Sentence examples for approximations one from inspiring English sources

Based on published MRI data, we formulate the kinematics of a knee-joint and compare three mathematical approximations; one model bases on two sequential circles rolling a flat plane; and the other two are mathematically differentiable ellipses-based models with and without sliding at the contact.

Finally, following these successive approximations one finds the Hamiltonian given by the equation Eq. (1).

The hybrid difference method is composed of two types of approximations: one is the finite difference approximation of PDEs within cells (cell FD) and the other is the interface finite difference (interface FD) on edges of cells.

The benefit is that after the initial approximations, one has a rather rigorous measure of the similarity of pieces of proteins.

With some approximations one can write Equation (2).[ 37] (2) The microcanonical heat capacities C n appear because rate coefficients are expressed in terms of the microcanonical temperature T(E*); one often assumes that C n is given by the equipartition theorem, C n=(3 n−7) kB.

However, to construct this kind of normal approximations, one still needs to extract information from the sequencing data to incorporate, for example, time-dependent features and, importantly, one needs to check that the normal approximation is valid in all ranges of data at all time points considered.

It is shown that based on Rindel's approximation one may determine some substantial information about sound reflection from the panels i.e. the value of upper limit frequency as well as the relative sound reflection level.

Then based on the obtained optimal power allocation using this approximation, one can use Monte Carlo simulations to evaluate the "real outage" (corresponding outage probability performance given by F(P1)).

Using the derived approximation, one obtains different window sizes for different sets of DNA motifs depending on their similarities.

As a first approximation, one can assume a single homogeneous active monolayer of the catalyst film on the electrode surface.

As a first approximation, one could expect v to be fairly constant (i.e. dependent on blood viscosity and temperature, but not on the speed of the bulk flow), suggesting an inverse-proportional relationship between τ c and Deff.