Errata
Equation 8:
Use natural logarithms instead of base 10
Swap Al
2
O
3
and TiO
2
ld1
=
0.555 ln(Al
2
O
3
/SiO
2
) + 3.822 ln(TiO
2
/SiO
2
) + 0.522 ln(CaO/SiO
2
) +
1.293 ln(MgO/SiO
2
) - 0.531 ln(MnO/SiO
2
) - 0.145 ln(K
2
O/SiO
2
) -
0.399 ln(Na
2
O/SiO
2
)
ld2
=
3.796 ln(Al
2
O
3
/SiO
2
) + 0.008 ln(TiO
2
/SiO
2
) - 2.868 ln(CaO/SiO
2
) +
0.313 ln(MgO/SiO
2
) + 0.650 ln(MnO/SiO
2
) + 1.421 ln(K
2
O/SiO
2
) -
3.017 ln(Na
2
O/SiO
2
)
Table 6:
Swap the coordinates of the first two sets of linear discriminants.
node
1
2
3
4
ld1 (Equation 7)
5.02
12.17
15.9
11.85
ld2 (Equation 7)
-6.28
-12.23
-10.93
-16
ld1 (Equation 8)
-12
-12.23
-18
-8
ld2 (Equation 8)
4
-1.37
-6.6
-6.45
Thanks to Dr. Hetu Sheth for pointing out these mistakes.