r summary function

(i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called ..

1. If x is a discrete random variable assuming the values x 1 , x 2 , x 3 ,.,x n with probabilities p 1 , p 2 , p 3 ,., p n respectively then (x 1 ,p 1 ), (x 2 , p 2 ),(x n , p n ) defines a probability distribution of X. 2. Let n independent bernoulli trials be performed and X denote..

>Peptiglycons are found in the cell walls of prokaryotic cells. Proteins are polymers of aminoacids arranged in a specific sequence which is decided by the genetic code present in the DNA molecule. The polypeptide chain in a protein may be straight (primary structure) or may form helical coils (sec..

>Relation from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R ..

Let X be a set of numbers and f : N n --> X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X...

If a current I flows through a potential drop V, the energy lost per second by the drifting charges is VI. In a resistor of resistance R, the loss of energy appears as heat. The rate of heat production P is P = VI = I 2 R = V 2 /R and is independent of the direct..

Every polynomial is continuous. Every rational function is continuou..

The Biot-Savart law asserts that the magnetic field dB due to an element dl carrying a steady current i at a point P at a distance r from the current elemen..

Aldehydes, ketones, carboxylic acids and their functional derivatives (aryl halides, acid anhydrides, esters and amides) contain a carbonyl group and are highly polar molecule..

The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..