VirtualDynamics~

Javier Montenegro Joo

The Palatinus Development Foundation

Javier Montenegro Joo,  The VirtualDynamics Research & Development Organization.

Demos@VirtualDynamics.Org

Support@VirtualDynamics.Org

Director@VirtualDynamics.Org

Imagery .... the Virtual Lab to know the Why and How on Digital Image Processing (DIP).

IMAGERY is a Digital-Image-Processing Virtual Laboratory created by Javier Montenegro Joo. 

 IMAGERY operates on images supplied by the user. The modules of this software include the pertinent theoretical background of the themes it covers, in this way the user knows at every moment the mathematical transformations operating on the images and how they operate.

Currently the author uses this software to teach DIP  at the graduate level in the university.

Modules in Imagery:   1- Color Synthesis. 2- RGB Color Mixing. 3- Color to Grey Transformation. 4- Representing a Straight Line. 5- Translations  6- Rotations. 7- Size Scaling. 8- Shearing. 9- Image Transformations. 10- Image Subtraction. 11 Graded difference of images (Image Fusion)  12: Pattern Centroidal Profile Representation (Signatures). 13: Point Detection Mask. 14: Line Detection Masks (Horizontal, Vertical, Slash, Back Slash).  15 - Binary image boundary detector 16: Histograms. 17: Conversion of Gray-Level To Binary Images (Thresholding). 18: Histogram-Assisted Edge Detection of Gray-Scaled Images. 19: Erosion of binary images. 20: Dilation of binary images. 21: Segmentation. 22: High Boost Filter. 23: Edge Enhancement by first derivatives and Gradient. 24- Roberts operator  25- Prewitt operator  26- Sobel Operator 27 Generalized Sobel operator 28: Edge Enhancement via the Laplacian Operator. 29- Edge detection through gradient 30: Spatial Operators (Convolution Filters). 31: User-Defined Convolution Filters. 32- Comparison of Sharpening filters 33- Noise-Reduction Median Filter. 34: Massive   Invariant Moments. 35: Boundary Invariant Moments. 36: The Polar Hough Transform. 37: Hough-Transform-based Invariant Pattern Recognition of Polygonal Objects.

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EconoModeler :   Analytic Geometry for Economics Applications

Analytic Geometry for Economists and for Economic Analysis

Economic Models - Mathematical Economics

EconoModeler  

This is an Analytic Geometry Software for Computer Assisted Teaching and Learning with applications to Economics.

EconoModeler is also used in professional applications.   

As it can be seen with EconoModeler just by clicking and dragging the mouse the user can very easily and very quickly design Points, Lines, Circles, Ellipses, Parabolas, Hyperbolas and Circular Arcs. As the user makes the curves on the black-color region, the corresponding coordinates, equations and pertinent data are shown on the left side text column.    

At any moment the position of the origin of coordinates can be placed wherever the user needs it to be (ideal for those applications where only the first quadrant is used). The names of the X and Y axes can be changed at will. The black-color region can be printed (on a black background so that color ink is saved). The left side column with results may also  be printed alone. EconoModeler exists in English and in Castellano.

EconoModeler calculates and reports the following intersections:  line-line, line-circle, line-parabola, line-elipse, line-Hyperbola, parabola-parabola. 

The user's imagination is the limit.

Prices (USA dollars)  >>> Personal use:  35.00 ...... institutional use:  140.00

Appreciate the Beauty of Algorithmic Art in a special web page:

http://www.oocities.org/VirtualDynamicsArt

Easy Viewing Plane Analytic Geometry,   The best way of really learning while visualizing the solution to problems.  This is a software for the person who really wants to learn Plane Analytic  Geometry (PAG), or for the person who loves visualizing it.  This is a tool that helps to grasp a conceptual understanding of  PAG while visualizing the solution to problems by hundreds in a very short time. 

The range of problems solved by Curvlinear goes from the most simple up to for example finding the  linear-equations of the heights of a triangle, or the equation of the line through the intersections of two circles, Or the extended  equation of the circle passing by three given points (see the icons).  

Admits two types of  coordinates input: either mouse or keyboard.   

The image on screen as well as the textual reports may be printed at will, just click a button.

Prices (USA dollars) Curvilinear >>> Personal use:  35.00 ...... institutional use:  140.00

Plane-Analytic-Geometry Problem Solver, is for the user who already knows the subject and wants to verify his/hers solutions, or for the teacher or student who needs to solve hundreds of problems in a very short time.

 Teachers may use this software to quickly prepare classes and also to propose and try  problems for tests and exams.  Students may verify their hand-made solutions with this tool.

