We introduce a new infinite family of enhancements the biquandle homset invariant called arrow weights. These invariants assign weights in an abelian group to intersections arrows Gauss diagram representing classical or virtual knot depending on colors associated arrows. provide examples show that are nontrivial and proper, i.e. not determined by cardinality.

The notion of arrow by Hughes is an axiomatization of the algebraic structure possessed by structured computations in general. We claim that an arrow also serves as a basic component calculus for composing state-based systems as components—in fact, it is a categorified version of arrow that does so. In this paper, following the second author’s previous work with Heunen, Jacobs and Sokolova, we ...

Some researchers believe that the psychological or consciousness arrow of time is a consequence of the thermodynamic arrow. Some don’t. As for many issues in this area, the disagreement revolves about fundamental and undebatable assumptions. As a contribution to this standoff I consider the extent to which a computer—presumably governed by nothing more than the thermodynamic arrow—can be said t...

A: Patient with little effort. Top: Volume Controlled Ventilation: airway pressure in cmH2O yellow, constant flow L/min pink. Middle: Pressure controlled ventilation: decelerating Bottom: Esophageal cmH2O. B: high convex negative deflection during trigger and first half of inspiration (blue arrow). the (yellow arrow) slight (green arrow), concave (orange Convex esophageal (grey

Goguen categories were introduced as a suitable categorical description of L-fuzzy relations, i.e., of relations taking values from an arbitrary complete Brouwerian lattice L instead of the unit interval [0, 1] of the real numbers. In this paper we want to study the algebraic structures derived from Goguen categories by replacing its second-order axiom by some weaker versions.