We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive compact new results for small neutrino and charged lepton mixings θ 13 and θ e 13. We find a generic relation θ12 + 1 √ 2 θ e 12 cos(δ−π) ≈ θ 12, which relates...

We study three quantities that can each be viewed as the time needed for a finite irreducible Markov chain to “forget” where it started. One of these is the mixing time, the minimum mean length of a stopping rule that yields the stationary distribution from the worst starting state. A second is the forget time, the minimum mean length of any stopping rule that yields the same distribution from ...

Phasepy is a scientifically defined open-source package in python for computational thermodynamics. indeed calculates the interfacial properties and fluid phases equilibrium using an equation of state. In addition, enables scientists to optimize relevant parameters multicomponent vapor-liquid, liquid-liquid, or vapor-liquid-liquid mixtures. The can model continuous approach (combining cubic sta...

In this paper, the dynamics of elementary cellular automaton (ECA) rule 73 is investigated under the framework of the bi-infinite symbolic sequence space. This paper provides a rigorous mathematical analysis for the evolution of symbol sequences in some subsystems of rule 73. ECA rule 73, a member of Wolfram’s class III and Chua’s complex Bernoulli-shift rules, defines many more subsystems with...

Considering light transport in disordered media, the medium is often treated as an effective requiring accurate evaluation of refractive index. Because its simplicity, Maxwell-Garnett (MG) mixing rule widely used, although restriction to particles much smaller than wavelength rarely satisfied. Using 3D finite-difference time-domain simulations, we show that MG theory indeed fails for large part...

This article describes a simple probabilistic diagnostic system for a fan-powered mixing box. Several types of electrical and damper failures are diagnosed. Empirical data is available for modeling the normal operation of the mixing box, but no empirical data is available for failure states and models of failure states must be constructed from expert knowledge. The distribution over operational...

We identify a ‘‘ selection rule’’ for N resonances in the presence of QCD mixing effects. We quantify these mixing effects from existing data and predict amplitudes for exciting 20 representations in SU(6), which are forbidden in strict diquark models. By classifying Particle-Data-Group (PDG) states at N 2, we show that N ! K , K , K , K , and J= ! pN are ideal probes of baryon dynamics and for...