STRENGTH OF PASSWORD

First, let us take a 4-digit PIN. Let us also assume that a man is attempting to steal it. To get the first digit right, he has to try all the 10 digits (0--9) and 'one' will be correct. So the chance of getting correct first digit, is 1/10. The ' Multiplication rule in probability' says that the chance of getting all the four digits right is 1/10*1/10*1/10*1/10 = 1/10000. It means, if he makes 10000 tires, at one instant he will get the correct PIN. But the bank allows only 3 tries and limited time. So the PIN is safe as long as you keep it safe.

Now our financial transactions depends on the password. Let us see, how to strengthen the password.

Let us consider a 7 character password which can take alphabets and numerals. The total number of characters is 26+10= 36. The chance of getting any one character right is 1/36. As usual, the chance of getting all the seven characters right is 1/36*1/36*1/36*1/36*1/36*1/36 *1/36 = 1/36^7 = 1/ 78364164096. So the chance getting correct password is almost negligible. If you increase the length of the password and add more special characters to the password, its strength increases. It is difficult to break it.

The mathematics behind the PIN and the passwords is strong. So handle them with confidence and care. An example : STRONG password @2018.

Comments

THE EARTH, A SUPER ORGANISM

JOIN MY COURSE: "Become a programmer in a day with python" A man called 'love lock' (what a name) proposed a theory called Gaia theory, named after Greek Goddess. It says, "Earth is a self-regulating organism like a human being. The organic life in it interacts with in-organic matter and maintains atmosphere, temperature and environment". Hence the earth is still suitable for the life to thrive. Imagine, in a particular place, there are lot of flowers. Some flowers are white and some are darkly coloured. We know, white reflects light and heat while dark absorbs the same. White flowers can thrive in hot climate. But dark flowers requires cold climate. The absorption and reflection balances and the environment reaches average, warm temperature at which both the flowers can co-exist. This is the essence of "Gaia" theory. On our earth, the oxygen constitute 20% of the atmosphere. The oxygen level is always mai

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

DISORDER IS THE "ORDER OF THE DAY"

Imagine a balloon full of air. The air molecules are moving randomly inside the balloon. Let us pierce the balloon with a pin. The air rushes out. Why should not the air molecules stay inside the balloon safely and ignore the little hole? That is not the way the world works. The molecules always "want to occupy as many states as possible". Hence the air goes out in the open to occupy more volume. The things always goes into disorder (entropy) and the disorder increases with time. The above statement is what we call "second law of thermodynamics". Consider a cup of coffee on the table. Suppose the heat from entire room flows to your cup of coffee, the coffee will boil and the rest of the room will freeze. Freezing means bringing things to order and arrangement. It violates the second law. Hence it will never happen. Hence heat must flow from high temperature to low temperature and not the other way. The air molecules in y

sciencecapsules

Search This Blog