Established deterministic design methods have been validated extensively.

For these purposes, deterministic design practices can be used as a benchmark.

Design optimization can be classified as two categories: deterministic design optimization and stochastic design optimization.

x = {[x.sub.1], [x.sub.2],...,[x.sub.Nd]} denotes the vector of deterministic design variables.

where x is a vector of deterministic design variables is a vector of random variables, r is a vector of considered probability functions and y, are statistical parameters of random variables.

where x is the vector of deterministic design variables and A ([omega]) is a vector of random parameters of the investigated structure (e.g.

After performing a

deterministic design calculation, a sensitivity analysis it typically required to deal with uncertainty.

Subject to the mentioned constraints, the

deterministic design methodology has been applied upon selecting the number of antennas as [N.sub.a] = 24.

In particular, we present a fast

deterministic design procedure such to fulfill fixed power pattern (and directivity) requirements by using only the feeds' size as degree of freedom of the problem.

where [x.sub.i] [member of] [R.sup.1], [t.sub.i] [member of] [0,1], {([x.sub.i], [t.sub.i]), 1 [less than or equal to] i [less than or equal to] n} is

deterministic design point sequence, [beta] is an unknown regression parameter, g(*) is an unknown Borel function; The unobserved process {[e.sub.i], 1 [less than or equal to] i [less than or equal to] n} is a stationary p-mixing sequence and satisfies E[e.sub.i] = 0, i = 1, 2, ...,n.

Instead of using the known, simple algorithm to combine these two NFAs into a new NFA, accepting the union language, he turned to a direct, almost

deterministic design. Therefore this example fits also the third pattern, of shifting from nondeterminism to determinism.

where [x.sub.i] [member of] [R.sup.1], [t.sub.i] [member of] [0,1], {([x.sub.i],[t.sub.i]), 1 [less than or equal to] i [less than or equal to] n} is a

deterministic design sequence, [beta] is an unknown regression parameter, g(*) is an unknown Borel function, the nobserved process {[e.sub.i], 1 [less than or equal to] i [less than or equal to] n} is a stationary [rho]-mixing sequence and satisfies E[e.sub.i] = 0, i = 1, 2, ..., n.