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Journal articles on the topic 'Higher order'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 June 2025

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1

Hellie, Benj. "Higher-Order Intentionality and Higher-Order Acquaintance." Philosophical Studies 134, no. 3 (2006): 289–324. http://dx.doi.org/10.1007/s11098-005-0241-0.

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2

Alshammari, Hadi Obaid. "Higher order hyperexpansivity and higher order hypercontractivity." AIMS Mathematics 8, no. 11 (2023): 27227–40. http://dx.doi.org/10.3934/math.20231393.

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<abstract><p>As a natural extension of the concept of $ (m, p) $-hyperexpansive and $ (m, p) $-hypercontractive of a single operator, we introduce and study the concepts of $ (m, p) $-hyperexpansivity and $ (m, p) $-hypercontractivity for $ d $-tuple of commuting operators acting on Banach spaces. These concepts extend the definitions of $ m $-isometries and $ (m, p) $-isometric tuples of bounded linear operators acting on Hilbert or Banach spaces, which have been introduced and studied by many authors.</p></abstract>

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3

Trémolet, Yannick. "First-order and higher-order approximations of observation impact." Meteorologische Zeitschrift 16, no. 6 (2007): 693–94. http://dx.doi.org/10.1127/0941-2948/2007/0258.

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4

Pinelas, Sandra, Mohan B, and Britto Antony Xavier G. "Higher Order Fibonacci Sequence and Series by Generalized Higher Order Variable Co-Efficient Difference Operator." Journal of Computational Mathematica 1, no. 1 (2017): 112–22. http://dx.doi.org/10.26524/cm9.

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5

Penot, Jean-Paul. "Higher-Order Optimality Conditions and Higher-Order Tangent Sets." SIAM Journal on Optimization 27, no. 4 (2017): 2508–27. http://dx.doi.org/10.1137/16m1100551.

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6

Ivanov, Vsevolod I. "Higher order invex functions and higher order pseudoinvex ones." Applicable Analysis 92, no. 10 (2013): 2152–67. http://dx.doi.org/10.1080/00036811.2012.724401.

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7

Crampin, M., W. Sarlet, and F. Cantrijn. "Higher-order differential equations and higher-order lagrangian mechanics." Mathematical Proceedings of the Cambridge Philosophical Society 99, no. 3 (1986): 565–87. http://dx.doi.org/10.1017/s0305004100064501.

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The study of higher-order mechanics, by various geometrical methods, in the framework of the theory of higher-order tangent bundles or jet spaces, has been undertaken by a number of authors recently: for example, Tulczyjew [16, 17], Rodrigues [14, 15] de León [8], Krupka and Musilova [11, and references therein]. In this article we wish to complement these studies by approaching the subject from a new point of view, one which we developed for second-order differential equation fields and first-order Lagrangian mechanics in [19]. In particular, our aim is to show that many of the results we obtained there may be extended to the higher-order case.

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8

Luu, Do Van. "Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones." Numerical Functional Analysis and Optimization 35, no. 1 (2013): 68–84. http://dx.doi.org/10.1080/01630563.2013.809583.

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9

Padhan, Saroj Kumar, and Chandal Nahak. "Higher-order symmetric duality with higher-order generalized invexity." Journal of Applied Mathematics and Computing 48, no. 1-2 (2014): 407–20. http://dx.doi.org/10.1007/s12190-014-0810-5.

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10

Wong, Kit Pong. "Comparative higher-order risk aversion and higher-order prudence." Economics Letters 169 (August 2018): 38–42. http://dx.doi.org/10.1016/j.econlet.2018.05.005.

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11

Ederington, Louis H., and Wei Guan. "Higher Order Greeks." Journal of Derivatives 14, no. 3 (2007): 7–34. http://dx.doi.org/10.3905/jod.2007.681812.

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12

Bruce, Kim, Johan van Benthem, and Kees Doets. "Higher-order Logic." Journal of Symbolic Logic 54, no. 3 (1989): 1090. http://dx.doi.org/10.2307/2274769.

