HP 49g+, Руководство пользователя, Страница: 420 / 862

Page 12-43
•
Press
$
, or
L @@@OK@@@
, to return to normal calculator display.
Other functions of a complex variable worth trying for Gridmap plots are:
(1) SIN((X,Y))
i.e., F(z) = sin(z) (2)(X,Y)^2 i.e., F(z) = z
2
(3) EXP((X,Y)) i.e., F(z) = e
z
(4) SINH((X,Y)) i.e., F(z) = sinh(z)
(5) TAN((X,Y)) i.e., F(z) = tan(z) (6) ATAN((X,Y)) i.e., F(z) = tan
-1
(z)
(7) (X,Y)^3 i.e., F(z) = z
3
(8) 1/(X,Y) i.e., F(z) = 1/z
(9)
√
(X,Y) i.e., F(z) = z
1/2
Pr-Surface plots
Pr-Surface (parametric surface) plots are used to plot a three-dimensional
surface whose coordinates (x,y,z) are described by x = x(X,Y), y = y(X,Y),
z=z(X,Y), where X and Y are independent parameters.
Note
: The equations x = x(X,Y), y = y(X,Y), z=z(X,Y) represent a parametric
description of a surface. X and Y are the independent parameters. Most
textbooks will use (u,v) as the parameters, rather than (X,Y). Thus, the
parametric description of a surface is given as x = x(u,v), y = y(u,v), z=z(u,v).
For example, to produce a Pr-Surface plot for the surface x = x(X,Y) = X sin Y,
y = y(X,Y) = x cos Y, z=z(X,Y)=X, use the following:
•
Press
„ô
, simultaneously if in RPN mode, to access to the PLOT
SETUP window.
•
Change
TYPE
to
Pr-Surface.
•
Press
˜
and type ‘{X*SIN(Y), X*COS(Y), X}’
@@@OK@@@
.
•
Make sure that ‘X’ is selected as the
Indep:
and ‘Y’ as the
Depnd
:
variables.
•
Press
L @@@OK@@@
to return to normal calculator display.
•
Press
„ò
, simultaneously if in RPN mode, to access the PLOT
WINDOW screen.
•
Keep the default plot window ranges to read:
X-Left:-1, X-Right:1, Y-Near:-1,
Y-Far: 1, Z-Low: -1, Z-High:1, XE: 0, YE:-3, zE:0,
Step Indep: 10, Depnd: 8
•
Press
@ERASE @DRAW
to draw the three-dimensional surface.
•
Press
@EDIT L @LABEL @MENU
to see the graph with labels and ranges.