Right-relative convexity of subgroups of right-orderable groups

1995 ◽  
Vol 57 (6) ◽  
pp. 649-650
Author(s):  
A. V. Zenkov
Keyword(s):  
Relative Convexity

Compaction-related deformation in Cambrian olenelloid trilobites and its implications for fossil morphometry

1999 ◽  
Vol 73 (2) ◽  
pp. 355-371 ◽  
Author(s):  
Mark Webster ◽  
Nigel C. Hughes
Keyword(s):  
Lower Cambrian ◽  
Shape Change ◽  
Anterior Lobe ◽  
Interspecific Differences ◽  
Fracture Patterns ◽  
Morphometric Analyses ◽  
Ontogenetic Trajectories ◽  
Metric Distances ◽  
Relative Convexity ◽  
Shape Changes

Morphometric analyses of silicified and nonsilicified (preserved in shale) specimens of the olenelloid trilobites Olenellus (Olenellus) gilberti Meek (in White, 1874) and Nephrolenellus geniculatus Palmer, 1998, from the Lower Cambrian C-Shale Member of the Pioche Formation show that even well-preserved specimens in shales have undergone significant changes in lateral as well as vertical dimensions as a result of compaction. Analyses of cephalic landmarks show that in both species compaction causes posteriordirected collapse of the anterior lobe of the glabella, adaxial deformation of the ocular lobes, and abaxial and anterior splaying of genal regions. These shape changes are explicable in terms of observed exoskeletal fracture patterns. Landmarks show an increase in scatter around their ontogenetic trajectories that is generally proportional to the degree of lateral shift each landmark has undergone. Interspecific differences in compactional response may depend on the relative convexity of the cephalon. Olenellus (Olenellus) gilberti is a low-convexity species and shows marked lateral shape change, particularly in the genal region. Nephrolenellus geniculatus is more convex and shows less severe lateral shape change. Landmarks of both species exhibit an average trebling of the degree of scatter around their average ontogenetic trajectories in compacted samples. Because even well-preserved specimens in shales differ in shape from their precompactional appearance, results of morphometric studies utilizing metric distances between landmarks in trilobites where compaction can be detected must be interpreted with caution.

scholarly journals Certain unified integral inequalities in connection with quantum fractional calculus

Filomat ◽  
2019 ◽  
Vol 33 (19) ◽  
pp. 6297-6304
Author(s):  
Latifa Riahi ◽  
Muhammad Awan ◽  
Muhammad Noor ◽  
Khalida Noor
Keyword(s):  
Fractional Calculus ◽  
Integral Inequalities ◽  
Convexity Property ◽  
Relative Convexity

Some unified integral inequalities involving quantum fractional calculus are obtained via the functions having classical and relative convexity property

Relative convexity of subgroups of finite rank

1989 ◽  
Vol 46 (4) ◽  
pp. 776-778
Author(s):  
N. Ya. Medvedev
Keyword(s):  
Finite Rank ◽  
Relative Convexity

scholarly journals ITERATED FAILURE RATE MONOTONICITY AND ORDERING RELATIONS WITHIN GAMMA AND WEIBULL DISTRIBUTIONS

2018 ◽  
Vol 33 (1) ◽  
pp. 64-80 ◽  
Author(s):  
Idir Arab ◽  
Paulo Eduardo Oliveira
Keyword(s):  
Explicit Expression ◽  
Failure Rate ◽  
Random Variables ◽  
Stochastic Ordering ◽  
Higher Order ◽  
Distribution Functions ◽  
Weibull Distributions ◽  
Stochastic Orderings ◽  
Definition Of ◽  
Relative Convexity

Stochastic ordering of random variables may be defined by the relative convexity of the tail functions. This has been extended to higher order stochastic orderings, by iteratively reassigning tail-weights. The actual verification of stochastic orderings is not simple, as this depends on inverting distribution functions for which there may be no explicit expression. The iterative definition of distributions, of course, contributes to make that verification even harder. We have a look at the stochastic ordering, introducing a method that allows for explicit usage, applying it to the Gamma and Weibull distributions, giving a complete description of the order of relations within each of these families.

scholarly journals Representation of Boolean hypolattices

1981 ◽  
Vol 24 (3) ◽  
pp. 389-404 ◽  
Author(s):  
John Boris Miller
Keyword(s):  
Representation Theorem ◽  
Boolean Lattice ◽  
Principal Result ◽  
Direct Sum ◽  
Boolean Lattices ◽  
Stone Representation ◽  
Relative Convexity ◽  
Small Product

The principal result is a representation theorem for relatively-distributive, relatively complemented hypolattices with zero, generalizing the Stone representation theorem for a Boolean lattice. It uses the small product of a family of Boolean lattices which are maximal sublattices of the hypolattice. The paper also characterizes the maximal sublattices when the hypolattice is coherent; and it gives several examples of hypolattices, including hypolattices of subgroups and of ideals by direct sum, and examples from relative convexity, relative closure, and cofinality.

scholarly journals Relative convexity and total concavity

1967 ◽  
Vol 11 (4) ◽  
pp. 616-627 ◽  
Author(s):  
Bruce Peterson
Keyword(s):  
Relative Convexity

scholarly journals Hardy-Littlewood-Polya theorem of majorization in the framework of generalized convexity

2017 ◽  
Vol 33 (1) ◽  
pp. 87-95
Author(s):  
CONSTANTIN P. NICULESCU ◽  
◽  
IONEL ROVENTA ◽  
◽  
Keyword(s):  
Generalized Convexity ◽  
Relative Convexity

Based on a new concept of generalized relative convexity, a large extension of Hardy-Littlewood-Polya theorem ´ of majorization is obtained. Several applications escaping the classical framework of convexity are included.

scholarly journals Relative convexity and its applications

2014 ◽  
Vol 89 (5) ◽  
pp. 1389-1400 ◽  
Author(s):  
Constantin P. Niculescu ◽  
Ionel Rovenţa
Keyword(s):  
Relative Convexity
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