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Journal articles on the topic 'Affine'

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1

Song, Su Luo. "The Structure and Properties of a Class of Affine Subspaces and Applications in Mechatronics Science." Applied Mechanics and Materials 321-324 (June 2013): 2385–88. http://dx.doi.org/10.4028/www.scientific.net/amm.321-324.2385.

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Information science focuses on understanding problems from the perspective of the stakeholders involved and then applying information and other technologies as needed. We show that every affine subspace is the orthogonal direct sum of at most three purely non-reducing subspaces. This result is obtained through considering the basicquestion as to when the orthogonal complement of an afffine subspace in another one is still affine subspace. Motivated by the fundamental question as to whethor every affine subspace is singly-generated wavelet frame, we prove that every affine sub -space can be decomposed into the direct sum of a singly-generated afffine subspace.
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2

Mazėtis, Edmundas. "Apie Kavagučio erdvių geometriją." Lietuvos matematikos rinkinys 41 (December 17, 2001): 239–43. http://dx.doi.org/10.15388/lmr.2001.34498.

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3

Mazėtis, Edmundas. "Apie trečios eilės liestinių sluoksniuočių geometriją." Lietuvos matematikos rinkinys 40 (December 18, 2000): 155–60. http://dx.doi.org/10.15388/lmr.2000.35083.

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Diese Arbcit ist der Theorie der lineare und affine Zussanunenhängen in Tangentbündeln der dritter Ordnung gewidmet. Beweisst man, dass linear Zussammenhang drei Objekte affiner Zus­sammenhängen induziert, findet man die strukturische Gleichungen und Krümmungsobjekten die­ser Bündeln.
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4

Karger, Adolf. "Affine Darboux motions." Czechoslovak Mathematical Journal 35, no. 3 (1985): 355–72. http://dx.doi.org/10.21136/cmj.1985.102026.

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5

Dillen, Franki, and Luc Vrancken. "Affine Surfaces which are Both Affine Harmonic and Affine Maximal." Results in Mathematics 27, no. 1-2 (March 1995): 35–40. http://dx.doi.org/10.1007/bf03322267.

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6

Podestá, Fabio. "Affine Transformations in Affine Differential Geometry." Results in Mathematics 16, no. 1-2 (August 1989): 155–61. http://dx.doi.org/10.1007/bf03322651.

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7

Tsemo, Aristide. "Affine Anosov Diffeomorphims of Affine Manifolds." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–5. http://dx.doi.org/10.1155/2008/673534.

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We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds.
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8

Wang, Shi Heng. "Semi-Orthogonal Parseval Wavelets Frames on Local Fields and Applications in Manufacturing Science." Advanced Materials Research 712-715 (June 2013): 2464–68. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.2464.

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Manufacturing science focuses on understanding problems from the perspective of the stakeholders involved and then applying manufacturing science as needed. We investigate semi-orthogonal frame wavelets and Parseval frame wavelets in with a dilation factor. We show that every affine subspace is the orthogonal direct sum of at most three purely non-reducing subspaces. This result is obtained through considering the basicquestion as to when the orthogonal complement of an afffine subspace in another one is still affine subspace.The definition of multiple pseudofames for subspaces with integer translation is proposed. The notion of a generalized multiresolution structure of is also introduced. The construction of a generalized multireso-lution structure of Paley-Wiener subspaces of is investigated.
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9

Švec, Alois. "On the affine normal." Czechoslovak Mathematical Journal 40, no. 2 (1990): 332–42. http://dx.doi.org/10.21136/cmj.1990.102385.

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10

ZHAO, CHANG-JIAN. "The affine Orlicz log-Minkowki inequality." Carpathian Journal of Mathematics 39, no. 1 (July 30, 2022): 293–302. http://dx.doi.org/10.37193/cjm.2023.01.20.

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In this paper, we establish an affine Orlicz log-Minkowki inequality for the affine quermassintegrals by introducing new concepts of affine measures and Orlicz mixed affine measures, and using the newly established Orlicz affine Minkowski inequality for the affine quermassintegrals. The affine Orlicz log-Minkowski inequality in special case yields $L_{p}$-affine log-Minkowski inequality. The affine log-Minkowski inequality is also derived.
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11

Kallsen, Jan, and Johannes Muhle-Karbe. "Exponentially affine martingales, affine measure changes and exponential moments of affine processes." Stochastic Processes and their Applications 120, no. 2 (February 2010): 163–81. http://dx.doi.org/10.1016/j.spa.2009.10.012.

