Sounds like a dime novel, doesn't it?
That doesn't matter now.
Yes, he'd noticed the new padlock, but didn't see it being installed.
Dean didn't answer.
He'd already finished most of the report, hadn't he?
It's a wonder you didn't kill yourself!
After making a few turns, Fred realized he wasn't imagining the car was tailing him.
Let the particle be at the origin of coordinates, and let the expression for the primary vibration be =sin (nt - kx).
(2) The acceleration of the element at the origin is - n 2 sin nt; so that the force which would have to be applied to the parts where the density is D' (instead of D), in order that the waves might pass on undisturbed, is, per unit of volume, (D' - D)n 2 sin nt.
Thus by equation (18) of § II of the article Diffraction Of Light, the secondary disturbance is expressed by D' - D n 2 Tsin sin (nt - kr) D 47rb2 r _ D' - D irTsin O sin (nt - kr) (3)1 The preceding investigation is based upon the assumption that in passing from one medium to another the rigidity of the aether does not change.
If µ' denote the refractive index of the material composing the particles regarded as continuous, D'/D =µ' 2, and µ = 2 nT 0 2 ' 2 - I), (17) reducing to µ - I =nT(µ' - i),..
De- nt generation of the shell occurs in some members of the order.
Nt a s b b c?
A2 Since e= I -72= V the above expression for N may be written 4 7r nt + 1/m 2 - I N = 11t1-I (2011-- I in - Jnt2 - I I/ 4 7r C = 111 2 - I 1/111 t - log (in + Im 21) - I, from which the value of N for a given dimensional ratio can be calculated.
These, together with values of nt 2 N for cylindrical rods, and of N and m 2 N for ellipsoids of revolution, are given in the following useful table (loc. cit.
A collection of the Greek and Latin fragments that have survived, mainly in Origen and Jerome, will be found in Hilgenfeld's NT extra Canonem receptum, Nicholson's Gospel according to the Hebrews (1879), Westcott's lntrod.
Retaining only the real part of (16), we find, as the result of a local application of force equal to DTZ cos nt (17), the disturbance expressed by TZ sin 4, cos(nt - kr) ?
We will now apply (18) to the investigation of a law of secondary disturbance, when a primary wave = sin (nt - kx) (19) is supposed to be broken up in passing the plane x = o.
The force operative upon the positive half is parallel to OZ, and of amount per unit of area equal to - b 2 D = b 2 kD cos nt; and to this force acting over the whole of the plane the actual motion on the positive side may be conceived to be due.
According to (18), the effect of the force acting at dS parallel to OZ, and of amount equal to 2b2kD dS cos nt, will be a disturbance - dS sin cos (nt - kr) (20), regard being had to (12).
U illir??l gg llN 'I ??I ' Nt??p?ll';h..
Bedf?nt?j FelEfram` .
In the general motion again of the liquid filling a case, when a = b, 52 3 may be replaced by zero, and the equations, hydrodynamical and dynamical, reduce to d =- 2+ 2 J, = 2 x22111, d = 2 2`2 (+/'15-Om) (1 yy y n`t dt a +c dt a +c dt a +c) dc2, a2-1-c2 d122 a2 c2 dt ="2) +a2= G2y 71' dt = 121 1 - a 2 -c 2SJ, (19) of which three integrals are e +777 r z y 2= L -?2J2, (20) (a2 + c2) 2 2 121+14 =M+ 2c2(a2-c2)1 ' (21) 121+522hN = + x24 2,2 and then (dt / 2 = (a2 + c 2) 2(° v 2 - 12171) 2 4C4 2 2 - (+ c2)2?(E+77) (?
In a state of steady motion d4- 121 _S22 Tit °' - fl 4=1G = nt, suppose, S21 -F9,277 = S2co, d4 a2+c2 WI- 1 a2-c2S21' _ 2a 2 SZ dt a2+c2cos' a 2 + c 2 a, 2 a 2 S2 I- a2_c22--a2+C2,0, 1a2 c2)2 (a 2 -c 2) (9a2-c2) ?
These considerable reductions in the dates of the earlier dynasties of Babylonia necessarily react upon our estimate of the age of Babylonian civilization The very high dates of 5000 or 6000 B.C., formerly assigned by many writers to the earliest remains of the Sumerians and tl e Babylonian Semites, 12 depended to a great extent on the statem nt of Nabonidus that 3200 years separated his own age from th: t of Naram-Sin, the son of Sargon of Agade; for to Sargon, on this statement alone, a date of 3800 B.C. has usually been assigned.
Hence to represent D, Greek has now to resort to the clumsy device of writing NT instead.
Putting A /M =n 2 the equation becomes x+n 2 x=o, whence x =A sin nt, and the period is 27r/n.
Trunk series: t N = [s +al +b/s 1 [1 5 +a1 +b'/(I.5)2}2 Main Branch Series: t ytr' - I I N [2 + al + 6/29 2 [r+al Side Branch Series: t nT = N [2 +al+6,/22]2 [s+c+d,s92 Here s stands for an integer number beginning with 2 for the trunk and 3 for the main branch, and r represents the succession of numbers 1 5, 5, 3 5, &c. As Ritz points out, the first two equations appear only to be particular cases of the form n I I N +1)2 in which s and r have the form given above.
It is associated with a series for the second and third persons: nt-k, nt-l, nt-f, nt-in, &c.; but from their history, use and form, it seems probable that the last are of later formation, and are not to be connected with the Semitic pronouns (chiefly of the 2nd person) resembling them.
The Buyid ruler, who was now slinreme nt Ba2dsd, nermitte,d the Tkshlil to remsin in possession of his viceroyalty, but shortlya after receiving this confirmation he died at Damascus in 946.
By the Jews it is usually styled after its opening words nt;j r' i (We'eleh Sh'emoth) or, more briefly, r> (Shemoth).
The solution is x=A cos nl+B sinai, y=C cos nt-ED sin at, (9)