We develop efficient methods to compute this measure, exactly or approximately, under all circumstances.
In Fig. 7, however, the numbers are not exactly but approximately 40.
The central notion is a parameterization of space by distances from the material features either exactly or approximately.
A constitutionally similar object is exactly or approximately similar to a part of itself, in its constitution.
In addition to proposing various algorithms that solve the problem exactly and approximately, we also develop an on-line, self-adjusting scheme based on the solution algorithms.
The analysis results show that the DFLM field component may have cumulative growth effect once its phase velocity exactly or approximately equals that of a SH mode.
The problem of solving either exactly or approximately a linear system of algebraic equations is very important and it appears in many engineering and scientific applications.
The second assumption is that the scanning resolution is known (exactly or approximately) for each scanned image, which is virtually always true in case of professional scans.
Accordingly, the natural frequency is determined both exactly and approximately from the numerical calculation of the natural period and using the multiple scales method on the approximate equation, respectively.
The identification of occurrences of design motifs in large systems consists of identifying classes whose structure and organization match exactly or approximately the structure and organization of classes as suggested by the motif.
Being similar to handling the original signal (vector form) in the compressed sensing field, matrix remodeling refers to an original compressible or sparse representation matrix which can be exactly or approximately reconstructed with a proper model.
