Decisions based on deviation functions

2019 ◽  
Author(s):  
Andrea Stupnanova
Keyword(s):  
Deviation Functions

scholarly journals New Classes of the Moderate Deviation Functions

2021 ◽  
Author(s):  
Jana Špirková ◽  
Humberto Bustince ◽  
Javier Fernandez ◽  
Mikel Sesma-Sara
Keyword(s):  
Moderate Deviation ◽  
Deviation Functions

scholarly journals Transport Coefficients from Large Deviation Functions

Entropy ◽  
2017 ◽  
Vol 19 (11) ◽  
pp. 571 ◽  
Author(s):  
Chloe Gao ◽  
David Limmer
Keyword(s):  
Large Deviation ◽  
Transport Coefficients ◽  
Deviation Functions ◽  
Large Deviation Functions

scholarly journals k-Jet field approximations to geodesic deviation equations

2018 ◽  
Vol 15 (12) ◽  
pp. 1850199
Author(s):  
Ricardo Gallego Torromé ◽  
Jonathan Gratus
Keyword(s):  
Differential Equations ◽  
Tangent Bundle ◽  
Jacobi Equation ◽  
Smooth Manifold ◽  
Specific Class ◽  
Coordinate Transformations ◽  
Geodesic Deviation ◽  
Deviation Equation ◽  
Geodesic Deviation Equation ◽  
Deviation Functions

Let [Formula: see text] be a smooth manifold and [Formula: see text] a semi-spray defined on a sub-bundle [Formula: see text] of the tangent bundle [Formula: see text]. In this work, it is proved that the only non-trivial [Formula: see text]-jet approximation to the exact geodesic deviation equation of [Formula: see text], linear on the deviation functions and invariant under an specific class of local coordinate transformations, is the Jacobi equation. However, if the linearity property on the dependence in the deviation functions is not imposed, then there are differential equations whose solutions admit [Formula: see text]-jet approximations and are invariant under arbitrary coordinate transformations. As an example of higher-order geodesic deviation equations, we study the first- and second-order geodesic deviation equations for a Finsler spray.

Flowrate formulation and displacement analyses for deviation function-based gerotor pumps

2010 ◽  
Vol 225 (2) ◽  
pp. 480-487 ◽  
Author(s):  
D C H Yang ◽  
J Yan ◽  
S-H Tong
Keyword(s):  
Case Studies ◽  
Deviation Function ◽  
Dimensionless Parameters ◽  
Displacement Analysis ◽  
Gerotor Pumps ◽  
Deviation Functions ◽  
The Given ◽  
Circular Pitch

This article presents a research on the flowrate formulation and displacement analysis of gerotor pumps. The flowrate formula is based on the deviation function and is applicable to gerotors with any pitch curves and generating curves that are either circular or non-circular. For gerotors with the circular pitch curves and generating curves, the derivation of the formula proposed here is much simpler than the current available one. Two dimensionless parameters, the lobe non-circularity and the pitch non-circularity, are then introduced so that gerotor performance can be analysed systematically. As examples, the specific flowrate and displacement curves with the combinations of sinusoidal and polynomial pitch curves and deviation functions are illustrated. Based on these case studies, it is found that in general the specific displacement increases according to the lobe non-circularity, whereas the pitch non-circularity has only the minimum effects on the performance of pumping displacement. The results of the given case studies also show that the pumps with less lobe numbers are capable to have relatively larger specific displacements.

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