Comparison of features between versions 5 and 4e
(the blue text:
how to use (ver 4.0))

Table 1

functions

5

4e

Formula input

Rectangular
coordinate system

Cur
ve

2D

Positive
function
y=f(x), x=f(y)

O

O

Parametric
function
x=f(u): y=g(u)

Implicit
function
f(x,y)=0

3D

Parametric
function
x=f(u): y=g(u): z=h(u)

Cur ved
sur face

3D

Positive
function
z=f(x,y), x=f(y,z), y=f(z,x)

Parametric
function
x=f(u,v): y=g(u,v): z=h(u,v)

Implicit
function
f(x,y,z)=0

Polar
coordinate system

Cur ve

2D

Positive
function
r=f(u), u=angle

Implicit
function
f(r,u)=0

Spherical
coordinate system

Cur ve

3D

Parametric
function
r=f(u): c=g(u): p=h(u)

Cur ved
sur face

3D

Positive
function
r=f(u,v)

Parametric
function
r=f(u,v): c=g(u,v): p=h(u,v)

Cylindrical
coordinate system

Cur ve

3D

Parametric
function
r=f(u): p=g(u): z=h(u)

Cur
ved
sur face

3D

Parametric
function
r=f(u,v): p=g(u,v): z=h(u,v)

Other shapes

Cur ve

2,3D

Using commands
 in a dialog box or input window

sur face,
soliId

2,3D

Using commands
 in a dialog box or input window


Range,
Scl,
Wchr commands

X

Figure
tool


Drawing of basic shapes, functions, quadratic curves, etc. using only the mouse in 2D and 3D coordinate systems

O

(1, 7) Draw arbitrary lines (curves)
 Add and delete lines (curves)
14. Using 'graph, figure information window', 15. Coordinates, section paper; grid, 16. Coordinates, coordinate axes only1,
7)
17.Polar coordinates
Half (circle, ellipse), half ellipse, oval (fan, arc)

X

Rotating body  rotation of lines drawn with functions and drawing tools, lines drawn with commands, etc.
Creates a rotating body at a specified angle and subdivision around the x, y, z axis and
a randomly defined straight line or a straight line passing through two specified points.

O

Transformation
 Designate a graph or figure to be drawn by designating it
(parallel movement, rotational movement, symmetrical movement,
transformation by matrix, orthogonal projection, composite transformation, etc.)

TrackingTracking the position value of the graph

Zoom in/out of graph
 Zoom in or out of the graph centered on the specified point or flashing point
or center of the screen

Table 2

functions

5

4e

Drawing
Screen

Adjustable to size

O

O

Resize the coordinate system area

2D coordinates system

2D coordinates system

Relating to the twodimensional coordinate system display method

Grid coordinates display

Show Coordinates Axis Only

Do not display

polar coordinates system display

Arrowhead display: Automatic and options

Display origin, axis and coordinate values

Direct input

Automatic and Options

Relating to the threedimensional coordinate system display method

Draw Space frame and coordinate axis

2D

3D

Space frame (not) visible

Temporary display of dotted and solid lines in the space frame

Whether the line is displayed in the middle of the space frame surface

Draw a line to grasp the spatial location of a point

O

X

Space frame display method
 parallel and perspective projection

O

O

When the space frame is rotated, view
the selected items consecutively (animation)

Arrowhead, axis display: Automatic

Display coordinate values

Direct input

Automatic (and Options)

Variable range section equalization and shape subdivision adjustment
 Adjust for speed, accuracy, and good picture

Coordinate Axis Actual Distance Ratio Auto Options ; to 1:1

Specify the area to draw only the area to be drawn in the coordinate range
(Square area mouse control)

Character input
 make the background transparent or opaque
Modify Character, move, delete, copy, paste, etc.

2D:
Coordinate range including function values  Automatic adjustment

X

Create SET_Range (current coordinate range)

Character separation
When drawing and input (to the picture collection screen), when saving (gcm)

O

Save

As bmp file: drawing screen picture only

As gcm file: Pictures, contents and pictures are saved as bmp separately
As gcd file :drawn graph only

When saving (gcm, gcg) for a reproducible formula editor's picture (formula)
Check whether or not exclusion

O

X

Edit

Copy, cut (specify area), paste (string, picture)

O

O

Paste (from formula editor)

X

Symbols...

