Show That If Five Points Are Picked on or in the Interior

question 51

Essay

Show that if five points are picked on or in the interior of a square of side length 2, then there are at least two of these points no farther than √2 apart.

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Definitions:

Normal People

Typically refers to individuals or groups displaying common, average behavioral or psychological traits within a society.

Mental Institution

A facility for the treatment, care, and rehabilitation of individuals with mental health issues or disorders.

Charles E. Spearman

Known for his work in statistics and psychology, particularly for formulating the concept of Spearman's rank correlation coefficient and the theory of general intelligence (g factor).

Formal Training

Formal training refers to a structured program designed to educate individuals in a particular field or job, often leading to certification or a degree.