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At deviations of the order of 10"*-^ 10'^ this number can increase significantly. Especially large numbers of parameters occur when searching medium structure and its distribution within a volume. 2 Identification problems Alongside with synthesis problems, there are well-known identification problems concerning definition of shapes (in some cases, also structures) of bodies that disturb the uniformity of media, as well as problems of diagnostics (defectoscopy). In diagnostics problems, shapes and structure of defects (especially cracks) are determined by means of analyzing the distribution of eddy currents in conducting bodies.
At magnetic field synthesis, desire to provide maximum field density within a certain area conflicts with attempts to reduce the current and power consumption in the circuit that produces this field. Condition to provide maximum rate of pulse rise on the output of a circuit usually contradicts the desire to have pulses with as flat a top as possible. At synthesis of electric filters several inconsistent requirements can be produced, such as minimal deviation of its gain-frequency characteristic K(co) from a specified one, minimal number of elements, minimal dissipation power, minimal delay at signal transmission, etc.
6) x(ro) = Xo, where x(t) is the vector of state variables, p e n is the vector of device parameters subject to definition, y(t) is the vector of optimized characteristics of the circuit which can be calculated by state variables, and f and g are generally nonlinear vector functions. Numerical or analytical solutions of the system of Eq. g. maximal voltages between some nodes of the circuit in the whole interval [^o>^]' ^^^ power of electromagnetic radiation created by the circuit in the surrounding space, sections of the conductors connecting the circuit elements, or circuit losses.