this integral in tables $\int_0^{\pi}\frac{\cos(a x)}{1+be^{cx}} dx$ ? What is the answer?

definite-integrals

modified 43 mins ago mattos 2,868

1

vote

2

answers

15

views

Coin Problem (Generating Functions)

power-series generating-functions

answered 45 mins ago CosmoVibe 1,008

0

votes

1

answer

8

views

Correctness proof for algorithm to generate k bitsets of n bits (nCk)

combinatorics algorithms computational-mathematics

answered 47 mins ago antkam 6,912

0

votes

1

answer

7

views

Proving that a set of formulas are closed under logical consequence

logic propositional-calculus hilbert-calculus

answered 48 mins ago Bram28 70.9k

0

votes

0

answers

6

views

simultaneous linear congruence- Chinese remainder theorem

discrete-mathematics

asked 51 mins ago Hemant Kumar 1

0

votes

0

answers

7

views

Separable second-order nonlinear ODE

ordinary-differential-equations

asked 51 mins ago pluton 344

2

votes

0

answers

5

views

Is the Hilbert series of an ideal related to the Hilbert series of its homogenization?

algebraic-geometry commutative-algebra groebner-basis hilbert-polynomial

asked 52 mins ago Stephen McKean 11

1

vote

0

answers

28

views

Prove that $\sum _{n=1}^{\infty }\frac{g'\left(n\right)}{g\left(n\right)}$ converges iff $\lim_{ n\to\infty}g(x)<\infty.$

real-analysis sequences-and-series limits

modified 54 mins ago Isaac Browne 5,829

4

votes

1

answer

54

views

On $\int_0^1\frac{\ln(1-e^{\pi i/3}x)}{e^{-\pi i/3}-x}\ln^3xdx$ and its generalization

integration sequences-and-series definite-integrals euler-sums

modified 54 mins ago Kemono Chen 4,125

0

votes

0

answers

8

views

How to define a left adjoint to a functor

category-theory

asked 55 mins ago Johnathon Taylor 23

-1

votes

0

answers

14

views

Where to find J.C.Kingman's books?

probability reference-request book-recommendation

asked 57 mins ago gonzalo saravia 6

4

votes

1

answer

52

views

+100

Properties of exponential random variables: memoryless property and sums/differences

probability probability-distributions random-variables exponential-distribution

answered 59 mins ago antkam 6,912

2

votes

0

answers

35

views

distance formula between point estimated by gradient descent for a quadratic form at each iteration and the optimal value

convex-optimization gradient-descent quadratic-programming

modified 1 hour ago user 42493 394

-1

votes

0

answers

14

views

Inverse & Piecewise Function

algebra-precalculus inverse word-problem

modified 1 hour ago Nero 1

2

votes

1

answer

15

views

The N(I+V) must be bigger than 4 in complex matrices?

linear-algebra matrices

modified 1 hour ago amsmath 5,899

1

vote

1

answer

27

views

Difference quotients with same limit points

real-analysis sequences-and-series limits convergence

answered 1 hour ago mathworker21 14.7k

-1

votes

0

answers

10

views

local homeomorphism between $\mathfrak{so}(n)$ and $SO(n)$

lie-groups lie-algebras smooth-manifolds

asked 1 hour ago mmath 129

0

votes

1

answer

33

views

Limit Question: I have completed this problem by myself, but I want to confirm that I did the problem correctly

calculus limits proof-verification derivatives continuity

answered 1 hour ago Paramanand Singh 53.7k

0

votes

1

answer

14

views

Understanding the proof of Corollary 6 on page 76 in Royden “Fourth Edition”.

real-analysis analysis measure-theory proof-explanation

answered 1 hour ago Anson NG 366

0

votes

0

answers

11

views

Proof verification upper bound on the Mondrian Art Problem?

