B.l. ROMAN SYMBOLS
549
xp - horizontal distance in wave flume
x - nondimensional x-coordinate
X - characteristic horizontal length
X
- characteristic string length
X
- fetch length
X
- a function of x
X - horizontal wave board position as function of z,t
^HB2
~ correct wave board motion to produce higher harmonics
Xlb2 ~ correct wave board motion to produce bound long waves
Xnrn2
" wave board motion to produce bound long waves or
second-order higher harmonics of two-component group
Xo - horizontal wave board position at z = 0
y - horizontal coordinate
y - nondimensional ^/-coordinate
Y - a function of Y
Yi - vertical velocity linear theory transfer function of
the ith linear component
z - vertical coordinate positive upward with z = 0
at still water level and z — —h at the bottom
z - nondimensional z-coordinate
Z - characteristic vertical length
Z - characteristic vibration amplitude
Zi
— horizontal velocity linear theory transfer function of
the z th linear component
Mathematical Symbols
d - partial differential operator
= - equals
« - approximately equals
[=] - has the dimensions of
oc - proportional to