math of string theory

The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical I..

Mathematical Induction..

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Scientific Notation - Notation of large number in terms of exponential form, 10 raised to required value. It is also a standart notation representation as " p x 10 q ". where 'p' and 'q' are any integer..

Principle of Mathematical Induction (PMI) - (i) P(1) is true (ii) P(r) is true P(r+1) is tr..

If P(n) is a statement (n N); such that 1. P(1) is true and 2. truth of P(k) implies the truth of P(k+1), then by the principle of mathematical induction (P.M.I.), the statement P(n) is true for n ..

Summary - 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..

(i) P(1) is true (ii) P(r) is true P(r+1) is tr..

Conclusion - Let n N and P(n) denote a certain statement or formula or theorem. Then P(n) holds good for every natural number n if (i) it holds for n = 1 and (ii) it holds for n = k+1 whenever it holds for n =..

Question 1 - Question: Define an even number. Answer: A number which is divisible by 2 is called an even numbe..