From: Michael Orlitzky Date: Mon, 2 May 2011 01:14:17 +0000 (-0400) Subject: Compute more coefficients manually for use in the tests. X-Git-Tag: 0.0.1~349 X-Git-Url: http://gitweb.michael.orlitzky.com/?p=spline3.git;a=commitdiff_plain;h=ac0038841f438db98a741fa476b99be7cbd87e2b Compute more coefficients manually for use in the tests. --- diff --git a/doc/spline3.lyx b/doc/spline3.lyx index 2536cef..0fd7922 100644 --- a/doc/spline3.lyx +++ b/doc/spline3.lyx @@ -933,10 +933,166 @@ sage: c0012 = (5/24)*(I(1,1,1) + F(1,1,1) + T(1,1,1) + FT(1,1,1)) + \begin_layout Plain Layout +sage: c0120 = (5/24)*(I(1,1,1) + F(1,1,1)) + \end_layout \begin_layout Plain Layout + (1/8)*(L(1,1,1) + T(1,1,1) + FL(1,1,1) + FT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/24)*(LT(1,1,1) + FLT(1,1,1)) +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0102 = (5/24)*(I(1,1,1) + F(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/8)*(R(1,1,1) + T(1,1,1) + FR(1,1,1) + FT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/24)*(RT(1,1,1) + FRT(1,1,1)) +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0111 = (13/48)*(I(1,1,1) + F(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (7/48)*(T(1,1,1) + FT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/32)*(L(1,1,1) + R(1,1,1) + FL(1,1,1) + FR(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/96)*(LT(1,1,1) + RT(1,1,1) + FLT(1,1,1) + FRT(1,1,1)) +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0210 = (13/48)*(I(1,1,1) + F(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (17/192)*(L(1,1,1) + T(1,1,1) + FL(1,1,1) + FT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/96)*(LT(1,1,1) + FLT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/64)*(R(1,1,1) + D(1,1,1) + FR(1,1,1) + FD(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/192)*(RT(1,1,1) + LD(1,1,1) + FRT(1,1,1) + FLD(1,1,1)) +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0201 = (13/48)*(I(1,1,1) + F(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (17/192)*(R(1,1,1) + T(1,1,1) + FR(1,1,1) + FT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/96)*(RT(1,1,1) + FRT(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/64)*(L(1,1,1) + D(1,1,1) + FL(1,1,1) + FD(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/192)*(RD(1,1,1) + LT(1,1,1) + FLT(1,1,1) + FRD(1,1,1)) +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0300 = (13/48)*(I(1,1,1) + F(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (5/96)*(L(1,1,1) + R(1,1,1) + T(1,1,1) + D(1,1,1) + +\end_layout + +\begin_layout Plain Layout + + FL(1,1,1) + FR(1,1,1) + FT(1,1,1) + FD(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/192)*(RT(1,1,1) + RD(1,1,1) + LT(1,1,1) + LD(1,1,1) + +\end_layout + +\begin_layout Plain Layout + + FRT(1,1,1) + FRD(1,1,1) + FLT(1,1,1) + FLD(1,1,1)) +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c1020 = (1/4)*I(1,1,1) + +\end_layout + +\begin_layout Plain Layout + + (1/6)*(F(1,1,1) + L(1,1,1) + T(1,1,1)) + +\end_layout + +\begin_layout Plain Layout + + (1/12)*(LT(1,1,1) + FL(1,1,1) + FT(1,1,1)) \end_layout \end_inset @@ -1005,6 +1161,104 @@ sage: c0012 71/24 \end_layout +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0120 +\end_layout + +\begin_layout Plain Layout + +55/24 +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0102 +\end_layout + +\begin_layout Plain Layout + +73/24 +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0111 +\end_layout + +\begin_layout Plain Layout + +8/3 +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0210 +\end_layout + +\begin_layout Plain Layout + +29/12 +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0201 +\end_layout + +\begin_layout Plain Layout + +11/4 +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c0300 +\end_layout + +\begin_layout Plain Layout + +5/2 +\end_layout + +\begin_layout Plain Layout + +\end_layout + +\begin_layout Plain Layout + +sage: c1020 +\end_layout + +\begin_layout Plain Layout + +8/3 +\end_layout + \end_inset