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B-Spline Basis Piecewise Polynomial Splines [ 1.000 0.000 0.000 0.000 0 0 0.216 0.608 0.167 0.009 0 0 0.008 0.458 0.461 0.073 0 0 0 0.172 0.585 0.241 0.001 0 0 0.037 0.463 0.463 0.037 0 0 0.001 0.241 0.585 0.172 0 0 0 0.073 0.461 0.458 0.008 0 0 0.009 0.167 0.608 0.216 0 0 0.000 0.000 0.000 1.000 ] [ 1 1 1 1 0 0 1 2 4 8 0 0 1 3 9 27 0 0 1 4 16 64 0.125 0 1 5 25 125 3.375 0 1 6 36 216 15.625 0 1 7 49 343 42.875 0.125 1 8 64 512 91.125 3.375 1 9 81 729 166.375 15.625 ]

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Math as LaTeX Source

\[ \begin{array}{cc} \mbox{B-Spline Basis} & \mbox{Piecewise Polynomial Splines} \\[0.05in] \left[ \begin{array}{llllll} 1.000& 0.000& 0.000& 0.000& 0 & 0 \\ 0.216& 0.608& 0.167& 0.009& 0 & 0 \\ 0.008& 0.458& 0.461& 0.073& 0 & 0 \\ 0 & 0.172& 0.585& 0.241& 0.001& 0 \\ 0 & 0.037& 0.463& 0.463& 0.037& 0 \\ 0 & 0.001& 0.241& 0.585& 0.172& 0 \\ 0 & 0 & 0.073& 0.461& 0.458& 0.008\\ 0 & 0 & 0.009& 0.167& 0.608& 0.216\\ 0 & 0 & 0.000& 0.000& 0.000& 1.000\\ \end{array} \right] & \left[ \begin{array}{rrrrrr} 1& 1& 1& 1& 0 & 0 \\ 1& 2& 4& 8& 0 & 0 \\ 1& 3& 9& 27& 0 & 0 \\ 1& 4& 16& 64& 0.125& 0 \\ 1& 5& 25& 125& 3.375& 0 \\ 1& 6& 36& 216& 15.625& 0 \\ 1& 7& 49& 343& 42.875& 0.125\\ 1& 8& 64& 512& 91.125& 3.375\\ 1& 9& 81& 729& 166.375& 15.625\\ \end{array} \right] \\ \end{array} \]
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