Hp Prime Graphing Calculator Uživatelský manuál stáhnout pdf (Strana 329)

100

101

Functions and commands 325

Series Returns the series expansion of an expression in the vicinity of

a given equality variable. With the optional third and fourth

arguments you can specify the order and direction of the

series expansion. If no order is specified the series returned is

fifth order. If no direction is specified, the series is

bidirectional.

series(Expr,Equal(var=limit_point),[Orde

r],[Dir(1,0,-1)])

Example:

series((x^4+x+2)/(x^2+1),x=0,5) gives 2+x-2x^2-

x^3+3x^4+x^5+x^6*order_size(x)

Summation With two arguments, returns the discrete antiderivative of the

expression with respect to the variable.

sum(Expr,Var)

With four arguments, returns the discrete sum of the

expression with respect to the variable from a to b.

sum(Expr,Var,VarMin(a),VarMax(b))

Example:

sum(n^2,n,1,5) gives 55

Differential

Curl Returns the rotational curl of a vector field, defined by:

curl([A,B,C],[x,y,z])=[dC/dy-dB/dz,dA/dz-dC/dx,dB/dx-

dA/dy].

curl(Lst(A,B,C),Lst(x,y,z))

Example:

curl([2*x*y,x*z,y*z],[x,y,z]) gives [z-x,0,z-

2*x]

Divergence Returns the divergence of a vector field, defined by:

divergence([A,B,C],[x,y,z])=dA/dx+dB/dy+dC/dz.

divergence(Lst(A,B,C),Lst(x,y,z))

Example:

divergence([x^2+y,x+z+y,z^3+x^2],[x,y,z])

gives 2*x+3*z^2+1

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