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12

Magid, Martin A., and Patrick J. Ryan. "Affine 3-Spheres with Constant Affine Curvature." Transactions of the American Mathematical Society 330, no. 2 (April 1992): 887. http://dx.doi.org/10.2307/2153940.

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13

Chari, Vyjayanthi, and Andrew Pressley. "Quantum affine algebras and affine Hecke algebras." Pacific Journal of Mathematics 174, no. 2 (June 1, 1996): 295–326. http://dx.doi.org/10.2140/pjm.1996.174.295.

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14

Verstraelen, Leopold, and Luc Vrancken. "Affine variation formulas and affine minimal surfaces." Michigan Mathematical Journal 36, no. 1 (1989): 77–93. http://dx.doi.org/10.1307/mmj/1029003883.

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15

Magid, Martin A., and Patrick J. Ryan. "Affine $3$-spheres with constant affine curvature." Transactions of the American Mathematical Society 330, no. 2 (February 1, 1992): 887–901. http://dx.doi.org/10.1090/s0002-9947-1992-1062193-5.

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16

Cui, Weideng. "Affine cellularity of affine Yokonuma–Hecke algebras." Journal of Algebra 496 (February 2018): 292–314. http://dx.doi.org/10.1016/j.jalgebra.2017.10.014.

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17

Muthiah, Dinakar, and Peter Tingley. "Affine PBW bases and affine MV polytopes." Selecta Mathematica 24, no. 5 (September 14, 2018): 4781–810. http://dx.doi.org/10.1007/s00029-018-0436-9.

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18

Vrancken, Luc, An-Min Li, and Udo Simon. "Affine spheres with constant affine sectional curvature." Mathematische Zeitschrift 206, no. 1 (January 1991): 651–58. http://dx.doi.org/10.1007/bf02571370.

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19

Yang, Dan, and Yu Fu. "On affine translation surfaces in affine space." Journal of Mathematical Analysis and Applications 440, no. 2 (August 2016): 437–50. http://dx.doi.org/10.1016/j.jmaa.2016.03.066.

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20

Cui, Weideng. "Affine cellularity of affine $q$-Schur algebras." Proceedings of the American Mathematical Society 144, no. 11 (July 22, 2016): 4663–72. http://dx.doi.org/10.1090/proc/13261.

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21

WOLAK, ROBERT A. "TRANSVERSELY AFFINE FOLIATIONS COMPARED WITH AFFINE MANIFOLDS." Quarterly Journal of Mathematics 41, no. 3 (1990): 369–84. http://dx.doi.org/10.1093/qmath/41.3.369.

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22

Deng, Bangming, and Guiyu Yang. "Affine Quasi-Heredity of Affine Schur Algebras." Algebras and Representation Theory 19, no. 2 (November 18, 2015): 435–62. http://dx.doi.org/10.1007/s10468-015-9582-3.

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23

Gorokhovik, Valentin V. "Representations of Affine Multifunctions by Affine Selections." Set-Valued Analysis 16, no. 2-3 (March 4, 2008): 185–98. http://dx.doi.org/10.1007/s11228-008-0070-3.

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24

Dillen, Franki, and Luc Vrancken. "3-dimensional affine hypersurfaces in ℝ4 with parallel cubic form." Nagoya Mathematical Journal 124 (December 1991): 41–53. http://dx.doi.org/10.1017/s0027763000003767.

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In this paper, we study 3-dimensional locally strongly convex affine hypersurfaces in ℝ4. Since the publication of Blaschke’s book [B] in the early twenties, it is well-known that on a nondegenerate affine hyper-surface M there exists a canonical transversal vector field called the affine normal. The second fundamental form associated to the affine normal is called the affine metric. In the special case that M is locally strongly convex, this affine metric is a Riemannian metric. Also, using the affine normal, by the Gauss formula one can introduce an affine connection on M, called the induced connection ∇. So on M, we can consider two connections, namely the induced affine connection ∇ and the Levi Civita connection of the affine metric h.
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25

Behera, Biswaranjan, and Qaiser Jahan. "Affine, quasi-affine and co-affine frames on local fields of positive characteristic." Mathematische Nachrichten 290, no. 14-15 (May 22, 2017): 2154–69. http://dx.doi.org/10.1002/mana.201300348.