proof-verification upper-lower-bounds open-problem art

modified 1 hour ago Wrogrsin 53

2

votes

1

answer

52

views

Find the surface area of the patch of the graph $z = -x^5-y^2+e^{xy-1}$ for $1\leqq x \leqq 1.1$ and $1\leqq y \leqq 1.2$

linear-algebra surface-integrals

modified 1 hour ago Quanto 8,489

0

votes

0

answers

8

views

Logic of proof for showing that a set has a certain property.

real-analysis proof-writing

asked 1 hour ago stat 153

0

votes

1

answer

8

views

Proof on Co-Reflexive then Symmetric

logic proof-writing proof-theory

modified 1 hour ago Graham Kemp 93.9k

0

votes

1

answer

11

views

showing x has a power of prime order, Artin A_n is simple proof

group-theory symmetric-groups

modified 1 hour ago H_1317 317

2

votes

0

answers

14

views

dimension of an infinite-dimensional Banach space is $\geq c $.

functional-analysis hilbert-spaces banach-spaces

asked 1 hour ago John 236

1

vote

2

answers

37

views

Why can't the dual and primal linear program both be unbounded?

linear-programming

modified 1 hour ago John Karasev 21

0

votes

0

answers

19

views

If $\lim_{x \to a^+} {1 \over f(x)} = 0$, then $\lim_{x \to a^+} f(x) = \infty$

limits proof-verification epsilon-delta

asked 1 hour ago Morcus 41

0

votes

0

answers

4

views

Irreducible weight modules for sl2 which are not highest or lowest-weight

representation-theory lie-algebras

asked 1 hour ago Joppy 6,365

0

votes

0

answers

10

views

How to define a unit and a counit.

category-theory

asked 1 hour ago Johnathon Taylor 23

3

votes

1

answer

39

views

Solve discrete logarithm, $a^x = b \bmod 2^N$ by p-adic logarithm

number-theory algorithms modular-arithmetic modules p-adic-number-theory

modified 1 hour ago Oscar Lanzi 15.7k

0

votes

0

answers

21

views

Calculate convolution $x_n*y_n$?

fourier-analysis convolution signal-processing

modified 1 hour ago Tom 353

0

votes

0

answers

7

views

Trying to study about homeomorphism, local diffeomorphism, diffeomorphism.

diffeomorphism

asked 1 hour ago Seungchan Lee 1

0

votes

0

answers

5

views

Special linear Lie algebra $\mathfrak{sl} (V)$ is semisimple

lie-algebras semisimple-lie-algebras

asked 1 hour ago XT Chen 515

0

votes

0

answers

11

views

Find the critical points of the function, then classify each point with second derivative test.

ordinary-differential-equations multivariable-calculus partial-derivative

asked 1 hour ago OurLittleBabylon 6

0

votes

1

answer

11

views

Optimisation problem. Maximising revenue of pies sold

calculus

answered 1 hour ago copper.hat 133k

0

votes

0

answers

9

views

Inequalities involving two pairs of points for a convex function

functions inequality convex-analysis

asked 1 hour ago Stéphane 18

0

votes

0

answers

4

views

Infinite amount of negative eigenvalues for SL problem when p < 0?

eigenvalues-eigenvectors sturm-liouville

asked 1 hour ago Latrace 51

0

votes

0

answers

1

view

Is each level set of $\Phi$ a properly embedded submanifold with or without boundary of codimension $r$ in $M$?

manifolds smooth-manifolds manifolds-with-boundary

asked 1 hour ago Born to be proud 1,171

0

votes

0

answers

16

views

Given 2 red beads, 2 blue beads, 1 yellow bead, and 1 green bead, how many different necklaces can be made?

permutations computer-science matlab polya-counting-theory

modified 1 hour ago Rob Pratt 2,577

0

votes

0

answers

13

views

Interchange Limits and incorrect proof Monoton Convergence

real-analysis

asked 2 hours ago Hawk 5,806

0

votes

0

answers

8

views

Help to enunciate a “universal” constant (simple question)

proof-writing notation self-learning

asked 2 hours ago Celine Harumi 646

0

votes

0

answers

3

views

a partial order in a closed cone

normed-spaces order-theory convex-cone

asked 2 hours ago math112358 1,351

0

votes

1

answer

21

views

What does the $/$ symbol in $S/R$ mean, where $S$ is a set and $R$ is a relation?

