It is always constrained by the straitjacket of mathematical consistency and compatibility with established laws.
Also, the property derivatives are validated and verified for thermodynamic and mathematical consistency.
Thus, the mathematical consistency of the inverse problem formulation has been guaranteed.
For sure, there's lots of mathematical consistency and compatibility with established laws, but should a theory that makes no predictions be regarded as scientific?
Like explorers seeking the South Pole, composers moved across barren spaces toward abstract goals: harmonic difficulty, rhythmical complexity, textural density, mathematical consistency..
Minkowski's geometric ideas provided a powerful tool for checking the mathematical consistency of special relativity and for calculating its experimental consequences.
The video below shows off the logo's "mathematical consistency", showing of the mirrored angles and repeated widths of various elements.
Like explorers seeking the South Pole, composers moved across barren spaces toward abstract goals: harmonic difficulty, rhythmical complexity, textural density, mathematical consistency... His music asks us to listen, note by note.
"For the first 25 years, the thinking has been that superstring theory is so difficult to see experimentally that you have to figure it out by its own mathematical consistency and beauty," Dr. Lykken said.
But the mathematical consistency of his proposals and their success in describing conditions that actually exist in the present-day universe have won him increasing numbers of believers, including some of the world's leading physicists.
When such a series of distances and angles returns to its point of beginning or begins and ends at stations of superior (more accurate) control, it can be checked and the small errors of measurement adjusted for mathematical consistency.
