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1

Al-Jibbouri, Hamid. "Variational Calculation of Lithium-Like Ions from B+2 to N+4 Using β-Type Roothaan–Hartree–Fock Wavefunction". Ukrainian Journal of Physics 66, № 8 (2021): 684. http://dx.doi.org/10.15407/ujpe66.8.684.

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Within the KaKB, KaLa, and KBLa shells in the position space, the properties of a series of three-electron systems, for instance, B+2, C+3, and N+4 ions, have been studied. This required the partitioning of the two-particle space-spin density and was explicit for the Hartree–Fock description which have been proposed by considering a basis set based on single-zeta B-type orbitals (BTOs). The one- and two-body radial electronic densities R(r1), R(r1, r2), moments ⟨rn1⟩, X-ray form factor F(s), nucleus density R(0), nuclear magnetic shielding constant qd, and the diamagnetic susceptibility бs in
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2

Dalal, Aseem, and Narendra Govil. "A note on sharpening of a theorem of Ankeny and Rivlin." Applicable Analysis and Discrete Mathematics, no. 00 (2021): 12. http://dx.doi.org/10.2298/aadm200206012d.

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Let p(z) = ?n?=0 a?z? be a polynomial of degree n, M(p,R) := max|z|=R?0 |p(z)|, and M(p,1) := ||p||. Then according to a well-known result of Ankeny and Rivlin, we have for R ? 1, M(p,R) ? (Rn+1/2) ||p||. This inequality has been sharpened among others by Govil, who proved that for R ? 1, M(p,R) ? (Rn+1/2) ||p||-n/2 (||p||2-4|an|2/||p||) {(R-1)||p||/||p||+2|an|- ln (1+ (R-1)||p||/||p||+2|an|)}. In this paper, we sharpen the above inequality of Govil, which in turn sharpens inequality of Ankeny and Rivlin. We present our result in terms of the LerchPhi function ?(z,s,a), implemented in Wolfram'
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3

Ecemis, Ulku Ozturan. "A Comparison of Cognitive Demand Levels of Tasks In 5th Grade Mathematics Textbook Used in Singapore, the United States, and Turkey." European Journal of Multidisciplinary Studies 5, no. 1 (2017): 469. http://dx.doi.org/10.26417/ejms.v5i1.p469-469.

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The purpose of this study is to compare the cognitive demand levels of activities in 5th grade mathematic textbooks used in Singapore, the United States, and Turkey. These countries were chosen based on their varying levels of success in the Trends in International Mathematics and Science Study (TIMSS). The content analyzed was limited to the topics encountered in the 8th grade TIMSS. Qualitative methods were utilized in collecting and analyzing the data. The tasks were coded according to four cognitive demand levels; lower-level demands of memorization and procedures without connections, and
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4

Robertson, Sally-Ann, and Mellony Graven. "Language as an including or excluding factor in mathematics teaching and learning." Mathematics Education Research Journal 32, no. 1 (2019): 77–101. http://dx.doi.org/10.1007/s13394-019-00302-0.

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AbstractThis article explores the power of language to either include or exclude certain groups of students from genuine opportunities for mathematical sense-making. The substantial increase worldwide in the number of students learning mathematics through a language other than their primary language makes this a particularly urgent issue. This paper focuses on the South African situation, where, because English is widely perceived as the language of opportunity, it is, by grade 4, overwhelmingly the chosen language of learning and teaching. The epistemological and pedagogical consequences of t
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5

SURYADI. "PENGARUH PENDEKATAN PEMBELAJARAN DAN GAYA KOGNITIF TERHADAP HASIL BELAJAR MATEMATIKA." JPUD - Jurnal Pendidikan Usia Dini 11, no. 1 (2017): 1. http://dx.doi.org/10.21009/jpud.111.01.

