The forces m1PiPi, mi.P2P1,.
Mi - P2P12+ 0 +.
Where ri, rf are the distances of mi, rni from their mass-centre G.
Mif-mi The increase of the kinetic energy of the system in any interval of time will of course be equal to the total work done by all the forces acting on the particles.
Hence (mi, my, m2) is called the actual or effective force on m.
The components of linear momentum are then M~, Mi, and the angular momentum relative to G as base is JO, where M is the mass and I the moment of inertia about G.
It is called V u-mi, Imperial rice, because it was first cultivated in my gardens.
It is convenient at this point to mention several other minor dynasties founded by nominal governors in various parts of Mi Persia and its borderland.
The well-intentioned abolition of the tax on meat also had not the desired result, for by a system of cornering the price of meat rose to more than it In the autumn of 1896 the grand vizier (Amin-es-Sultan) encountered much hostility from some members of the shahs Mi I t riai entourage and various high personages.
Th ldner (Stuttgart, 1886-1895; also in English); translation into rman by Spiegel (Leipzig, 1852), and into English by Darmesteter mi xford, 1880) in Max Mullers Sacred Books of the Easi.
Detached details are given also in works upon Constantine (Manso), Julian (Mi eke, Rode, Neumann, Rendall), Damasus (Rade), Arianism (Gwatkin's Studies of Arianism, which gives a severe but trustworthy criticism of Rufinus and discusses the manner in which Socrates was related to him), the emperors after Julian (De Broglie, Richter, Clinton, the Weltgeschichte of Ranke, the Gesch.
Mi hlbacher, Deutsche Gesch.
333 n.) thus defines the term: " La suzerainete est la souverainete limitee exercee par le pouvoir supreme d'un etat sur un gouvernment mi-souverain," a definition applicable to protectorates, with which it is often confounded.
"Mi corazón," Grande said, faking a wounded look.
(2) The Mi-shkodrak (Upper Scutari) group or confederation, also known as the Malsia-Madhe (Great Highlands), is composed of the Klement, Grud-a, Hot, Kastrat and Shkrel tribes, which occupy the mountainous district north-east of Scutari.
(3) The Dukajin, whose territory lies between that of the last-named group and the district of Jakova, include the Pulati, Shalla, Shoshi and other tribes; they are more independent and more savage than the Mi-shkodrak, 1 and have never paid tribute from time immemorial.
- 829,000, , 21.5 Finistre Gard About two-thirds of the French departments, corn- Gers prising a large proportion of those situated in Gironde mountainous districts and in the basin of the Garonne, Haute-Ga where the birth-rate is especially feeble, show a Haute-Lo Haute-Mi decrease in population.
Brc e authors of these deeds when pursued by troops fled into papal MI ritory, where they were welcomed by the authorities and allowed ., refit and raise fresh recruits under the aegis of the Church.
Non-Semitic) is rendered certain by the proper names Jau-bit-di (= Ilu-bi`di) of Hamath in Sargon's inscriptions, Ahi-jawi (mi) in Sellin's discovered tablet at Ta'annek, to say nothing of those which have been found in the documents of Khammurabi's reign.
Mi hlbacher, Deutsche Geschichte unter den Karolingern (Stuttgart, 1896).
2 The identification of the Israelite king with Me-ni-hi-(im)-mi of Sa-me-ri-na-ai on the Ass.
_ ...+o(mi and another by putting x i = x 2 = x3= ...'
It is now to be remarked that the partition (/,A.1/2)1/42/A38...)can be derived from (m"13mï¿½2sm"`38...) 1 2 3 is 2s 3s by substituting for the numbers mi., m 231 m 331 ...
And take therein the coefficient of the function (mi t tm7t t m 31 t ...), we obtain the same result as if we formed the separation function in regard to the specification (mï¿½ It t'tm2 32tm"`l3t...), multiplied by Alt!!
The sum and product of two quaternions are defined by the formulae mi ase + F+lases = (a s + 133) es 2arer X ZO,es = Fiarfseres, where the products e,e, are further reduced according to the following multiplication table, in which, for example, the eo e1 e2 e3 second line is to be read eieo = e1, e 1 2 = - eo, e i e 2 = es, eie3 = - e2.
