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sasogeek Group Title

what does absolute value mean?

  • one year ago
  • one year ago

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  1. Shadowys Group Title
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    mathematical description or layman description?

    • one year ago
  2. Shadowys Group Title
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    |x| --> x if x>0, or -x if x<0

    • one year ago
  3. sasogeek Group Title
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    wha...? :s i'm lost

    • one year ago
  4. Shadowys Group Title
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    lol that's the mathematical description. in layman terms, if x is positive, like 4, then the absolute value of it is 4. if x is negative, like -5, then the absolute value of it is 5.

    • one year ago
  5. sasogeek Group Title
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    how do u determine it?

    • one year ago
  6. EulerGroupie Group Title
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    Do you have an example?

    • one year ago
  7. sasogeek Group Title
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    find the absolute value of x

    • one year ago
  8. EulerGroupie Group Title
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    I liked @Shadowys 's description.

    • one year ago
  9. EulerGroupie Group Title
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    His mathematical description was a great answer for your question.

    • one year ago
  10. sasogeek Group Title
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    i know if i have |x| the solution is |x|=x that i know. my question is, how do you arrive at that conclusion... proof?

    • one year ago
  11. Shadowys Group Title
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    it's the definition. the proof is the first line i gave you. the mathematical description.

    • one year ago
  12. EulerGroupie Group Title
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    It's only x if x is positive. It is -x if x is negative. It's one of those things that is so simple that it becomes tricky again. Say we are looking for |x| and x is -4... the answer is 4... but from the perspective of the original x, the answer is -(-4)=4.

    • one year ago
  13. sasogeek Group Title
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    google: "The magnitude of a real number without regard to its sign" i don't see that in ur description/definition/proof.... there's nothing related to magnitudes :/

    • one year ago
  14. EulerGroupie Group Title
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    I've never seen a more rigorous proof than the piece-wise description given by @Shadowys . The literal meaning is: distance from the origin.

    • one year ago
  15. Shadowys Group Title
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    i.e. that's the layman terms. also, i.e. that's in terms of vectors. |-4|-->4 |-2|-->2 |-x|-->x, for x>0

    • one year ago
  16. sasogeek Group Title
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    i don't think it's enough to settle with |x|=x, |-z|=z ...

    • one year ago
  17. Shadowys Group Title
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    yes. it is not.

    • one year ago
  18. sasogeek Group Title
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    it doesn't make sense

    • one year ago
  19. Shadowys Group Title
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    |x| --> x if x>0, or -x if x<0 this is the definition. in fact, it's called the absolute value function. that means it must be like that. MUST

    • one year ago
  20. sasogeek Group Title
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    why?

    • one year ago
  21. Shadowys Group Title
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    there is no why in this. it is defined that way. the reason you're learning this because this particular function has importance in geometrical analysis.

    • one year ago
  22. sasogeek Group Title
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    let's just say there is a why. there's a reason for everything, if not i could just make my own math rules and say everyone MUST follow that rule.... unless u don't know the answer to the why in this... :/

    • one year ago
  23. sasogeek Group Title
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    @Zarkon

    • one year ago
  24. Shadowys Group Title
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    yes. you can make your own rules, if they have an importance in something and if they conform to the original rules of mathematics.

    • one year ago
  25. sasogeek Group Title
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    well i'm still not satisfied with the given answer.

    • one year ago
  26. Zarkon Group Title
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    if x<0 then x is negative...so -x is positive thus |x|=-x

    • one year ago
  27. sasogeek Group Title
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    @Shadowys would you say that |y+1|=y+1?

    • one year ago
  28. Zarkon Group Title
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    only if \(y+1\ge0\)

    • one year ago
  29. Zarkon Group Title
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    if \(y+1<0\) then \(|y+1|=-(y+1)\)

    • one year ago
  30. sasogeek Group Title
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    what's with the magnitude mentioned in the definition by google?

    • one year ago
  31. sasogeek Group Title
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    magnitude is distance... right?

    • one year ago
  32. EulerGroupie Group Title
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    From a linear geometric perspective, yes. If we are talking about pressure, for example, not really.

    • one year ago
  33. Zarkon Group Title
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    the absolute value of a number is its distanceto the origin

    • one year ago
  34. sasogeek Group Title
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    okay now this makes more sense than the earlier explanation/definition... thanks :)

    • one year ago
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