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Journal articles on the topic 'Theory of degree'

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1

Pasquotto, Federica, and Thomas O. Rot. "Degree theory for orbifolds." Topology and its Applications 282 (August 2020): 107326. http://dx.doi.org/10.1016/j.topol.2020.107326.

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2

Kristiansen, Lars, Jan-Christoph Schlage-Puchta, and Andreas Weiermann. "Streamlined subrecursive degree theory." Annals of Pure and Applied Logic 163, no. 6 (2012): 698–716. http://dx.doi.org/10.1016/j.apal.2011.11.004.

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3

SHI, XIANGHUI. "AXIOM I0 AND HIGHER DEGREE THEORY." Journal of Symbolic Logic 80, no. 3 (2015): 970–1021. http://dx.doi.org/10.1017/jsl.2015.15.

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AbstractIn this paper, we analyze structures of Zermelo degrees via a list of four degree theoretic questions (see §2) in various fine structure extender models, or under large cardinal assumptions. In particular we give a detailed analysis of the structures of Zermelo degrees in the Mitchell model for ω many measurable cardinals. It turns out that there is a profound correlation between the complexity of the degree structures at countable cofinality singular cardinals and the large cardinal strength of the relevant cardinals. The analysis applies to general degree notions, Zermelo degree is m
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4

Brown, Robert F., and Helga Schirmer. "Nielsen root theory and Hopf degree theory." Pacific Journal of Mathematics 198, no. 1 (2001): 49–80. http://dx.doi.org/10.2140/pjm.2001.198.49.

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5

Smith, Quentin. "Time and Degrees of Existence: A Theory of ‘Degree Presentism’." Royal Institute of Philosophy Supplement 50 (March 2002): 119–36. http://dx.doi.org/10.1017/s1358246100010535.

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It seems intuitively obvious that what I am doing right now is more real than what I did just one second ago, and it seems intuitively obvious that what I did just one second ago is more real than what I did forty years ago. And yet, remarkably, every philosopher of time today, except for the author, denies this obvious fact about reality. What went wrong? How could philosophers get so far away from what is the most experientially evident fact about reality?
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6

Manz, Olaf. "Degree problems II π - separable character degrees". Communications in Algebra 13, № 11 (1985): 2421–31. http://dx.doi.org/10.1080/00927878508823281.

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7

Hu, Shouchuan, and Nikolaos S. Papageorgiou. "Generalizations of Browder's Degree Theory." Transactions of the American Mathematical Society 347, no. 1 (1995): 233. http://dx.doi.org/10.2307/2154797.

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8

Hu, Shou Chuan, and Nikolaos S. Papageorgiou. "Generalizations of Browder’s degree theory." Transactions of the American Mathematical Society 347, no. 1 (1995): 233–59. http://dx.doi.org/10.1090/s0002-9947-1995-1284911-6.

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9

Rosenberg, Harold, and Graham Smith. "Degree Theory of Immersed Hypersurfaces." Memoirs of the American Mathematical Society 265, no. 1290 (2020): 0. http://dx.doi.org/10.1090/memo/1290.

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10

Giaquinta, M., G. Modica, and J. Soucek. "Remarks on the Degree Theory." Journal of Functional Analysis 125, no. 1 (1994): 172–200. http://dx.doi.org/10.1006/jfan.1994.1121.

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11

Zakai, Moshe, and A. Süleyman ÜstÜnel. "Degree theory on Wiener space." Probability Theory and Related Fields 108, no. 2 (1997): 259–79. http://dx.doi.org/10.1007/s004400050109.

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12

Getzler, Ezra. "Degree theory for Wiener maps." Journal of Functional Analysis 68, no. 3 (1986): 388–403. http://dx.doi.org/10.1016/0022-1236(86)90105-9.

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13

Figueroa, Rubén, Rodrigo López Pouso, and Jorge Rodrı́guez–López. "Degree theory for discontinuous operators." Fixed Point Theory 22, no. 1 (2021): 141–56. http://dx.doi.org/10.24193/fpt-ro.2021.1.10.

