YOU ARE DEFINITELY RICH

We are brainwashed to understand 'rich' means more money and money can buy anything.

Suppose you are an artist. You can draw anything you see; anyone you see in minutes. You enjoy doing colour painting. You are able to appreciate the paintings done by others. Then definitely you rich in this field. No millionaire can buy your talent or enjoyment.

Say you are 70 years. You have not gone to hospital for any reason. You are still going strong. Then you are very rich health wise. No rich man can buy your heart or kidney. Say you are having ultra small car. But you have driven the car for more than 100000 kilometers and enjoyed each ride. Another man has BMW. He has neither driven the car (out of fear) nor traveled in the car much (ill-health). Who is rich?

Singer, composer, writer, software coder, architect, teacher, fashion designer, any one who enjoys his job is rich. Money cannot buy it.

Cricket is a million dollar industry. For those who do not enjoy the game, it is just a waste of time. The achievements in the game is nothing for them. Only the players who have gone to the ground knows the value and enjoyment of the game.

You can develop your own creativity and richness. God has blessed you with one such richness. You have to discover .

Say your friend has become famous statewide since he is a politician. He earned more money then you. You think , he is rich and successful.

You may not be known beyond your street. But you have published one science paper. Scientists in many countries respect and refer your 'paper'. One day, it will come to the science text book and you will be remembered for ever.

The other man may be rich in his own way. But you are also rich and successful in you own arena. God has not given everything to one person but something to all. Discover it. Live rich and colourful life. Do not envy anybody. You may not have their richness. But you have your own richness that cannot be bought.
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LISSAJOUS FIGURES

Definition: "When a particle is subjected to two sine wave motion or two oscillatory motion at right angles, the particle describes lissajous figures". We know sine wave motion and circular motion is basically same. Hence we draw two circles A and B perpendicular to each other. The circle B rotates twice faster than circle A. That is, frequency of circle B is two times than that of A. A particle at the intersection of two circles is subjected to two sine wave motion A and B at 90 degree simultaneously. The particle will describe figures depending on the frequency and phase of A and B . In our case, the ratio of frequency is 1:2 and the two waves are in phase. To draw lissajous figures : A moving point in both the circles are chosen. Here we should remember; during the time taken by the circle A to complete one rotation, circle B completes two. Hence the points are marked on the circles according to their speed. Then straight lines

THE PARABOLA

A jet of water shooting from a hose pipe will follow a parabolic path. What is the so special about parabola. Y= x^2 Draw a graph for the above equation. It will result in a parabola. This parabola is also called unit parabola. Any equation involving square will yield a parabola. Example: Y = 2x^2 +3x+3 (also called quadratic equation) X= 2 and -2, both satisfies the equation 4 = X^2. Parabolic equations always have two solutions. Any motion taking place freely under gravity follows parabolic path. Examples: An object dropped from a moving train, A bomb dropped from flying plane, A ball kicked upwards. If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point. This fact is made use of in Dish Antenna, Telescope mirrors, etc. Inverted parabola shape is used in the construction of buildings and bridges. Because the shape is able to bear more weight. A plane

CASINO'S GAME

Let us find out how the casino survives with mathematics. Say, your friend invite you for a game of dice. You must bet (wager) 2 dollars. If you roll 'six' you will get back 8 dollars. The game will go on for 30 rounds. All sounds good. The probability of rolling 'six' is 1/6. Since the game will be played for 30 times, the 'expected win' is 30*1/6 = 5. That is, you are expected to win 5 rounds out of 30. Hence your gain will be 5 * 8 =40 dollars. ok. This also implies that you will loose 25 rounds. Hence your loss will be 25*2 =50 dollars. Your net gain will be gain-less = 40-50 = -10 dollars. For 30 rounds, the loss is -10 dollars, Hence, for one round =-10/30 = -1/3 dollars. There will be a loss of -1/3 or 0.33 dollars per round. It is not a fair game. Let us make a simple formula to calculate 'Pay out per round\. The probability for a win = p The pay-out in case of win = V No. of rounds = n The expect

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