where
$^\prime ={t}_{2}-$ and
$\stackrel{~}{h}()=h(-)$ for all
$\in \mathbb{R}$ .
${Y}_{t}$ is WSS if
${X}_{t}$ is WSS and the linear system is time-invariant.
${X}_{t}$ is a wide sense stationary process with
${}_{X}=0$ , and
${R}_{X}()=\frac{{N}_{0}}{2}()$ .Consider the random process going through a filter with impulse
response
$h(t)=e^{-(at)}u(t)$ .The output process is denoted by
${Y}_{t}$ .
${}_{Y}(t)=0$ for all
$t$ .
The power spectral density function of a wide sense stationary (WSS)
process
${X}_{t}$ is defined to be the Fourier transform of the autocorrelation functionof
${X}_{t}$ .
$${S}_{X}(f)=\int_{()} \,d $$∞∞RX2f
if
${X}_{t}$ is WSS with autocorrelation function
${R}_{X}()$ .
Properties
${S}_{X}(f)={S}_{X}(-f)$ since
${R}_{X}$ is even and real.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?