Is there a way to convert any number to either $1$ or $-1$ depending on its sign?
For example:
13 = 1
-13 = -1
-670.2 = -1
8.22 = 1
Lets say X is the number, i could do X / X and i would always get $1$ but the minus would get lost.
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2Perhaps the signum function is what you want: https://en.wikipedia.org/wiki/Sign_function. – rolandcyp Apr 04 '19 at 17:48
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thank you, both answers are correct. – Alexanus Apr 04 '19 at 17:51
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1Why is this tagged with [convergence] ? – Martin R Apr 04 '19 at 17:54
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sry i dont know what the correct tag is – Alexanus Apr 04 '19 at 17:56
1 Answers
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I think the usual way would be to use the absolute value:
$$\frac{x}{|x|}.$$
It won't work for $x=0,$ though.
If you don't like absolute value, then you can replace it by $\sqrt{x^2}$.
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thanks, this was exactly what i was looking for i will mark it as correct answer – Alexanus Apr 04 '19 at 17:55