NOMENCLATURE 
D 
Gear Yo> a) 
(2c, Ys z,) 
Glo (Ba 9 
(cos a, COS 8B, cos 7) 
D| 
ay) ay). a) 
BE, or E Cony) 
B 
7m 
ar 
I 
distance from the sound source to the 
origin of the array 
coordinates of the sound source with 
respect to the origin of the array 
coordinates of the pu element with 
respect to the origin of the array 
the direction angles of the line joining 
the origin with the source measured 
frLOmIthelyc, psa ss eeSpecimvelly, 
a unit vector in the direction of the 
vector outward from (0, 0, 0) to 
(xo, Yo» Zo) Where cos a, cos 8, and 
cos y are its direction cosines 
phase difference of the aoe element 
with respect to the origin 
angle between the vectors 
(-x%0, -Yo» -Z0) and 
(200 = 2, Yo — Y.> Zo 7 Z,) 
distance from the source to the sus 
element 
.th 
response of the 7° element 
directivity function 
the normalized directivity function 
weighting factor assigned to the an 
element or element (x, y, 2) 
region in 2-space 
region in 3-space 
generalized region 
dimensional differential 
