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Journal articles on the topic 'Hierarchy Theory'

Author: Grafiati

Published: 4 June 2021

Last updated: 21 February 2023

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1

Allen, T. F. H., P. C. Allen, and D. L. Wixon. "Hierarchy theory in hydropedology." Hydrology and Earth System Sciences Discussions 6, no. 2 (April 1, 2009): 2931–59. http://dx.doi.org/10.5194/hessd-6-2931-2009.

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Abstract. The challenges that face scientists in the bourgeoning field of hydropedology include many of those that face investigations in complex systems. We suggest hierarchy theory as being particularly helpful in teasing through complexity in hydropedological investigations. We present a brief overview of hierarchy theory highlighting the importance of defining levels of analysis, the role of theory in prediction, and the importance of narrative in science. These concepts are highlighted by references from the hydropological literature. We point out several issues common to scientists faced with complex systems analysis, and suggest several strategies to help hydropedologists deal with them. In order to help bridge the gap between theory and application, we present several specific examples of how hierarchical treatments have helped scientists deal with the modeling and analysis of complex systems related to hydropedology. We conclude that hierarchy theory offers many powerful tools with which to tackle the complexity inherent in soil water interactions, and that its use would benefit a more systematic and robust integration of the hydrologic and soil sciences.

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2

Ellner, Stephen. "Hierarchy Theory and Practice." Ecology 68, no. 4 (August 1987): 1126. http://dx.doi.org/10.2307/1938390.

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3

Bennett, Marlyn, and Corbin Shangreaux. "Appyling Maslow's Hierarchy Theory." First Peoples Child & Family Review 2, no. 1 (May 22, 2020): 89–116. http://dx.doi.org/10.7202/1069540ar.

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This paper evolved from the outcome of a feedback meeting held between the principle researchers of Cycle II of the Canadian Incidence Study of Reported Child Abuse and Neglect (CIS), the Public Health Agency of Canada (PHAC) and a number of representatives of the First Nations Child and Family Service Agencies (FNCFS Agencies) which participated in Cycle II of the CIS (CIS-2003) and numerous Research Assistants tasked with collecting information from the FNCFS Agencies. The authors present a profile of the historical and contemporary experience of Aboriginal children and families who come into contact with the child welfare system and include a discussion on some of the findings from two analyses that have been conducted on the data from the 1998 Canadian Incident Study of Reported Child Abuse and Neglect (CIS-1998). An overview of the challenges as well as the positive aspects of the study from the perspectives of the FNCFS Agencies and the Research Assistances is included along with an examination as to why research may not figure prominently among the service priorities of FNCFS Agencies. The strengths of challenges of participating in CIS-2003 provide rich insight into the perspectives of the Research Assistants and FNCFS Agencies who participated in this national study. The paper concludes with recommendations by the FNCFS Agencies and the Research Assistants on how to improve the data collection process with FNCFS Agencies for future Cycles of the Canadian Incident Study of Reported Child Abuse and Neglect.

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4

Hayakawa, M. "Mass hierarchy from compositeness hierarchy in supersymmetric gauge theory." Physics Letters B 408, no. 1-4 (September 1997): 207–12. http://dx.doi.org/10.1016/s0370-2693(97)00792-2.

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5

Bonilha, Giovana, and Carmén Lúcia Matzenauer. "Optimality Theory and Hierarchy Construction." Journal of Portuguese Linguistics 2, no. 1 (June 30, 2003): 7. http://dx.doi.org/10.5334/jpl.33.

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6

Lieberman, Bruce S., and Elisabeth S. Vrba. "Hierarchy Theory, Selection, and Sorting." BioScience 45, no. 6 (June 1995): 394–99. http://dx.doi.org/10.2307/1312719.

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7

Brownhill, Leigh. "Overcoming Hierarchy: A Theory Illustrated." Capitalism Nature Socialism 33, no. 2 (April 3, 2022): 1–4. http://dx.doi.org/10.1080/10455752.2022.2093284.

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8

Heckman, Jonathan J., and Cumrun Vafa. "Flavor hierarchy from F-theory." Nuclear Physics B 837, no. 1-2 (September 2010): 137–51. http://dx.doi.org/10.1016/j.nuclphysb.2010.05.009.

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9

Wilby, Jennifer. "A critique of hierarchy theory." Systems Practice 7, no. 6 (December 1994): 653–70. http://dx.doi.org/10.1007/bf02173498.

