See also:

• J1(P)
• J1 (Z)

J1 (Z)  _2 - 22.4+22.42.6 22.42.62.8 + . When z is See also:

• GREAT

great, we may employ the semi-convergent See also:

• SERIES (a Latin word from serere, to join)

series , ~/ See also:

• R2(rt-s2)

r2 1 3 1 _3.5.7.1.3 3.5.7.9.11.1.3.5 . I-'V .`zr) co*—170 8 z 8.16.24 (i) + 8.16.24.32.40 7 \i) s— • (10) . A table of the values of 2z-'Jl(z) has been given by E . C . J . Lommel (Schlomilch, 187o, 15, p . 166), to whom is due the first systematic application of See also:

• BESSEL, FRIEDRICH WILHELM (1784-1846)

Bessel's functions to the diffraction integrals . The See also:

• ILLUMINATION

illumination vanishes in See also:

• CORRESPONDENCE
• CORRESPONDENCE (from med. scholastic Lat. correspondentia, corrcspondere, compounded of Lat. cum, with, and respond ere, to answer; cf. Fr. correspondance)

correspondence with the roots of the See also:

• EQUATION (from Lat. aequatio, aequare, to equalize)

equation Jl(z) =o . If these be called z2, z3, ... the radii of the dark rings in the diffraction See also:

• PATTERN

pattern are 'zi f1z2 2xR ' See also:

• ARK (a word common to Teutonic languages, cf. Ger. Arche, adapted from the Lat. area, chest, cf. arcere, to shut up, enclose)„ a chest, basket or box. The Hebrew word tebah, translated in the' A.V. by " ark," is used in the Old Testament (1)

ark' ' ' being thus inversely proportional to R . The integrations may also be effected by means of polar co-ordinates, taking first the integration with respect to r"so as to obtain the result for an infinitely thin See also:

• ANNULAR, ANNULATE

annular See also:

• APERTURE (from Lat. aperire, to open)

aperture . Thus, if x=p See also:

• COS
• COS, or STANKO (Ital. Stanchio, Turk. Islan-keui, by corruption from Etc rav KW)

cos y=p See also:

• SIN
• SIN (O. Eng. syn: a common Teutonic word, cf. Dutch zonde, Ger. Siinde)

sin (p, C = ff cos px dx dy = f R f02 r cos (pp cos 0) pdp do .