Formula symbols 
29 
Formula symbols 
A 
[1] 
Design matrix of the dimension m x n 
b 
[m or h] 
Observation vector 
C kXj 
[h] 
Coefficients of inequalities in time (A=l..... 4) 
C k,2,J 
[m] 
Coefficients of inequalities in height (£=1,.... 4) 
[m] 
Coefficients of inequalities in height (£=1,.... 96) 
i 
[1] 
Transit counter, N slarl < i < N end 
j 
[1] 
Index for predictors (j = 0,...,88 ) 
j 
[1] 
Index of angular velocities (j = 0,...,44) 
k 
[1] 
Event counter 
N 
[1] 
Transit number 
T 
[d] 
Time of true transit (T 0 on31 Dec 1949 at23:08UTC) 
t 
[d] 
Time of mean transit (t 0 =T 0 ) 
t 
[d] 
Time of the mean transit shifted by T — t 
HWT 
[d] 
High water time 
LWT 
[d] 
Low water time 
HWH 
[m] 
High water height 
LWH 
[m] 
Low water height 
HWI 
[h] 
High water interval 
LM 
[h] 
Low water interval 
MI IM 
[h] 
Mean high water interval 
MLWI 
[h] 
Mean low water interval 
MHW 
[m] 
Mean high water 
MLW 
[m] 
Mean low water 
CO 
[°/Moon day] 
Angular velocities of harmonic members 
ii 
[1] 
Number of harmonic members 
n 
[1] 
Number of functions n = 2/7 +1 including constant 
proportion 
m 
[1] 
Number of observational data used in least square fit, 
m>n and m < N ciii/ - N slarl +1 
r 
[m o. h] 
Residues vector of inequalities in height or time 
W kx, 
[h] 
Calculated high or low water intervals 
W k,2,, 
[m] 
Calculated high or low water heights 
w k., 
[m] 
Calculated water levels of hydrograph