from Wiktionary, Creative Commons Attribution/Share-Alike License
- adj. Alternative form of nondegenerate.
from The Century Dictionary and Cyclopedia
- Not degenerate; in geometry, not consisting of an aggregation of forms of a lower order or class.
Sorry, no etymologies found.
This certainly does seem like it would result in a hack, so better punted back to wait for a non-degenerate case.
This distinction in this set turn on whether the particular instance of the sign relation is “degenerate” or “non-degenerate.”
Either an obtaining of the sign relation is non-degenerate, in which case it falls into one class; or it is degenerate in various possible ways (depending on which of the conjuncts are omitted and which retained), in which cases it falls into various other classes.
If we assume that the measurement process conserves Q, and the representation of Q is non-degenerate in H (M) then the SchrÃ¶dinger equation entails that at time t², when the first stage of the measurement terminates, the state of S+M is
The problem with all these arts in their non-degenerate form is that there was a coexistence of scientific and supersticious approaches.
This feature is useful for example to visualize the circular movement of atoms along degenerate normal modes (presently the different frequencies of non-degenerate modes are not taken into account).
The price changes can also lead some investors to leave the markets and give rise to non-degenerate forms of participation turnover.
I also have a strong preference for the O’Neill way of calling products w.r.t. a non-definite non-degenerate symmetric bilinear form a “scalar product”, to distinguish it from the “inner product” which I feel must be positive definite.