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10

Bayer, G. "Theory as Hierarchy: Positioning German Migrantenliteratur." Monatshefte XCVI, no. 1 (March 1, 2004): 1–19. http://dx.doi.org/10.3368/m.xcvi.1.1.

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11

Lee, Jyh-Hao, and Oktay K. Pashaev. "Moving frames hierarchy and BF theory." Journal of Mathematical Physics 39, no. 1 (January 1998): 102–23. http://dx.doi.org/10.1063/1.532310.

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12

Berliner, Adam, Ulrike Bostelmann, Richard A. Brualdi, and Louis Deaett. "Acyclic digraphs and local hierarchy theory." Mathematical and Computer Modelling 45, no. 5-6 (March 2007): 660–67. http://dx.doi.org/10.1016/j.mcm.2006.07.012.

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13

BEROS, ACHILLES A. "LEARNING THEORY IN THE ARITHMETIC HIERARCHY." Journal of Symbolic Logic 79, no. 3 (August 18, 2014): 908–27. http://dx.doi.org/10.1017/jsl.2014.23.

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AbstractWe consider the arithmetic complexity of index sets of uniformly computably enumerable families learnable under different learning criteria. We determine the exact complexity of these sets for the standard notions of finite learning, learning in the limit, behaviorally correct learning and anomalous learning in the limit. In proving the ${\rm{\Sigma }}_5^0$-completeness result for behaviorally correct learning we prove a result of independent interest; if a uniformly computably enumerable family is not learnable, then for any computable learner there is a ${\rm{\Delta }}_2^0$ enumeration witnessing failure.

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14

Mo, M. Y. "The twistor theory of Whitham hierarchy." Journal of Geometry and Physics 56, no. 11 (November 2006): 2237–60. http://dx.doi.org/10.1016/j.geomphys.2005.11.017.

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15

Lee, Jyh-Hao, and Oktay K. Pashaev. "Integrable Hierarchy from Topological Gauge Theory." International Journal of Modern Physics A 12, no. 01 (January 10, 1997): 213–18. http://dx.doi.org/10.1142/s0217751x9700030x.

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By the recursion operator of nonlinear Schrödinger hierarchy, integrable models in 1+1 dimensions are related to the hierarchy of U(1) invariant gauge fixing constraints for the BF gauge theory. The loop algebra structure for the related linear problem with the spectral parameter as a constant valued, zero-strength gauge degree of freedom is derived.

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16

Barlow, Michael. "The Agreement Hierarchy and Grammatical Theory." Annual Meeting of the Berkeley Linguistics Society 17, no. 1 (July 25, 1991): 30. http://dx.doi.org/10.3765/bls.v17i0.1629.

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17

Pukhnachov, V. V. "Hierarchy of Models in Convection Theory." Journal of Mathematical Sciences 123, no. 6 (October 2004): 4607–20. http://dx.doi.org/10.1023/b:joth.0000041478.45024.64.

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18

Lake, David A. "Anarchy, hierarchy, and the variety of international relations." International Organization 50, no. 1 (1996): 1–33. http://dx.doi.org/10.1017/s002081830000165x.

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Security relations between states vary along a continuum from anarchic alliances to hierarchic empires. This continuum, in turn, is defined by the parties' rights of residual control. The state's choice between alternatives is explained in a theory of relational contracting as a function of the expected costs of opportunism, which decline with relational hierarchy, and governance costs, which rise with relational hierarchy. A comparison of early postwar relations between the United States and Western Europe and the Soviet Union and Eastern Europe illustrates the theory.

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19

Manturov, Vassily O. "Flat hierarchy." Fundamenta Mathematicae 188 (2005): 147–54. http://dx.doi.org/10.4064/fm188-0-7.

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20

LINNEBO, ØYSTEIN. "THE POTENTIAL HIERARCHY OF SETS." Review of Symbolic Logic 6, no. 2 (March 14, 2013): 205–28. http://dx.doi.org/10.1017/s1755020313000014.

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AbstractSome reasons to regard the cumulative hierarchy of sets as potential rather than actual are discussed. Motivated by this, a modal set theory is developed which encapsulates this potentialist conception. The resulting theory is equi-interpretable with Zermelo Fraenkel set theory but sheds new light on the set-theoretic paradoxes and the foundations of set theory.

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21

SELIVANOV, VICTOR. "Towards a descriptive theory of cb0-spaces." Mathematical Structures in Computer Science 27, no. 8 (June 9, 2016): 1553–80. http://dx.doi.org/10.1017/s0960129516000177.