At midnight of the 19th of November 1740 he was seized in his bedroom by his ancient rival, Field Marshal Mi nnich.
It is decorated with diamond or steel-point etching, and bears on one side the date 1586, and on the opposite side the words " In God is al mi trust."
Thus names like Sin-na-di-in-shu-mi and Bel-na-di-in-shu-mi, i.e.
They offered a singular attraction to the Romans, and their presence in remote parts of the Mi nera country no doubt was often the principal cause of Roman S pr i ngs.
The native artist who crested the first great wave of Japanese painting was a court noble named Kos no Kanaoka, living under the patronage of the emperor Seiwa ~ mi (850859) and his successors down to about the end of J~~d the 9th century, in the midst of a period of peace and culture.
Other important places are Leoben (10,204), Bruck on the Mur (7527), Mariazell (1263), Mi rzzuschlag (4856), Eisenerz (6494), Vordernberg (3111), Judenburg (4901), Trifail (10,851), Eggenberg (9570), Donawitz (13,093), KOflach (3345) and Voitsberg (3321).
When Pliny hesitates about a small affair relating to Dio Chrysostom (the Bithynian friend of Nerva and Trajan), the emperor betrays a not unnatural impatience in his response: potuisti non haerere, mi Secunde carissime (82).
There is also little doubt that the names of the first six notes of the scale, ut, re, mi, fa, sol, la, still in use among Romance nations, were introduced by Guido, although he seems to have used them in a relative rather than in an absolute sense.
He addressed a letter to a person named Vussin, whom he calls fili and mi nate, but, as Vussin is not mentioned in documents in which his interests as Einhard's son would have been concerned, it is possible that he was only a young man in whom he took a special interest.
Boats of 350 tons can ascend generally as far as Mi.inden.
The principal formation of the Mi Atlantic coastal plain is the Chesapeake formation, ~ ~ largely of sand.
Under them are village headmen or tso-piin, headmen or mi-pan, and elders or gyan-po.
Maximilian was not Maxi- slow to resent this interference; he refused to appoint mi/ian a president, and soon succeeded in making the meetings hampers of the council impossible.
Alhama was taken by the Spanish marquis of Cadiz in 1482; and its fall is celebrated in an ancient ballad, Ay de mi, Alhama, which Byron translated into English.
Its three divisions are the " subjective mind " (psychology), the " ob jective mind " (philosophic jurisprudence, moral and ° mi philosophy of artt, h religionand philosophy).
Dealing in the same way with the forces Yi, Zi at P1, we find that all three components of the force at P1 can be transferred to 0, provided we introduce three couples L1, Mi, Ni about Ox, Oy, Oz respectively, viz.
It is seen that L~, Mi, Ni are the moments of the original force at P~ about the co-ordinate axes.
P,, we draw any system of parallel planes meeting a straight line OX in the points Mi, M2,
1(mi) (m-2)-5-K, is the " Geschlecht " or " deficiency " of the curve, say this is = D.
In mentioning any single tooth, such a sign as mi will mean the first upper molar,, nl the first lower molar, and so on.
Donner, Lieder der Lappen (Helsingfors, 1876); Poestion, Lappldndische Mi rchen, &c. (Vienna, 1885).
(C. Mi.) Literature 1.
The irritation of the disfranchised proletariat was moreover increased by the appalling dearness of bread and food generally, which the suspicious temper of the timesfomented by the tirades of Marat in the A mi du peupleascribed to English intrigues in revenge for the aid given by France to the American colonies, and to the treachery in high places that made these intrigues successful.
Montero Rios, Seor Moret having refused the premiership. The government programme, announced with a Montero view to influencing the impending elections, included Rios financial reform, reform of the customs, modifica- Mi,n1sti~y, tion of the octroi, and the question of the concordat 1905.
Personal pronouns: i (dii), yos (illos); possessive pronouns: mi, pl.
In this sense the word is pronounced mi-nute.
Upper part of seed, in longitudinal section; i, integument; mi, micropyle; n, remains of nucellus; p.c, pollen-chamber (containing pollen-grains), with its canal extending up to the micropyle; pr, part of prothallus; ar, archegonia.