# Input data¶

The input to Mapper is a numpy.ndarray with double data type. If it is two-dimensional (say of shape (m,n) with m rows and n columns), the data is interpreted as vector data: m data points in $$\mathbb R^n$$. If the array is one-dimensional, it is interpreted as pairwise distances. The array is the flattened, upper triangular part of the pairwise distance matrix. For m data points $$x_0,\ldots, x_{m-1}$$, this vector contains $$\tbinom m 2=m(m-1)/2$$ entries. The first entry is the distance $$d(x_0, x_1)$$, the (m−1)-th entry is $$d(x_0, x_{m-1})$$, the m-th entry is $$d(x_1, x_2)$$, and so on.

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