In this paper we define a new linearity measure which can be applied to open planar curve segments. We have considered the sum of the distances between the curve end points and the curve centroid. We have shown that this sum is bounded from above by the length of the curve segment considered. In addition, we have proven that this sum equals the length of the curve segment only in the case of st...

There are still no interacting models of the Wightman axioms, suggesting that the axioms are too tightly drawn. Here a weakening of linearity for quantum fields is proposed, with the algebra still linear but with the quantum fields no longer required to be tempered distributions, allowing explicit interacting quantum field models. In Local Quantum Physics terms, the algebraic models constructed...

We first recall the definition of the linearity test, and give a brief proof of its soundness for the case of classical players, in Section 1. In Section 2 we give a “beginner’s introduction” to the quantum formalism used to describe entangled players. In Section 3 we state the “entangledprover linearity test”, taking the opportunity to explain some of the challenges that arise in the analysis ...

Inspired by the classical theory of modules over a monoid, we give a first account of the natural notion of module over a monad, which encompasses the notion of algebra. The associated notion of morphism of modules (”linear” natural transformations) captures important formal properties about substitution. In this paper, we present basic constructions of modules and we show examples concerning i...

The goal of this research is to improve the linearity of integrated oscillator based on switched-capacitor band-pass filter with a low Q-factor in order to achieve a feasible integration. With the minimum addition control digital control circuit, high linearity can be achieved by suppressing 3rd harmonic which requires high Q of filter in traditional way. Description. The aim of this research i...

Despite its extreme significance, dynamic linearity measurement for high-g accelerometers has not been discussed experimentally in previous research. In this study, we developed a novel method using a dual-warhead Hopkinson bar to measure the dynamic linearity of a high-g acceleration sensor with a laser interference impact experiment. First, we theoretically determined that dynamic linearity i...

Introduction: One of the most valuable goals of phantoms, replacing with human goals in the field of research and quality control of diagnostic X-ray systems. There are various algorithms and methods for obtaining Homogeneity and CT number linearity for CT scan device. One of the most famous of these methods, the method is to use a uniform and homogeneous environment to comput...

Linearity and contiguity are two parameters devoted to graph encoding. Linearity is a generalisation of contiguity in the sense that every encoding achieving contiguity k induces an encoding achieving linearity k, both encoding having size Θ(k.n), where n is the number of vertices of G. In this paper, we prove that linearity is a strictly more powerful encoding than contiguity, i.e. there exist...

In this thesis the linearity characteristics of passive mixers for wide band homodyne receivers are studied. The circuits are simulated using Cadence Spectre with models from a 65 nm RF/Analogue CMOS process. Linearity dependence of common mode voltage, load impedance, switch network arrangement and local oscillator drive circuitry is studied and analysed. The thesis also covers methods for the...