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Inequality $ \left(1+\frac{x}{n}\right)^n \leq \exp(x) $

real-analysis calculus exponential-function

modified 1 min ago Raffaele 22.6k

0

votes

0

answers

10

views

Shell method to compute volume

calculus

modified 2 mins ago fda 41

1

vote

2

answers

31

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Taylor series expansion or polynomial regression which is the correct term here for finding an analytical estimate for an unknown function?

taylor-expansion regression

modified 2 mins ago bloodybutunbowed0 11

1

vote

1

answer

10

views

For $0 \leq a_n, b_n$: Is $\varliminf a_n \varlimsup b_n \leq \varlimsup a_n b_n $ true?

real-analysis limsup-and-liminf

answered 2 mins ago Adam 2,056

0

votes

1

answer

18

views

How do I find the equation for a parabola when given 2 points and the maximum values?

algebra-precalculus quadratics conic-sections

modified 3 mins ago Raffaele 22.6k

0

votes

0

answers

4

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I don´t now how can I express a polynomial in powers (Im studying Taylor's polynomial or taylor's formula)

taylor-expansion

asked 4 mins ago Brie Papadakis 13

1

vote

1

answer

27

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Derivation on $C(X)$

abstract-algebra differential-geometry

answered 4 mins ago s.harp 17.2k

-2

votes

0

answers

6

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Can wr then ask yhat CH(IA)=-MTC

real-analysis probability reference-request gcd-and-lcm

asked 4 mins ago Carlos perez 1

0

votes

0

answers

9

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The expectation of a stopping time

probability-theory stopping-times

asked 4 mins ago laurensvm 55

1

vote

1

answer

61

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Cardinality of a quotient set $\mathbb{N}^\mathbb{N}/\sim$

sequences-and-series functions set-theory cardinals equivalence-relations

modified 6 mins ago Aqua 78.3k

2

votes

2

answers

25

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existence of certain continuous function $\overline{f}$

real-analysis calculus general-topology

modified 6 mins ago Alfred 191

0

votes

1

answer

9

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Showing that a subset of all polynomials for which $p(1)=p(2)=p(3) = 0$ holds true is a subspace

linear-algebra

answered 6 mins ago ArsenBerk 12.5k

35

votes

2

answers

827

views

+50

Prove/disprove $(\int_{0}^{2 \pi} \!\!\cos f(x) d x)^{2}+(\int_{0}^{2 \pi}\!\!\! \sqrt{(f'(x))^{2}+\sin ^{2} f(x)}dx)^{2}\ge 4\pi^{2}$

real-analysis integration analysis inequality definite-integrals

answered 6 mins ago pisoir 1,313

1

vote

2

answers

30

views

Integrate $\int _0^{\infty }\:\:\frac{6}{\theta}xe^{-\frac{2x}{\theta }}\left(1-e^{-\frac{x}{\theta }}\right)dx$

calculus integration

answered 6 mins ago Raffaele 22.6k

1

vote

2

answers

32

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Solving $V_t=V_{xx}$ on $\{(x,t):x\in\mathbb{R}\}, t>0$ and $V(x,t)=e^tf(x)$ for some function $f$.

ordinary-differential-equations partial-differential-equations

answered 7 mins ago Robert Lewis 64.4k

3

votes

1

answer

1k

views

Are all disjoint events dependent?

probability probability-theory

answered 8 mins ago Rob van Mechelen 1

0

votes

0

answers

6

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Properties of Quadratic Covariation

probability-theory martingales quadratic-variation local-martingales

asked 8 mins ago qp212223 870

2

votes

0

answers

18

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$R$-module with local endomorphism ring is also an $R_P$-module for some $P\in\operatorname{Spec} R$

abstract-algebra ring-theory commutative-algebra modules localization

modified 9 mins ago Atticus Stonestrom 4,119

1

vote

1

answer

21

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Show that there is only one real root of the equation $1 + a^2 + ax - x^3$

real-analysis polynomials roots real-numbers

modified 13 secs ago egreg 213k

-2

votes

0

answers

20

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Mathematical induction theorem

induction

asked 10 mins ago Miriam2018 1

0

votes

0

answers

13

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If $\left(x_n\right)^{1/p}\to0$ then $\left(x_n\right)\to0$

real-analysis sequences-and-series

asked 12 mins ago D.Math 245

0

votes

1

answer

10

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proving that if $z$ is a root of $A+B$, it is not a root of $B$ & finding common roots of $A$ and $B$

polynomials

answered 15 mins ago radekzak 28

0

votes

0

answers

7

views

Relation between the multiplication operation of natural numbers and cartesian products of natural numbers

elementary-set-theory solution-verification

asked 16 mins ago Ziqi Fan 826

0

votes

1

answer

9

views

How to calculate density functions from joint pdf with the following constraints?

