In 2009, pi was calculated to more than two trillion digits—in less than thirty hours.
We consider a system of points Pi, P1..
Oldenberg, The Vinaya Pi(akam (5 vols., London, 1879-1883); V.
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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.
I eac Pi c sto ?ers De o teon ?
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.
The oldest and for the most part Jewish portion of this literature is preserved to us in Greek, Armenian, Latin and Slavonic. (i.) The Greek Ooryr7vcs r€pi 'ASaµ rcai Eras (published under the misleading title 'AlroicaXvi/ics Mwvo ws in Tischendorf's Apocalypses Apocryphae, 1866) deals with the Fall and the death of Adam and Eve.
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.
14, &c.), a derivative of the verb hitter (Pi.) or hiktir (Hiph.), which verb is used, not only in Ex.
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.
Qr,, be the generalized coordinates of any dynamical system, and let pi, P2,
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,.
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.
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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,.
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~...