Multiple keyboard-input modes. Reads and interprets many types of equations supplied by the user.  Includes a quadratic equation solver. 

The image on screen as well as the textual reports may be printed at will, just click a button.

Panageos is Not recommended for beginners. 

author:  Javier Montenegro Joo

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MathPhysicsGames:  

Mathematical Physics Computer Games

MathPhysicsGames:   This is a set of interactive and audio-visual Computer Games based on Mathematical Physics Modeling.  This software allows the user to assess the application of Physics and Mathematics in the development of amusing Computer Games, these kind of Computer Games not only improve the alertness and speed of reaction of the user,  they also boost his/her interest in Physics and Mathematics.   These games make use of Physics and Mathematics topics like Parabolic Motion, Velocity, Acceleration, Velocity components, equations, curve intersections, etc, etc.

List of Computer Games in MathPhysicsGames:

(1) Shoot Down The Ufo:  the Ufo flies on Parabolic, Sinusoidal, or lineal orbits. The user controls the Cannon elevation angle with the mouse and fires at will.  

(2) Shoot Down the Airplane:   User-controlled cannon and firing.

(3) Hit the Tank:  The user drops bombs from the flying airplane on a moving tank. 

(4) Bouncings: a ball bounces on the borders of a table, only if these are activated by the user.

Games have four levels of difficulty and constitute a serious challenge to the user.

Warning:    

 Use with caution, these Computer Games might boost your attention and alertness,   increase your speed of reaction and coordination and foster your interest in Physics and Mathematics

MathPhysicsGames  Price (USA Dollars):  35.00

These games are included in the Physics Virtual Laboratory, PVL                               See the PVL   

   Back to Table of Contents                                                 E-mail the Author requesting free demo  

This is a collection of all the Mechanics Simulators from the Physics Virtual Laboratory (PVL, see list of modules below).    This package has all the quality and features of the PVL, including Stereo Sounds. 

<<< Elastic Collisions: The Bouncing Ball

The user sets the Coefficient of Restitution, The Initial Height and the first Bouncing Angle.  The module makes the simulation along with the visualization and reports successive bouncing angles, heights and velocities.

Friction on a tilted plane.

The user sets the Mass Weight and the Kinetic Friction Coefficient, then he/she clicks a button to little by little tilt the plane, the block slides down when the elevation angle reaches the corresponding sliding angle. 

Wheel Gearing

The user sets the number of wheels ( 2, 3 or 4 ), their radii, the linear velocity and the rotation direction.  The wheels rotate the angles corresponding to their actual Angular Velocities so that its dependence on radius length is evident. As the wheels rotate, the module reports: Angular Velocities, Number of turns, Angular displacement and linear displacements (same for all wheels). 

Projectile Flight Simulator     (parabolic Motion)

The user sets the shooting velocity, cannon elevation angle, horizontal and vertical air resistance, and acceleration of gravity. The simulator makes the corresponding simulation and visualization. Reported data: Horizontal range, Highest altitude, flight time.

Whenever the projectile flight is paused (at user's will),  the velocity vectors are displayed. Several trajectories can be displayed simultaneously.

Uniformly Accelerated Motion Data Plots Generator

The user sets the Initial Velocity, Positive or Negative Acceleration, Delta Time, and Number of Steps, and the software generates the numerical results and plots of:  

(1)  x(t) = Vo t + (1/2) a t ²

(2) V(t) = Vo + a t

(3) Delta X(t)

(4) V(x) = Sqrt[ Vo ² + 2 a x ]

thus the user can analyze the resulting data and plots. It is also possible to generate "Real-Life, Experimental" data,  these can be saved and used to feed a plotter.

Behavior of velocities (V, Vx, Vy) in the Parabolic Motion

The user sets the Elevation angle of a cannon in the origin of coordinates and its shooting velocity Vo, the module makes the plottings of projectile velocities V, Vx, Vy,  as time goes by

Prices (US dollars) ... Mechanics >>>  Personal use:    50.00 ----- Institutional/Commercial use:   200.00 

Electromagnetics is a selection of simulators dealing with Electricity, Magnetism and its applications taken from the Physics Virtual Laboratory, PVL.    Electromagnetics is a subset of PVL.

<<< Electric Fields and Equipotential Surfaces due to point charges.   The user places any number of point charges (positive or negative) by clicking with the mouse on screen, the charge-disposition is fixed also by the user, then  clicks a button to get either the Electric Field or the Equipotential Surface of the group of charges. 

The Electric Transformer

Computes input/output Voltages, Number of Spires, Power and Electric Currents.

