This paper introduces an expressive class of indexed quotient-inductive types, called QWI within the framework constructive type theory. They are initial algebras for families equational theories with possibly infinitary operators and equations. We prove that types can be derived from quotient inductive in theory toposes natural number object universes, provided those universes satisfy Weakly I...

This paper presents the development and validation of a novel multi-sensory wearable system (Personal Automatic Cigarette Tracker v2 or PACT2.0) for monitoring of cigarette smoking in free-living conditions. The contributions of the PACT2.0 system are: (1) the implementation of a complete sensor suite for monitoring of all major behavioral manifestations of cigarette smoking (lighting events, h...

A novel technique for transferring data to biomedical implantable devices through the inductive power transfer link is presented. The new modulation technique presented in this paper is based on changing the duty cycle of the switching pulse of the class E power amplifier which drives the external coil. Hence, we call it duty cycle shift keying (DCSK). Inductive link efficiency and voltage gain...

he main objective of the advertising discourse is to encourage its viewer or reader to buy goods. this dialogue contains several inductive functions, including inductive functions of action and tension. the function of the induced action is an action-induced origin, whereas the function of the inductive tension is induced by the action originated. thus, tension-induced functions can be claimed ...

We present a principle for introducing new types in type theory which generalises strictly positive indexed inductive data types. In this new principle a set A is defined inductively simultaneously with an A-indexed set B, which is also defined inductively. Compared to indexed inductive definitions, the novelty is that the index set A is generated inductively simultaneously with B. In other wor...

Higher inductive types (HITs) in Homotopy Type Theory (HoTT) allow the definition of datatypes which have constructors for equalities over the defined type. HITs generalise quotient types, and allow to define types which are not sets in the sense of HoTT (i.e. do not satisfy uniqueness of equality proofs) such as spheres, suspensions and the torus. However, there are also interesting uses of HI...