Colour and Me (Discover yourself)

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Nokia N95 8GB 360-degree spin - hover your mouse cursor over the image

A Real Age calculator!

Cheat Sheets & Tables

Here is a complete list of formula's and other stuff that are helpful for sure!

Algebra Cheat Sheet - This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a page of common algebra errors included. Currently the cheat sheet is four pages long.

Algebra Cheat Sheet (Reduced) - This is the same cheat sheet as above except it has been reduced so that it will fit onto the front and back of a single piece of paper. It contains all the information that the normal sized cheat sheet does.

Trig Cheat Sheet - Here is a set of common trig facts, properties and formulas. A unit circle (completely filled out) is also included. Currently this cheat sheet is four pages long.

Trig Cheat Sheet (Reduced) - My standard trig cheat sheet reduced to fit onto the front and back of a single piece of paper. It contains all the information that the normal sized cheat sheet does.

Calculus Cheat Sheets - These are a series of Calculus Cheat Sheets that covers most of a standard Calculus I course and a few topics from a Calculus II course.

Common Derivatives and Integrals - Here is a set of common derivatives and integrals that are used somewhat regularly in a Calculus I or Calculus II class. Also included are reminders on several integration techniques. Currently this cheat sheet is four pages long.

Common Derivatives and Integrals (Reduced) - My common derivatives and integrals table reduced to fit onto the front and back of a single piece of paper. It contains all the information that the normal sized table does.

Table of Laplace Transforms - Here is a list of Laplace transforms for a differential equations class. This table gives many of the commonly used Laplace transforms and formulas.

Why do we have eyebrows?

Those tiny, little hairs above our eyes that many women either pluck, paint, pierce or tattoo play a very important role in keeping moisture out of our eyes.

Just like an umbrella keeps our bodies dry from the rain, our hairy eyebrows keep our eyes dry from rain or sweat.

When it's pouring rain outside or when sweat drips down from our foreheads, our eyebrows divert the flow of water or sweat away from our eyes.

Our arch-shaped eyebrows angle the rain or sweat around to the side of our faces--leaving our eyes fairly dry. By catching the water or sweat, our eyebrows not only allow us to see more clearly, but also keep salty sweat from burning or irritating our eyes.

Eyebrows have other roles also. As one of our most expressive facial features, eyebrows help us determine how people are feeling without ever really asking them.

If a person's eyebrows are frowning, chances are they are mad or upset. In addition, eyebrows have an increasing impact on our beauty/fashion culture over the years.

Thick, hairy and big eyebrows tend to be characterized as unattractive while thin and plucked eyebrows are said to be more attractive.

Flash Animations for Physics! (Very useful for students)

We have been increasingly using Flash animations for illustrating Physics content. This page provides access to those animations which may be of general interest. The animations will appear in a separate window.

The animations are sorted by category,and the file size of each animation is included in the listing. Also included is the minimum version of the Flash player that is required;the player is available free from http://www.macromedia.com/.
The categories are:

• Chaos
• Classical Mechanics
• Electricity and Magnetism
• Micrometer Caliper
• Miscellaneous
• Nuclear
• Optics
• Oscilloscope
• Quantum Mechanics
• Relativity
• Sound Waves
• Vectors
• Waves

In addition,I have prepared a small tutorial in using Flash to do Physics animations. It contains screen shots and embedded Flash animations,so the file size is a 173k. You may view it in a separate window from Here.

There are 92 animations listed below. Some are simple;others are more complex.