Resistance and Dissipated Power in an Electric Circuit.  The user controls the Resistances, the Emf, the internal resistance. 

Induced Electromotive Force on a square loop traversing a magnetic field. 

The loop displaces either automatically or manually (the user moves it with the mouse).

Works with inwards or outwards magnetic fields.  Plots magnetic flux on loop, shows clockwise, null and anticlockwise induced electric currents.

The user sets the values of the magnetic induction B, loop side length and velocity.

Electric circuits

Left: As the user sets the Electromotive force, the internal resistance and the resistances in the resistors, the program reports the  electric currents, voltage drops, dissipated powers in the whole circuit and in individual resistors.

Left: Charged particle Deflection by an Electric Field, the user sets the E-Field intensity, mass, charge and initial velocity of the charged particle.

Prices (US dollars) ... Electromagnetics >>> Personal use: 40.00 ----- Institutional/Commercial use:  160.00  

PVL Oscillations (Waves and Oscillations) contains all the simulators from the Physics Virtual Laboratory (PVL) dealing with Waves, Oscillations, Simple Harmonic Motion, Applications, etc.  Visual Oscillations is a subset of  PVL and has all the features and Simulational Power of the PVL. 

<<< The Damped Oscillator:  In order to appreciate the effect of the damping, the oscillation starts in a free environment, then on a sudden a damping material surrounds the oscillator.

Total Energy Distribution in the Simple Harmonic Motion.  

The exchange between the Kinetic and the Potential energies is appreciated as the Spring oscillates conserving its Total Energy.  The user controls the Mass, and the Elastic constant k.

Standing (Stationary) waves

Clearly visualizes a wave traveling to the right side, another wave going to the left side, and the standing wave produced by their  interference. Obviously the user controls the Amplitude, Wavelength, Frequency, etc.  Also it is possible to freeze the time, and to visualize the motion of individual waves

Damped Harmonic Oscillations Analyzer

Under damping, Over damping and Critical Damping.

The user sets the Mass, Elastic constant k, Viscosity b, Initial Phase, Delta Time and Number of events, the module generates the data and makes the corresponding plotting.

The user may analyze the generated numerical data and the plots.  Prints the whole image or only the generated numerical results.  

Simple Harmonic Motion: The Rotor

Superposition of two Simple Harmonic Motions in the same direction

Prices (US dollars):  Waves and Oscillations >>> Personal use:   45.00 ----- Institutional/Commercial use:  180.00 

Physics Virtual Laboratory,  PVL       ( 154  Simulators )

The Physics Dept of Central Connecticut State University (CCSU - USA)  has purchased the PVL to be officially used in its labs for students instruction.  

Another university officially using the PVL in its classes and Physics Labs is Universidad ESAN (Lima Peru).

The PVL is the Non-Plus-Ultra of the Physics Simulation Softwares, this Virtual Laboratory includes detailed simulation modules dealing with Mechanics, Waves, Oscillations, Thermodynamics, Electricity, Magnetism, Light, Optics, Hydrostatics, Applications, etc.   The main feature of PVL is that every user can adapt it to his/her own level.   The PVL is mainly addressed to the university student / teacher of Sciences and Engineering, however, since a variety of different-level books have been used to develop PVL, it becomes also suitable for Physics courses in Colleges and International Baccalaureate Programs.  High School students will find many modules of PVL helpful to simulate and visualize many Physics topics covered in their courses. Physics lovers and amateurs will find in PVL very stimulating and enlightening experiences.  

VirtualDynamics Professional and Rigorous Simulators execute Mathematical Models:  whenever there is an equation or  mathematical model to represent an experiment or physical event, it has been used in  PVL  to produce its simulation. In order to visualize the simulation while this takes place the more advanced techniques have been used, the result is a professional and robust software

All Mechanics simulation modules of PVL are also available as   PVL Mechanics 

All Waves and Oscillations modules of PVL are also available as  PVL Oscillations  

All Electricity and Magnetism simulators are also available as  PVL Electromagnetics 

Physics Virtual Lab, PVL  is a Virtual Laboratory of Physics, is Audio-Visual, it contains detailed simulators of phenomena from Mechanics, Hydrostatics, Waves, Hydrodynamics,  Electricity, Magnetism, Thermodynamics, Optics, Applications, etc, etc.   

PVL is a professional software that leaves behind simple demonstrations and rather puts emphasis on very precise simulations under the direction of the user.     

Here only a few of the simulators from the package are shown, the complete list of simulators is included below. 