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: The purpose of this study is to determine the effect of learning approach and cognitive style on learning outcomes in mathematics studies class 3 elementary students, This study is uses design by factorial 2 x 2. The samples are consisted of 69 student. The technique of data analysis are two ways analysis of variance (ANAVA) and followed by Tuckey's test for significance level of α = 0, 05. To test the normality of the data using Lilliefors test and to test the homogeneity of the data using the Bartlett test. Research results obtained are: 1) the results of mathematics studies in the group o
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Conner, P. E., and Jurgen Hurrelbrink. "The 4-Rank of K2(0)." Canadian Journal of Mathematics 41, no. 5 (1989): 932–60. http://dx.doi.org/10.4153/cjm-1989-043-0.

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Let 0F) denote the integers of an algebraic number field F. Classically the Dirichlet Units Theorem gives us the structure of the K-group K1(0F). Then recently the structure of the K-group K3(0F) was found by Merkurjev and Suslin, [11]. But as of now we have only limited information about the structure of the tame kernel K2(0F).
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7

Rasiman, Rasiman. "LEVELING OF CRITICAL THINKING ABILITIES OF STUDENTS OF MATHEMATICS EDUCATION IN MATHEMATICAL PROBLEM SOLVING." Journal on Mathematics Education 6, no. 1 (2015): 40–52. http://dx.doi.org/10.22342/jme.6.1.1941.40-52.

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This research aims to determine the leveling of critical thinking abilities of students of mathematics education in mathematical problem solving. It includes qualitative-explorative study that conducted at University of PGRI Semarang. The generated data in the form of information obtained problem solving question and interview guides. The results are: (1) students who are not critical (LCTA-0) only able to identify the given facts clearly, (2) students are less critical (LCTA-1), students can identify the facts in problems, (3) critical student (LCTA-2), students can identify the fact in probl
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8

Saxena, Anjula. "(0, 1, 2, 4) Interpolation byG-splines." Periodica Mathematica Hungarica 21, no. 4 (1990): 261–71. http://dx.doi.org/10.1007/bf02352691.

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9

Huang, Yan, and ShengJian Wu. "Stable Teichmüller mappings of type (0, 4)." Science China Mathematics 54, no. 7 (2011): 1379–88. http://dx.doi.org/10.1007/s11425-011-4202-0.

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10

Widada, Wahyu. "PROFILE OF COGNITIVE STRUCTURE OF STUDENTS IN UNDERSTANDING THE CONCEPT OF REAL ANALYSIS." Infinity Journal 5, no. 2 (2016): 83. http://dx.doi.org/10.22460/infinity.v5i2.215.

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The purpose of this research is to describe proil cognitive structure of students in understanding the concept of real analysis. This research is part of the research development of the theory of cognitive structure of students Mathematics Education Program at the University of Bengkulu. The results of this research are: 1)there are seven models decompositions of genetic students mathematics education reviewed based on the SRP Model about the concepts of Real Analysis namely Pra-Intra Level, Level intra, Level semi-inter, Level inter, Level semi-trans, Trans Level, level and Extended-Trans (on
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11

Widada, Wahyu. "PROFILE OF COGNITIVE STRUCTURE OF STUDENTS IN UNDERSTANDING THE CONCEPT OF REAL ANALYSIS." Infinity Journal 5, no. 2 (2016): 83. http://dx.doi.org/10.22460/infinity.v5i2.p83-98.

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The purpose of this research is to describe proil cognitive structure of students in understanding the concept of real analysis. This research is part of the research development of the theory of cognitive structure of students Mathematics Education Program at the University of Bengkulu. The results of this research are: 1)there are seven models decompositions of genetic students mathematics education reviewed based on the SRP Model about the concepts of Real Analysis namely Pra-Intra Level, Level intra, Level semi-inter, Level inter, Level semi-trans, Trans Level, level and Extended-Trans (on
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12

Widayanti, Evi, and Siti Aisyah. "PENERAPAN MODEL PEMBELAJARAN TREFFINGER BERBANTUKAN SOFTWARE SPARKOL VIDEOSCRIBE UNTUK MENINGKATKAN PEMAHAMAN MATEMATIS SISWA." Kalamatika: Jurnal Pendidikan Matematika 4, no. 2 (2019): 117–28. http://dx.doi.org/10.22236/kalamatika.vol4no2.2019pp117-128.