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The paper tries to extend some results of the classical Descriptive Set Theory to as many countably basedT0-spaces (cb0-spaces) as possible. Along with extending some central facts about Borel, Luzin and Hausdorff hierarchies of sets we also consider the more general case ofk-partitions. In particular, we investigate the difference hierarchy ofk-partitions and the fine hierarchy closely related to the Wadge hierarchy.

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22

NAKATSU, TOSHIO, and KANEHISA TAKASAKI. "WHITHAM-TODA HIERARCHY AND N=2 SUPERSYMMETRIC YANG-MILLS THEORY." Modern Physics Letters A 11, no. 02 (January 20, 1996): 157–68. http://dx.doi.org/10.1142/s0217732396000187.

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The exact solution of N=2 supersymmetric SU(N) Yang-Mills theory is studied in the framework of the Whitham hierarchies. The solution is identified with a homogeneous solution of a Whitham hierarchy. This integrable hierarchy (Whitham-Toda hierarchy) describes modulation of a quasiperiodic solution of the (generalized) Toda lattice hierarchy associated with the hyperelliptic curves over the quantum moduli space. The relation between the holomorphic pre-potential of the low energy effective action and the τ-function of the (generalized) Toda lattice hierarchy is also clarified.

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23

Gracia-Lázaro, Carlos, Luis Floría, and Yamir Moreno. "Cognitive Hierarchy Theory and Two-Person Games." Games 8, no. 1 (January 3, 2017): 1. http://dx.doi.org/10.3390/g8010001.

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24

Joseph, Suzanne. "Hierarchy Theory: A Vision, Vocabulary, and Epistemology." Journal of Ecological Anthropology 3, no. 1 (January 1999): 85–86. http://dx.doi.org/10.5038/2162-4593.3.1.7.

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25

Marshakov, Andrei, and Nikita A. Nekrasov. "Extended Seiberg-Witten theory and integrable hierarchy." Journal of High Energy Physics 2007, no. 01 (January 30, 2007): 104. http://dx.doi.org/10.1088/1126-6708/2007/01/104.

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26

Marshakov, A. "Seiberg-Witten theory and extended Toda hierarchy." Journal of High Energy Physics 2008, no. 03 (March 25, 2008): 055. http://dx.doi.org/10.1088/1126-6708/2008/03/055.

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27

Li, Zongxin, Zhiping Chen, and Yongchang Hui. "Portfolio selection through Maslow’s need hierarchy theory." Applied Economics 51, no. 4 (July 21, 2018): 364–72. http://dx.doi.org/10.1080/00036846.2018.1496223.

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28

Jäger, Gerhard, and James Rogers. "Formal language theory: refining the Chomsky hierarchy." Philosophical Transactions of the Royal Society B: Biological Sciences 367, no. 1598 (July 19, 2012): 1956–70. http://dx.doi.org/10.1098/rstb.2012.0077.

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The first part of this article gives a brief overview of the four levels of the Chomsky hierarchy, with a special emphasis on context-free and regular languages. It then recapitulates the arguments why neither regular nor context-free grammar is sufficiently expressive to capture all phenomena in the natural language syntax. In the second part, two refinements of the Chomsky hierarchy are reviewed, which are both relevant to the extant research in cognitive science: the mildly context-sensitive languages (which are located between context-free and context-sensitive languages), and the sub-regular hierarchy (which distinguishes several levels of complexity within the class of regular languages).

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29

Degasperis, A. "The nonlinear Schrödinger Hierarchy in perturbation theory." Physica D: Nonlinear Phenomena 87, no. 1-4 (October 1995): 151–54. http://dx.doi.org/10.1016/0167-2789(95)00131-m.

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30

Egghe, L., and R. Rousseau. "A local hierarchy theory for acyclic digraphs." Mathematical and Computer Modelling 39, no. 1 (January 2004): 107–17. http://dx.doi.org/10.1016/s0895-7177(04)90510-9.

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31

Kac, V. G., and J. W. van de Leur. "Then-component KP hierarchy and representation theory." Journal of Mathematical Physics 44, no. 8 (August 2003): 3245–93. http://dx.doi.org/10.1063/1.1590055.

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32

Schaefer, Marcus. "Graph Ramsey Theory and the Polynomial Hierarchy." Journal of Computer and System Sciences 62, no. 2 (March 2001): 290–322. http://dx.doi.org/10.1006/jcss.2000.1729.

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33

La Caze, Adam. "The hierarchy of evidence and quantum theory." Journal of Clinical Epidemiology 72 (April 2016): 4–6. http://dx.doi.org/10.1016/j.jclinepi.2015.06.014.

