7.500000 & & 11.80328\
[ ]{}

[cIccIccIcc]{} [ ]{}$n\backslash d$ & $T_n^9$ & $C_m^9$ & $T_n^{21}$ & $C_m^{21}$ & $T_n^{30}$ & $C_m^{30}$\
[ ]{} 64 & 45.04067 & 45.17179 & 9012.21 & 9543.49 & 371000.6 & 502472.1\
128 & 45.57648 & 45.59721 & 10100.96 & 10150.47 & 569223.5 & 579852.3\
256 & 45.69092 & 45.69486 & 10273.67 & 10279.58 & 594976.6 & 596037.0\
512 & 45.71737 & 45.71822 & 10308.14 & 10309.00 & 599497.1 & 599628.0\
1024 & 45.72373 & 45.72393 & 10315.86 & 10316.01 & 600450.4 & 600469.5\
2048 & 45.72529 & 45.72534 & 10317.69 & 10317.72 & 600669.7 & 600673.0\
$1/\lambda_{\infty}^d$ & & 45.72581 & & 10318.28 & & 600739.5\
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Since $t_j^d$ are rational numbers, (\[5.2\]) is useful for the exact computation of $\lambda_{\infty}^d$. But, in floating-point arithmetic, the direct computation of $\lambda_{\infty}^d$ from (\[5.2\]) is numerically unstable, as it certainly leads to severe cancellation.

It can be easily shown from (\[2.1\]) or (\[2.4\]) that the smallest non-zero value of the cardinal B-spline of degree $d$ at an interpolation node is: $$t_r^d = \begin{cases}
    N^d(1) = \frac{1}{d!},
      & \hbox{for odd\ $d$,}\\[6pt]
    N^d\left(\frac{1}{2}\right) = \frac{1}{2^d \cdot d!},
      & \hbox{for even $d$.}
  \end{cases}$$ Moreover, all other values $t_j^d$ 