Sentence examples for formulated by equations from inspiring English sources

This experiment is an instance of the concept formulated by Equations (4), (5), and (6).

Vadasz [22] showed that the problem formulated by Equations (1) and (3) subject to appropriate initial and boundary conditions represents a particular case of Dual-Phase-Lagging heat conduction (see also [24 28]).

The primal multi-objective optimization problem formulated by equations (5) to (12) is a multi-objective mixed-integer nonlinear programming problem.

Formulated by Equation (5), coefficient matrix K is guaranteed to accomplish the convolution operation without approximation.

At the core of the class formulated by Equation 1 is the WVD which is characterized by a T-F kernel defined as γ t, f) = δ(t)δ(f), where δ is the Dirac delta function.

Based on an extended state observer, a nonlinear attitude tracking control approach is developed for spacecraft attitude model formulated by Euler Lagrangian equations.

Solution concentrations (mmol/L) were formulated by solving equations describing ionic equilibria [ 33].

The structure model of the folding wing is formulated by the Lagrange equations, and the constraint equation is used to describe the morphing strategy.

The eigenvalue problem represented with a multi-degree-of-freedom system equation is formulated by Lagrange's equation of motion, while characteristic orthogonal polynomials having the properties of Timoshenko beam functions and satisfying the specified edge constraints are used as approximation functions.

An evolution equation corresponding to the robot system formulated by partial differential equations with initial and boundary conditions is established in an appropriate Hilbert space.

For the packed bed, the Nusselt number equation could be formulated by the following equation [14]: N u = 2.0 + 1.3 Pr 0.15 + 0.66 Pr 0.31 Re P 0.5 Open image in new window (24).