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This study aims to determine the mathematical understanding of students of class X of SMA Muhammadiyah 4 Surabaya. From the result of the test, it is known that the mathematical understanding of class X IPA of SMA Muhammadiyah 4 Surabaya is low. To overcome this, applied treffinger learning model with software sparkol videoscribe. The research method used is a Class Action Research (PTK) with a collaborative pattern. From this study, it can be seen that there is an average increase from 48,62 (low) to 80,34 (good). In addition, it can be known that the ability to reiterate the concept learned
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13

Wantika, Restu Ria. "ANALISIS KEMAMPUAN KOMUNIKASI MATEMATIS MAHASISWA PADA MATERI GEOMETRI SUDUT." Buana Matematika : Jurnal Ilmiah Matematika dan Pendidikan Matematika 7, no. 2: (2018): 69–74. http://dx.doi.org/10.36456/buana_matematika.7.2:.1043.69-74.

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Purpose done research to know how mathematical communication ability of student either in writing or orally.The type of this research is descriptive research with qualitative approach. The subjects of the research are S-1 students of Mathematics Education Department of UNIPA Surabaya who are taking angle geometry courses that have good mathematical communication ability, good enough and less good that has been predicted by mathematics teacher in that class. Methods of data collection used were observations during learning, tests and in-depth interviews. Research instruments are diagnostic test
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14

Martin-Deschamps, Mireille, and Ragni Piene. "Arithmetically cohen-macaulay curves inP 4 of degree 4 and genus 0." Manuscripta Mathematica 93, no. 1 (1997): 391–408. http://dx.doi.org/10.1007/bf02677480.

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15

Setiadi, Nanang. "The Use of Realistic Mathematics Education (RME) to Help Indonesian 5th-Grade Students to Learn Multiplication and Division." Southeast Asian Mathematics Education Journal 10, no. 1 (2020): 41–53. http://dx.doi.org/10.46517/seamej.v10i1.98.

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Abstract This paper discusses the use of Realistic Mathematics Education (RME) as an alternative approach to enhance Indonesian 5th-grade students’ ability in multiplication and division. It presents the analysis of Indonesian 5th-grade students’ difficulties in applying stacking method for multiplication and division. Furthermore, it describes a mathematics teaching learning practice to stimulate students constructing their strategies, mathematical models and number sense in solving mathematical problems that involve multiplication and division. The teaching learning practice aims to apply RM
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16

Miró-Roig, Rosa María, та Günther Trautmann. "The moduli schemeM(0, 2, 4) over ℙ3". Mathematische Zeitschrift 216, № 1 (1994): 283–315. http://dx.doi.org/10.1007/bf02572323.

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17

Hoskins, Heather, Runrun Liu, Jennifer Vandenbussche, and Gexin Yu. "Planar graphs without 4-cycles and close triangles are (2, 0, 0)-colorable." Journal of Combinatorial Optimization 36, no. 2 (2018): 346–64. http://dx.doi.org/10.1007/s10878-018-0298-2.

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18

Strobel, H. "Strang, G., Introduction to Applied Mathematics. Wellesley, Mass. Wellesley-Cambridge Press 1986. IX, 758 pp. ISBN 0-9614088-0-4." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 69, no. 9 (1989): 311–12. http://dx.doi.org/10.1002/zamm.19890690917.

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19

Ri, Myong-Hwan, Ping Zhang та Zhifei Zhang. "Global Well-Posedness for Navier–Stokes Equations with Small Initial Value in $${B^{0}_{n,\infty}(\Omega)}$$ B n , ∞ 0 ( Ω )". Journal of Mathematical Fluid Mechanics 18, № 1 (2016): 103–31. http://dx.doi.org/10.1007/s00021-015-0243-4.

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20

Lamberti, P. D., and V. Vespri. "REMARKS ON SOBOLEV-MORREY-CAMPANATO SPACES DEFINED ON C_{0;\gamma} DOMAINS." Eurasian Mathematical Journal 10, no. 4 (2019): 47–62. http://dx.doi.org/10.32523/2077-9879-2019-10-4-47-62.