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13

Tienson, John. "HIGHER-ORDER CAUSATION." Grazer Philosophische studien 63, no. 1 (2002): 89–101. http://dx.doi.org/10.1163/18756735-90000758.

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14

STONE, JOANNE, and KATHERINE S. KOHARI. "Higher-order Multiples." Clinical Obstetrics and Gynecology 58, no. 3 (2015): 668–75. http://dx.doi.org/10.1097/grf.0000000000000121.

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15

Roddick, John F., Myra Spiliopoulou, Daniel Lister, and Aaron Ceglar. "Higher order mining." ACM SIGKDD Explorations Newsletter 10, no. 1 (2008): 5–17. http://dx.doi.org/10.1145/1412734.1412736.

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16

Perner, Josef, and Zoltan Dienes. "Higher order thinking." Behavioral and Brain Sciences 22, no. 1 (1999): 164–65. http://dx.doi.org/10.1017/s0140525x99401797.

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17

Qualls, Sarah. "Higher-Order President." AJN, American Journal of Nursing 107, no. 9 (2007): 72AAA. http://dx.doi.org/10.1097/01.naj.0000287516.53876.d8.

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18

Pierce, Benjamin, and Martin Steffen. "Higher-order subtyping." Theoretical Computer Science 176, no. 1-2 (1997): 235–82. http://dx.doi.org/10.1016/s0304-3975(96)00096-5.

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19

Giovangigli, Vincent. "Higher Order Entropies." Archive for Rational Mechanics and Analysis 187, no. 2 (2007): 221–85. http://dx.doi.org/10.1007/s00205-007-0065-5.

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20

CHRISTENSEN, DAVID. "Higher-Order Evidence1." Philosophy and Phenomenological Research 81, no. 1 (2010): 185–215. http://dx.doi.org/10.1111/j.1933-1592.2010.00366.x.

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21

Murawski, Andrzej S., and Nikos Tzevelekos. "Higher-order linearisability." Journal of Logical and Algebraic Methods in Programming 104 (April 2019): 86–116. http://dx.doi.org/10.1016/j.jlamp.2019.01.002.

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22

Duggan, Dominic. "Higher-Order Substitutions." Information and Computation 164, no. 1 (2001): 1–53. http://dx.doi.org/10.1006/inco.2000.2887.

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23

Cheung, Wing-Sum. "Higher order conservation laws and a higher order Noether's theorem." Advances in Applied Mathematics 8, no. 4 (1987): 446–85. http://dx.doi.org/10.1016/0196-8858(87)90021-2.

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24

Hong-Xia, Zhao, Ma Shan-Jun, and Shi Yong. "Higher-Order Lagrangian Equations of Higher-Order Motive Mechanical System." Communications in Theoretical Physics 49, no. 2 (2008): 479–81. http://dx.doi.org/10.1088/0253-6102/49/2/47.

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25

Forster, Thomas. "A Consistent Higher-Order Theory Without a (Higher-Order) Model." Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 35, no. 5 (1989): 385–86. http://dx.doi.org/10.1002/malq.19890350502.

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26

Edmunds, David E., and Jiří Rákosník. "On a higher-order Hardy inequality." Mathematica Bohemica 124, no. 2 (1999): 113–21. http://dx.doi.org/10.21136/mb.1999.126250.

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27

Bobzien, Susanne. "I-Columnar Higher-Order Vagueness, or Vagueness is Higher-Order Vagueness." Aristotelian Society Supplementary Volume 89, no. 1 (2015): 61–87. http://dx.doi.org/10.1111/j.1467-8349.2015.00244.x.

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28

Yeganeh, Mohammad, and Saifollah Rasouli. "Moiré fringes of higher-order harmonics versus higher-order moiré patterns." Applied Optics 57, no. 33 (2018): 9777. http://dx.doi.org/10.1364/ao.57.009777.

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29

Dick, Josef, and Peter Kritzer. "A higher order Blokh–Zyablov propagation rule for higher order nets." Finite Fields and Their Applications 18, no. 6 (2012): 1169–83. http://dx.doi.org/10.1016/j.ffa.2012.08.003.

