Sentence examples for under the equation from inspiring English sources
The phrase "under the equation" is correct and usable in written English
It is generally used to describe how a certain result was obtained, or how an action is taken in relation to an equation or calculation. For example, "After evaluating the coefficients and rearranging the terms, I was able to determine the values of the variables under the equation."
Least mean absolute (LMA) based adaptive algorithms are developed for designing these filtering structures under the equation error formulation framework.
We bring additional conditions for and under which the equation has oscillatory solutions with decreasing amplitudes.
The impact angle exponent was increased in order to reduce the equation under-prediction for the oblique incidence data.
Under such conditions, the equation for the K+ current is given by: (38) I K + = i 0 ⋅ ν K + ψ m ⋅ ψ - ψ K +.
To proceed further, we also assume that vehicle's suspension system is linear, under which the equations of motion of vehicle suspension systems for small oscillations can be derived using the Lagrange equations.
The existence of traveling-wave solutions for the equation under consideration is a well-known fact.
Since, these solutions correspond to the invariance of the equation under the group of translations a → u(· + a).
We clarify the properties of the phase space ensuring equivalence between the equation under investigation and the nonlinear semigroup.
These conservation laws, as in the case of differential equations, have a variety of applications especially as another tool in the reduction of the equation under scrutiny.
In this paper, by applying the criterion of invariance of the equation under the infinitesimal prolonged infinitesimal generators, we find the most general Lie point symmetries group of the Kundu-Eckhaus equation.
In this paper, the criterion of invariance of the equation under the infinitesimal prolonged infinitesimal generators is applied in order to determine the most general Lie point symmetry group of a well-known nonlinear dynamical system: 2D gKS equation.