density-function

answered 18 mins ago sliberatore18 26

0

votes

0

answers

8

views

probabilities distribution-find the right answer

probability

modified 19 mins ago M. Nestor 2,194

0

votes

0

answers

3

views

Weak convergence of sums of inner products

functional-analysis

asked 19 mins ago Random name 1

2

votes

1

answer

45

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Converting a point in a finite field to its real (x, y) coordinate

elliptic-curves

modified 20 mins ago fgrieu 1,399

2

votes

1

answer

45

views

Divergence of summands of power series

real-analysis power-series

modified 25 mins ago zhw. 93.8k

0

votes

0

answers

10

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Proof that the function field $K(X)$ is isomorphic to the field of fractions of the stalk $\mathcal{O}_{X,p}$

algebraic-geometry

asked 27 mins ago Questionmonkey 1

0

votes

0

answers

6

views

Uniqness of SVD without orthogonality

optimization matrix-decomposition matrix-rank svd

asked 31 mins ago Ethan 444

2

votes

1

answer

11

views

Does any sequence with values in a directed set have a monotone subsequence?

sequences-and-series order-theory

answered 33 mins ago Brian M. Scott 549k

0

votes

0

answers

36

views

Does this expression always result in an integer:

number-theory

modified 34 mins ago Umberto P. 46k

2

votes

0

answers

33

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Determine if an ideal is prime in $\mathbb{Z}[\sqrt{-5}]$

abstract-algebra ring-theory field-theory ideals maximal-and-prime-ideals

modified 39 mins ago Noah Solomon 1,393

1

vote

0

answers

22

views

Product of this dependent martingales is also a martingale?

probability-theory expected-value conditional-expectation martingales

modified 39 mins ago StubbornAtom 12.6k

0

votes

0

answers

6

views

The dependence of stopping time of a Brownian Motion on the particular choice of Brownian motion

probability-theory brownian-motion

asked 40 mins ago Olof R 1,080

0

votes

0

answers

17

views

A restaurant chain has 256 booths (tables). For Monday breakfast it has found that on average only 116 of the booths are in use by customers.

probability statistics probability-distributions

asked 40 mins ago hockeypro2000 3

3

votes

0

answers

20

views

Summable function that is not infinitesimal

real-analysis measure-theory improper-integrals

modified 41 mins ago Semiclassical 13.6k

1

vote

0

answers

15

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Fundamental group of theAlexandroff compactification of a subspace of $\mathbb R^2$

general-topology algebraic-topology compactness fundamental-groups compactification

modified 42 mins ago Alchemist 91

0

votes

2

answers

25

views

Define a unique linear map

linear-algebra linear-transformations

modified 42 mins ago mrsamy 3,306

1

vote

1

answer

17

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Question related to $\operatorname{Max}_X \operatorname{Trace}(AX)$ s.t. $\|X\|=1$

linear-algebra optimization

modified 44 mins ago Community♦ 1

2

votes

1

answer

24

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Question: are quantum computers a type of Turing machine or something else?

soft-question algorithms turing-machines quantum-computation

answered 45 mins ago Noah Schweber 186k

0

votes

0

answers

27

views

Is that true that for every linear transformation $\phi : V^* \to W^$ there is a linear transformation $\psi: W \to V$ such that $\psi^ = \phi$?

linear-algebra dual-spaces dual-maps

asked 46 mins ago mymathc 159

0

votes

1

answer

10

views

Calculate $\mathbb E(5 - 3X) - D(2 - X)$ with $Uniform$ ~ $[-3, 3]$

expected-value variance

answered 52 mins ago heropup 90.5k

1

vote

1

answer

18

views

Logical transforms of theorems

logic

answered 52 mins ago Noah Schweber 186k

1

vote

0

answers

23

views

Integrate $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{(x + jp)^M (x - jp)^M } dx$

integration complex-numbers improper-integrals contour-integration complex-integration

modified 54 mins ago The Dude 890

0

votes

1

answer

15

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Methods of function expansion

analysis partial-differential-equations

answered 57 mins ago Pétur 557

0

votes

0

answers

25

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Given a 4x4 Singular Matrix. find characteristic polynomial

linear-algebra abstract-algebra matrices algebra-precalculus linear-transformations

modified 1 hour ago Eatay Mizrachi 73

0

votes

0

answers

4

views

analytical solution and Spectral radius matrix

matrices

asked 1 hour ago john 31

1

vote

0

answers

17

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Conclude almost sure convergence from the expectation

probability-theory martingales

modified 1 hour ago johnny10 119

0

votes

0

answers

13

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how to solve for the coefficients of a simple linear rational function

derivatives

asked 1 hour ago Ashton Smith 1

0

votes

0

answers

10

views

Geometry regular polygon inequality

geometry inequality complex-geometry

asked 1 hour ago Tatarusan Marius 41

0

votes

1

answer

26

views

what the limit of $\lim_{x→0}f(\sqrt{4 +x^2})$

graph-limits

modified 1 hour ago hamam_Abdallah 53.9k

0

votes

0

answers

4

views

convergence of martingale and stopping time

martingales stopping-times

asked 1 hour ago Fabrizio Santoriello 21

8

votes

0

answers

46

views

How is the Dirac delta $\delta (x^3)$ different from $\delta(x)$?

real-analysis dirac-delta

modified 1 hour ago Michael Hardy 246k

0

votes

0

answers

10

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Help solving a PDE similar to the heat equation

partial-differential-equations fourier-series heat-equation

asked 1 hour ago kroner 3,520

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