Farey行列式矩阵
Farey determinants matrix
摘要：
一个新的矩阵操作的基础上插入列和行，类似于分数之间的中位数操作，产生的Farey行列式矩阵，或等价的，矩阵的分子的差异Farey分数。这个矩阵允许可视化Farey分数的已建立的性质和定理，允许更直观的演示和更容易理解。此外，它示出了如何一些Farey行列式矩阵包含其他低阶Farey行列式矩阵作为块矩阵周围的主对角线。
英文摘要：
A new matrix operation based on inserting columns and rows, similarly to the mediant operation between fractions, gives rise to the Farey determinants matrix or, equivalently, the matrix of the numerators of the differences of Farey fractions. This matrix allows to visualize established properties and theorems of Farey fractions allowing for more intuitive demonstrations and easier understanding. Furthermore it is shown how some Farey determinants matrices contain other lower order Farey determinants matrices as block matrices around the main diagonal.
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