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14

Balanov, Zolman, and Wiesław Krawcewicz. "Remarks on the equivariant degree theory." Topological Methods in Nonlinear Analysis 13, no. 1 (1999): 91. http://dx.doi.org/10.12775/tmna.1999.005.

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15

Sırma, Ali, and Sebaheddin Ṣevgin. "A Note on Coincidence Degree Theory." Abstract and Applied Analysis 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/370946.

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16

Ize, J., I. Massab{ò, and A. Vignoli. "Degree theory for equivariant maps. I." Transactions of the American Mathematical Society 315, no. 2 (1989): 433. http://dx.doi.org/10.1090/s0002-9947-1989-0935940-8.

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17

Väth, Martin. "Merging of degree and index theory." Fixed Point Theory and Applications 2006 (2006): 1–31. http://dx.doi.org/10.1155/fpta/2006/36361.

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18

Morris, Jr., Walter D. "LCP Degree Theory and Oriented Matroids." SIAM Journal on Matrix Analysis and Applications 15, no. 3 (1994): 995–1006. http://dx.doi.org/10.1137/s089547989222641x.

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19

Zainoulline, K. "Degree formula for connective K-theory." Inventiones mathematicae 179, no. 3 (2009): 507–22. http://dx.doi.org/10.1007/s00222-009-0221-7.

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20

Arumugam, S., and Latha Martin. "Degrees and degree sequence ofk-edged-critical graphs." Journal of Discrete Mathematical Sciences and Cryptography 14, no. 5 (2011): 421–29. http://dx.doi.org/10.1080/09720529.2011.10698346.

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21

Sklyarenko, Evgenii G. "The homological degree and Hopf's absolute degree." Sbornik: Mathematics 199, no. 11 (2008): 1687–713. http://dx.doi.org/10.1070/sm2008v199n11abeh003977.

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22

Epstein, Rachel. "Prime models of computably enumerable degree." Journal of Symbolic Logic 73, no. 4 (2008): 1373–88. http://dx.doi.org/10.2178/jsl/1230396926.

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AbstractWe examine the computably enumerable (c.e.) degrees of prime models of complete atomic decidable (CAD) theories. A structure has degree d if d is the degree of its elementary diagram. We show that if a CAD theory T has a prime model of c.e. degree c, then T has a prime model of strictly lower c.e. degree b, where, in addition, b is low (b′ = 0′), This extends Csima's result that every CAD theory has a low prime model. We also prove a density result for c.e. degrees of prime models. In particular, if c and d are c.e. degrees with d < c and c not low2 (c″ > 0″), then for any CAD th
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23

Rashid, M. H. M. "Topological degree theory in fuzzy metric spaces." Archivum Mathematicum, no. 2 (2019): 83–96. http://dx.doi.org/10.5817/am2019-2-83.

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24

CHEN, YUQING, and DONAL O'REGAN. "GENERALIZED DEGREE THEORY FOR SEMILINEAR OPERATOR EQUATIONS." Glasgow Mathematical Journal 48, no. 01 (2006): 65. http://dx.doi.org/10.1017/s0017089505002879.

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25

Kryszewski, W., B. Przeradzki, and S. Were{ński. "Remarks on approximation methods in degree theory." Transactions of the American Mathematical Society 316, no. 1 (1989): 97. http://dx.doi.org/10.1090/s0002-9947-1989-0929237-x.

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26

Sadeqi, I., and M. Salehi. "Fuzzy compact operators and topological degree theory." Fuzzy Sets and Systems 160, no. 9 (2009): 1277–85. http://dx.doi.org/10.1016/j.fss.2008.08.014.

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27

Al-Hussein, A., and K. D. Elworthy. "Infinite-dimensional degree theory and stochastic analysis." Journal of Fixed Point Theory and Applications 7, no. 1 (2010): 33–65. http://dx.doi.org/10.1007/s11784-010-0009-9.

