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3h
revised First order nonlinear ordinary differential equations
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18h
answered Determine the sum of the following series.
18h
answered Eyebrow-raising pattern of number of primes between terms of the Fibonacci number sequence?
19h
answered $\gcd(a,n)\neq 1 \implies $ there is $b$ such that $ab\equiv 0 \pmod{n}$
19h
answered Find the maximum and minimum of the function $f$
19h
answered construct an example of not dense sets
19h
comment Measure of a section is zero imply other section will be zero?
No, remember that the integral of the indicator of a set is the measure of the set, $\int 1_E(x,y) d\mu(x) = \mu(E^y)$. Indeed $y \longmapsto \mu(E^y)$ is a function that we are integrating. It's measurability is typically included in the proof of fubini's theorem.
19h
answered Measure of a section is zero imply other section will be zero?
1d
answered What does $\{0, 1\}^*$ mean?
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comment What's my mistake in this integral transformation?
Oh I assumed the $-$ sign in front of his integral was from $dz = -dx$ and not from switching the bounds. I'll leave my answer since it's not clear to me which of the two mistakes he made.
1d
answered Homeomorphism in the definition of a manifold
1d
answered What's my mistake in this integral transformation?
1d
revised Calculate a differenciation
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1d
answered Calculate a differenciation
1d
answered Multiplying two inequalities
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comment Proving Two Taylor Polynomials Are Equal
$f(x)-f(x) = 0$, so the equation reads $p(x) - q(x) + o(x^n) = 0$, also $-o(x^n) = o(-x^n) = o(x^n)$ since multiplicative constants don't affect limits being zero ($g(x) = o(f(g))$ as $x \to 0$ means $g(x)/f(x) \to 0$ as $x \to 0$)
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answered Understanding Dirac Delta
2d
answered Proving Two Taylor Polynomials Are Equal