Global optimum, definition

Give definitions for the following maximum, minimum, optimum, unimodal, multimodal, local optimum, global optimum, continuous, discrete, constraint, equality constraint, inequality constraint, lower bound, upper bound, natural constraint, artificial constraint, degree of freedom, feasible region, nonfeasible region, factor tolerance. 

Interpretive methods will generally arrive at the global optimum after a limited number of experiments. However, (by definition) the recognition of the individual solutes is required in each experimental chromatogram. Also, the computational requirements are relatively high, especially if the simultaneous optimization of several parameters is considered. For example, (linear) ternary gradients (one parameter) will be much easier to optimize than quaternary gradients (two parameters). 

Give definitions for the following terms unimodal multimodal replication of experiments factor level coding of factors local and global optimum randomization screening designs factor effects. 

This demonstration of the minimum information-distance character of the free subsystem densities, with respect to the molecular/Hirshfeld reference, implies that the separated subsystem densities can be regarded as representing the mutually open equilibrium subsystems of the promolecule , thus justifying the definition of the global FF for the promolecule ,/°(r) [equation (141)], as the partial derivative of p°(r) with respect to N°. The differentiation of these optimum free subsystem densities for the frozen Hirshfeld reference gives ... 

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