PICKING A SAFE PASSWORD

The PIN for your ATM card, your phone, your high-end bike is mostly four-digit code. It is not so safe. There are 10 choices for first digit (0....9), ten for second digit and so on. Hence, there are totally 10*10*10*10 =10^4 = 10000 possible 4-digit codes. The computer can check all the choices in a blink of an eye. That is why your online bank account, phones, ATM get locked if you try wrong PINs a few times in a row.

    You can use words as passwords. If you choose six-letter word, there will be 26^6 or 300 million words are possible in the English language. Even 300 million is not a big number for the computer. It will check them out in a few seconds. The scrabble dictionary lists about 20000 meaningful 6-letter words.  So, the cracking problem is further become easy. If you choose predictable words, a human will very easily crack the passwords.  Datagenetics .com says one out of every six PIN is either 1234 or 1111.
    How to pick a unpickable password? Longer password from larger alphabet is the best choice. The normal keyboard has 90 characters. Choose a twenty-character password from it. The fraudster has to try 90^20 possible passwords. Even a high-end computer will take 10000000000000000 times the age of the universe to crack the password.
    If you choose a password like "HsgP58#AB4dfe%", how will you remember? The verdict is, choose a longer password from 90 characters, but you should be able to remember it.

One method to create a strong password
1. Take a simple sentence
SHE LOOKS LIKE ANGEL
2. Remove n number of characters from each word from the end.
let n = 2
SLOOLIANG
3. Now, replace some alphabet with special characters.
o =%
L=@
G=9

We get,
SL%%@1an9
     Remember the method. Write down the process. Keep it safe.
    You can use such a complicated method for online money transactions. Remember, even banks cannot find out your passwords and PINs.

In digital age, we must live with passwords. So, put some extra efforts for secure life.

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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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