d da db dc dd de df dg dh di dj dk dl dm dn do dp dr ds dt du dw dx dy dz

Перевод: degeneracy

[существительное]
вырождение; дегенеративность ; дегенерация ; упадок

Тезаурус:

1. Added to which Lombroso - more famous for his theory about the physiognomic stigmata of criminality - interpreted his observations on genius in a similarly negative fashion, viewing social deviance and the propensity to creativity as alternative expressions of biological degeneracy.
2. An alternative expression is evidently where the first factor is doubly degenerate; the remainder are simply degenerate, giving as before a total degeneracy n.
3. A useful collection of theorems and proofs is presented at the end of the chapter: among these is what is thought to be a novel proof of Sylvester's law of degeneracy.
4. Hence we may write (8) as so that, in this case (two equal roots and double degeneracy of the characteristic matrix), the form of (8) is unaltered.
5. If only one vector x exists for which Ax = 0, A is said to be simply degenerate, or to have simple degeneracy; if more than one such vector x exists, A has multiple degeneracy.
6. Degeneracy can cause cycling even in TRPs but the possibility of this happening in practice is remote and can be ignored.
7. Suppose, however, that A has degeneracy s.
8. Complementary to the definition of degeneracy is that of rank: for a square matrix, the sum of the degeneracy and rank is the order of the matrix; thus The rank is in fact the order of the largest nonvanishing minor of , so that rank 0 implies a null matrix.
9. But there were powerful pressure groups at work such as the militarist National Service League who were not slow to advance their cause by arguing that compulsory military training would act as a tonic against "the physical and moral degeneracy attendant upon industrial civilisation".
10. Note that although these tableaux are different, the degeneracy of P1/T3 means that the basic solution has not changed.
11. Equations (1.16.3) and (1.16.4) show that the characteristic equation may be written in the alternative forms It follows that the Cayley-Hamilton theorem can be written in the alternative form, in which for consistency each factor has been multiplied by -1, It will be observed that, with eigenvalues all different, each of these matrices has degeneracy 1, the product of all n factors having degeneracy n: i.e. it is null; this is an illustration of Sylvester's law of degeneracy (Theorem XII of 1.22).