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30

Guodong, Liu. "Higher-order multivariable euler's polynomial and higher-order multivariable bernoulli's polynomial." Applied Mathematics and Mechanics 19, no. 9 (1998): 895–906. http://dx.doi.org/10.1007/bf02458245.

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31

Morita, Satoshi, and Naoki Kawashima. "Calculation of higher-order moments by higher-order tensor renormalization group." Computer Physics Communications 236 (March 2019): 65–71. http://dx.doi.org/10.1016/j.cpc.2018.10.014.

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32

Unno, Hiroshi, Takeshi Tsukada, and Jie-Hong Roland Jiang. "Solving Higher-Order Quantified Boolean Satisfiability via Higher-Order Model Checking." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 11 (2025): 11372–80. https://doi.org/10.1609/aaai.v39i11.33237.

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The satisfiability (SAT) problem of higher-order quantified Boolean formula (HOQBF) emerged as a natural generalization of SAT, quantified SAT, and second-order quantified SAT. It allows succinct encoding of k-EXPTIME problems beyond the reach of prior Boolean satisfiability formulations, but its application was hampered by the lack of solvers. In this paper, we present the first HOQBF solver that leverages techniques from the model-checking community. Our HOQBF solver is based on reduction to higher-order model checking, which is a generalization from model checking of while-programs to that of higher-order functional programs. The ability of a higher-order model checker to deal with higher-order functions in a program is used to reason about higher-order quantifiers in HOQBF.

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33

Akhtar, Tahira, and Aahsann Kazemi. "Factors associated with complications in higher order compared to lower order repeat." International Archives of Obstetrics and Gynecology 1, no. 1 (2016): 32–39. http://dx.doi.org/10.21619/iaog.2016.1.5.

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34

Baldamus, Michael. "First–order Semantics for Higher–order Processes." Electronic Notes in Theoretical Computer Science 41, no. 3 (2001): 50–69. http://dx.doi.org/10.1016/s1571-0661(04)80873-9.

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35

Koutavas, Vasileios, and Matthew Hennessy. "First-order reasoning for higher-order concurrency." Computer Languages, Systems & Structures 38, no. 3 (2012): 242–77. http://dx.doi.org/10.1016/j.cl.2012.04.003.

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36

Kojović, Maja, and Kailash P. Bhatia. "Bringing order to higher order motor disorders." Journal of Neurology 266, no. 4 (2018): 797–805. http://dx.doi.org/10.1007/s00415-018-8974-9.

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37

Bonelli, Eduardo, Delia Kesner, and Alejandro Rios. "Relating Higher-order and First-order Rewriting." Journal of Logic and Computation 15, no. 6 (2005): 901–47. http://dx.doi.org/10.1093/logcom/exi050.

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38

Mulaik, Stanley A., and Douglas A. Quartetti. "First order or higher order general factor?" Structural Equation Modeling: A Multidisciplinary Journal 4, no. 3 (1997): 193–211. http://dx.doi.org/10.1080/10705519709540071.

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39

Or-Bach, Rachel. "Higher Education—Educating for Higher Order Skills." Creative Education 04, no. 07 (2013): 17–21. http://dx.doi.org/10.4236/ce.2013.47a2004.

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40

de León, Manuel, Jordi Gaset, Manuel Laínz, Miguel C. Muñoz-Lecanda, and Narciso Román-Roy. "Higher-order contact mechanics." Annals of Physics 425 (February 2021): 168396. http://dx.doi.org/10.1016/j.aop.2021.168396.

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41

Hiptmair, R. "Higher ORDER Whitney Forms." Progress In Electromagnetics Research 32 (2001): 271–99. http://dx.doi.org/10.2528/pier00080111.

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42

Bruggeman, Roelof, and Nikolaos Diamantis. "Higher-order Maass forms." Algebra & Number Theory 6, no. 7 (2012): 1409–58. http://dx.doi.org/10.2140/ant.2012.6.1409.

