Sentence examples for quantities mentioned from inspiring English sources

It is well known that the multisymplectic method can preserve the inherent local geometric properties of infinite-dimensional Hamiltonian systems, so we would like to know whether the quantities mentioned above are conserved.

"Motion of the system due to the interaction" section is the main body of the paper; the modeling of the system is presented, and metrics and quantities mentioned in this section are derived.

Although including the plane wave result as a special application, it is not in general equal to any of the three quantities mentioned, but is something different, the numerical values of which are discussed for the sound field of a continuously vibrating, circular piston source.

More precisely, the life lengths of individuals are exponentially distributed with death rate μ, and during the life each individual gives birth to new individuals according to a Poisson process with intensity λ, all random quantities mentioned being independent of each other.

A multifractal formalism describes intermittency and was used to deduce the distributions of the already mentioned quantities.

Other quantities of the mentioned gene causes using two designs in production program and therefore the chance of producing the design from two patterns will be 75%.

Experimentation based on statistical design has been carried out and model equations using factorial design of experiments have been developed for the above mentioned quantities for a promoted gas solid fluidized bed.

It is used to find out the numerical solutions for the components of velocity and also for the local pressure coefficient and the exact values of the mentioned quantities.

βCD and F. verna extract in the above mentioned quantities were kneaded for 15 minutes in a mortar in the presence of a small volume of water (a ratio of 2 1 between extract and water, by volume) at the constant temperature of 50°C.

To have an idea about the eventual smoothness of this quantity, we mention that by letting the function h ′ be at least absolutely continuous [17], Chapter 7] the (usual) derivative of h will exist almost everywhere with respect to the Lebesgue measure m on R, see [18], p.35, Lemma 2.2].

In this paper we review the concept of the robust finite frequency H2 norm, and we provide an algorithmic method for calculating an upper bound for the mentioned quantity.