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34

KATO, HIDEYUKI. "l-REDUCTION AND TWISTED CONFORMAL FIELD THEORY." International Journal of Modern Physics A 05, no. 12 (June 20, 1990): 2331–42. http://dx.doi.org/10.1142/s0217751x90001082.

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Theory of l-reduction of KP hierarchy is investigated from a view point of conformal field theory. Twisted conformal field theory emerges naturally in the discussion. Possible application of this kind of connection between hierarchy and CFT is suggested.

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35

Takeuti, Gaisi. "Grzegorcyk's hierarchy and IepΣ1." Journal of Symbolic Logic 59, no. 4 (December 1994): 1274–84. http://dx.doi.org/10.2307/2275705.

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A proof-theoretic characterization of the primitive recursive functions is the Σ1-definable functions in IΣ1 as is shown in Mints [4], Parsons [5], and [8].Then what is a proof-theoretic characterization of Grzegorzyk's hierarchy? First we discuss a related previous work. In Clote and Takeuti [2], we introduced a theory TAC that corresponds to the computational complexity class AC. TAC has a very weak form of induction. We assign a rank to a proof in TAC in the following way. The rank of a proof P in TAC is the nesting number of inductions used in P. Then TACi is defined to be the subtheory of TAC whose proof has a rank ≤ i. We proved that TACi corresponds to the class ACi.In this paper we introduce a theory IepΣ1 which is equivalent to IΣ1. Then we define the rank of a proof in IepΣ1 as the nesting number of inductions in the proof and prove that the proofs with rank ≤ i correspond to Grzegorcyk's hierarchy for i > 0.We also prove that the system that has proofs with rank 0 is actually equivalent to I Δ0. These facts are interesting since it is proved in [10] that the theory isomorphic to TAC∘ by RSUV isomorphism is a conservative extension of I Δo. Therefore there is some analogy between the class AC and the primitive recursive functions.

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36

Zhang, Ning, and Jin Fu Zhu. "Fuzzy Analytic Hierarchy Process Method for Civil Aviation Airport Security Information Management." Applied Mechanics and Materials 701-702 (December 2014): 40–43. http://dx.doi.org/10.4028/www.scientific.net/amm.701-702.40.

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In the study, the method based on the combination of analytic hierarchy process(AHP) and fuzzy theory is proposed to evaluate civil aviation airport security information management. Assessment indexes of civil aviation airport security information management are studied and given, and the hierarchic tree is formulated based on assessment indexes of civil aviation airport security information management. On the basis of describing evaluation indexes for civil aviation airport security information management, and the evaluation model of civil aviation airport security information management is constructed based on fuzzy analytic hierarchy process. Finally, the case is used to testify the effectiveness of the proposed fuzzy analytic hierarchy process method.

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37

TREVES, FRANÇOIS. "NONCOMMUTATIVE KdV HIERARCHY." Reviews in Mathematical Physics 19, no. 07 (August 2007): 677–724. http://dx.doi.org/10.1142/s0129055x07003036.

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The noncommutative version of the Korteweg–de Vries equation studied here is shown to admit infinitely many constants of motion and to give rise to a hierarchy of higher-order Hamiltonian evolution equations, each one the noncommutative version of the commutative KdV equation of the same order. The noncommutative KdV polynomials span, topologically, a maximal Abelian subalgebra of the Lie algebra of noncommutative Bäcklund transformations. Two classes of examples of "completely integrable" systems of evolution equations to which the theory applies are described in the last two sections.

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38

Shou, Bao, Qiufang Liu, and Chuanzhong Li. "Darboux transformations of noncommutative BKP and CKP hierarchies." International Journal of Geometric Methods in Modern Physics 17, no. 11 (September 2020): 2050171. http://dx.doi.org/10.1142/s0219887820501716.

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In this paper, we construct Darboux transformations of the noncommutative BKP (ncBKP) hierarchy and the noncommutative CKP (ncCKP) hierarchy. From these Darboux transformations, the explicit differences between the BKP (CKP) hierarchy and the noncommutative BKP (ncCKP) hierarchy can be seen clearly in this paper. These studies might be useful in the M theory and string theory in future.

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39

Kechris, Alexander S. "New Directions in Descriptive Set Theory." Bulletin of Symbolic Logic 5, no. 2 (June 1999): 161–74. http://dx.doi.org/10.2307/421088.

