All Questions
5
questions with no upvoted or accepted answers
1
vote
0
answers
70
views
Is this a surjection from $(0,1) \rightarrow \mathbb{R}$?
I am trying to think of creative bijections from $(0,1) \rightarrow \mathbb{R}$ that can serve as a proof of the fact that the cardinality of the interval $(0,1)$ is equal to the cardinality of $\...
- 1,186
1
vote
0
answers
44
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Question concerning defining a particular class of functions
I have a multiset of real numbers $X \subseteq \mathbb{R} $ and I want to create a class of injective function to map the elements of $X$ to the unit interval(so basically a normalization).
However ...
- 75
0
votes
0
answers
57
views
Finding functions that intersect at the minimum number of points
Let $f$ and $g$ be (non-constant) functions from $\mathbb{R}^d$ to $\mathbb{R}$.
For a point $x \in \mathbb{R}^d$, let us define the set $S_{f,x} = \{y \in \mathbb{R}^d : f(y) = f(x) \land y \neq x \}$...
- 33
0
votes
0
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103
views
Domain of function $y$
In my physics book I saw the following math snippet:
Let
$$y(t)=\sin(t)\int_{-\epsilon}^{\epsilon}x(\tau)\cos(t-\tau)d\tau$$
be the output signal for input signal $x(t)$.
So, as a ...
user503399
0
votes
0
answers
42
views
Proving that a certain set of sequences is uncountable
Let $B:=\{(b_1, b_2, b_3, \ldots) : b_i =\pm i!$ for every $i \in \mathbb{N}\}$.
I WTS that $B$ is uncountable. I know there are several ways to do this. At this point I think that constructing a ...
- 4,174