step functions

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step functions

Mathematics
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\[y(t)=u(7t+\sqrt{3})u(-7t+\sqrt{3})\]
I know \[x(t)=u(7t+\sqrt{3})-u(-7t+\sqrt{3})\]|dw:1440375606620:dw|

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Other answers:

but how do I deal when these 2 multiply?(unsure of the term)
okay
|dw:1440375911517:dw|
|dw:1440375965652:dw|
|dw:1440375988588:dw|
think about it like multiplying each value at every t individually
its not easy to draw but say u had different function like
|dw:1440376046700:dw|
if u multiply these 2 functions ud multiply each value along a vertical line
|dw:1440376108339:dw|
just like say u have y=x*x^2
|dw:1440376181686:dw|
|dw:1440376277825:dw|
its the same thing
I never thought of this way before
this is what multiplcation is functions are just continious multiplcation sets
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
are u good with this stuff now?
Why is it that the plot on your example the 2u had to go at the same level as u?
|dw:1440376557785:dw|
this one?
yes
these are different levels
2U has amplitude 2
|dw:1440376581704:dw|
but if you had u(t+a)*2u(t-a)?
|dw:1440376646588:dw|
|dw:1440376664632:dw|
ooooooooooo I seee now haha
|dw:1440376702885:dw|
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 \[y(t)=u(7t+\sqrt{3})u(-7t+\sqrt{3})\]
yes in thsi case there are equal
just like how 2*2 = 2+2
ooo interesting, I have it all clear now
I see, thanks you!
np :)

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