In this note, we propose the modular height of an abelian variety defined over a field of finite type over Q. Moreover, we prove its finiteness property.

In this paper, we put forth five observations regarding the implementation of feature concern using contemporary modularity mechanisms. Based on these observations, we propose a concern-centric approach for the assessment of feature modularity that uses syntactic and semantic reduction functions that separate the feature concern from variants containing it. We propose how the modularity of sepa...

For a prime number p ≥ 5, we consider three classical cusp eigenforms

Arbitrarily many pairwise inequivalent modular categories can share the same data. We exhibit a family of examples that are module over twisted Drinfeld doubles finite groups, and thus in particular integral categories.

Let Jt be the class of binary matroids without a Fano plane as a submatroid. We show that every supersolvable matroid in JÍ is graphic, corresponding to a chordal graph. Then we characterize the case that the modular join of two matroids is supersolvable. This is used to study modular flats and modular joins of binary supersolvable matroids. We decompose supersolvable matroids in JH as modular ...

We investigate the effect of modular architecture in an artificial neural network for a reinforcement learning problem. Using the supervised backpropagation algorithm to solve a two-task problem, the network performance can be increased by using networks with modular structures. However, using a modular architecture to solve a two-task reinforcement learning problem will not increase the perfor...