n rational numbers between two distinct rational numbers x and y are given by {x+d},{x+2d},{x+3d},...,{x+nd} where d=y-x/n+1
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In the mathematical subfield of numerical analysis, a B-spline or basis spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expressed as a linear combination of B-splines of that degree. Cardinal B-splines have knots that are equidistant from each other. B-splines can be used for curve-fitting and numerical differentiation of experimental data.
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