## anonymous one year ago step functions

1. anonymous

@dan815

2. anonymous

$y(t)=u(7t+\sqrt{3})u(-7t+\sqrt{3})$

3. anonymous

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

4. anonymous

but how do I deal when these 2 multiply?(unsure of the term)

5. dan815

okay

6. dan815

|dw:1440375911517:dw|

7. dan815

|dw:1440375965652:dw|

8. dan815

|dw:1440375988588:dw|

9. dan815

think about it like multiplying each value at every t individually

10. dan815

its not easy to draw but say u had different function like

11. dan815

|dw:1440376046700:dw|

12. dan815

if u multiply these 2 functions ud multiply each value along a vertical line

13. dan815

|dw:1440376108339:dw|

14. dan815

just like say u have y=x*x^2

15. dan815

|dw:1440376181686:dw|

16. dan815

|dw:1440376277825:dw|

17. dan815

its the same thing

18. anonymous

I never thought of this way before

19. dan815

this is what multiplcation is functions are just continious multiplcation sets

20. dan815

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

are u good with this stuff now?

22. anonymous

Why is it that the plot on your example the 2u had to go at the same level as u?

23. dan815

|dw:1440376557785:dw|

24. dan815

this one?

25. anonymous

yes

26. dan815

these are different levels

27. dan815

2U has amplitude 2

28. dan815

|dw:1440376581704:dw|

29. anonymous

30. dan815

|dw:1440376646588:dw|

31. dan815

|dw:1440376664632:dw|

32. anonymous

ooooooooooo I seee now haha

33. dan815

|dw:1440376702885:dw|

34. anonymous

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

yes in thsi case there are equal

36. dan815

just like how 2*2 = 2+2

37. anonymous

ooo interesting, I have it all clear now

38. anonymous

I see, thanks you!

39. dan815

np :)