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43

Endou, Noboru, Hiroyuki Okazaki, and Yasunari Shidama. "Higher-Order Partial Differentiation." Formalized Mathematics 20, no. 2 (2012): 113–24. http://dx.doi.org/10.2478/v10037-012-0015-z.

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Summary In this article, we shall extend the formalization of [10] to discuss higher-order partial differentiation of real valued functions. The linearity of this operator is also proved (refer to [10], [12] and [13] for partial differentiation).

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44

Kharoof, Aziz. "Higher order Toda brackets." Journal of Homotopy and Related Structures 16, no. 3 (2021): 451–86. http://dx.doi.org/10.1007/s40062-021-00285-5.

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45

Xie, Biye, Hai-Xiao Wang, Xiujuan Zhang, et al. "Higher-order band topology." Nature Reviews Physics 3, no. 7 (2021): 520–32. http://dx.doi.org/10.1038/s42254-021-00323-4.

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46

Astesiano, Egidio, and Maura Cerioli. "Partial Higher-Order Specifications1." Fundamenta Informaticae 16, no. 2 (1992): 101–26. http://dx.doi.org/10.3233/fi-1992-16203.

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In this paper the classes of extensional models of higher-order partial conditional specifications are studied, with the emphasis on the closure properties of these classes. Further it is shown that any equationally complete inference system for partial conditional specifications may be extended to an inference system for partial higher-order conditional specifications, which is equationally complete w.r.t. the class of all extensional models. Then, applying some previous results, a deduction system is proposed, equationally complete for the class of extensional models of a partial conditional specification. Finally, turning the attention to the special important case of termextensional models, it is first shown a sound and equationally complete inference system and then necessary and sufficient conditions are given for the existence of free models, which are also free in the class of term-generated extensional models.

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47

Stojanovski, Zvonimir, and Dmitry Savransky. "Higher-Order Unscented Estimator." Journal of Guidance, Control, and Dynamics 44, no. 12 (2021): 2186–98. http://dx.doi.org/10.2514/1.g006109.

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48

Marshall R., M. Victoria. "Higher order reflection principles." Journal of Symbolic Logic 54, no. 2 (1989): 474–89. http://dx.doi.org/10.2307/2274862.

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In [1] and [2] there is a development of a class theory, whose axioms were formulated by Bernays and based on a reflection principle. See [3]. These axioms are formulated in first order logic with ∈:(A1)Extensionality.(A2)Class specification. Ifϕis a formula andAis not free inϕ, thenNote that “xis a set“ can be written as “∃u(x∈u)”.(A3)Subsets.Note also that “B⊆A” can be written as “∀x(x∈B→x∈A)”.(A4)Reflection principle. Ifϕ(x)is a formula, thenwhere “uis a transitive set” is the formula “∃v(u∈v) ∧ ∀x∀y(x∈y∧y∈u→x∈u)” andϕPuis the formulaϕrelativized to subsets ofu.(A5)Foundation.(A6)Choice for sets.We denote byB1the theory with axioms (A1) to (A6).The existence of weakly compact and-indescribable cardinals for everynis established inB1by the method of defining all metamathematical concepts forB1in a weaker theory of classes where the natural numbers can be defined and using the reflection principle to reflect the satisfaction relation; see [1]. There is a proof of the consistency ofB1assuming the existence of a measurable cardinal; see [4] and [5]. In [6] several set and class theories with reflection principles are developed. In them, the existence of inaccessible cardinals and some kinds of indescribable cardinals can be proved; and also there is a generalization of indescribability for higher-order languages using only class parameters.The purpose of this work is to develop higher order reflection principles, including higher order parameters, in order to obtain other large cardinals.

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49

Gogioso, Stefano. "Higher-order CPM Constructions." Electronic Proceedings in Theoretical Computer Science 287 (January 31, 2019): 145–62. http://dx.doi.org/10.4204/eptcs.287.8.

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50

Arnold, H. Moore, Nicholas J. Grahame, and Ralph R. Miller. "Higher order occasion setting." Animal Learning & Behavior 19, no. 1 (1991): 58–64. http://dx.doi.org/10.3758/bf03197860.

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