We prove that all semisimple varieties of FLew-algebras are discriminator varieties. A characterisation of discriminator and EDPC varieties of FLew-algebras follows. It matches exactly a natural classification of logics over FLew proposed by H. Ono.

The discriminator of an integer sequence s = (s(i))i≥0, introduced by Arnold, Benkoski, and McCabe in 1985, is the function Ds(n) that sends n to the least integer m such that the numbers s(0), s(1), . . . , s(n−1) are pairwise incongruent modulo m. In this note we present a class of exponential sequences that have the special property that their discriminators are shift-invariant, i.e., that t...

Various binaural models have been proposed for the application of hearing assistance system as well as humanoid robot, and a frequency domain binaural model(FDBM) is the one. Like other binaural models, the original FDBM can separate and segregate a signal from the specific direction based on interaural information, but it works only in the frontal semisphere due to front-back confusion. In ord...

We propose a novel, projection based way to incorporate the conditional information into the discriminator of GANs that respects the role of the conditional information in the underlining probabilistic model. This approach is in contrast with most frameworks of conditional GANs used in application today, which use the conditional information by concatenating the (embedded) conditional vector to...

We introduce a method to stabilize Generative Adversarial Networks (GANs) by defining the generator objective with respect to an unrolled optimization of the discriminator. This allows training to be adjusted between using the optimal discriminator in the generator’s objective, which is ideal but infeasible in practice, and using the current value of the discriminator, which is often unstable a...

An attempt is being made to construct an FM broadcast receiver utilizing relatively few tubes but incorporating the principles of multipath interference reduction. The parts to be constructed are the i-f amplifier, a two-tube limiter, a discriminator and an audio amplifier stage. A bandwidth of 2 Mc for the limiter and discriminator was chosen after a study of multipath interference in cities s...

For each clone C on a set A there is an associated equivalence relation, called C-equivalence, on the set of all operations on A, which relates two operations iff each one is a substitution instance of the other using operations from C. In this paper we prove that if C is a discriminator clone on a finite set, then there are only finitely many C-equivalence classes. Moreover, we show that the s...

In this paper we introduce the notion of minimum-weight edge-discriminators in hypergraphs, and study their various properties. For a hypergraph H = (V,E ), a function λ : V → Z+∪{0} is said to be an edge-discriminator onH if∑v∈Ei λ(v) > 0, for all hyperedges Ei ∈ E , and ∑ v∈Ei λ(v) 6= ∑ v∈Ej λ(v), for every two distinct hyperedges Ei, Ej ∈ E . An optimal edge-discriminator on H, to be denoted...