Newbetuts
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New posts in real-analysis
$f$ differentiable, $f(x)$ rational if $x$ rational; $f(x)$ irrational if $x$ irrational. Is $f$ a linear function?
real-analysis
functions
irrational-numbers
rational-functions
continuity and $C^2$ solution of a series
real-analysis
partial-differential-equations
On the Euler sum $\sum \limits_{n=1}^{\infty} \frac{H_n^{(4)} H_n^2}{n^6}$
real-analysis
sequences-and-series
complex-analysis
Show $\lim_{h \to \ 0} \frac{f(x + 2h) - 2f(x+h) + f(x)}{h^{2}} = f''(x)$ Proof verification
real-analysis
limits
proof-verification
$\frac{dS}{d\rho}$ Factor arising
real-analysis
linear-algebra
sequences-and-series
ordinary-differential-equations
solution-verification
Examples of statements that are true for real analytic functions but false for smooth functions
real-analysis
analysis
functional-analysis
Asymptotic behaviour of sum over the inverse japanese symbol
real-analysis
summation
asymptotics
Sum of two sequences of functions converging in measure still converges in measure
real-analysis
measure-theory
convergence-divergence
lebesgue-measure
Continuous functions and intervals
real-analysis
calculus
Intuitively and graphically what does the inequality of the mean value mean?
real-analysis
calculus
$P$ is a monic polynomial of degree $n$ , then which are correct?
real-analysis
analysis
Convergence to function that is not measurable
real-analysis
functional-analysis
measure-theory
Necessity of a hypothesis in the fundamental theorem of calculus
calculus
real-analysis
Limit of $\lim\limits_{n\to\infty} (1 + \frac{x_n}{n})^n$
calculus
real-analysis
sequences-and-series
limits
Continuous function that take irrationals to rationals and vice-versa. [duplicate]
real-analysis
functions
continuity
If $(f_n)\to f$ uniformly and $f_n$ is uniformly continuous for all $n$ then $f$ is uniformly continuous
real-analysis
proof-verification
Differentiability of product/composition of function
real-analysis
functional-analysis
derivatives
How does one prove that $e$ exists?
calculus
real-analysis
On the summation $\sum \limits_{n=1}^{\infty} \arctan \left ( \frac{1}{n^3+n^2+n+1} \right )$
real-analysis
sequences-and-series
Cardinality of the set of Riemann integrable functions on [0,1]
real-analysis
riemann-integration
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