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version 1.21 |
Graphics - Explorer |
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| half size examples |
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| y = a(x-4)+3 | y = a*sin(x) |
This program plots and prints 2D graphics of several types of equations.
Along a set of dots, the best fitting function is calculated.
Formulas may contain constants a,b or c, which are
changable at a mouseclick.
Graphics will adjust instantly to new values of a,b,c creating a
movie like effect while unveiling the role of the
particular constant.
Example:
y = a*sin(b*x + c)
where change of constants shows variation in
amplitude, frequency or phase.
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| y = 0.25x^2 - 5 {area} | y = 0.25(x-a)^2 |
Graphics-Explorer specifications
- coördinate system 600 * 450 pixels
- crosshairs with (x,y) indication
- 9 different colors and formulas
- scrolling and zooming with mouseclick, x/y independent
- add or delete dots with mouseclick or by table editing
- recognizes 4 types of equations:
| type | example | description |
| 1 | y = f(x) | y = 3cos(5x) | function |
| 2 | x = f(y) | x = (y-1)^2 | inverse |
| 3 | y = f(v) ; x = g(v) | y = 5sin(2v) ; x = 7cos(3v) | parametric |
| 4 | f(x) = g(x) | (x^2+y^2)(y^2+x(x+10))=40x*y^2 | implicit |
- enter polynomials, degree 0..7, in "coefficient" table
- operations on polynomials:
- reflections
- integration
- differentiation
- sum, difference, product
- use of constants a,b,c in formula's
- a,b,c changable by mouseclick, graphics adjust automatically
- plot function (type 1) 1..3 times differentiated
by simply preceding it by d:, dd: or ddd: .
example: y = d:sin(2x)
- plot function (type 1) integrated
by simply preceding it by i: .
example: y = i: 5sin(x)
- compute the area under a function
- compute polynomial of degree 0..7 through 1..40 dots.
- compute exponential functions through set of dots
| | y = a.b^x | y = a.b^x + c |
| | y = a.e^(bx) | y = a.e^(bx) + c |
| | y = e^(ax^2 + bx + c) |
- all colors adjustable to personal preference.
- add personal heading to plots and prints.
- save / reload user settings
- save / reload formulas
- copy graphic image to clipboard
- print graphics
- 7 sizes
- black / white or colored
- with / without backgroundcolor
- mouse- or keyboard operation
- in line help documentation
- 484kB (.exe) file
- for Windows 95 and up
- screen minimal 800*600 pixels
- no installation procedure, no changes in Windows Registry.
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| y=5sin(v)+3sin(5v);x=5cos(v)+3cos(5v) | (x^2+y^2)(y^2+x(x+10))=32x*y^2 |
Below is a true size example of Graphics-Explorer.
Buttons, edit windows and pull-down menu are not pictured.
Pictured is a parametric function:
(the sharp bends are the result of insufficient number of steps)
y = c(1+sin(a*v))sin(b*v) ; x = c(1+sin(a*v))cos(b*v)
where
a=42.41 b=21.0 c=5 and v runs from 0 to 10 in 400 steps