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26

Soekarta, Rendra, and Miftah Sigit. "Implementation of Affine Group Algebra on Digital Image Security." Mobile and Forensics 4, no. 2 (February 15, 2023): 137–46. http://dx.doi.org/10.12928/mf.v4i2.5992.

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The concept of group theory has been applied to digital image security using the DES algorithm and wavelet transform. Affine Cipher algorithm was a symmetric cryptographic algorithm. This was initiated for studying further the implementation of the Affine group on the Affine transformation. More over, digital image used the Affine algorithm in security. The purpose of this paper was described the implementation of the existence of an Affine Group in the Affine transformation carried out in digital image cryptography. The concept of maintaining geometric shapes in Affinetransformations and bijective nature of each Affine transformation could be formed an Affine group.
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27

Wijayanti, Dian Eka. "BEBERAPA MODIFIKASI PADA ALGORITMA KRIPTOGRAFI AFFINE CIPHER." Journal of Fundamental Mathematics and Applications (JFMA) 1, no. 2 (November 30, 2018): 64. http://dx.doi.org/10.14710/jfma.v1i2.19.

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Affine Cipher Cryptography Technique is one of the techniques in classical cryptography which is quite simple so it is very vulnerable to cryptanalysis. Affine cipher's advantage is having an algorithm that can be modified with various techniques. The modifications that can be made to Affine Cipher is to combine Affine cipher's algorithm with other ciphers, replace Affine cipher's key with various functions and matrices and expand the space for plaintext and ciphertexts on Affine cipher. Affine cipher can also be applied to the stream cipher as a keystream generator. This research discusses several modifications of Affine cipher algorithm and performs several other modifications. These modifications are combining Affine Chiper and Vigenere Cipher on , combining Affine, Vigenere and Hill Cipher with invertible matrix applications on . Furthermore, a comparison of the three modifications will be carried out to obtain a new cryptographic method that is more resilient to the cryptanalysis process.
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28

Dillen, Franki, Luc Vrancken, and Sahnur Yaprak. "Affine hypersurfaces with parallel cubic form." Nagoya Mathematical Journal 135 (September 1994): 153–64. http://dx.doi.org/10.1017/s0027763000005006.

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As is well known, there exists a canonical transversal vector field on a non-degenerate affine hypersurface M. This vector field is called the affine normal. The second fundamental form associated to this affine normal is called the affine metric. If M is locally strongly convex, then this affine metric is a Riemannian metric. And also, using the affine normal and the Gauss formula one can introduce an affine connection ∇ on M which is called the induced affine connection. Thus there are in general two different connections on M: one is the induced connection ∇ and the other is the Levi Civita connection of the affine metric h. The difference tensor K is defined by K(X, Y) = KXY — ∇XY — XY. The cubic form C is defined by C = ∇h and is related to the difference tensor by.
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29

Aydinlioğlu, Bariş, and Eric Bach. "Affine Relativization." ACM Transactions on Computation Theory 10, no. 1 (January 30, 2018): 1–67. http://dx.doi.org/10.1145/3170704.

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30

von Arnold, Hans-Joachim. "Affine Relative." Results in Mathematics 12, no. 1-2 (August 1987): 1–26. http://dx.doi.org/10.1007/bf03322375.

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31

Coxeter, H. S. M. "Affine regularity." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 62, no. 1 (December 1992): 249–53. http://dx.doi.org/10.1007/bf02941630.

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32

Cuypers, Hans. "Affine grassmannians." Journal of Combinatorial Theory, Series A 70, no. 2 (May 1995): 289–304. http://dx.doi.org/10.1016/0097-3165(95)90094-2.

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33

Kelly-Bootle, Stan. "Affine Romance." Queue 6, no. 5 (September 2008): 61–63. http://dx.doi.org/10.1145/1454456.1454473.

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34

VOLOVICH, I. V. "AFFINE STRINGS." Modern Physics Letters A 08, no. 19 (June 21, 1993): 1827–34. http://dx.doi.org/10.1142/s0217732393001550.

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A new model of bosonic strings is considered. An action of the model is the sum of the standard string action and a term describing an interaction of a metric with a linear (affine) connection. The Lagrangian of this interaction is an arbitrary analytic function f(R) of the scalar curvature. This is a classically integrable model. The space of classical solutions of the theory consists of sectors with constant curvature. In each sector the equations of motion reduce to the standard string equations and to an additional constant curvature equation for the linear connection. A bifurcation in the space of all Lagrangians takes place. Quantization of the model is briefly discussed. In a quasiclassical approximation one gets the standard string model with a fluctuating cosmological constant. The Lagrangian f(R), like Morse function, governs transitions between manifolds with different topologies.
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35

Kokarev, V. N. "Affine cylinders." Mathematical Notes 96, no. 5-6 (November 2014): 686–89. http://dx.doi.org/10.1134/s0001434614110078.