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28

Csima, Barbara F. "Degree spectra of prime models." Journal of Symbolic Logic 69, no. 2 (2004): 430–42. http://dx.doi.org/10.2178/jsl/1082418536.

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Abstract.We consider the Turing degrees of prime models of complete decidable theories. In particular we show that every complete decidable atomic theory has a prime model whose elementary diagram is low. We combine the construction used in the proof with other constructions to show that complete decidable atomic theories have low prime models with added properties.If we have a complete decidable atomic theory with all types of the theory computable, we show that for every degree d with 0 < d < 0', there is a prime model with elementary diagram of degree d. Indeed, this is a corollary of
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29

Farshi, Mehdi, Bijan Davvaz, and Saeed Mirvakili. "Degree hypergroupoids associated with hypergraphs." Filomat 28, no. 1 (2014): 119–29. http://dx.doi.org/10.2298/fil1401119f.

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In this paper, we present some connections between graph theory and hyperstructure theory. In this regard, we construct a hypergroupoid by defining a hyperoperation on the set of degrees of vertices of a hypergraph and we call it a degree hypergroupoid. We will see that the constructed hypergroupoid is always anHv-group. We will investigate some conditions on a degree hypergroupoid to have a hypergroup. Further, we study the degree hypergroupoid associated with Cartesian product of hypergraphs. Finally, the fundamental relation and complete parts of a degree hypergroupoid are studied.
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30

Gustafson, Karl. "Normal degree." Numerical Linear Algebra with Applications 11, no. 7 (2004): 661–74. http://dx.doi.org/10.1002/nla.369.

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31

Temkin, Michael. "Topological transcendence degree." Journal of Algebra 568 (February 2021): 35–60. http://dx.doi.org/10.1016/j.jalgebra.2020.10.002.

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32

Conradi, Carsten, and Maya Mincheva. "Graph-theoretic analysis of multistationarity using degree theory." Mathematics and Computers in Simulation 133 (March 2017): 76–90. http://dx.doi.org/10.1016/j.matcom.2015.08.010.

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33

Roxburgh, I. W., and S. V. Vorontsov. "Asymptotic Theory of Low-Degree Stellar Acoustic Oscillations." International Astronomical Union Colloquium 137 (1993): 535–37. http://dx.doi.org/10.1017/s0252921100018364.

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AbstractWe extend the second-order asymptotic description developed by Tassoul (1980, 1990) to the forth order, taking into account both gravity perturbations and realistic (non-polytropic) structure of the stellar envelope. We examine the accuracy of the asymptotic description by the direct computations for a solar model.
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34

Chen, Yuqing, and Donal O'Regan. "Coincidence degree theory for mappings of classL − (S+)." Applicable Analysis 85, no. 8 (2006): 963–70. http://dx.doi.org/10.1080/00036810600792113.

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35

Neusel, Mara D. "Degree bounds—An invitation to postmodern invariant theory." Topology and its Applications 154, no. 4 (2007): 792–814. http://dx.doi.org/10.1016/j.topol.2005.07.014.

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36

Khidirov, Yu E. "Degree Theory for Variational Inequalities in Complementary Systems." Zeitschrift für Analysis und ihre Anwendungen 17, no. 2 (1998): 311–28. http://dx.doi.org/10.4171/zaa/824.

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37

Tan, Nguyen Xuan. "Some Applications of Degree Theory to Bifurcation Problems." Zeitschrift für Analysis und ihre Anwendungen 5, no. 4 (1986): 347–66. http://dx.doi.org/10.4171/zaa/203.

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38

Gowda, M. Seetharama. "Applications of Degree Theory to Linear Complementarity Problems." Mathematics of Operations Research 18, no. 4 (1993): 868–79. http://dx.doi.org/10.1287/moor.18.4.868.

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39

Rybicki, Sŀawomir. "Periodic solutions of vibrating strings. Degree theory approach." Annali di Matematica Pura ed Applicata 179, no. 1 (2001): 197–214. http://dx.doi.org/10.1007/bf02505955.

