Demonstrations
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Graphing
A good place to start. This application shows how to register data points
from within a program, clear data from a graph, and change scale.
Right click on the graph to bring up the Inspector while the program is running. |
| GraphTst.ZIP Pascal source and Delphi project. |
| GraphTst.EXE Application only. |
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Numbers
Getting numbers, i.e., real numbers of the form 6.26E+3, into a program
can be difficult because standard Delphi objects only understand characters.
SNumbers were created to solve this problem. Just draw
an SNumber on a Delphi form. The
SNumber takes care of converting the keystrokes into
the double precision representation necessary to do calculations. The SNumber
will turn red to warn the user if s/he makes a typing error. It will turn yellow
when a number has been changed but that the computer has not yet read the number.
SSliders are another object in Science Tools. Their maximum and minimum
values can be floating point numbers, unlike Windows sliders which can only take on
integer values. Notice that
the slider can be tied to a SNumber component so that these components mirror each other's
values. See the OnFormCreate method in this application. |
| Slider.ZIP Pascal source and Delphi project. |
| Slider.EXE Application only. |
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Input Output Testing
Combine a graph, number input, and sliders in a single application. A data point will
be added to the graph whenever you move the slider.
You can also plot of an analytic function on the graph using the built in parser. |
| IO_Test.ZIP Pascal source and Delphi project. |
| IO_Test.EXE Application only. |
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Matrix Plot
Plot a function of two variables, F(x,y), as a contour plot, a 2D surface plot,
or as a checker plot. Switch between these representations at run time and
compare rendering speed. Be sure and right mouse click on the plot to see
how the inspector works.
A useful app for learning how to use the parser. |
| MatPlot.ZIP Pascal source and Delphi project. |
| MatPlot.EXE Application only. |
Instructor's Etudes
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Quadratic
Solve the quadratic equation and graph the result. Use this
example to build your first program, a linear equation solver. |
| Quad.ZIP Pascal source and Delphi project. |
| Quad.EXE Application only. |
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Sinc Function
Plot multiple functions on a single SGraph. Numerical methods for
the integral and derivative are introduced. Use this example as a
template for code documentation. |
| Sinc.ZIP Pascal source and Delphi project. |
| Sinc.EXE Application only. |
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Linear Regression
Regression example for homework exercise #3. Use my solution for this
exercise to test your solution! You can copy my interface or design your own but be
sure and document your code. |
| Regress.ZIP not available! |
| Regress.EXE Application only. |
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Pendulum
Pendulum demonstrates how to solve an ODE and animate the solution.
Animation is an advanced technique and is not required for
homework. Write your own ODE code for the homework exercise.
It is better to use the Euler or Verlet method than to
use a method, such as Runge-Kutta, that you don't understand yet. |
| Pendulum.ZIP Pascal source and Delphi project. |
| Pendulum.EXE Application only. |
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Vector Transformations
Transform a vector using a 2 D matrix. This is a good example
of how to draw onscreen using the mouse. |
| Transfor.ZIP Pascal source and Delphi project. |
| Transfor.EXE Application only. |
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Finding Roots
Find a root using Newton's method. |
| Transfor.ZIP Pascal source and Delphi project. |
| Transfor.EXE Application only. |
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Galton
Many of you will recognize the relationship between this simulation and the "penny toss"
experiment that we do in Physics 120/130 lab. A ball is dropped onto a board with rows of pegs., i.e., a Galton board.
It has a 50/50 probability of bouncing to the right or left at a peg before it moves on to
the next row. After 10 rows we see how many more times the ball bounced to the right than to the
left. Remember that the bounce is random so it is possible-- but not likely-- that the ball bounces
to the left (or right) 10 times. |
| Galton.ZIP Pascal source and Delphi project. |
| Galton.EXE Application only. |
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Life
Conway's Game of Life is a "toy" ecological model. The cells grow or die based on
a set of well defined rules.
Demonstrates how to use the mouse-down method for data input. |
| Life.ZIP Pascal source and Delphi project. |
| Life.EXE Application only. |
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Random Walk
Saturday night at the court. A drunk leaves a party, takes 25 random
steps and falls down. On average, how far does the drunk get from the party? |
| RanWalk.ZIP Pascal source and Delphi project. |
| RanWalk.EXE Application only. |
