Proof of (a−b)2=a2−2ab+b2(a−b)2=a2−2ab+b2 Let us consider (a−b)2(a−b)2 as the area of a square with measure (a – b). To surmise this, let’s start with a bigger square of area a2a2. We will decrease the length of each side by b. We now have to...
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Based on a motivation coming from the study of the metric structure of the category of finite dimensional vector spaces over a finite fieldF, we examine a family of graphs, defined for each pair of integers1≤k≤n, with vertex set formed by all injective linear transformationsFk→Fnand edges...
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