real analysis related queries in MathXchanger | QueryXchanger

Defining limit of a function in terms of neighborhoods

calculus real-analysis limits
Updated August 16, 2018 16:20 PM

How do I prove that the hyperplane is a subspace of codimension 1?

abstract-algebra functional-analysis convex-geometry
Updated August 16, 2018 16:20 PM

Completion of a measure space using null sets

real-analysis measure-theory
Updated August 16, 2018 16:20 PM

Problem involving Fundamental Theorem of Calculus

calculus real-analysis
Updated August 16, 2018 16:20 PM

Prove that probability density function is smooth

calculus real-analysis sequences-and-series derivatives
Updated August 16, 2018 16:20 PM

Proof by induction for $f^{n+1}(x)=\frac{x}{\sqrt{1+(n+1)x^2}}$

analysis induction
Updated August 16, 2018 15:20 PM

Convergence of a real sequence (stochastic approximation)

real-analysis sequences-and-series stochastic-approximation
Updated August 16, 2018 15:20 PM

Bounded operators versus bounded sequences

functional-analysis analysis banach-spaces upper-lower-bounds
Updated August 16, 2018 15:20 PM

An estimate using Hardy Littlewood Maximal Operator $\sup_{t > 0} | f * \phi_(t) (x) | \le C \cdot Hf$

real-analysis
Updated August 16, 2018 14:20 PM

Definition of a mathematical interval, why not defined this easier way?

definition real-numbers
Updated August 16, 2018 14:20 PM

Showing 'simple' inequality

real-analysis inequality
Updated August 16, 2018 14:20 PM

Equally spacing family along line

real-analysis
Updated August 16, 2018 13:20 PM

$f,g$ such that $\int fg = \int f \int g$

real-analysis integration functional-equations
Updated August 16, 2018 13:20 PM

Sequence of polynomials converging to $\frac{1}{z}$

complex-analysis polynomials uniform-convergence
Updated August 16, 2018 13:20 PM

Matrix calculus with complex

probability complex-analysis normal-distribution norm matrix-calculus
Updated August 16, 2018 13:20 PM

An inequality about Besov norm: transfer the index $s$ to the multiplier $\langle \xi \rangle^s$

pde functional-equations harmonic-analysis
Updated August 16, 2018 12:20 PM

Preservation of martingale property under absolutely continuous monotone time change

integration stochastic-processes stochastic-calculus martingales stochastic-analysis
Updated August 16, 2018 12:20 PM

Existence of a Harmonic Conjugate in a Non-Simply Connected Domain

complex-analysis harmonic-functions holomorphic-functions
Updated August 16, 2018 12:20 PM

Let $e=\sup\{(1+\frac1n)^n:n\in\Bbb N^+\} $. Prove that the set $\{(1+\frac2n)^n:n\in\Bbb N^+\}$ is bounded above by $e^2$

real-analysis
Updated August 16, 2018 12:20 PM

Most natural choice for the sign in the definition of the resolvent

functional-analysis operator-theory definition
Updated August 16, 2018 12:20 PM

Sum of two sequences converges and one of them is bounded implies they both converge

calculus real-analysis sequences-and-series convergence
Updated August 16, 2018 12:20 PM

not nowhere dense set

real-analysis general-topology
Updated August 16, 2018 10:20 AM

Sign change for a continuous Lipschitz function

analysis lipschitz-functions
Updated August 16, 2018 10:20 AM

Counter example of bounds on limit implies bounds on the sequence

real-analysis
Updated August 16, 2018 10:20 AM

Determine S explicitly and find the inf S and sup S if they exist (S = $\{ x\in \mathbb{R} : |x + 7| − |x^{ 2} − 3| ≥ 4\}$)

analysis inequality absolute-value supremum-and-infimum
Updated August 16, 2018 10:20 AM

Show that the Cauchy Integral Formula Implies Analyticity

complex-analysis
Updated August 16, 2018 09:20 AM

Where am I going wrong in solving $\frac{\partial}{\partial \mathbf w}(\mathbf y - \mathbf X\mathbf w)^T(\mathbf y - \mathbf X \mathbf w) = 0$?

