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Apr
18
comment Radius of the spherical image of a circle
The formula with $F$ is fine, but the equation for elements of $\Bbb S^2$ must be: $$x^2+y^2+z^2=1$$
Apr
17
comment Radius of the spherical image of a circle
Dear @HagenvonEitzen would you like to elaborate it in an answer? I've solved this but my solution involves a lot of computations.
Apr
17
revised Problem of Separable Metric Space, Isolated points and countable sets
deleted 62 characters in body
Apr
16
revised Problem of Separable Metric Space, Isolated points and countable sets
Adding things to make a better corollary.
Apr
16
comment First-Order Logic vs. Second-Order Logic
Perhaps this would like to you.
Apr
16
comment First-order logic without equality
There is no reason for different variables to denote different objects. Different variables are different objects but they can be interpreted as the same object if they are free in a formula. It depends of the model you choose.
Apr
16
revised Prove that $a \leq 0$ if $a \leq \frac 1 n$ for all $n$
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Apr
16
revised Summations with binomial coefficients:$\sum_{k=0}^{n}\binom{R}{k}\binom{M}{n-k}=\binom{R+M}{n}$
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Apr
16
revised Prove that the set of integer coefficients polynomials is countable
edited title
Apr
16
revised Exercise over numerable sets
added 6 characters in body; edited title
Apr
16
answered Problem of Separable Metric Space, Isolated points and countable sets
Apr
15
comment Problem of Separable Metric Space, Isolated points and countable sets
This provides the way (I've seen so far) one prove that a space is not separable, namely, by finding a totally disconnected uncountable subset.
Apr
15
revised Problem of Separable Metric Space, Isolated points and countable sets
deleted 1 characters in body; edited title
Apr
15
revised Equivalents metrics and closed sets
Typo in title and spelling.
Apr
14
comment Is the product of two measurable subsets of $R^d$ measurable in $R^{2d}$?
You can prove this in stages, first intervals, then open sets, then $G_\delta$ sets, then...
Apr
11
revised Complex Numbers - Locus
These tags seems more appropriate.
Apr
10
comment Does there exist a continuous surjection $f:\mathbb{R} → l^{\infty}$
This is just your prior question with a different title.
Apr
10
comment Who can solve this ordinary differential equation?
Can you please answer Kaster's question?
Apr
10
comment What is the formula of: $a^{0} + a^{1} + a^{2} + … + a^{n-1} + a^{n}$?
Check your algebra.
Apr
10
comment Distance between point and line in the complex plane
To justify my method one can argue that $w'$ is the orthogonal projection of $w$ over $L$. Anyway your approach seems indeed simpler. Thanks again.