Sentence examples for group of equations from inspiring English sources

The first group of equations expresses tree form as a single continuous function (Newnham 1988, 1992; Kozak 1988, 2004).

The second group of equations (segmented taper equations) uses different models for various parts of the stem and joins these models in such a way that their first derivatives are equal at the point of intersection (Max and Burkhart 1976; Clark et al. 1991).

The orbits of the one-parameter group action are the maximal integral curves of the vector field V. Definition 1: A symmetry group of Equation 3.1 is a one-parameter group of transformations G, acting on X × U, such that if u = f(x) is an arbitrary solution of (3.1) and g ε ∈ G then g ε ·f(x) is also a solution of (3.1).

A new procedure making use of grouping of equations according to the set of trays is proposed.

First, the DCT equation is split into a few groups of equations by using some mathematical techniques, and index tables are constructed to facilitate efficient data permutations.

The more numerate were asked to rate 60 formulae on a scale from -5 (ugly) to +5 (beautiful) in a survey, allowing the creation of four groups of equations with equal numbers of low, medium and high-rated formulae.

And the rules (equations, or groups of equations) for determining scores are updated often.

Special groups of equations define capital accumulation relations.

The functional forms of the main groups of equations of the ICGE core are presented in this Appendix together with the definition of the main groups of variables, parameters and coefficients.

FSSIM-MP consists of components (i.e. groups of equations) that capture the agricultural activities (e.g., arable, livestock, perennials) and components for inclusion of alternative policies, calibration procedures (Positive Mathematical Programming (PMP)), risk and trend analysis (Table  1).

Equations (21)–(22) is presented as a group of nonlinear equations.