theory of fourth state of matter

Proof by mathematical induction requires the fulfilment of both the conditions (i) and (ii) as stated above. Condition (i) creates the basis for carrying out induction and condition (ii) gives us the right to make a general assertion or of an automatic extensi..

De Moivre's formula, named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and any integer n it holds that The formula is important because it connects complex numbers (i stands for the imaginary unit) and trigonometr..

1. The numbers 2, 3, 5 and 8. 2. The solutions of the equation x 2 - 2x - 15 = 0. 3. The letters of the word "Chase". 4. People living in our locality. 5. The students Mary, Hillary, Catherine. 6. The workers who are absent from the factory. 7. The capital cities of Asia. 8. The positiv..

We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figures. Suppose a measurement is recorded as 0.6204 cm. It means that the measurement was made correct to the nearest 0.0001 cm. There are 6204 of ..

A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is..

(a) (b) Hence we state the classical definition of rational numbers: Find a rational number between two rational numbers To obtain the required number, add numerators and denominators as shown below: ..

Summary - A well-defined collection of definite objects is called a set. In roster method of representing a set, all the elements are listed in the set. In property method of representing a set, all the elements are represented by stating all the properties which are satisfied by the elem..

Introduction - The classification of matter into three different states, namely solid, liquid and gaseous state is termed as the physical classification of matter. Most properties of solid, liquid and gases that can be observed with our sense organs are calle..

Kinetic Theory of Matter - This theory explains the physical properties of matter in terms of motion of its molecules. According to this theory, every substance (solid, liquid or gas) consists of a large number of minute particles called molecules ...

All matter is made up of particles called molecules. In normal circumstances it exists in three states. All the molecules of a given substance are alike in all respects. The molecules are separated from one another by the intermolecular space which is more than the diame..