The phrase "a linear equation for" is correct and usable in written English.
It can be used when discussing mathematical concepts, particularly in the context of equations that represent a straight line in a coordinate system.
Example: "To solve the problem, we need to find a linear equation for the relationship between the variables x and y."
Alternatives: "a linear formula for" or "a linear expression for".
We offload an iterative solver of a linear equation for a fermion matrix, which is in general the most time consuming part of the lattice QCD simulations.
These vectors were then treated as the linear regressors and the corresponding cognitive scores were treated as the targeted measures; together, they were input into the multiple linear regression model to obtain a linear equation for an estimate of the target measures.
We begin by showing that for an arbitrary flux function, one can put conditions on the time step in order to preserve positivity by solving a linear equation for density fluxes and a quadratic equation for energy fluxes.
In addition, Beal (1970) assumed a linear equation for mass and momentum flux.
These admixtures were used to construct an in vitro transfusion model of postoperative anemia and determine a linear equation for calculating the sample p50, which was subsequently used to calculate DO2 and VO2 after simulated transfusions.
The study proposes a linear equation for predicting the erosion-corrosion rate with two sets of coefficients for both the laminar and turbulent flow regimes.
The calibration curve was prepared by serial diluting 50 µmol/mL to 3.125 µmol/mL in water with 0.1% formic acid resulting in a linear equation using for quantification.
The work in [16] provides a linear equation model for estimating the source localization and propagation speed.
We show this with the simpler algorithm next, wherein we use the fact that the first L equation in the system is a linear equation system for dk (k = 1,…,L), originating from Equations 3 and 6.
Based on the geometrical relationship among time delay values, Walworth and Mahajan [12] proposed a linear equation formulation for the estimation of the three-dimensional (3D) position of a wave source.
End of the study a linear equation is predicted for surface roughness related to experimental study.
