unit sample is defined by $(n)= 1 at n=0; = 0 otherwise; Used for to decompose the arbitrary signal x(n) into summation of weighted and shifted unit samples as follows x(n)=( summation of limit k=- infinite to + infinite) x(k)$(n-k)
An infinite series of points
It's not. It depends on the method you use for summation whether summation > integral or integral > summation.
1+x/1!+x^2/2!+.......x^n/n!
A summation is a recap of all the highlights of a presentation.
The infinite series is 1 - x2/2! + x4/4! - x6/6! + ...
Frederick H. Young has written: 'Summation of divergent infinite series by arithmetic, geometric, and harmonic means' -- subject(s): Infinite Series 'The nature of mathematics' -- subject(s): Mathematics
A maclaurin series is an expansion of a function, into a summation of different powers of the variable, for example x is the variable in ex. The maclaurin series would give the exact answer to the function if the series was infinite but it is just an approximation. Examples can be found on the site linked below.
An aperiodic signal cannot be represented using fourier series because the definition of fourier series is the summation of one or more (possibly infinite) sine wave to represent a periodicsignal. Since an aperiodic signal is not periodic, the fourier series does not apply to it. You can come close, and you can even make the summation mostly indistinguishable from the aperiodic signal, but the math does not work.
in statistics, summation denoted by upper case sigma, is used to find the sum of a series of observation in a particular variable.
Consider that a sawtooth waveform is the summation of the infinite series of sine waves with amplitude equal to 1 over the multiplier of the frequency. Now you can take the derivative, or at least approximate it. You will find that the derivative of a sawtooth is a pulse, in the ideal case, a pulse with infinite amplitude and zero width.
unit sample is defined by $(n)= 1 at n=0; = 0 otherwise; Used for to decompose the arbitrary signal x(n) into summation of weighted and shifted unit samples as follows x(n)=( summation of limit k=- infinite to + infinite) x(k)$(n-k)
William John Swartz has written: 'On convergence of infinite series of images' -- subject(s): Infinite Series, Series, Infinite
unit sample is defined by $(n)= 1 at n=0; = 0 otherwise; Used for to decompose the arbitrary signal x(n) into summation of weighted and shifted unit samples as follows x(n)=( summation of limit k=- infinite to + infinite) x(k)$(n-k)
Not possible, summing an infinite series would take infinite time.
Tetanus.
It depends on the series.