Function
(Picture explanation): What's new in version
4.0 ?
|
Function
|
Expression
input
|
Rectangular
coordinates
|
Curve
|
2
dim
|
Negative
f(x,y)=0
|
3-dimensional
solid curve can be made.
3-dimensional
surface: perfectly
|
Surface
|
3
dim
|
Negative
f(x,y,z)=0
|
Polar
coordinates
|
Curve
|
2
dim
|
Negative
f(r,u)=0
|
Sphere
coordinates
|
Cylindrical
coordinates
|
Curve
|
3
dim
|
Parametric
r=f(u): p=g(u): z=h(u)
|
Surface
|
3
dim
|
Parametric
r=f(u,v): p=g(u,v): z=h(u,v)
|
Other
figures
|
Curve
|
2,3
dim
|
Command
|
Surface
solid
|
2,3
dim
|
Command
|
Figure
Tools: Drawing things such as basic figures, functions, quadric curves, etc.
in 2- or 3-dimensional coordinates by using the mouse.
|
A
body of rotation - Rotating lines that are drawn by the
function-expression or figure tools or commands.
Making
a body of rotation centering around the rotation-axis which is
the axis of x,
y, z or any line or the line through two points
appointed by the angle and subdivision.
|
The
drawing screen
|
Adjusting
the size of coordinates region
|
2-dimensional coordinates
|
The
method displaying 2- dimensional coordinates
|
Displaying
the polar coordinates
|
Displaying the arrowheads: auto-option
|
Displaying the origin,
axis, coordinates values
|
auto
- option
|
The
method displaying 3-dimensional coordinates
|
Drawing the space-frame,
the coordinates-axis
|
3D
|
Displaying a full line or a dotted line of the space-
frame temporarily
|
(Not) displaying
middle lines of the surface of the space-frame
|
Making
selected items be continuously seen when we let
the space-frame be
rotated
(animation)
|
Displaying
coordinates values
|
auto
- option
|
Equally
dividing
interval of variable range; adjusting subdivision
of figure
for velocity, accuracy,
good picture
|
4.0 can re-adjust the
rectangular region with the mouse
|
Drawing
method
|
curve
|
point
unit
|
surface
unit
|
cylinder
unit (hidden surface removal)
|
rectangular,
cubic unit
|
ray
trace
|
a
body of rotation (hidden surface removal)
|
a
body of rotation ( surface unit)
|
surface
|
point
unit
|
line
unit
|
only
toward one variable direction
|
negative
- cross
section perpendicular to the x-axis
|
negative
- cross
section perpendicular to the y-axis
|
negative
- cross
section perpendicular to the z-axis
|
surface
unit
|
hidden surface
removal
|
cubic unit
|
ray
trace
|
color
of solid surface
|
|
by
black, white
|
by
the color of dialogue box (appointed color)
|
by
brightness
|
by
illumination
|
by
the color of dialogue box (appointed color( not to distinguish
faces)
|
transparently
(distinguishing
face)
|
shape
of solid surface
|
|
Triangle
-The polygon is subdivided to triangles.
|
Polygon
- leave as it is.
|
illumination
- in case of drawing 3-dimensional solid, direction
of light and intensive of light is adjustable.
also
appointing
the effect of shadow, transparency of light and
the index of refraction and the ratio of reflection.
|
appointing the color
|
background
of 'the drawing screen',
coordinate axis, internal color of figure
section
coordinate,
coordinate scale - appointment, auto option
|
separately
appointing color of character in 2D
or 3D screen.
|
appointing
line-thickness
|
thickness
|
Graph
or figure, coordinate axis, space-frame
|
8
~ 14
|
section
coordinate,
coordinate scale - appointment, auto option
|
length
|
coordinate
scale - appointment, auto option
|
type
|
a
dotted line
|
picture
collection screen
|
In
case of saving pictures by gcg file , the
bmp files is saved in the folder which is made below
the gcg file..
(Management
becomes convenient.)
|
Making the 'temporary graph memory display window'
or the contents above it to be seen
in a big window
|
function
|
inverse
trigonometric function,
hyperbolic function, inverse hyperbolic function, sgn, conj
|
Calculation
|
Single
Integral (indefinite
integral)
|
differentiation(derivative),
high order differentiation, partial differentiation
|
differential
coefficient,
high order differential coefficient , partial differential
coefficient
|
in
the field of complex numbers - included complex
operation and function
|
calculation
without regard to ciphers - decomposition to prime
factors,
nPr, nCr, nHr, n!, +,-,*,/, sqr
|
Matrix
- sum,
difference, product, scalar multiple, inverse matrix, determinant, cofactor
matrix, transpose matrix,
the echelon matrix, the solution of linear equation, alternating
product
|
statistic
analysis
|