In 2009, pi was calculated to more than two trillion digits—in less than thirty hours.
I eac Pi c sto ?ers De o teon ?
14, &c.), a derivative of the verb hitter (Pi.) or hiktir (Hiph.), which verb is used, not only in Ex.
If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes dg r ldt, &c., and E is the total energy expressed as a function of pi, qi,.
We consider a system of points Pi, P1..
Oldenberg, The Vinaya Pi(akam (5 vols., London, 1879-1883); V.
': opal e ° °o T A R ple ' ag a ',ap iJ,wl Karkinit A C K r B L Scale, English Miles D S E A 32 Stavropol P O L A PI A N L A s E Derbent ° I?
1 It has also been pointed out that the employment of the sign PI for wa and the use of z for s, cited in support of the earlier date, survived in the Kassite period.
(From Gegenbaur, pi, Pallial nerve.
Mines are also worked at Kwanyin-shan, opposite the Russian frontier town of Radevska, and at Chia-pi-kou, on an affluent of the upper Sungari.
A partition, (pipipip2p2p3) = can be separated in the manner (p 1 p 2) (PIP2) (p1P3) = (1)12,2) 2 (plp3), and we may take the general form of a partition to be (pi i p2 2 p3 3 ...) and that of a separa tion (J 1) 1 1(J 2) 5 2(J 3) 1 3...
.-1 (PI +V2+V3+...- 1)!
Pi, Pulmonary lamellae.
Of the amphibious rodents, the pi-ea (Cavia aperea), mod, (C. rupestris), paca (Coelogenys paca), cutia (Dasyprocta aguti) and capybara (Hydrochoerus capybara) are noteworthy for their size and extensive range.
Whose coefficients are connected by a relation of the form pocr+plcr_1+...-i-pkcr-k= o, where po,pi, ï¿½ ..pk are independent of x and of r.
A considerable school of carvers soon began to work in the Matsumoto style, and hundreds of their pi-oductions have gone to Europe and America, finding no market in Japan.
Let us suppose that an infinite number of exactly similar systems start simultaneously from all possible values of pi, q1,
Let us confine our attention to those systems for which the initial values of pi, qi, ...
Pn, qn lie within a range such that p t is between p i and pi +dpi qi „ „ qi „ qi +dq i, and so on.
Thus after a time dt the values of the coordinates and momenta of the small group of systems under consideration will lie within a range such that pi is between pi +pidt and pi +dp,+(pi+ap?dpi) dt „ qi +gidt „ qi+dqi+ (qi +agLdgi) dt, Thus the extension of the range after the interval dt is dp i (i +aidt) dq i (I +?gidt).
From equations (i), we find that aq _ o a pi qi -, so that the extension of the new range is seen to be dp i dq i ...
This is equivalent to a steady pressure p i per unit area where +0 pi - zfff v J 1 (h3m3/ir3)e hm(u2+v2+w2)mu2dudvdw.
TO Ti ?pi €ivat), i.e.
Then, if the true moments are denoted by Pi, v 2, ..., their values are given by vi ?Pl P2 - 11.
Of travelling loads at fixed distances, let PI, P2, P3,.
Then the economic span is 1= loo-1 PI / G.
Pi Margall, and A.
AiyEl 'IT] O'oUS iav µi 7 v77(rTEb(r77TE Ten, KOopOV p1 7 EUpr7TE Ti) v (3a0'i%ELav Beou' Kai iav pi 7 (ra013aTi(rr 7 TE TO aciMarov obi(64Ã†cree 7raripa.
Xiyel '177(eou)s' [ra y Tb pi) 1p7rpo(rBEV T9] S t4'dWS (rOV Kai [TO KEKpvppivov Q7rO vol3 h7roKaXv4(0)i crer[ai O"ot.
Picumnus, a rustic deity (like Picus) and husband of Pomona, is specially concerned with the manuring of the soil and hence called Sterquilinus, while Pilumnus is the inventor of the pounding of grain, so named from the pestle (pi/um) used by bakers.
Pi, The pedicle of invagination, the future rectum.
By the Arabianized emancipated slaves of the Albert Edward district the okapi is known as the kenge, o-a-pi being the Pigmies' name for the creature.
The volumes of the Scri pi ores contain not only the domestic chroniclers, but also selections from the work of foreign writers who give information about the history of Germanyfor example, the Englishman Matthew Paris.
E ?-; tagsnamn qsselh';P' Pi.: ...: g ingst d ., ...
The former, the old city, lying close to the harbour front, has streets as narrow as is consistent with wheel traffic. Obispo (Pi y Margall in the new republican nomenclature), O'Reilly and San Rafael are the finest retail business streets, and the Prado and the Cerro the handsomest residential streets in the city proper.
449 A) makes him describe himself as a pi 7 TCOp, it is reasonable to suppose that he preferred that title.
In Burma the favourite relish of nga-pi is prepared from fish; and at Goalanda, at the junction of the Brahmaputra with the Ganges, and along the Madras coast many establishments exist for salting fish in bond.
Vi.; Antonios Miaoules, `T7ro wflua it pi v7wov "TSpas (Munich, 1834); Id.
The syllabary upon the Galassi vase indicates in all probability that the vase, which resembles an ink-bottle, belonged to a child, for whose edification the syllables pa, pi, pe, pu and the rest were intended.
Denoting these limits by Pi, Pa we have P1/W=L1H/HK=sin (aX)/cos (0+X),
Pi/W=L1H/HK=sin (a+X)/cos (0X).
It appears, moreover, that if 0 be varied P will be least when L1H is at right angles to KLi, in which case Pi =W sin (aX), corresponding to 0 = X.
A number of particles attached at various points of a string are acted on by given extraneous forces Pi, P, P3.
The given forces Pi, Pi, P2..
As a special, but very important case, the forces Pi, F2, P~...
If the forces are all parallel, making say an angle 0 with Ox, we may write Xi = Pi cos 0, Vi = P1 sin 0, Xi = P2 cos 0, VI = Pi sin 0,.
And by the ratios Pi: P1:.
Let (x1, yi, Zi) be the co-ordinates of a point Pi on the line of action of one of the forces, whose components are (say) X1, Yi, Zi.
The force X1 at Pi with K -
If through Pi, Pf,.
In,., acting at Pi, P2.
If Pi, P2,.
Ten years later, in 1959, Francois Genuys used an IBM 704 and calculated pi to more than fifteen thousand digits in just four hours.
Archipelagdfk Straits of Magella' l'C. Desolat Pi ion I.
Pi, The pedicle of invagina tion, the future rectum.
Ing gs, the bilobed arch sh, The primitive shell-sac or enteron or lateral vesicles shell-gland ° of invaginated endoderm, pi, The rectal peduncle or whichwill develop into liver.
It is in a like laudatory meaning that Gregory reckons the New Testament apocalypse as iv anron: pi flocs (Oratio in swam ordinationem, iii.
Qr,, be the generalized coordinates of any dynamical system, and let pi, P2,