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40

Wehrheim, Katrin, and Chris Woodward. "Floer field theory for coprime rank and degree." Indiana University Mathematics Journal 69, no. 6 (2020): 2035–88. http://dx.doi.org/10.1512/iumj.2020.69.8018.

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41

Li, Congming, and John Villavert. "A degree theory framework for semilinear elliptic systems." Proceedings of the American Mathematical Society 144, no. 9 (2016): 3731–40. http://dx.doi.org/10.1090/proc/13166.

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42

Pontius, J. S. "Degree-days Undone: A New Theory of Development." Bulletin of the Entomological Society of America 31, no. 2 (1985): 40–42. http://dx.doi.org/10.1093/besa/31.2.40.

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43

Ishibashi, Yoshihiro, and Ekhard Salje. "A Theory of Ferroelectric 90 Degree Domain Wall." Journal of the Physical Society of Japan 71, no. 11 (2002): 2800–2803. http://dx.doi.org/10.1143/jpsj.71.2800.

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44

Maxwell, T. W., and Robyn Smyth. "Higher degree research supervision: from practice toward theory." Higher Education Research & Development 30, no. 2 (2011): 219–31. http://dx.doi.org/10.1080/07294360.2010.509762.

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45

Kien, B. T., M. M. Wong, N. C. Wong, and J. C. Yao. "Degree theory for generalized variational inequalities and applications." European Journal of Operational Research 192, no. 3 (2009): 730–36. http://dx.doi.org/10.1016/j.ejor.2007.11.032.

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46

GREENBERG, NOAM, RICHARD A. SHORE, and THEODORE A. SLAMAN. "THE THEORY OF THE METARECURSIVELY ENUMERABLE DEGREES." Journal of Mathematical Logic 06, no. 01 (2006): 49–68. http://dx.doi.org/10.1142/s0219061306000505.

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Sacks [23] asks if the metarecursively enumerable degrees are elementarily equivalent to the r.e. degrees. In unpublished work, Slaman and Shore proved that they are not. This paper provides a simpler proof of that result and characterizes the degree of the theory as [Formula: see text] or, equivalently, that of the truth set of [Formula: see text].
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47

Kuske, Dietrich, and Markus Lohrey. "Automatic structures of bounded degree revisited." Journal of Symbolic Logic 76, no. 4 (2011): 1352–80. http://dx.doi.org/10.2178/jsl/1318338854.

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AbstractThe first-order theory of a string automatic structure is known to be decidable, but there are examples of string automatic structures with nonelementary first-order theories. We prove that the first-order theory of a string automatic structure of bounded degree is decidable in doubly exponential space (for injective automatic presentations, this holds even uniformly). This result is shown to be optimal since we also present a string automatic structure of bounded degree whose first-order theory is hard for 2EXPSPACE. We prove similar results also for tree automatic structures. These f
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48

He, Hujun, Chong Tian, Gang Jin, and Le An. "An Improved Uncertainty Measure Theory Based on Game Theory Weighting." Mathematical Problems in Engineering 2019 (May 27, 2019): 1–8. http://dx.doi.org/10.1155/2019/3893129.

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In the application of uncertainty measure theory, the determination method of index weight mainly includes the subjective weight determination method and the objective weight determination method. The subjective weight determination method has the disadvantages affected by the subjective preference of the decision-maker. The objective weight determination method often ignores the participation degree of the decision-maker, and when using the uncertainty measure evaluation model to perform multi-index classification evaluation, the credible degree recognition criterion is often used as the attr
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49

BARLOW, T. E. "Degree Zero of History." Comparative Literature 53, no. 4 (2001): 404–25. http://dx.doi.org/10.1215/-53-4-404.

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50

Drensky, Vesselin, and Jie-Tai Yu. "Degree estimate for commutators." Journal of Algebra 322, no. 7 (2009): 2321–34. http://dx.doi.org/10.1016/j.jalgebra.2009.07.018.

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