GREED IS GOOD, IS IT?

Thomasalwa Edison was trying to make an electric light source. He tried a thousand materials to act as a filament in the bulb. He tried Aluminium, gold, carbon fibre and even hair. On sending Electric current, the filament should be instantly heated up and emit light somewhat similar to day-light and should not melt. At last, he found 'Tungsten'. So he invented the world's first incandescent (Non-smoking) lamp. It lighted up our nights for 100 years. But now we have moved to LED lights.
Why Edison struggled to invent the electric bulb, for fame, for money, or for soul-satisfaction.
Whatever may be the selfish or selfless motive, it has benefited humanity for a number of years.

Today, New smartphones arrive every now then. The companies or corporates want to get a big share of the market and mint money. But, we get phones that are cheaper, smarter. We get benefits and goodies because of their Greed.
Why the "food-delivery apps" is able to deliver food at our door-steps without much extra cost. They even give offers, cash-back. Quick delivery is their mantra(but riders' safety is important). Are they doing us a favour? When we dig deeper, we get hidden trade secrets.
1. When you go and sit in a restaurant, they have to switch on the fans, the lights and the AC - electric charges.
2. More people require more waiters.
3. People tend to order more from home than at the hotel. They may feel 'full' and stop ordering in a restaurant.
4. Elderly people, busy people will rather order from home for quality food than riding to a hotel.
Hence the food-delivering entities demand commission from the restaurants. Again, a win-win situation for everybody.

So sometimes, self-interest, Greed benefits society. Hence economics advises 'free-market', Globalisation, privatisation, competition.
The entire world seems to be moving in this direction right now. But tread this path carefully.
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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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