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This general formula can be degraded to find the expression of meridians in two-dimension.
To do that we need to find the expression of the mean curvature operator for normal graphs of functions defined on M k, τ.
In order to find the expression of the EMSE of the algorithm (defined as ), we need to evaluate the following relation: (46).
The reader who would like to find the expression of the Peregrine breather of order 5 will be able to refer to the article[21].
To find the expression of this pressure, we consider the first law of thermodynamics for a reversible process Open image in new window (2 where U, V, T and S represent respectively the internal energy, volume, temperature and entropy.
In order to find the expression of control u which will be used in the approximate control system, we consider the linear regulator problem consisting of minimizing the cost functional J ( u ) = ∥ x ( b ) − x b ∥ 2 + λ ∫ 0 b ∥ u ( t ) ∥ 2 d t, (2.3).
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In order to find the expressions of coefficients arising from integrals considered in a Cauchy principal value sense, for which we apply the truncation technique, we need to mention the connection between the two systems of numbering used in this approach: the global and the local one.
It was a surprise to find the expression patterns of the five yeast strains with modulated levels of BER were strikingly different from the expression patterns of yeast exposed to MMS.
The generated images were further visually analyzed to find the expression signal for each of 13 miRNAs.
These equations allow us to directly find the expressions of the PAPR distribution for any particular functions and characterize the behaviour of the PAPR distribution associated with different transmission and observation scenarios.
Using this method, we are able to find the analytical expression of the entropy for arbitrary values of both n and λ ∈ N (see [2]).
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