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Category	Title	Description/Comment
Chaos	Bunimovich Stadium	Illustrating the chaotic Bunimovich Stadium. Requires Flash 6;file sizeis 17k.	View
Chaos	Logistic Map	The logistic map,which demonstrates the bifurcations of the population levels preceding the transition to chaos. Requires Flash 6;file size is 15k.	View
Chaos	Lorenz Attractor	Looking at the Lorenz Attractor in a chaotic regime,allowing the attractor to be rotated. Requires Flash 6;file size is550k.	View
Chaos	Three-body Gravitational Interaction	2 fixed suns and 1 planet. Initial conditions are controllable,and up to 4 different independent planets may be displayed. Requires Flash 6 and a computer with reasonable power;file size is 50k.	View
Classical Mechanics	Displacement and Distance	A simple animation showing the difference between thedistanceandthedisplacement. Requires Flash 5;file size is 5k.	View
Classical Mechanics	Constant Acceleration	1-dimensional kinematics of a body undergoing constant acceleration. Includesvisually integrating the acceleration and velocity graphs,and visuallydifferentiating the position and velocity graphs. Requires Flash 6;filesize is 30k.	View
Classical Mechanics	Motion Animation	A car with a non-zero initial speed has a constant acceleration whosevalue can be controlled by the user. Requires Flash 6;file size is 27k.	View
Classical Mechanics	Dropping Two Balls Near the Earth's Surface	Two balls falling near the Earth's surface under the influence of gravity.The initial horizontal speed of one of the balls may be varied. RequiresFlash 6;file size is 11k.	View
Classical Mechanics	Galilean Relativity	Illustrating Galilean relativity using his example of dropping a ball fromthe top of the mast of a sailboat. Requires Flash 6;file size is 22k.	View
Classical Mechanics	Projectile Motion	Firing a projectile when air resistance is negligible. The initial height and angle may be adjusted. Requires Flash 6;file size is 36k.	View
Classical Mechanics	Kinematics of Projectile Motion	A visualisation exploration of the kinematics of projectile motion. Requires Flash 6;file size is 9k.	View
Classical Mechanics	The Monkey and the Hunter	An animation of the classic lecture demonstration. The actual demonstration is preferable if possible;then this animation can be given to the students for later review. Requires Flash 6;file size is 21k.	View
Classical Mechanics	Racing Balls	Two balls roll down two different low-friction tracks near the Earth's surface. The user is invited to predict which ball will reach the end of the track first. This problem is difficult for many beginning Physics students. Requires Flash 6 Release 79;file size is 140k.	View
Classical Mechanics	Racing Skiers	The "Racing Balls" animation which is accessed via the above line sometimes triggers cognitive dissonance and rejection in beginning students. For some of these,changing the balls to skiers helps to clarify the situation,and that is what this animation does. The "Racing Balls" one should be used with students first. Requires Flash 6 Release 79;file size is 145k.	View
Classical Mechanics	Air Track Collisions	Elastic and inelastic collisions on an air track,with different massesfor the target cart. Requires Flash 6;file size is 70k.	View
Classical Mechanics	Newton's Cradle	A small animation of Newton's Cradle,sometimes known as Newton's Balls. Requires Flash 6;file size is 1k.	View
Classical Mechanics	Hooke's Law	A simple animation illustrating Hooke's Law. Requires Flash 6;file sizeis 13k.	View
Classical Mechanics	Coordinate System for Circular Motion	An unusual coordinate system for describing circular motion. RequiresFlash 6;file size is 94k.	View
Classical Mechanics	Vertical Circular Motion	A mass is in circular motion in the vertical plane. We show the weightand force exerted by the tension in the string. Requires Flash 6;filesize is 7k.	View
Classical Mechanics	Forces on a Pendulum	The weight,force due to tension,and total force exerted on the bobof a pendulum are shown. Requires Flash 6;file size is 8k.	View
Classical Mechanics	Rolling Disc	A simple animation that traces the motion of a point on a rolling disc. Requires Flash 6;file size is 31k.	View
Classical Mechanics	Right-Hand Screw Rule	The direction of the angular velocity vector given by a right-hand screwrule. Requires Flash 6;file size is 196k. Also linked to from theVectorssection.	View
Classical Mechanics	Directionof the Angular Velocity Vector	A simple animation of the direction of the angular velocity vector. RequiresFlash 6;file size is 125k.	View
Classical Mechanics	Curling	Curling rocks and tori sliding across surfaces. Requires Flash 6;file size is601k.	View
