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What is Deductive Reasoning ?
Geometry is based on a deductive structure -- a system of thought in which conclusions are justified by means of previously assumed or proved statements. The process of deductive reasoning involves three steps:
Step 1: Start with the given conditions (hypothesis).
Step 2: Use logic, definitions, postulates, or previously proved theorems to justify a sequence of thoughts.
Step 3: State your conclusions.
Example 4 : Given DABC is an equilateral triangle with three congruent sides A@B@C. After we use logic to supply the correct statements in step 2, we can come to the conclusion (theorem): If all the three sides of a triangle are congruent, then the three angles are congruent.
Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o
Limits At Infinity, Part I : In the earlier section we saw limits which were infinity and now it's time to take a look at limits at infinity. Through limits at infinity we mean
Write Prim's Algorithm. Ans: Prim's algorithm to find out a minimum spanning tree from a weighted graph in step by step form is given below. Let G = (V, E) be graph and S
Illustration of Rank Correlation Coefficient In a beauty competition two assessors were asked to rank the 10 contestants by using the professional assessment skills. The resul
the 10 miles assigned to the chess club start at the 10 mile point and go to the 20 mile point when the chess club members have cleaned 5/8 of their 10 mile section between which m
Index of summation - Sequences and Series Here now, in the i is termed as the index of summation or just index for short and note that the letter we employ to represent
(x+15)/y=10 where y=5
What is the OPEC? - The Organization of the Petroleum Exporting Countries, a coordination group of petrol producers The Organization for Peace and Economic Cooperation, a German le
Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.
Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al
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