<<< PVL : Stereo Sounds >>>

Deviation by a Prism.-

The user sets the Refractive Index of the prism and its top angle.  As the angle of the Incident Ray is varied with the mouse, the Refracted Rays and the Total Deviation Angle are shown, also their numerical values are reported. The Minimum Deviation of the prism is clearly appreciated when the ray inside the prism is parallel to its base. 

This module plots Total Deviations  vs   Incident Angles for user-fixed values of the refractive indices  

Physics Virtual Lab, PVL,  is  interactive and very easy to use, there is no need of either manuals or training or tutorials. 

This is a tool recommended not only to students and teachers but also to the persons fond of Physics, those who really love this subject.  Obviously secondary schools with ambitious teaching programs and universities, may use this software instead of the traditional laboratories, which are expensive, fragile, hard to maintain, limited, ....

Left: Operation of the Four-Cycle Piston Motor.

Intuitively Easy-To-Use simulators.

Users do not need to get trained to operate these simulators, at any moment during use, non-applicable controls (options,  buttons, parameter changers) are disabled and only appropriate controls are enabled, in this way there is no chance to activate a non-opportune control.  For instance the buttons to abort or pause an experiment are disabled at any time except while an experiment is running.

<<< The Carnot Engine: Converting Heat into Work.  As the piston displaces due to the expansion or  compression of the gas inside the cylinder, the two Isothermals and two  Adiabatics of the Carnot Cycle are plotted.  Pertinent theoretical explanations are shown as every stage of the Carnot cycle takes place. The piston displacement is used to lift a block.

Mass Falling Down due to the Gravity in a Medium whose Resistance is Proportional to the Velocity of the Mass.

The user sets the Resistance of the medium, the initial velocity of the falling mass, the number of events and the delta time, the software makes the corresponding data generation and plots Position, Velocity, Acceleration and Delta Position.    Allows data collection from simulated real-life experiments.

A similar module dealing with Motion against a Resistance proportional to  V ² (squared Velocity) is also included in PVL

Tri-Dimensional Lissajous

Superposition of Three Simple Harmonic Perpendicular Oscillators. The user controls oscillator amplitudes, frequencies and phase varying, as well as image orientations, displacements and animation speed.  Several animations (manual and automatic) are possible. Lissajous orbits may be seen from any angle. 

PVL is Audio-Visual:  whenever it is pertinent, simulators include stereo sounds, for instance when a bomb hits the ground, the sound of a explosion is produced, a collision of two cars on the air track is accompanied by a knocking sound.

Learning by comparison.- 

Tracks of experiments on screen have different colors (for instance, projectile trajectories) and them may be kept for comparison, in this way the effect of changing parameters can be easily observed.  The data associated to every experiment is displayed with the color of the track of that experiment, in this way, tracks and data are easily identified and compared.

No passive user.-  The PVL  is strongly dedicated to animation and simulation with user's data. For instance in the case of the Doppler Effect, up to twelve wave fronts are generated one after other and their expansion process is visualized while the wave source keeps displacing.  Obviously time may be frozen for as long as the user wants, so that he/she can see what is taking place and analyze the situation. This module includes a collection of sounds that when activated by the user, reproduce examples of the Doppler effect.

Use the screen as a blackboard ....

Whenever an experiment or demonstration occupies small space, several instances of it may be displayed wherever the user wants on screen, like on a blackboard.  In this way several cases of a  topic  may be appreciated at once on screen, thus facilitating understanding and learning, obviously the instructor's work becomes easier and much more productive.

Pre-defined examples.-  In general, whenever the objective of  an experiment is not obvious, the simulators include a set of pre-defined examples, in this way the user may execute first these examples and then after the experiment is understood, he/she may try with his/her own parameters.

Time freezing

Time can be frozen at any moment during simulation, it is then when pertinent vectors (velocity, force, etc) are displayed.  In real-life experiments neither time can be frozen nor vectors are seen, by the other hand, on a blackboard, vectors are seen only where the teacher depicts them. These simulators enable users to watch pertinent vectors wherever and whenever they want and as many times as desired by just clicking a button.

Unrestricted experimentation.-   Unrestricted experimentation leads to learning through extreme-situations exploration.  Physics Virtual Lab allows for this type of experimentation since the user may try experimenting with data sets that in real life may be impossible or may even harm the user.  For instance, in a conventional laboratory it may be impossible an exaggerated elongation of a spring, since it may break the instruments, or may encounter obstacles or may even hurt the user if suddenly released.

A Laboratory at home

For the person who enjoys physics and wants to appreciate it comfortably at home, this software is the ideal tool.