multivariable-calculus vector-analysis matrix-calculus
Updated August 16, 2018 08:20 AM

'any sequence of $n$ partial differentiations of $f$ results in a constant times $f^{n}$'

calculus complex-analysis derivatives proof-verification partial-derivative
Updated August 16, 2018 08:20 AM

Convergence of $\sum_{n=1}^{\infty}\left(\cos\frac{1}{n}\right)^{k(n)}\,\,\,\,; k(n)=\frac{1}{\sin^a\left(\frac{1}{n}\right)}$

real-analysis sequences-and-series convergence
Updated August 16, 2018 08:20 AM

Prove that $\Phi$ is differentiable on $E$ and find $\Phi'(x)$

calculus analysis multivariable-calculus derivatives normed-spaces
Updated August 16, 2018 07:20 AM

Inclusion of limit point in Collection set

real-analysis limits analysis
Updated August 16, 2018 07:20 AM

A special Holder-Lipschitz function

complex-analysis inequality
Updated August 16, 2018 07:20 AM

If $f: U \to \mathbb{R}^{n}$ is differentiable and $\Vert df(x) \Vert \leq K$ for any $x \in U$ then $\Vert f(x) - f(y) \Vert \leq Kd(x,y)$

real-analysis derivatives
Updated August 16, 2018 07:20 AM

Show that is a tempered distribution.

functional-analysis distribution-theory
Updated August 16, 2018 06:20 AM

Lebesgue measure of set not equal to that of its preimage

real-analysis lebesgue-integral lebesgue-measure
Updated August 16, 2018 06:20 AM

Limits of the function and its integral $f_n(t)$ where $n=2^k+p$

calculus real-analysis
Updated August 16, 2018 05:20 AM

Showing the continuity of a map that is supposed to be a coordinate patch

real-analysis proof-verification continuity manifolds smooth-manifolds
Updated August 16, 2018 05:20 AM

Prove $f(y) = \min \{|y-x|, x\in S\}$ is convex when $S = \{x\in\mathbb{R}^2|ax_1 + bx_2 = c\}$

optimization convex-analysis convex-optimization
Updated August 16, 2018 05:20 AM

Prove the series $\sum \frac{a_n}{a_n +1} $ is divergent.

real-analysis
Updated August 16, 2018 05:20 AM

What are all the angle-preserving $\mathbb{R}$-linear maps $T:\mathbb{C}\rightarrow\mathbb{C}$?

complex-analysis complex-numbers linear-transformations
Updated August 16, 2018 05:20 AM

Need help with complex integration

complex-analysis complex-integration
Updated August 16, 2018 04:20 AM

A relation involving summation and integration

real-analysis integration summation continuity lebesgue-integral
Updated August 16, 2018 04:20 AM

Let $f:\Bbb{R}^n\to \Bbb{R} $ be differentiable. Prove that $f$ is linear and show that $f(0)=0$

real-analysis linear-algebra analysis multivariable-calculus functions
Updated August 16, 2018 03:20 AM

Proof of inequality and determining convergence/divergence

real-analysis sequences-and-series
Updated August 16, 2018 03:20 AM

Finding the Harmonic Conjugate Which Satisfies $v(0,0)=1$

complex-analysis proof-verification harmonic-functions
Updated August 16, 2018 03:20 AM

Can I use $0 = (-x) - (-x)$ as additive inverse in a proof?

real-analysis
Updated August 16, 2018 02:20 AM

Why isn't every Hamel basis a Schauder basis?

functional-analysis schauder-basis hamel-basis
Updated August 16, 2018 02:20 AM

Where is $f(z)$ analytic?

complex-analysis
Updated August 16, 2018 02:20 AM

Showing that a Completion is Complete

real-analysis proof-verification proof-writing
Updated August 16, 2018 02:20 AM

Describing conformal maps in terms of a complex functional equation.

complex-analysis proof-writing functional-equations
Updated August 16, 2018 02:20 AM

real analysis related issues & queries in MathXchanger