Another way to approach the linear combination is to look at it geometrically. This is where the idea of barycentric coordinates can help. A barycentric coordinate system describes the location of a point as the weighted sum of the regular coordinates of the vertices forming a simplex. In other words, it describes a linear combination with respect to a set of points, where in -dimensional space.
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The heavy and continuous days of rainfall follow a similar pattern to the last few years of wetter winters. Six of the ten wettest since records began nearly 250 years ago have been this century, according to the Met Office.