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36

Dubrulle, B. "Affine turbulence." European Physical Journal B 13, no. 1 (January 2000): 1–4. http://dx.doi.org/10.1007/s100510050001.

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37

Piziak, R., and P. L. Odell. "Affine projections." Computers & Mathematics with Applications 48, no. 1-2 (July 2004): 177–90. http://dx.doi.org/10.1016/j.camwa.2004.07.001.

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38

Blumenthal, Robert A. "Affine submersions." Annals of Global Analysis and Geometry 3, no. 3 (1985): 275–87. http://dx.doi.org/10.1007/bf00130481.

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39

Basri, Ronen. "Paraperspective ? affine." International Journal of Computer Vision 19, no. 2 (August 1996): 169–79. http://dx.doi.org/10.1007/bf00055803.

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40

Elices, Alberto. "Affine concatenation." Wilmott Journal 1, no. 3 (June 2009): 155–62. http://dx.doi.org/10.1002/wilj.13.

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41

Li, Cece. "Affine hypersurfaces with parallel difference tensor relative to affineα-connection." Journal of Geometry and Physics 86 (December 2014): 81–93. http://dx.doi.org/10.1016/j.geomphys.2014.07.018.

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42

Kalenda, Ondřej F. K., and Jiří Spurný. "Preserving affine baire classes by perfect affine maps." Quaestiones Mathematicae 39, no. 3 (December 14, 2015): 351–62. http://dx.doi.org/10.2989/16073606.2015.1073813.

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43

Haddad, J., C. H. Jiménez, and M. Montenegro. "From affine Poincaré inequalities to affine spectral inequalities." Advances in Mathematics 386 (August 2021): 107808. http://dx.doi.org/10.1016/j.aim.2021.107808.

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44

Kleshchev, Alexander S. "Affine highest weight categories and affine quasihereditary algebras." Proceedings of the London Mathematical Society 110, no. 4 (March 3, 2015): 841–82. http://dx.doi.org/10.1112/plms/pdv004.

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45

Kriele, Marcus, and Luc Vrancken. "Lorentzian affine hyperspheres with constant affine sectional curvature." Transactions of the American Mathematical Society 352, no. 4 (July 26, 1999): 1581–99. http://dx.doi.org/10.1090/s0002-9947-99-02379-x.

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46

Bownik, Marcin, and Jakob Lemvig. "Affine and quasi-affine frames for rational dilations." Transactions of the American Mathematical Society 363, no. 04 (April 1, 2011): 1887. http://dx.doi.org/10.1090/s0002-9947-2010-05200-6.

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47

Görtz, Ulrich, Thomas J. Haines, Robert E. Kottwitz, and Daniel C. Reuman. "Affine Deligne–Lusztig varieties in affine flag varieties." Compositio Mathematica 146, no. 5 (July 7, 2010): 1339–82. http://dx.doi.org/10.1112/s0010437x10004823.

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AbstractThis paper studies affine Deligne–Lusztig varieties in the affine flag manifold of a split group. Among other things, it proves emptiness for certain of these varieties, relates some of them to those for Levi subgroups, and extends previous conjectures concerning their dimensions. We generalize the superset method, an algorithmic approach to the questions of non-emptiness and dimension. Our non-emptiness results apply equally well to the p-adic context and therefore relate to moduli of p-divisible groups and Shimura varieties with Iwahori level structure.
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48

Klimčík, Ctirad. "Affine Poisson and affine quasi-Poisson T-duality." Nuclear Physics B 939 (February 2019): 191–232. http://dx.doi.org/10.1016/j.nuclphysb.2018.12.008.

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49

Szendrei, �. "Maximal non-affine reducts of simple affine algebras." Algebra Universalis 34, no. 1 (March 1995): 144–74. http://dx.doi.org/10.1007/bf01200496.

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50

Rittatore, Alvaro. "Algebraic monoids with affine unit group are affine." Transformation Groups 12, no. 3 (August 20, 2007): 601–5. http://dx.doi.org/10.1007/s00031-006-0049-9.

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