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 LES MEILLEURES APPROXIMATIONS DE Pi

Chez les Babyloniens, p = 3 + 1/8.

La valeur de p proposée dans Le Papyrus de Rhind est (16/9)2 .

Dans la Bible, un passage raconte la construction du temple de Salomon et utilise implicitement la valeur p =3. Toutefois, les Hébreux avaient peut être conscience que 3 n'est qu'une approximation.

Archimède de Syracuse avait conçu une méthode basée sur l'encadrement d'un cercle par une succession de polygones aux côtés en nombre croissant. Il obtient: 3.1408 < p <3.1429.

Le plus ancien document indien où figure des calculs de p est le Siddhanta daté de l'an 380 de notre ère. On y trouve la valeur : 3 + 177/1250 = 3.1416.


Analytical steady-state solution to the rapid buffering approximation near an open Ca2+ channel.

GD Smith
Institute of Theoretical Dynamics, University of California, Davis 95616, USA.

We derive an analytical steady-state solution for the Ca2+ profile near an open Ca2+ channel based on a transport equation which describes the buffered diffusion of Ca2+ in the presence of rapid stationary and mobile Ca2+ buffers (Wagner and Keizer, 1994). This steady-state rapid buffering approximation gives an upper bound on local Ca2+ elevations such as Ca2+ puffs or sparks when conditions for the validity of the rapid buffering approximation are met and is an alternative to approximations that assume that mobile buffers are unsaturable. This result also provides an analytical estimate of the cytosolic Ca2+ domain concentration ([Ca2+]d) near a channel pore and shows the dependence of [Ca2+]d on moderate concentrations of endogenous mobile buffer, Ca2+ indicator dye, and bulk cytosolic Ca2+. Assuming a simple relationship between [Ca2+]d and the lumenal depletion domain of an intracellular Ca2+ channel, lumenal and cytosolic Ca2+ profiles are matched to give an implicit analytical expression for the effect of bulk lumenal Ca2+ on [Ca2+]d.


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Boliden: Boliden reports record results for Q4 - approxim...
19-01-2006 - 15:29
 
Boliden reports record results for Q4 - approximately SEK 1,575 million Boliden's preliminary operating result for Q4 2005 totals SEK 1,575 million, an im-provement of just over SEK 1,050 million on the corresponding period in 2004. The im-proved performance is mainly due to a combination of considerably stronger metal prices and improved mining production of copper. The preliminary operating result for 2005 as a whole totals SEK 3,059 million (SEK 1,831 m). The preliminary result after fi-nancial items amount to SEK 2,802 million (SEK 1,365 m) for the full year and to SEK 1,571 million (SEK 352 m) for Q4 2005.
"The preliminary Q4 operating result is the best ever in the history of Boliden. Healthy and stable production and the strong metal-price trend have contributed to the record result. As the result considerably exceeds market expectations, we have decided to publish the result ahead of plan," says Jan Johansson, President and CEO of Boliden.
The preliminary Q4 result includes a stock profit on the process stocks of SEK 363 million. As of Q4, c