In essence, MLAB is an interpreter for a high-level mathematical language with the ability to process re-runnable script files called do-files.
22.
The key to our method is provided by the detailed analysis of the relation between mathematical languages and mathematical structures which lies at the bottom of contemporary model theory.
23.
More recently, Borcherds has rendered perturbative renormalization, in particular the't Hooft-Veltman proof of perturbative renormalizability of gauge theory, into rigorous mathematical language.
24.
In mathematical language, if the incident wave is linearly polarized at an angle \ theta with respect to the optic axis, the incident state vector can be written
25.
Since the precise notion of " manifold " was not available to Hilbert, there is room for some debate about the formulation of the problem in contemporary mathematical language.
26.
It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.
27.
Einstein's general theory of relativity, which explains gravity as the warped geometry of space-time, is the mathematical language of cosmology, but is it really correct?
28.
Using programs or proofs of bounded lengths, it is possible to construct an analogue of the Berry expression in a formal mathematical language, as has been done by Gregory Chaitin.
29.
He believed that these men had hidden their knowledge in a complex code of symbolic and mathematical language that, when deciphered, would reveal an unknown knowledge of how nature works.
30.
Part of the reason was that Heisenberg's formulation was in an odd mathematical language, for the time, while Schr�dinger's formulation was based on familiar wave equations.
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