Formula Editor...

Modify ; move ; unchecked 'RC'

character modification

O

Select, move

picture operation

X

Shape correction: unchecked 'RC'

Drawing shapes:'RC' without check mark

Delete: (Selected)

Copy and paste (selected)

Paste (related to the above two menus)

character modification, location shift: [Delete all, restore (recently deleted), string(copy, delete, paste)]

X

O

To the very front, To the very back

O

X

Change: character background

Make the color you specify transparent

Show overlapping bottom

Tie, untie

Regenerating pictures of the formula editor

Select All

View

a
Graduated ruler

O

X

Figure
information of 'figure Tools'

Information
on characters and figures drawn when '...RC'
is unchecked state

Information
of 'graph and figure' related to coordinates

Info
window of 'graph and figure': To the
right

Where
to input the range of coordinates and variables

Only
the drawing screen

Change
function arangement

Frame
rotation button

Screen
zoom

Function
name

(drawing
screen)
Paste Picture  as background

Language
used
 Korean, English

Formula
input(keyboard)

Selection,
Move(keyboard)

Setting
of start environment

Onscreen picture enlargement, reduction, inversion, view picture description

O

Picture operation (OR, XOR, AND, NOT, making the specified color transparent)

X

Drawing
method

Curve

Point
unit

O

O

line
unit

face
(polygon)
unit

cylinder
unit (hidden surface removal)

rectangle,
rectangular parallelepipe unit

ray
trace

rotationbody(hidden
surface removal)

rotationbody(face
unit)

ray
trace
 A frame surrounding a point

X

Curved
surface

Point
unit

O

line
unit

In two
variable directions

Only in one variable direction

Implicit function : cross section perpendicular to the x axis

Implicit function : cross section perpendicular to the y axis

Implicit function : cross section perpendicular to the z axis

face
(polygon)
unit

hidden
surface removal

rectangular
parallelepipe unit

ray
trace

Color
of solid surfaces

black,
white

O

O

color
in the color dialogue box (With the specified color)

brightnesscolor
in memory

illuminationcolor
in memory

As the color (specified color) in the color dialog box (no face division)

Transparent (with face division)  frame

Shape
of solid surfaces

triangle
 The subdivision of the polygon that make up the face into triangles.

Polygon
 Leave the point that forms the face


Number
of vertexes of line(Cylinder type)(3~20), Blocked
cylinder type

X

LightingAdjust the direction and intensity of light when drawing a 3D solid
Also specify the shadow effect and light transparency and refractive and reflectance.

O

O

3D coordinate system direction control (space frame direction control)
 Can be drawn in various directions.

Direct input of rotation angle

Option button for specific direction

X

Correct the restriced area, color, and thickness of the graph you drew

O

Color
designation

Graph
or shape

Screen background, coordinate axis, and shape interior
Grid coordinates, coordinate scalespecified and automatic options

Specify character colors separately
in 2D and 3D screen.

the inside of the figure (tool) 2

X

Line color (automatic adjustment of brightness)
 Specified color, color according to brightness, and inverse of color depending on brightness

Line
designation

thickness

Graphs or shapes, axes,
Space frame

1
~ 7

O

O

8
~ 14

Grid coordinates, coordinate scale designation and automatic options

Length

Coordinate scale designation and automatic option

type

Solid line

dotted line

To stop in the middle of drawing, tracking, or calculating

Picture
Collection Screen

Collection screen paper size adjustment

O

O

Resize picture box to contain

existing option

B: 100% input automatic

X

Create and input and move picture boxes to contain

O

Modification Mode  Allows you to modify the contents
and the picture of the selected picture box by moving it to the drawing screen.

Group file (gcg) list view
: When multiple group files are created or opened, gcg files of the selected list can be viewed
View explanation contents of selected picture box

Copy, delete, and paste picture boxes

Add page, delete page, move page

Save: Save together as a gcg file, or only the selected one as a gcm file
or Only the expression for the selected one is as a gcd file

Change picture box name (individual file name)

Modify (move to formula editor), Modify (move to drawing screen)

X

Edit

Copy,
paste(picture)

paste(from
formula editor)

Formula
editor...