Classical Mechanics	How Does a Cat Land on its Feet?	The saying is that cats always land on their feet. This animation explainshow they do this. Requires Flash 6;file size is 81k.	View
Classical Mechanics	Precession of a Spinning Top	A simple animaiton of a spinning top which precesses. Requires Flash 5;file size is739k.	View
Classical Mechanics	Simple Harmonic Motion I	Demonstrating that one component of uniform circular motion is simpleharmonic motion. Requires Flash 6;file size is 10k.	View
Classical Mechanics	Simple Harmonic Motion II	Illustrating and comparing Simple Harmonic Motion for a spring-mass systemand for a oscillating hollow cylinder. Requires Flash 5;file size is 20k.	View
Classical Mechanics	Damped Simple Harmonic Motion	The damping factor may be controlled with a slider. The maximum availabledamping factor of100corresponds to critical damping. RequiresFlash 6;file size is 12k.	View
Classical Mechanics	Driven Simple Harmonic Motion	A harmonic oscillator driven by a harmonic force. The frequency and damping factor of the oscillator may be varied. Requires Flash 6;file size is 199k.	View
Classical Mechanics	Coupled Harmonic Oscillators	Two simple pendulums connected by a spring. The mass of one of the pendulumsmay be varied. Within mathematical rounding errors,the resolution on thescreen of one pixel,and a frame rate of 12 frames per second the animationis correct,not an approximation. Requires Flash 6;file size is 47k.	View
Electricity and Magnetism	Coulomb's Law	A simulation of an experiment to determine the dependence of the electrostaticforce on distance. Requires Flash 6;file size is 15k.	View
Electricity and Magnetism	Comparing a DC circuit to the flow of water.	A simple DC circuit has a DC voltage source lighting a light bulb.Alsoshown is a hydraulic system in which water drives a turbine. The two systemsare shown to be similar. Requires Flash 6;file size is 51k.	View
Electricity and Magnetism	A Light Switch	A simple animation of how a common light Switch works. Requires Flash6;file size is 4kb.	View
Electricity and Magnetism	Field Lines	Illustrating representing an electric field with field lines. Requires Flash 5;file size is 22k.	View
Electricity and Magnetism	A Simple Buzzer	A simple buzzer consisting of a battery,a flexibile metal strip,a piece of iron,and some wire. Requires Flash 6;file size is 20k.	View
Electricity and Magnetism	Electric Field of an Oscillating Charge	An electric charge is executing simple harmonic motion,and the animationshows the electric field lines around it. Requires Flash 6 and a computerwith reasonable power;file size is 40k.	View
Electricity and Magnetism	Electric and Magnetic Fields of an Oscillating Charge	A 3 dimensional animation of the "far" fields of an oscillating charge. Requires Flash 6;file size is 120k.	View
Electricity and Magnetism	Circular Polarisation	Circular polarisation generated from a linearly polarised electromagnetic wave by a quarter-wave plate. Requires Flash 6;file size is785k.	View
Electricity and Magnetism	Spinning Charges and an Inhomogeneous Magnetic Field 1	A spinning charged object passes through an inhomogeneous magnetic field. This animation is also used in a discussion of the Stern-Gerlach experiment. Requires Flash 6;file size is 74k.	View
Electricity and Magnetism	Spinning Charges and an Inhomogeneous Magnetic Field 2	A spinning charged object passes through an array of 3 magnets each producing an inhomogeneous magnetic field. This animation is also used in a discussion of the Stern-Gerlach experiment. Requires Flash 6;file size is 79k.	View
Micrometer Caliper	Measuring with a Micrometer	A simple animation of using a micrometer to measure the width of a pencil.Requires Flash 5;file size is 13k.	View
Micrometer Caliper	An Exercise in Reading a Micrometer	Provides controls to position the micrometer,and when a button is clickeddisplays the reading. Requires Flash 5;file size is 30k	View
Miscellaneous	A Simple Piston and Boyle's Law	A small animation showing a piston compressing a sample of gas. As the volume of the gas goes down,the density and therefore the pressure goes up. Requires Flash 5;file size is 3.9k.	View
Miscellaneous	Derivative of the Sine Function	An animation illustrating that the derivative of a sine function is acosine. Requires Flash 6,file size is 20k.	View
Miscellaneous	Area of a Circle As a Limit	Illustrating that the area of a circle is a limit of the sum of the areas of interior triangles as the number of triangles goes to infinity. Requires Flash 5;file size is 12k.	View
Miscellaneous	Integration	Illustrating the meaning of the integral sign,including an example. Requires Flash 5;file size is 124k.	View
