So i 've been trying to prove [([x]/n)]=[x/n] but nothing came out .Can you help me?Thank you!
So:n is any natural number"nothing came out" - Please provide slightly more information about what is going in:
What is "n"?
What is "x"
What does "[]" mean?
Sorry, n is any natural number except for 0So:n is any natural number
:x can be any number
:[ ] stands for integer part for example [2.7] is 2
[5.3] is 5 and so on
Basically that's the same thing but x can be any given number eg. 1,-5,3.5...By any chance are you trying to show that
[MATH]n \in \mathbb Z^+, x \ge 0 \implies \left \lfloor \dfrac{ \lfloor \ x \ \rfloor}{n} \right \rfloor = \left \lfloor \dfrac{ x }{n} \right \rfloor.[/MATH]
What have you tried?
So the probelm is to prove that: [[x]/n] = [x/n] for every natural number (n) except for 0 and for every real number (x)Sure we can help you! But first you need to tell us what you need help with AND provide the whole entire problem as given to you. Showing what you tried will really get helpers to respond to your post.
You still haven't given us the main thing we've asked for: the work you said you did that didn't lead anywhere.So the probelm is to prove that: [[x]/n] = [x/n] for every natural number (n) except for 0 and for every real number (x)
[ ] stands for integer part for example [2.7] is 2
[5.3] is 5 and so on
Im going to let you know tomorrow cause right now im about to hit the sack.You still haven't given us the main thing we've asked for: the work you said you did that didn't lead anywhere.
We need to see what kind of proof you are attempting, and how close you came to a valid proof. Questions about proof require context; we can't help without knowing what definitions or theorems you have available, and what proof techniques you will understand. And the best help we can give is to make small adjustments to things you already know.
This is where i am:You still haven't given us the main thing we've asked for: the work you said you did that didn't lead anywhere.
We need to see what kind of proof you are attempting, and how close you came to a valid proof. Questions about proof require context; we can't help without knowing what definitions or theorems you have available, and what proof techniques you will understand. And the best help we can give is to make small adjustments to things you already know.