The phrase "a set of equality" is not commonly used in written English and may be unclear without context.
It could be used in discussions about mathematical concepts, philosophical ideas, or social justice topics where equality is being defined or categorized.
Example: "In our analysis, we will examine a set of equality that includes various measures of fairness and justice in society."
Alternatives: "a collection of equalities" or "a group of equalities".
This paper presents an observer-based controller for discrete-time nonlinear systems whose control inputs are subject to a set of equality and/or inequality constraints.
where C T x is the objective function, A x=b is a set of equality constraints and ∀i: x i ≥0is a set of bounds.
The ORPD problem aims to minimize an objective function, usually the transmission loss, by adjusting control variables while satisfying a set of equality and inequality constraints.
In this paper, a constrained regularized least square (RLS) state estimator is developed for deterministic discrete-time nonlinear dynamical systems subject to a set of equality and/or inequality constraints.
Treating k-2 and k4 as adjustable parameters leads to a set of equality constraints for rate constants and enzyme forms (See Additional file 1 for details).
In an abstract ideal situation, many estimation problems in science and engineering can be cast as estimating some decision variables δ given the known values of a set of other ones m (possibly, measurements) and a model expressed as a set of equality and inequality constraints (involving decision variables, measurements and some model parameters).
The EMMS scheme comprises of a set of equalities, constraints and a minimization energy equation, solved for a number of volume fraction's and slip velocity's values, using the optimization software General Algebraic Modeling System GAMSS).
In order to illustrate the proposed method, a set of new equality constraints to supplement a previously published "Base polytope" are derived.
A set of linear equality constraints that relate wavelet bases and coefficients with the underlying signal is introduced in the formulation.
In this way, the controlled system reference movement, optimal with respect to a pre-specified scalar convex cost function and a set of suitable equality and inequality constraints, is generated.
See, for example [2], for the general theory of unification and algorithms for computing a most general unifier for a set of term equalities.
