All Questions
6
questions
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Determine if $f=\{(x,y)\mid 2x+3y=7\}$ is invertible. From $\mathbb R \rightarrow \mathbb R$. If it is invert it.
I am thinking this is no, because I am not even sure if this counts as a function? I am unsure how this can be a function if there exist only a few $(x,y)$s that fulfill the equation.
Or does the $\...
0
votes
1
answer
79
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Having trouble understanding how to disprove/prove if a formula is a function.
Is $\frac 1{x^2-2}
$ a function from $\mathbb{R}\to \mathbb{R}$? Is it a function from $\mathbb{Z}\to \mathbb{R}$?
I have been thinking about this but, I can't find any example for which you can have ...
2
votes
1
answer
1k
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Why is this not a function?
This problem is from Discrete Mathematics and its Applications
This is the definition that the book gave of function
Here is my work so far
It's pretty clear to me that 1b and 1c are not functions ...
1
vote
0
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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 ...
1
vote
0
answers
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Existence of a particular transformation
I've a set of data points $S = \{ x | x\in [0,1]\}$ (i.e. real values from the unit interval). In some cases I've big clusters in the data and I want to spread the values in between the unit interval ...
0
votes
1
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51
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One to one function behaviour
Like in pigeon hole principle , if one set of objects(S1) has more items than others set of objects(S2) and we try to fit that S1 in S2 ( that is mapping the values of S1 to S2 , we end up getting ...