#### transgalactic

##### Banned

i need to prove that

[latex]

M_{f(t)}=0.5\int_{t-1}^{t+1}f(u)du

[/latex]

is time invarient

?

i know that

i need to get the same result for a shift in time

[latex]

M_{f(t-x)}=0.5\int_{t-1-x}^{t-x+1}f(u-x)du

[/latex]

u-x=s -> du=ds

[latex]

M_{f(t-x)}=0.5\int_{t-1-x}^{t-x+1}f(s)ds

[/latex]

so what now??

how does it prove that

[latex]

M_{f(t-x)}=M_{f(t)}

[/latex]

??

??

[latex]

M_{f(t)}=0.5\int_{t-1}^{t+1}f(u)du

[/latex]

is time invarient

?

i know that

i need to get the same result for a shift in time

[latex]

M_{f(t-x)}=0.5\int_{t-1-x}^{t-x+1}f(u-x)du

[/latex]

u-x=s -> du=ds

[latex]

M_{f(t-x)}=0.5\int_{t-1-x}^{t-x+1}f(s)ds

[/latex]

so what now??

how does it prove that

[latex]

M_{f(t-x)}=M_{f(t)}

[/latex]

??

??

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