Sentence examples for expressed as an equality from inspiring English sources
The law of sines is expressed as an equality involving three sine functions while the law of cosines is an identification of the cosine with an algebraic expression formed from the lengths of sides opposite the corresponding angles.
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).
From a theoretical viewpoint, temporal specifications are expressed as equality or inequality constraints between delay parameters, while the qualitative specifications are expressed as an ordered pattern of the concentrations peaks of the components.
Often expressed as an interjection by others.
In this case the problem can be expressed as a constrained linear least squares problem with both equality and inequality constraints.
In that problem, at equilibrium, contact points between an elastic body and a rigid surface must satisfy the equilibrium equations in addition to a set of boundary conditions expressed as equalities (on the free boundary of the elastic body) together with inequalities involving displacement and tension along tangent and normal directions to the contact boundary of the body.
The time domain constraints are expressed using an equality between the moments of the closed loop system and those of a reference model.
Then, the composite indicator of gender equality, i.e. the GES, expressed as factor scores obtained through classical factor analysis and used in a regression framework may provide less biased results than expected.
The nonlinearities are expressed as convex combinations of sector and slope bounds so that equality constraints are converted into inequality constraints using convex properties of the nonlinear function.