Select
all(current page)

copy
current page(picture)

(copy)Selected pictures margin.

To the very front, To the very back

Change: character background

Make the color you specify transparent

Show overlapping bottom

Tie, untie

Regenerating pictures of the formula editor

View

Picture
box name

Picture frame border

Ruler, grid settings...

Picture Collection Screen Tools Menu

Selection, Move (Keyboard)

Setting start environment

Language used (Korean, English)

Reexecution

Using the executed expression collection window

O

information window of Graph and figure related to coordinate system(temporary graph memory display window)

Import the gcm file into the drawing screen or preserve the contents in the graph and figure information window (temporary memory display window) of the drawing screen in the modification mode on the picture collection screen (that is, add on it)

O

View the graph, figure information window (temporary graph display window) related to the coordinate system, or the contents of the window above it in a large window

View information window of figure and character not checked in 'RC' and its contents

X

Print

Drawing
screen, Picture collection screen(All, seleted
pictures or group, designated page, Specifying the size and number of drawing screen picture

O

O

Preview,
Setting margin...
Designation among Background color + content, bitmap, contents; Move Coordinate value to the very front
Number of print copies, etc.

X

Coordinate Range and Scale Interval, Arbitrary Direct Entry of Variable Range, and Default Designation

O

Function

Trigonometric function,
int, abs, exp, log, ln, sqr, x^y, Pi, atn

Inverse trigonometric function, hyperbolic function, inverse hyperbolic function,
sgn, conj

Draw function graph in the builtin range by doubleclicked function

Table 3

functions

5

4e

Calculation

Scientific(approximated
value)

O

O

Quotient
calculation(True value)

Parmetric
multivariable function expression calculation

Single
integral

Numerical integral

Indefinite integral

Double
integral

Differentiation(Derivative),
(Highorder differential, Partial differential)

Differential
coefficient, (Highorder, Partial)

Calculation
in complex numbers  Complex number operations and functions included

Unlimited number of digits : prime factorization, nPr, nCr, nHr, n!, Arithmetic operation(+,,*,/), sqr

Matrix
calculation

 Sum,
Difference, Product, Scalar product, Inverse matrix, Determinant, Cofactor
matrix, Transposed matrix,
Echelon, solution of a simultaneous equation, alternating product
of row vectors

Data
transformation 
Adjust arrangement of matrix A or B, Extract
columns of matrix A or B; Change the column
position of matrix A or B

X

Input(keyboard)

Decomposition
LU, QR, SVD

Diagonalization
of matrix, Schur Decomposition

Cross
product, inner product of two row vectors; (Inner
product of A and B), Length of A
Distance
between A and
B

Characteristic
Polinomial of square matrix A

Eigenvalue,
Eigenvector

Transforming
the matrix A  To Hessenberg form, To
Bidiagonal form, To Frobenius form

Root
of a characteristic equation(complex numbers
range): Root of an equation f(z) = 0

Matrix
A test  Symmetric, Skewsymmetric, Hermitian, skewHermitian,
Unitary, Normal

Matrix,
vector Norm  Euclidian, Column Norm, Row
Norm,
Normalization of column vectors

window
arrangement

Verification
display
SVD, Schur decomposition, Diagonalization
of A

Eigenvector
decimal place display

Rational
mumber  Decimal display method: Diaplay
as decimal, Only for infinite decimal as
(improper) fraction,
Only for infinite decimal as (proper) fraction, Display
as (improper) fraction, Display as (proper)
fraction

Programming
 (Matrix calculation, graphic)
Basic commands similar to 'software basic language'
commands related with matrix and graphicasic

Statistical
calculation

File
Open, Save, Print

O

O

Data

Data
(sample) input classification

sample
values,
name labels designation


Distiction picture explanation

X

Change
sample input form

Input
status,
sample classification method

O

(*)Function
transformation
Change
the position of rows and columns
Input
row number
(*)Get
inverse matrix
(*)matrix
Cholesky decomposition: Get P like A = P'P

