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CBSE Class 10 Answered

What is the difference between an algorithm and a lemma. Give two examples.
Asked by ayush | 10 May, 2014, 02:27: PM
answered-by-expert Expert Answer
Algorithm is a list of well-defined steps for achieving a task and lemma (or theorem) is a proven statement that can be used for solving larger problems.
 
Lemma and theorem are fomally same.
 
Consider Pythagoras Theorem. It is having well defined steps to find the hypotenuse of a right triangle.
 
Let us now consider Euclid's division lemma.
 
For a pair of given positive integers ‘a’ and ‘b’, there exist unique integers ‘q’ and ‘r’ such that
 
a = bq + r, where, 0 less or equal than r less than b
 
 

 

Answered by Vimala Ramamurthy | 12 May, 2014, 10:32: AM

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