The phrase "a discrete plane" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or computer graphics where you are referring to a distinct, separate surface or area.
Example: "In the simulation, we modeled the interaction of particles on a discrete plane to analyze their behavior under different conditions."
Alternatives: "a distinct surface" or "a separate plane".
Accordingly, a discrete plane is a set P a,b,c,μ,ω) of integer points (x,y,z) satisfying the Diophantine inequalities 0⩽ax+by+cz+μ<ω.
Magritte could have painted a sky of bricks, but he preferred to keep his elements separate, each symbol appearing on a discrete plane, receding parallel to the picture plane like scrims in a stage set: a bowler hat up front, then an apple, then a pair of breasts, then a brick wall.
For a discrete plane curve γ, we denote by q n the distance between the adjacent vertices q_{n} = left|gamma_{n + 1} - gamma_{n}right|.
For the definition and fundamental properties of the discrete Burgers hierarchy, the readers may refer to Appendix B. For a map (gamma colon mathbb {Z} to mathbb {R}^{2},, n mapsto gamma _{n}), if any consecutive three points γ n+1,γ n,γ n−1 are not colinear, we call γ a discrete plane curve.
Furthermore, it provides a general description of the discrete plane frame problem with a view to its eventual computer implementation as a MATLAB script.
In the discrete plane Z2 such a coding is widely used for representing connected discrete sets by their contour which forms a closed and intersection free path.
A discrete lattice plane, nearest neighbor, broken bond model with constant bond energies, which had been used to calculate the energy of coherent interphase boundaries in substitutional alloys, was extended to a ternary substitutional interstitial system to study the chemical interfacial energy between a f.c.c.
Given three integers (plane coefficients) a,b, and c with 0⩽a⩽b⩽c, one can seek the value of ω beyond which the discrete plane P a,b,c,μ,ω) is always connected.
These structural results facilitate the deeper understanding of the discrete plane structure.
Further, we draw on the gradient-descent principle from optimization theory, and we adapt it to operate on the discrete plane of the network topology so that the jamming device location can be estimated.
We denote by ℤ the set of relative integers, and by E the discrete plane ℤ2.
