* 1983 Stephen Cole Kleene for three important papers which formed the basis for later developments in generalized recursion theory and descriptive set theory: Arithmetical predicates and function quantifiers, Transactions of the American Mathematical Society 79 ( 1955 ), pp. 312-340 ; On the forms of the predicates in the theory of constructive ordinals ( second paper ), American Journal of Mathematics 77 ( 1955 ), pp. 405-428 ; and Hierarchies of number-theoretic predicates, Bulletin of the American Mathematical Society 61 ( 1955 ), pp. 193-213.

Hierarchies have their own special vocabulary.

Hierarchies can be categorized based on the " maximum degree ", the highest degree present in the system as a whole.

Hierarchies and hierarchical thinking has been criticized by many people, including Susan McClary and one political philosophy which is vehemently opposed to hierarchical organization: anarchism is generally opposed to hierarchical organization in any form of human relations.

Hierarchies of organization above the bases were attempted.

Hierarchies were satirized in The Peter Principle ( 1969 ), a book that introduced hierarchiology and the saying that " in a hierarchy every employee tends to rise to his level of incompetence.

Bounding Volume Hierarchies ( BVHs ) are useful for numerous tasks — including efficient culling and speeding up collision detection between objects.

( 1986 ), " Hierarchies and Bureaucracies ", Journal of Law Economics and Organization, vol.

Hierarchies of Belonging: National Identity and Political Culture in Scotland and Quebec, Montreal: McGill-Queen's University Press, 250 p. ( ISBN 978-0-7735-3268-7 )

Pseudo-Dionysius ( The Celestial Hierarchy ) and Thomas Aquinas ( Summa Theologica ) drew on passages from the New Testament, specifically Ephesians 1: 21 and Colossians 1: 16, in an attempt to develop a schema of three Hierarchies, Spheres or Triads of angels, with each Hierarchy containing three Orders or Choirs.

* 1992 The Hierarchon: A Dictionary of Hierarchies, with Ernest H. Forman, ISBN 0-9620317-5-5, RWS

Highland Park High School was one of two suburban schools profiled, in the chapter titled Highland Park High School: Hierarchies, Ambition, and Stress.

Hierarchies still exist, authority is still Weber's rational, legal type, and the organization is still rule bound.

* Maciej Dunajski and Lionel J. Mason ( 2000 )" Hyper Kahler Hierarchies and their Twistor Theory "

" Doing Institutional Analysis: Digging Deeper than Markets and Hierarchies ," Handbook of New Institutional Economics, C. Ménard and M. Shirley, eds.

* Chandler, Alfred D., Jr. 1980, Managerial Hierarchies.

Within EU's Interreg IV C FRESH Project ( Forwarding Regional Environmental Sustainable Hierarchies )-project GPI time-series have been calculated to Päijät-Häme, Kainuu and South-Ostrobotnia ( Etelä-Pohjanmaa ) regions in 2009-2010.

* Cummins D. D., Dominance Hierarchies and the Evolution of Human Reasoning.

* The Hierarchon: A Dictionary of Hierarchies ( 1992 ), with Ernest H. Forman.

Around the same years ( 1936 ) Kolmogorov contributed to the field of ecology and generalized the Lotka – Volterra model of predator-prey systems.

A far reaching extension of the Gold ’ s approach is developed by Schmidhuber's theory of generalized Kolmogorov complexities, which are kinds of super-recursive algorithms.

In universal algebra, the isomorphism theorems can be generalized to the context of algebras and congruences.

Mandel was insistent that “ Far from representing a ' post-industrial society ', late capitalism thus constitutes generalized universal industrialization for the first time in history ”.

The example about free groups given above can be generalized to any type of algebra in the sense of a variety of algebras in universal algebra.

Gaston Deferre ’ s loi-cadre of the 23 June 1956 generalized universal suffrage throughout the territories d ’ outre-mer and based their assemblies on a common voting-roll.

The closure conditions for the various constructions allowed in building positive formulas are readily motivated ( and one can further justify the use of universal quantifiers bounded in sets to get < strong > generalized positive comprehension </ strong >): the justification of the existential quantifier seems to require that the topology be compact.

* The third is the most recent area of research, dealing with a concept of generalized / universal and synthetic mind as a possible or existing property of the Universe.

This universal property also makes G < sub > 0 </ sub >( R ) the ' universal receiver ' of generalized Euler characteristics.

The universal generalized Kac – Moody algebra with given symmetrized Cartan matrix is defined by generators and and and relations

A generalized Kac – Moody algebra is obtained from a universal one by changing the Cartan matrix, by the operations of killing something in the center, or taking a central extension, or adding outer derivations.

The universal long-distance functions include the parton distribution functions, fragmentation functions, multi-parton correlation functions, generalized parton distribution, generalized distribution amplitude and many kinds of form factors.

However peacemaking is a universal and age-old approach to conflict at all levels and among any and all parties, and its principles may be generalized and used in many different kinds of conflicts.

However, if one measures the observable, the wavefunction will instantaneously be an eigenstate ( or " generalized " eigenstate ) of that observable.

Many of the same entropy measures in classical information theory can also be generalized to the quantum case, such as Holevo entropy and the conditional quantum entropy.

The first generalized curvature χ < sub > 1 </ sub >( t ) is called curvature and measures the deviance of γ from being a straight line relative to the osculating plane.

The second generalized curvature χ < sub > 2 </ sub >( t ) is called torsion and measures the deviance of γ from being a plane curve.

An anharmonic oscillator ( in contrast to a simple harmonic oscillator ) is one in which the potential energy is not quadratic in the extension q ( the generalized position which measures the deviation of the system from equilibrium ).

It describes the feelings and practices involved in certain relationships organized around generalized reciprocity, the slow-acting accounting of an exchange calculated according to locally interpreted scales and measures.

As described below, they can be generalized to positive operator valued measures ( POVMs ).

for any open set U of M. Here H < sup > 0 </ sup > means simply the sections over U, and the sheaf cohomology H < sup > 1 </ sup >( 2πiZ |< sub > U </ sub >) is the singular cohomology of U. The connecting homomorphism is therefore a generalized winding number and measures the failure of U to be contractible.

Buffeted by generalized global instability, the international derivatives market massively shorted Argentine bonds in the second half of 2001 and on December 23, following a spate of unpopular crisis measures, the Argentine government declared a default on US $ 93 billion of its bonds, the largest sovereign debt default in history.