Screen Printing

Screen images may be printed, just click a button (see included images). 

Text Printing

Some modules generate abundant data in text form, this can be printed as a text file with just a click on a button.

Author easy to reach

Users may contact the author by e.mail or telephone at any time, for suggestions and doubts.  The author thanks in advance for  ideas and criticism to improve this material.

The user sets Amplitudes Ex and Ey of electric fields, their  initial phases and wave front polarization type.  Every time the experiment is paused the electric field E and its components Ex and Ey may be seen. Pre-defined examples are also included. Up to four cases may be conserved on screen with their respective parameters.

Left : Adiabatic Compression or Expansion of an Ideal Gas.- The user sets Cp / Cv, temperature and pressure, a button click starts the piston movement. The plots are made as the piston displaces. The gas inside the cylinder changes color as its pressure is varied.

Theory and Equations

Every PVL module includes pertinent theoretical information like some very specific description of the phenomenon under study and the equations used to execute the simulation. Generally space is not enough on the screen to show all this, then an information window is displayed on the click of a button.

Left : Ball - Wedge Elastic Collision.              The user sets ball velocity, ball and block mass, the program makes the simulation. As in all of these simulators slow motion and sound are at user's will.

Left: The Ballistic pendulum.-   The user controls bullet mass and velocity as well as block altitude.  A mouse click starts the simulation which may be visualized even in slow motion if the user wants.  

Cannon-Bullet and Falling-Mass Encounter.-

The user controls the cannon elevation angle, the bullet initial velocity and the horizontal distance from the cannon to the vertical along which the mass falls down since the moment the cannon makes fire.

The software calculates the corresponding mass-releasing altitude so that the bullet hits the falling mass. 

In the figure several cases are shown, each with a different color.

Bi Convex (Converging) Lens

The user sets the object distance to the lens and its size, the software computes the generated image size, position and other magnitudes and generates the corresponding visualization.

All  PVL  modules include theory, equations and relevant information.

Forces acting on a hanging picture. 

With the mouse the user places the picture wherever he wants on screen, all the involved forces appear automatically.  The  user controls picture weight and position.

Lissajous Orbits (Motion in two dimensions).

The superposition of two perpendicular Simple Harmonic Motions generates the Lissajous Orbits.  Freeze time at any moment to see why a central force is the resultant of the combined forces of two oscillating springs.  In this case the tracks of up to four experiments may be conserved on screen together with their generating parameters. The user sets the  Amplitudes, frequencies and initial phases of the oscillators.

The module dealing with Tri-Dimensional Lissajous shows the motion of Lissajous orbits in three dimensions. 

Prices (US dollars) >>> PVL:  personal use:  100.00  --------------  Institutional use: 450.00 (Quantity discounts)                  

   Order online  - Downloads        Back to Table of Contents         E-mail the Author requesting free demo  

This is an ultra quick Audio Visual File Explorer dealing strictly with the most commonly used file formats (this is why it is ultra quick), permits to very quickly and with only a single mouse click visualize (or listen to) hundreds of images and files containing textual information, also explores by executing animated-Gif images,  audio (sound) and video  files.
Very quickly can explore hundreds of sound, image and textual files.  Useful when the user wants to very quickly get to know the contents of many files (text, sound, images, video) in a very short time. There is absolutely no waiting when shifting files.

Supported File formats... Image Files: Bmp, Jpg, Gif, Ico, Emf, Wmf, Animated Gif. Video Files: Avi. Sound Files: Wav, Mid.  
Exe-type files are executed.  All other file formats ( .pas, .cpp, .dsk, etc, etc) are displayed as .txt 
Files may be deleted, renamed, and printed.                                                         

AudioVisualizer ---- Price  US dollars:  35.00  

Worldwide software distribution by Share-it    ( Germany )

 01  

CurvilinearS  (version en Español)        ID-Number in Shareit :  145981

http://shareit1.element5.com/programs.html?productid=145981&language=Spanish

02

CurvilinearE  (English version)       ID-Number in Shareit : 146043 

http://shareit1.element5.com/programs.html?productid=146043&language=English

03

 Panageos (English version)      ID-Number in Shareit : 146044

04

EasyGrammar  (English version)      ID-Number in Shareit : 146246

05

PVL Oscillations (English version)       ID-Number in Shareit : 149495

06

Percolation  (English version)      ID-Number in Shareit : 149496   

07

LVF Oscilaciones (version en Español)       ID-Number in Shareit : 149875

09

http://shareit1.element5.com/programs.html?productid=164448&language=English

http://shareit1.element5.com/programs.html?productid=167120&language=English