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Splines
is one of several ways to indicate that 
is a spline of order k with knot sequence t, i.e., a linear combination of the B-splines of order k for the knot sequence t.
A word of caution: The term B-spline has been expropriated by the Computer-Aided Geometric Design (CAGD) community to mean what is called here a spline in B-form, with the unhappy result that, in any discussion between mathematicians/approximation theorists and people in CAGD, one now always has to check in what sense the term is being used.
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