1883; Pauly-Wissowa, Realencycloptd"ie, iii.
Ga Rakh Sofia Srule zi C.; Emine B ie C A lC K Sazopolis ?1.
- zn +9 1 -z2.1 -z3....1-z8; and since this expression is unaltered by the interchange of n and B we prove Hermite's Law of Reciprocity, which states that the asyzygetic forms of degree 0 for the /t ie are equinumerous with those of degree n for the The degree of the covariant in the variables is e=nO-2w; consequently we are only concerned with positive terms in the developments and (w, 0, n) - (w - r; 0, n) will be negative unless nO It is convenient to enumerate the seminvariants of degree 0 and order e=n0-2w by a generating function; so, in the first written generating function for seminvariants, write z2 for z and az n for a;.
+bx 2, every leading coefficient of a simultaneous covariant vanishes by the operation of a+Sib=aoda +alda.2+...+a7,-1d a P+bod b Observe that we may employ the principle of suffix diminution to obtain from any seminvariant one appertaining to a (p-I)i c and a q - I ie, and that suffix augmentation produces a portion of a higher seminvariant, the degree in each case remaining unaltered.
Now when r+s>n, the product E r E B is defined to be that unit of which the supplement is the progressive product IE,4E 8.
The sum and product of two quantities are defined in the first instance by the formulae zae -IE(3e = E (a +0) e, Za,ei X E ai e j = (a iai) eie9, so that the laws A, C, D of ï¿½ 3 are satisfied.
For instance, in a uniplanar flow, radially inward towards 0, the flow across any circle of radius r being the same and denoted by 27rm, the velocity must be mfr, and 0=m log r,, y=m0, +4,i =m log re ie, w=m log z.
Vast p PRINTED If ouds of dust and stones, blown out of the crater and funnel of ie volcano, were hurled into the air and carried for hundreds miles, the finer particles falling to the earth even.
On one of the ridges Itween these radiating valleys an observatory for watching ie progress of the volcano was established by the Neapolitan)vernment, and is still supported as a national institution.
N -Tax ie' 1'-1, ri t.1-?-,: n?
I-Ie was to be given as the kane to Hell, which shows a distinction between the beliefs in hell and in the place of fairies.
Among all the eight passages mentioned above, the most valuable is that from the Eudemian Ethics (A 8), which discriminates extraneous discourses and philosophical (Kai ie rois i wTEpLKOLS XIyocs Kai iv roas Kara 4cXoac41av, 1217 b 22-23); and it is preceded (A 6, 1216 b 35-37 a 17), by a similar distinction between foreign discourses (h¦Xorpioc Aoyoc) and discourses appropriate to the thing (oiKEioc Aoyoc Tor, 7rpayp,aros), which marks even better the opposition intended between dialectic and philosophy.
In 1816 the first annual conference was held, id in 1843 there was instituted a general conference, composed delegates chosen by the annual conferences and constituting ie highest legislative and judicial authority in the church.
(I) free assistance funds (Fre-ie H-ilfskassen), either registered under the law of f 876, as modified in 1884 (Eingeschriebene Hilfskassen), or established under the law of the separate states (landesrechtliche Hilfskassen); (2) Betriebs- or Fabrikkrankenkassen, funds established by individual factory-owners; (3) Baukrankenkasse, a fund established for workmen engaged on the construction (Bau) of particular engineering works (canal-digging, &c), by individual contractors; (4) gild sick funds (Innungskrankenhassen), established by the gilds for the workmen and apprentices of their members; (5) miners sick fund (Knappschaftskasse); (6) local sick fund (Ortskrankenkasse), established by the commune for particular crafts or classes of workmen; (7) Gemeindekrankenversicherung, i.e.
Aul ie vviov 0 44 dstock Scale, 1:7,100,000 English Miles 20 o So 120 160 Railways +r?
When Horus grew ie set out to avenge his fathers murder, and after terrible ggles finally conquered and dispossessed his wicked uncle; is another version relates, the combatants were separated by th, and Egypt divided between them, the northern part ng to Horus and the southern to Seth.
Their inice is particularly conspicuous in the prominent place accorded ie sun-god Re, and in the creation-legend that made him the er of gods and men.
The points whose displacements are in the direction of the resultant axis of rotation are determined by Ix: Iy: Iz = E: ~: ~, or (X +nz ly)IE = Cu + Ix ~z)/v = (e +:~y ~x)ft.
Zend asha for Sanskrit tha, Old Persian aria (in dy taxerxes); fravashi for Pahlavi fravardln, New Persian ferrer tn ie spirits of the dead).
Thr We do not know in what character Zend wa~ written before the pn ie of Alexander.
26, celavit = ii pw,tie, corrupt for - ypat/ie (so Ethiopic).
Ie 1 °I/4z Sutton ?'
Both S ie g e of flung to the winds the European rules of warfare, Delhi.
Ii, inner, ie, outer integument.