Sentence examples for coefficients defined by from inspiring English sources

Owing to water air interface in wells, the effective dispersion coefficients defined by Taylor (1953, 1954), Aris (1956 , 1960, and later Watson (1983) are not suitable.

The expansion coefficients defined by the linear and nonlinear mutual correlations then display with precision and hierarchically the deviation from statistical independence.

The overall extraction rate coefficients defined by the product of the interfacial extraction rate constant and the specific interfacial area were evaluated using the experimental data and ranged from 3.5 × 10−3 to 6.7 × 10−3 s−1, which was close to the value of 3.4 × 10−3 s−1 obtained by batch extraction.

where and are "information coefficients" defined by (2.6).

(24) Here, n is the number of data points; ϕ is some radial basis functions; (lambda_{j}) are unknown coefficients defined by collocation methods.

where ( n j 1, j 2, …, j N ) are the multinomial coefficients defined by ( n j 1, j 2, …, j N ) = n ! j 1 ! j 2 !

The condition number and generalized amplifying coefficient defined by singular values of force Jacobian matrix are used to evaluate the performance of sensor, such as isotropy, sensitivity, stiffness, etc.

The effects of the matrix on the frequencies of radial breathing modes and vibration modes of multiwall carbon nanotubes embedded in the matrix is considered by a spring coefficient defined by the Winkler model.

And it was found that the overshoot coefficient, defined by the ratio of maximum to a steady-state value of wind force, decreased with an increase in the ratio of the initial wind velocity to the target wind velocity.

As we explained above, the constant correlation coefficient defined by (1) only captures linear relationships between (X_{1}) and (X_{2}).

and we also denote by ( n r 1, …, r k ) the multinomial coefficient defined by ( n r 1, …, r k ) = n ! r 1 !