K-means clustering is a method of vector quantization that aims to partition n observations into k clusters in which each observation belongs to the mean
Problem 1. According to the principle of mathematical induction, to prove a statement that is asserted about every natural number n, there are two things to prove.
a) What is the first?
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1 + 3 + 5 + 7 + . . . + (2n − 1) = n2.
a) To prove that by mathematical induction, what will be the induction
a) assumption?
The statement is true for n = k:
1 + 3 + 5 + 7 + . . . + (2k − 1) = k2.
b) On the basis of this assumption, what must we show?
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