Sentence examples for trivial identity from inspiring English sources
Then either 'A' and 'C' have the same meaning, in which case the analysis expresses a trivial identity; or else they do not, in which case the analysis is incorrect.
It is clear that H is a K-homotopy between (1_{[0, l]_{mathbf{Z}}}) and the constant map (C_{{0}}), which is the trivial identity map on the singleton ({0}).
It appears to be learning a trivial identity function; but by using some constraints on the learning process, such as limiting the number of neurons activated (sparsity constraint), it discloses some interesting structures about the data [11, 35, 36].
Obviously, Eq. 4 [as well as general Eqs. 1 and 3] is reduced to trivial identity at φ = 0, i.e., the growth of straight NWs is not influenced by the substrate rotation.
On the other hand, unless implementing the trivial identity gate such that the total gate rotation angle (Thetaequiv sum_{l = 1}^{mathcal {M}}theta_{l}=0), strict amplitude modulation is insufficient for filtering amplitude noise.6 For nontrivial gates, amplitude noise filters generally require control over the rotation axis, and for this purpose we employ PMFs.
The idea of such a construction came from the paper [28] of the first author solving a problem formulated by Adyan [33] by constructing a finitely presented group with undecidable word problem and satisfying a non-trivial identity.
The slice invariance follows from a highly non-trivial combinatorial identity which equates two known ways of computing the χy genus of the Hilbert scheme of points on C2.
Far from a trivial matter, Deep Identity director Sivakumar Balasubramanian told me that some 60percentt of company fraud cases are based on erroneous entitlements.
Third, the case involving 2amf (discussed above) raised a concern that reciprocal ETA annotations often involved trivial high sequence identity matches.
No respectable ontology should embrace objects for which we have no non-trivial criterion of identity.
The point of this rhetorical question is that there is no serious issue here because we have no non-trivial criterion of identity for non-actual possible objects.