Nuclear	Scattering	Simulating nuclear scattering experiments by scattering ball bearings off targets. This is based on an experiment in the First Year Physics Laboratory at the University of Toronto. Requires Flash 6 Release 79;file size is 182k.	View
Nuclear	Nuclear Decays	The decay of 500 atoms of the fictional element Balonium.Uses a proper Monte Carlo engine to simulate real decays. Requires Flash6,file size is 27k.	View
Nuclear	PairProduction	A simple illustration of electron-positron production and annihilation.Requires Flash 5,file size is 21k.	View
Nuclear	The Interaction of X-rays With Matter	Illustrating the 3 principle modes by which X-rays interact with matter. Requires Flash 6;file size is 47k.	View
Optics	Rotating a Mirror and the Reflected Ray	Illustrating that when a mirror is rotated by an angle,the reflected ray is rotated by twice that angle. Requires Flash 6;file size is 20k.	View
Optics	Reflection and Refraction	Illustrating reflection and refraction,including total internal reflection. Requires Flash 6;file size is 33k.	View
Optics	Object-Image Relationships	Ray tracing for a thin lens showing the formation of a real image of an object. Requires Flash 5;file size is 17k.	View
Optics	Using an Optical Bench	A simulation of an optical bench with a light source,object,thin lens and an image. The screen that displays the image is moved. Requires Flash 5,file size is 14k.	View
Oscilloscope	The Time Base Control 1	Shows the effect of changing the time base control on the display of anoscilloscope. There is no input voltage. Requires Flash 5;file size is10k.	View
Oscilloscope	The Time Base Control 2	Shows the effect of changing the time base control on the display whenthere is an input voltage varying in time. Requires Flash 5;file size is12k.	View
Oscilloscope	The Time Base Control 3	Shows the effect of changing the time base control on the display whenthere is an input voltage varying in time when the frequency of the voltageis high. Requires Flash 5;file size is 17k.	View
Oscilloscope	The Voltage Control	Shows the effect of changing the voltage control on the display. RequiresFlash 5;file size is 10k.	View
Oscilloscope	The Trigger	Shows the effect of changing the trigger level on the display. RequiresFlash 5;file size is 5.9k	View
Quantum Mechanics	The Bohr Model	The photon excitation and photon emission of the electron in a Hydrogenatom as described by the Bohr model. Requires Flash 6:file size is 77k.	View
Quantum Mechanics	Complementarity	Here we visualise a hydrogen atom,which consists of an electron in orbitaround a proton. In one view the electron is aparticleand inthe other view it is aprobability distribution. The reality isneither view by itself,but a composite of the two. Requires Flash 5;filesize is 15k.	View
Quantum Mechanics	The Double Slit Experiment 1	The famous "Feynman Double Slit Experiment" for electrons. Herewe fire one electron at a time from the electron gun,and observe the build-upof electron positions on the screen. Requires Flash 5;file size is 15k.	View
Quantum Mechanics	The Double Slit Experiment 2	Here we illustrateComplementarityusing the double slit experiment.We view the path of the electron from the gun to the observing screen asa particle and as a wave. Requires Flash 5;file size is 33k.	View
Quantum Mechanics	Stern-Gelach Filters	Up to three Stern-Gerlach filters with user-controlled orientations areplaced in an electron beam. Requires Flash 7;file size is 130k.	View
Quantum Mechanics	Bell's Theorem	Based on an analysis by Mermin,this animation explores correlation measurementsof entangled pairs. Requires Flash 6;file size is 38k.	View
Relativity	Michelson-Morley Experiment	A simple analogy involving two swimmers that sets up the Michelson-MorleyExperiment. Requires Flash 6;file size is 15k.	View
Relativity	Time Dilation	A demonstration that the phenomenon of time dilation from the specialtheory of relativity necessarily follows from the idea that the speed oflight is the same value for all observers. Requires Flash 6;file size is55k.	View
Relativity	Deriving Length Contraction	A tutorial that shows how relativistic length contraction must followfrom the existence of time dilation. Requires Flash 5;file size is 37k.	View
Relativity	Length Contraction is Invisible	This series of animations demonstrates that the relativistic length contractionis invisible. Requires Flash 5;file size is 90k.	View
Relativity	Deriving the Relativity of Simultaneity	A tutorial that shows how the relative nature of the simultaneity of twoevents must follow from the existence of length contraction. Requires Flash5;file size is 39k.	View
