HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 418)

100

101

Calculus – Transform

Laplace

Returns the Laplace transform of an expression.

laplace(Expr,[Var],[LapVar])

Example:

laplace(exp(x)*sin(x)) gives 1/(x^2-2*x+2)

Inverse Laplace

Returns the inverse Laplace transform of an expression.

ilaplace(Expr,[Var],[IlapVar])

Example:

ilaplace(1/(x^2+1)^2) returns ((-x)*cos(x))/2+sin(x)/2

FFT

With one argument (a vector), returns the discrete Fourier transform in R.

fft(Vect)

With two additional integer arguments a and p, returns the discrete Fourier transform in the eld Z/pZ, with a

as primitive nth root of 1 (n=size(vector)).

fft((Vector, a, p)

Example:

fft([1,2,3,4,0,0,0,0]) gives [10.0,-0.414213562373-7.24264068712*(i),-2.0+2.0*i,

2.41421356237-1.24264068712*i,-2.0,2.41421356237+1.24264068712*i,-2.0-2.0*i]

Inverse FFT

Returns the inverse discrete Fourier transform.

ifft(Vector)

Example:

ifft([100.0,-52.2842712475+6*i,-8.0*i,4.28427124746-6*i,

4.0,4.28427124746+6*i,8*i,-52.2842712475-6*i]) gives

[0.99999999999,3.99999999999,10.0,20.0,25.0,24.0,16.0,-6.39843733552e-12]

Solve

Returns a list of the solutions (real and complex) to a polynomial equation or a set of polynomial equations.

solve(Eq,[Var]) or solve({Eq1, Eq2,…}, [Var]) or solve(Eq, Var=Guess) or

solve(Eq, Var=Val1…Val2)

For optimal results, if the solution is known to be an approximation, either enter a guess or dene an interval

for the software to search for a solution.

370 Chapter 22 Functions and commands

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