X

Check
items,
run checked items

Check
items
Group
to calculate, Horizontal  Vertical calculation
Calculation,
Graph, Frequency table
Class
interval in classclassification
Condition
for region and color of a graph, characters

O

Run
ckecked items
Run
the calculation
Create
frequency table
Draw
a graph
Run
HorizontalVertical calculationi
Stop
execution

ABType

1
Variable: Measure of Center  trendency, Measure of
variation
Estimation,
Test
2
Variables: Sample regression line, regression parabola, correlation
coefficient, Estimation,
Test
3
Variables: Sample regression plane, Quadratic surface. correlation
coefficient,
Test

CType

Model
of regression equation

O

Regression
coefficient Estimation 
OLS

WLS,GLS

X

Investigation
for regression models

Investigate
multicollinearity between independent variables.
Investigate
observations (outlier, influential).
Investigate
Autocorrelation.
Residual
data for independency, normality investigation

O

Estimation,
Test
Variable
Choice( To find best regression eqution
etc.)

Sample
regression coefficient
Analysis
of variance,
Error term variance, Coefficient of determination, Mallow's
statistic
Sample
correlation coefficient
Regression
coefficient,
(Co)variance
Residual
Variancecovariance

Fre
quency
table

Items
to include in the frequency table,
Table
for 1, 2, 3 variables

Graph

1
Variable

Line
diagram,
Histogram, Frequency polygon, Cumulative
frequency function,
Box diagram, Circle graph

O

Normal probability paper

X

Function,
Curve  Function of povwer of test, OC
Curve, probability or density function

2
Variables 
Scatter diagram, Regression line, Regression
parabola, Bar graph

O

3
Variables 
Regression plane, Regression quadratic surface, Bar
graph

For
CType

Scatter
diagram,
Regression curve, Regression surface, Scatter
diagram of residual, Confidence band of mean
response, Prediction interval

Normal
probability paper

X

Others

Distribution
table,
Test table

Binomial
distribution
Normal
distribution
Student's t distribution
Chisquare distribution
Kolmogorov
 Smirnov test
F
distribution (95%, 99%)
DurbinWatson test
Table
for nonparmetric methods
(A: randomness test,
B: Equality test,
C: Wilcoxen's Singedrank test
D:
Wilcoxen' Rank sum test,
E: MannWhitney Utest
F: KruskalWallis test,
G: Friedman test,
H: Spearman
rankorder correlation coefficient)

Calculation
of distribution function

Factor
experiments

O

Comparison
of 'means, variance' of two normal distributions
Chisquare
test
Comparison
of two regression lines, Comparison of slop
of two regression lines
Autocorrelation
test
Nonparametric
methods
 median sign test, sample randomness test, equivalence test of distribution function, Wilcoxon 1 sample test, 2 sample ranksum test, MannWhitney U test, KruskalWallis test, Friedman Test, Rrank correlation
coefficient

X

Window

Input
window,
Result window

O

Table
box(result window 2),
Backup window

X

Table 4

functions

5

4e

Mark the area to be colored

Function
y=f(x); x=f(y)
1
General 2 y>f(x); x>f(y)
3 y <f(x); x<f(y)
4
y>f(x) or y <f(x); x>f(y)
or x<f(y)

O

X

Hyperbola,
Parabola  Region with focus, Region without
focus,
Both above

Polygon
Fillmode(A) Alternate, Winding

Figure
Fillstyle(B)
 Solid, Horizontal line, Vertical line, Upward
Diagonal, Downward Diagonal,
Cross, Cross Diagonal

Make
the overlapped lower part be viewed

y=f(x);
x=f(u)l y=g(u); x=f(y); r=f(u) Function
Graph: Putting color into

Command
figure: Putting color into

A,
B Fixing (input in memory)

Formula
Editor

File
Open, Save, Print

Sending:
to the drawing screen or to the picture
collection screen

Edit

Copy, Paste, Cut, Delete, Undo,
Redo, Select All

View,
Style, Size Definition, Form  (Template, Matrix, Row
spacing) Rules
Rules can be applied in whole or individually, math functionsautomatic, etc.

Help

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