Sentence examples for there exists a class from inspiring English sources
It is natural to ask whether or not there exists a class of equations whose existence and uniqueness of global solutions do not depend on the concrete time scales.
For each m-manifold M, there exists a class of homeomorphisms U ⊂ M → ℝ m called charts.
Toeplitz summability theorems proved that there exists a class of matrices including the Cesaro means with the same regularization property.
References [10, 13] presented that a class C is existing learnable concepts, and there exists a class of estimated models h such that for all (n ge 1), an actual concept (c in C), for all distributions D on (X), and (0 < gamma,;_ delta le 1), given parameters (delta,_ n,_ gamma), and the size s of the target concept c.
There exists a class of solids called network solids in which the bonding is essentially due to a network of covalent bonds that extends throughout the solid.
Since the time of Galileo it has been realized that there exists a class of so-called inertial frames of reference i.e., in a state of uniform motion with respect to one another such that one cannot, by purely mechanical experiments, distinguish one from the other.
Unless (z_{i}=0), we have (D^{q}V_{n}leq0), thus there exists a class-K function (gamma_{3}) such that (D^{q}V_{n}leq-gamma_{3}( Vert eta Vert )).
In addition, we assume that (4.2) is input-to-state stable at with viewed as the input, that is, there exist a class- function and a class- function such that (4.8).
Furthermore, since (3.2) is input-to-state stable with viewed as the input, it follows that is finite, and hence, there exist a class- function and a class- function such that (3.7).
It has been noted before that there exist a class of short-lived transmembrane proteins that are degraded by the proteasome [ 29], but there is no reason to think that transmembrane proteins are unstable in general.
Among the Ngadju-Dayak of Borneo there exists a special class of shamans, the basirs (literally, "incapable of procreation").