reference-request definition relations

modified 2 hours ago Kenta S 1,733

0

votes

0

answers

4

views

Check if a condition for convergence is fullfiled.

real-analysis stochastic-processes self-learning

asked 2 hours ago Celine Harumi 646

2

votes

0

answers

22

views

How to analyze $\{|f(z)|\le M\}$ is bounded?

real-analysis multivariable-calculus jacobian

asked 2 hours ago Zero 1,310

0

votes

0

answers

10

views

Jacobian and polar coordinates

polar-coordinates jacobian

asked 2 hours ago drzaius7 156

1

vote

0

answers

20

views

Are these algebraic expressions equivalent in 'form'?

algebra-precalculus terminology

asked 3 hours ago masiewpao 89

2

votes

1

answer

24

views

Find the series expansion of $\frac{\ln^4(1-x)}{1-x}$

integration sequences-and-series harmonic-numbers stirling-numbers polylogarithm

modified 3 hours ago Ali Shather 5,279

1

vote

0

answers

23

views

Prove that $ \lim_{x\to c} f(x) =L$ then $\lim_{x\to c} af(x) =aL$ for any real number a.

real-analysis

asked 3 hours ago Ever Olivares 62

3

votes

0

answers

31

views

Necklace infinte sum

sequences-and-series necklace-and-bracelets

modified 3 hours ago Hector Blandin 2,009

1

vote

0

answers

10

views

Show that there is a $C>0$ such that for each $1 \leq k \leq r$ and $h \in \mathbb{R}^{m}$ we have $\left|D^{(k)} f(p, h)\right| \leq C|h|^{k}$.

real-analysis multivariable-calculus

modified 3 hours ago PozcuKushimotoStreet 1,641

1

vote

1

answer

38

views

Hint on real analysis derivative problem

real-analysis derivatives

modified 3 hours ago Spencer Kraisler 908

0

votes

4

answers

65

views

Calc I: Related Rate Problem

calculus

modified 3 hours ago Quanto 8,489

0

votes

1

answer

14

views

How to find the normal of an n-dimensional hyperplane given n points on the plane?

linear-algebra python

answered 3 hours ago Sans Cipher 33

1

vote

1

answer

17

views

$u_{xx}u_{yy}-u_{xy}^2 = 0$ iff $u_{xx}=u_{yy}=u_{xy} = 0$?

pde

modified 3 hours ago Batominovski 34.7k

0

votes

1

answer

21

views

Probability of getting same grade on two tests?

probability statistics discrete-mathematics

answered 4 hours ago Sans Cipher 33

9

votes

1

answer

194

views

Does there exist some sort of classification of incompressible groups?

abstract-algebra group-theory finite-groups symmetric-groups group-actions

modified 4 hours ago YCor 10.9k

2

votes

0

answers

13

views

linear algebra applied in discrete Markov Process

linear-algebra probability matrices markov-process

asked 4 hours ago Rabbittac Jieke 11

5

votes

0

answers

32

views

Show that there is no proper ideal of finite presentation of $R$.

abstract-algebra ring-theory commutative-algebra modules finitely-generated

modified 4 hours ago patrick 27

2

votes

0

answers

6

views

Energy function in Hopfield neural network

maxima-minima neural-networks

modified 4 hours ago Mark 37

0

votes

0

answers

8

views

Approximation to the $n$-th derivative by reproducing kernels.

convolution dirac-delta hermite-polynomials reproducing-kernel-hilbert-spaces deconvolution

asked 4 hours ago Dr Potato 102

1

vote

3

answers

18

views

Iterative method for finding asymptotic expansion of solution

asymptotics perturbation-theory

answered 4 hours ago David 1,608

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