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Journal articles on the topic 'Affine'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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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 dec

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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 (1995): 35–40. http://dx.doi.org/10.1007/bf03322267.

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6

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 tr

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7

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

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8

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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9

ZHAO, CHANG-JIAN. "The affine Orlicz log-Minkowki inequality." Carpathian Journal of Mathematics 39, no. 1 (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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10

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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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 (2010): 163–81. http://dx.doi.org/10.1016/j.spa.2009.10.012.

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12

Dillen, Franki, та Luc Vrancken. "3-dimensional affine hypersurfaces in ℝ4 with parallel cubic form". Nagoya Mathematical Journal 124 (грудень 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

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13

Zhao, Chang-Jian. "The φ-mixed affine surface areas". Filomat 38, № 4 (2024): 1143–52. http://dx.doi.org/10.2298/fil2404143z.

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In the paper, our main aim is to introduce a new ?-mixed affine surface area ??,p(K, L) of convex bodies, which obeys classical basic properties. The new affine geometric quantity in special case yields the classical Lp-affine surface area ?p(K), Lp-mixed affine surface area ?p(K, L) and the newly established Lpq-mixed affine surface area ?p,q(K, L), respectively. As an application, we establish a ?-Minkowski inequality for the ?-mixed affine surface area, which follows the classical Minkowski inequality for mixed affine surface area ??1(K, L), Lp-Minkowski inequality for Lp-affine surface are

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14

Ostos Cordero, Benito Leonardo. "Extensions in affine spaces of bilinear applications, differentiable actions, and tensors." Selecciones Matemáticas 11, no. 01 (2024): 42–55. http://dx.doi.org/10.17268/sel.mat.2024.01.04.

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This article studies several generalizations in affine spaces. First, the notion of affine maps is extended to bilinear maps defined in affine spaces, referred to as affine bilinear maps, and symmetric and antisymmetric affine bilinear forms are examined. Next, differentiable actions of a Lie group on affine spaces are defined, analyzing their isotropy group, orbit space, and set of fixed points. Finally, the notion of tensor product between vector spaces is extended to tensor product between affine spaces.

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15

Soekarta, Rendra, and Miftah Sigit. "Implementation of Affine Group Algebra on Digital Image Security." Mobile and Forensics 4, no. 2 (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 bije

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16

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

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17

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

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18

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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19

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

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20

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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21

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

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22

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

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23

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

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24

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

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25

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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26

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

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27

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

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28

Wijayanti, Dian Eka. "BEBERAPA MODIFIKASI PADA ALGORITMA KRIPTOGRAFI AFFINE CIPHER." Journal of Fundamental Mathematics and Applications (JFMA) 1, no. 2 (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 se

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29

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

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30

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

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31

Astuti, Lestari Fidi, Kiswara Agung Santoso, and Ahmad Kamsyakawuni. "PENGAMANAN POLYALPHABETIC DENGAN AFFINE CIPHER BERDASARKAN BARISAN FIBONACCI." Majalah Ilmiah Matematika dan Statistika 19, no. 2 (2019): 95. http://dx.doi.org/10.19184/mims.v19i2.17274.

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Affine cipher is a classic cryptographic algorithm substitution technique. Substitution technique is the encryption process for every character in the plaintext will be subtituted by another character. Affine cipher uses two types of keys. Each character of plaintext to be encrypted substituted by the same key. This research discusses about modify one of the key affine cipher, to produce a different key that will be substituted with each plaintext character. Key modifications are made by the Fibonacci sequence rules. This study also compares affine cipher and key modification affine cipher by

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32

Jelonek, Włodzimierz. "Characterization of affine ruled surfaces." Glasgow Mathematical Journal 39, no. 1 (1997): 17–20. http://dx.doi.org/10.1017/s0017089500031852.

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The aim of this paper is to give certain conditions characterizing ruled affine surfaces in terms of the Blaschke structure (∇, h, S) induced on a surface (M, f) in ℝ3. The investigation of affine ruled surfaces was started by W. Blaschke in the beginning of our century (see [1]). The description of affine ruled surfaces can be also found in the book [11], [3] and [7]. Ruled extremal surfaces are described in [9]. We show in the present paper that a shape operator S is a Codazzi tensor with respect to the Levi-Civita connection ∇ of affine metric h if and only if (M, f) is an affine sphere or

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33

Ecker, Jürgen. "Affine Completeness of Generalised Dihedral Groups." Canadian Mathematical Bulletin 49, no. 3 (2006): 347–57. http://dx.doi.org/10.4153/cmb-2006-035-8.

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AbstractIn this paper we study affine completeness of generalised dihedral groups. We give a formula for the number of unary compatible functions on these groups, and we characterise for every k ∈ N the k-affine complete generalised dihedral groups. We find that the direct product of a 1-affine complete group with itself need not be 1-affine complete. Finally, we give an example of a nonabelian solvable affine complete group. For nilpotent groups we find a strong necessary condition for 2-affine completeness.

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34

Nasution, Adnan Buyung. "Modifikasi Algoritma Affine Cipher untuk Mengamankan Data." Jurnal Teknologi Informasi 4, no. 2 (2020): 377–82. http://dx.doi.org/10.36294/jurti.v4i2.1742.

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Abstract - The Affine Cipher algorithm is part of classical cryptography which is a method of substitution in data security, namely shifting the plaintext by multiplying the plaintext value with a key with a prime number value. The weakness of the Affine Cipher Algorithm is its easy to use key. Therefore, the author wants to modify the Affine Cipher algorithm by dividing the plaintext into blocks with the length of the specified key (k). After that, change the position of each character by reversing its position and then do the Affine Cipher algorithm process. This algorithm modification can h

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35

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

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36

POPŁAWSKI, NIKODEM J. "F(R) GRAVITY IN PURELY AFFINE FORMULATION." International Journal of Modern Physics A 23, no. 12 (2008): 1891–901. http://dx.doi.org/10.1142/s0217751x08039773.

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The purely affine, metric-affine and purely metric formulation of general relativity are dynamically equivalent and the relation between them is analogous to the Legendre relation between the Lagrangian and Hamiltonian dynamics. We show that one cannot construct a dynamically equivalent, purely affine Lagrangian from a metric-affine or metric F(R) Lagrangian, nonlinear in the curvature scalar. Thus the equivalence between the purely affine picture and the two other formulations does not hold for metric-affine and metric theories of gravity with a nonlinear dependence on the curvature, i.e. F(R

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37

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

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38

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

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39

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

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40

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

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41

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

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42

VOLOVICH, I. V. "AFFINE STRINGS." Modern Physics Letters A 08, no. 19 (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

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43

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

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44

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

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45

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

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46

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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47

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

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48

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

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49

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

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50

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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