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§1. I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually called Polish spaces. Typical examples are ℝn, ℂn, (separable) Hilbert space and more generally all separable Banach spaces, the Cantor space 2ℕ, the Baire space ℕℕ, the infinite symmetric group S∞, the unitary group (of the Hilbert space), the group of measure preserving transformations of the unit interval, etc.In this theory sets are classified in hierarchies according to the complexity of their definitions and the structure of sets in each level of these hierarchies is systematically analyzed. In the beginning we have the Borel sets in Polish spaces, obtained by starting with the open sets and closing under the operations of complementation and countable unions, and the corresponding Borel hierarchy ( sets). After this come the projective sets, obtained by starting with the Borel sets and closing under the operations of complementation and projection, and the corresponding projective hierarchy ( sets).There are also transfinite extensions of the projective hierarchy and even much more complex definable sets studied in descriptive set theory, but I will restrict myself here to Borel and projective sets, in fact just those at the first level of the projective hierarchy, i.e., the Borel (), analytic () and coanalytic () sets.

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40

Hanink, James G. "A Theory of Basic Goods: Structure and Hierarchy." Thomist: A Speculative Quarterly Review 52, no. 2 (1988): 221–45. http://dx.doi.org/10.1353/tho.1988.0047.

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41

Antoniadis, I. "Mass hierarchy and physics beyond the Standard Theory." International Journal of Modern Physics A 29, no. 21 (August 20, 2014): 1444001. http://dx.doi.org/10.1142/s0217751x14440011.

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I discuss the status of the mass hierarchy problem and prospects for beyond the Standard Model physics in the light of the Higgs scalar discovery at the LHC and the experimental searches for new physics. In particular, I will discuss in this context low energy supersymmetry and large extra dimensions with low string scale.

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42

Takasaki, Kanehisa. "Generalized Ablowitz–Ladik hierarchy in topological string theory." Journal of Physics A: Mathematical and Theoretical 47, no. 16 (April 2, 2014): 165201. http://dx.doi.org/10.1088/1751-8113/47/16/165201.

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43

Goerbig, M. O., P. Lederer, and C. Morais Smith. "Hierarchy of composite fermions in the Hamiltonian theory." Physica E: Low-dimensional Systems and Nanostructures 34, no. 1-2 (August 2006): 57–62. http://dx.doi.org/10.1016/j.physe.2006.02.016.

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44

Ahissar, Merav, and Shaul Hochstein. "The reverse hierarchy theory of visual perceptual learning." Trends in Cognitive Sciences 8, no. 10 (October 2004): 457–64. http://dx.doi.org/10.1016/j.tics.2004.08.011.

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45

Berglund, P., T. Hübsch, and D. Minic. "Localized gravity and large hierarchy from string theory?" Physics Letters B 512, no. 1-2 (July 2001): 155–60. http://dx.doi.org/10.1016/s0370-2693(01)00665-7.

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46

SALTHE, STANLEY N. "TWO FORMS OF HIERARCHY THEORY IN WESTERN DISCOURSES." International Journal of General Systems 18, no. 3 (January 1991): 251–64. http://dx.doi.org/10.1080/03081079108935149.

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47

Yarrow, Matthew M., and Stanley N. Salthe. "Ecological boundaries in the context of hierarchy theory." Biosystems 92, no. 3 (June 2008): 233–44. http://dx.doi.org/10.1016/j.biosystems.2008.03.001.

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48

KANETA, KUNIO, and YOSHIHARU KAWAMURA. "FERMION MASS HIERARCHY IN LIFSHITZ TYPE GAUGE THEORY." Modern Physics Letters A 25, no. 19 (June 21, 2010): 1613–23. http://dx.doi.org/10.1142/s021773231003327x.

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We study the origin of fermion mass hierarchy and flavor mixing in a Lifshitz type extension of the standard model including an extra scalar field. We show that the hierarchical structure can originate from renormalizable interactions. In contrast to the ordinary Froggatt–Nielsen mechanism, the higher the dimension of associated operators, the heavier the fermion masses. Tiny masses for left-handed neutrinos are obtained without introducing right-handed neutrinos.

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49

Gregory, T. Ryan. "Macroevolution, hierarchy theory, and the C-value enigma." Paleobiology 30, no. 2 (June 2004): 179–202. http://dx.doi.org/10.1666/0094-8373(2004)030<0179:mhtatc>2.0.co;2.

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50

Takasaki, Kanehisa. "Dispersionless Toda hierarchy and two-dimensional string theory." Communications in Mathematical Physics 170, no. 1 (May 1995): 101–16. http://dx.doi.org/10.1007/bf02099441.

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