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anonymous

  • one year ago

step functions

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  1. anonymous
    • one year ago
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    @dan815

  2. anonymous
    • one year ago
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    \[y(t)=u(7t+\sqrt{3})u(-7t+\sqrt{3})\]

  3. anonymous
    • one year ago
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    I know \[x(t)=u(7t+\sqrt{3})-u(-7t+\sqrt{3})\]|dw:1440375606620:dw|

  4. anonymous
    • one year ago
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    but how do I deal when these 2 multiply?(unsure of the term)

  5. dan815
    • one year ago
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    okay

  6. dan815
    • one year ago
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    |dw:1440375911517:dw|

  7. dan815
    • one year ago
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    |dw:1440375965652:dw|

  8. dan815
    • one year ago
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    |dw:1440375988588:dw|

  9. dan815
    • one year ago
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    think about it like multiplying each value at every t individually

  10. dan815
    • one year ago
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    its not easy to draw but say u had different function like

  11. dan815
    • one year ago
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    |dw:1440376046700:dw|

  12. dan815
    • one year ago
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    if u multiply these 2 functions ud multiply each value along a vertical line

  13. dan815
    • one year ago
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    |dw:1440376108339:dw|

  14. dan815
    • one year ago
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    just like say u have y=x*x^2

  15. dan815
    • one year ago
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    |dw:1440376181686:dw|

  16. dan815
    • one year ago
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    |dw:1440376277825:dw|

  17. dan815
    • one year ago
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    its the same thing

  18. anonymous
    • one year ago
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    I never thought of this way before

  19. dan815
    • one year ago
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    this is what multiplcation is functions are just continious multiplcation sets

  20. dan815
    • one year ago
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    for the times table u have for the 2s time table 1*2 2*2 3*2 but for Y=2x for this time table now x is continous

  21. dan815
    • one year ago
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    are u good with this stuff now?

  22. anonymous
    • one year ago
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    Why is it that the plot on your example the 2u had to go at the same level as u?

  23. dan815
    • one year ago
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    |dw:1440376557785:dw|

  24. dan815
    • one year ago
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    this one?

  25. anonymous
    • one year ago
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    yes

  26. dan815
    • one year ago
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    these are different levels

  27. dan815
    • one year ago
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    2U has amplitude 2

  28. dan815
    • one year ago
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    |dw:1440376581704:dw|

  29. anonymous
    • one year ago
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    but if you had u(t+a)*2u(t-a)?

  30. dan815
    • one year ago
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    |dw:1440376646588:dw|

  31. dan815
    • one year ago
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    |dw:1440376664632:dw|

  32. anonymous
    • one year ago
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    ooooooooooo I seee now haha

  33. dan815
    • one year ago
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    |dw:1440376702885:dw|

  34. anonymous
    • one year ago
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    One last thing, can they be rewrote differently but get the same exact plot? Like for example \[x(t)=u(7t+\sqrt{3})-u(-7t+\sqrt{3})\] gives the same plot as \[y(t)=u(7t+\sqrt{3})u(-7t+\sqrt{3})\]

  35. dan815
    • one year ago
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    yes in thsi case there are equal

  36. dan815
    • one year ago
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    just like how 2*2 = 2+2

  37. anonymous
    • one year ago
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    ooo interesting, I have it all clear now

  38. anonymous
    • one year ago
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    I see, thanks you!

  39. dan815
    • one year ago
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    np :)

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