Relativity	Twin Paradox	There are many ways of approaching this classic "paradox". Herewe discuss it as an example of the relativistic Doppler effect. RequiresFlash 6;file size is 116k.	View
Relativity	Foucault Pendulum and Mach's Principle	This began as an animation of the Foucault Pendulum,but then I generalised it to illustrate Mach's Principle. Requires Flash 6,file size is1.5M.	View
Relativity	Advance of the Perihelion	A simple animation showing Newton's and Einstein's predictions for theorbit of Mercury. Requires Flash 6;file size is 7.0k.	View
Sound Waves	Beats	Illustrating beats between 2 oscillators of nearly identical frequencies. Requires Flash 6;file size is 215k.	View
Sound Waves	DopplerEffect:Wave Fronts	Illustrating the wave fronts of a wave for a moving source. There area few similar animations on the web:this is my re-invention of that wheel.Requires Flash 6;file size is 11k	View
Sound Waves	Doppler Effect	Illustrating the classical Doppler Effect for sound waves. Requires Flash6;file size is 43k.	View
Sound Waves	Tuning Fork	A small animation of a vibrating tuning fork producing a sound wave. RequiresFlash 5;file size is 2.7k.	View
Sound Waves	Pressure and Displacement Waves	This animation shows air molecules vibrating,with each molecule "driving"its neighbour to the right. It is used to illustrate that when the displacementwave is at a maximum then the density of the molecules,and thus the pressurewave,is at a minimum and vice versa. Requires Flash 5;file size is 30k	View
Sound Waves	Temperament	A very brief introduction to the physics and psychophysics of music,withan emphasis on temperament,the relationship between notes. Requires Flash6 and sound;file size is 151k.	View
Vectors	Adding 2 Vectors	A simple demonstration of adding 2 vectors graphically. Also demonstratesthat vector addition is commutative. Requires Flash 5;file size is 7k.	View
Vectors	Adding 3 Vectors	A simple demonstration of adding 3 vectors graphically. Also demonstratesthat vector addition is associative. Requires Flash 5;file size is 10k.	View
Vectors	Subtracting 2 Vectors	A simple demonstration that subtracting 2 vectors graphically is the sameas adding the first one to the negative of the second one. Requires Flash5;file size is 4.5k.	View
Vectors	Component Addition	A simple demonstration that to add 2 vectors numerically,just add thecartesian components. Requires Flash 5;file size is 16k.	View
Vectors	Unit Vectors	A simple animation of unit vectors and vector addition. Requires Flash 6;file size is 12k.	View
Vectors	Dot Product	A simple demonstration of the relation between the dot product of 2 vectorsand the angle between them. Requires Flash 6;file size is 8k.	View
Vectors	Right-Hand Screw Rule	The direction of the angular velocity vector given by a right-hand screwrule. Requires Flash 6;file size is 196k. Also linked to from theClassicalMechanicssection.	View
Vectors	Cross Product	The direction of the cross product of 2 vectors is demonstrated. The magnitude shown is correct but not discused. Requires Flash 6;file size is 44k.	View
Waves	TravelingWaves	Illustrating the sign of the time term for traveling waves moving fromleft to right or right to left. Requires Flash 6;file size is 42k.	View
Waves	Reflections From a Barrier	A wave is reflected from a barrier with a phase reversal. This is thebehaviour for transverse waves and thedisplacementaspect of alongitudinal wave. Requires Flash 5;file size is 42k.	View
Waves	Reflections From Two Barriers	A wave is reflected back and forth between two barriers,setting up astanding wave. Requires Flash 5;file size is 41k.	View
Waves	Standing Waves With a Node on Both Ends	The first three standing waves for nodes at both ends. The frequenciesof the waves are proportional to one over the wavelength. Requires Flash5;file size is 11k.	View
Waves	Standing Waves With a Node on One End	The first three standing waves for a node at one end and an antinode atthe other. The frequencies are proportional to one over the wavelength.Requires Flash 5;file size is 18k.	View

I'll add some more animations in mean time so keep checking.

Ever wondered what the tornado teaches us?

Did you ever notice that every thing in nature teaches us a lesson? Tornado also teaches us something ... something that we look through in our daily lives. A tornado teaches us determination -- determination to achieve our goals, it teaches us courage -- courage to face all obstacles, and above all it teaches that no matter what our origin is, you can still conquer the world, just like a tornado initiates from nothing but wind, the very same wind that surrounds us but still it can change the face of entire villages...


So are you a tornado?
(Well, i am!)