Unit step function into geometric series
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The unit staircase function is defined as follows:
$f(t)=n$ if $n-1 le t < n$ for $n in {1,2,3, ldots}$.
How do you show that $displaystyle f(t) = sum_{k=0}^infty u(t-k)$?
linear-algebra laplace-transform geometric-series
asked Nov 18 at 9:44
G.L.
204
add a comment |
up vote
0
down vote
favorite
The unit staircase function is defined as follows:
$f(t)=n$ if $n-1 le t < n$ for $n in {1,2,3, ldots}$.
How do you show that $displaystyle f(t) = sum_{k=0}^infty u(t-k)$?
linear-algebra laplace-transform geometric-series
asked Nov 18 at 9:44
G.L.
204
How is $u$ defined?
– Viktor Glombik
Nov 18 at 9:49
u is just a function of t @ViktorGlombik
– G.L.
Nov 18 at 9:52
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
The unit staircase function is defined as follows:
$f(t)=n$ if $n-1 le t < n$ for $n in {1,2,3, ldots}$.
How do you show that $displaystyle f(t) = sum_{k=0}^infty u(t-k)$?
linear-algebra laplace-transform geometric-series
asked Nov 18 at 9:44
G.L.
204
The unit staircase function is defined as follows:
$f(t)=n$ if $n-1 le t < n$ for $n in {1,2,3, ldots}$.
How do you show that $displaystyle f(t) = sum_{k=0}^infty u(t-k)$?
linear-algebra laplace-transform geometric-series
linear-algebra laplace-transform geometric-series
asked Nov 18 at 9:44
G.L.
204
asked Nov 18 at 9:44
G.L.
204
edited Nov 18 at 10:51
asked Nov 18 at 9:44
G.L.
204
asked Nov 18 at 9:44
G.L.
204
asked Nov 18 at 9:44
G.L.
204
204
How is $u$ defined?
– Viktor Glombik
Nov 18 at 9:49
u is just a function of t @ViktorGlombik
– G.L.
Nov 18 at 9:52
add a comment |
How is $u$ defined?
– Viktor Glombik
Nov 18 at 9:49
u is just a function of t @ViktorGlombik
– G.L.
Nov 18 at 9:52
How is $u$ defined?
– Viktor Glombik
Nov 18 at 9:49
How is $u$ defined?
– Viktor Glombik
Nov 18 at 9:49
u is just a function of t @ViktorGlombik
– G.L.
Nov 18 at 9:52
u is just a function of t @ViktorGlombik
– G.L.
Nov 18 at 9:52
add a comment |
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How is $u$ defined?
– Viktor Glombik
Nov 18 at 9:49
u is just a function of t @ViktorGlombik
– G.L.
Nov 18 at 9:52