Simple question about sets

how do you write the symbols? just using LaTeX notation?

>>9093303
You first define a relation and then check whether it's a function.

File: d_mu.png (1KB, 140x65px) Image search: [Google]

1KB, 140x65px

[math]\int f\mbox{d}\mu[/math]

File: d_mu.png (5KB, 598x159px) Image search: [Google]

5KB, 598x159px

>>9093543
>>9093732
Fucked up.

Press the TEX button on the upper corner when replying to a message.

>>9093556
Did you understand the question?
Fill the dots [math]...[/math] in the OP.

>>9093303

There isn't anything wrong with using f when defining f since you already defined f when you said

A single valued relation [math]f[/math] is [math] f \subset A \times B[/math] such that [math](a,b),(a,b') \in f \rightarrow b = b'[/math] [math][/math]

>>9093303
If you want a specific set, you need to show the rule to which each [math] x \in A[/math] gets assigned a unique [math] y \in B [/math]. You can show this by [math] f: x \mapsto f(x) [/math].
Obviously you replace f(x) with the rule. Then there is nothing wrong by denoting the set as [math] f = \{(x,y) \in A \times B | f(x) = y\}[/math]

>>9093793
Yeah, that's corrent.
I was wondering though whether there was a method for restating the properties of the set by avoiding using [math]f[/math].

>>9093811
I wanted to write it in a general form.

>>9093818
Suppose F is a relation from A to B. To make it a function then just restrict by this,
[math] \forall x \in A \; \exists! \; y \in B \;| \;(x,y) \in F[/math]

>>9093840
I already know about this formulation.
>>9093814
>I was wondering though whether there was a method for restating the properties of the set by avoiding using [math]f[/math].
[math]f=\{(a,b)\in A \times B|...\}[/math].