Sentence examples for mathematical expression in from inspiring English sources

An attempt is made in this research also to define a mathematical expression in Lighthill frame for the 3D undulatory motion.

The mathematical expression in equation (1) represents the mass conservation principle and is the most general equation obeyed by any atmospheric pollutant.

From the mathematical expression in Eq. (7), the relationship between the receive time and other parameters cannot be explicitly evaluated without restrictive assumptions on the arrival process and the time-varying channel states.

Moreover, to calculate the produced power, corresponding to a specific wind speed, mathematical expression in accordance with [40] for wind power curve considering cut in, cut out and rated wind speed limitations is used.

In some of above studies, analytical approaches like Laplace transforms (Gupta [2003]), matrix method (Gupta et al. [2007]), and Lagrange's method (Mahajan and Singh [1999]) are used to discuss transient state of the resulting mathematical expression in order to study the performance metrics including reliability and time-dependent availability.

Cowger et al. (1992) developed a mathematical expression in order to separate mass transfer and kinetic limitations.

Cardenas-Barron (2009a) corrected some mathematical expressions in the work of Sarker et al.

Anti-realist doctrine invites such extension to the mathematical expressions in fundamental theories such as arithmetic.

Additionally, the mathematical expressions in the CFB approach have an easily understood physical meaning.

All mathematical expressions in the paper are derived using the first principles.

To simplify the mathematical expressions, in the following derivation the argument of the above two functions (3) and (4) sometimes will be expressed as a multiple of (5).