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21

Losi, Nanda Tia, MY Siregar, and Cici Puspaningrum. "The Analysis of Class Management Ability to Improve Students’ Activity on Mathematics Learning Process at Grade 8 SMP Swasta Pab 2 Helvetia." Journal of Mathematics and Mathematics Education 10, no. 2 (2020): 49. http://dx.doi.org/10.20961/jmme.v10i2.47085.

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<p class="BodyAbstract">In the teaching and learning process, teacher is not only required to have knowledge to be given to his students. But teachers are required to have the ability to manage the class well. This research aimed to explain students’ activity and the class management to overcome students’ learning difficulty on Mathematics learning. This research used qualitative approach. The subject of research was the mathematic teachers and grade 8 students at SMP PAB 2 Helvetia. The data was collected by observation, interview, and documentation. The research result showed that most
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22

Langer, Andreas. "$0$-cycles on the elliptic modular surface of level $4$." Tohoku Mathematical Journal 50, no. 2 (1998): 291–302. http://dx.doi.org/10.2748/tmj/1178224979.

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23

Changpin, Li. "Remarks on bifurcations ofu + μu − u k=0 (4≤kεZ +)". Acta Mathematicae Applicatae Sinica 17, № 2 (2001): 191–99. http://dx.doi.org/10.1007/bf02669572.

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24

Senouci, Abdelkader, and Abdelkader Zanou. "SOME INTEGRAL INEQUALITIES FOR QUASIMONOTONE FUNCTIONS IN WEIGHTED VARIABLE EXPONENT LEBESGUE SPACE WITH 0." Eurasian Mathematical Journal 11, no. 4 (2020): 58–65. http://dx.doi.org/10.32523/2077-9879-2020-11-4-58-65.

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25

Faraj. "Generalization of (0, 4) Lacunary Interpolation by Quantic Spline." Journal of Mathematics and Statistics 6, no. 1 (2010): 72–78. http://dx.doi.org/10.3844/jmssp.2010.72.78.

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26

Backhouse, John K. "The psychology of learning mathematics (2nd edition), by Richard R. Skemp. Pp 295. £4·95. 1986. ISBN 0-14-022668-0 (Penguin)." Mathematical Gazette 70, no. 454 (1986): 312. http://dx.doi.org/10.1017/s0025557200139786.

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27

Friedl, Stefan, and Stefano Vidussi. "Symplectic ${\bf 4}$–manifolds with $K = 0$ and the Lubotzky alternative." Mathematical Research Letters 18, no. 3 (2011): 513–19. http://dx.doi.org/10.4310/mrl.2011.v18.n3.a11.

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Assaf, Ahmed M. "Covering pairs by quintuples with index λ  0 (mod 4)". Journal of Combinatorial Designs 1, № 6 (1993): 453–58. http://dx.doi.org/10.1002/jcd.3180010606.

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Fishkin, A. Yu. "Formal and analytic linearizability of families of conformal map germs (ℂ, 0) → (ℂ, 0)". Functional Analysis and Its Applications 43, № 1 (2009): 78–80. http://dx.doi.org/10.1007/s10688-009-0011-4.

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30

Yasmin, Ghazala, and Abdulghani Muhyi. "Lie algebra $${\mathcal {G}}(0, 1)$$ G ( 0 , 1 ) and 3-variable 2-parameter Hermite polynomials." Afrika Matematika 30, no. 1-2 (2018): 231–46. http://dx.doi.org/10.1007/s13370-018-0639-4.

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Cheng, Nathalie, and Kenneth S. Williams. "CONVOLUTION SUMS INVOLVING THE DIVISOR FUNCTION." Proceedings of the Edinburgh Mathematical Society 47, no. 3 (2004): 561–72. http://dx.doi.org/10.1017/s0013091503000956.

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AbstractThe series\begin{alignat*}{2} L_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \\ M_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma_3(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \\ N_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma_5(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \end{alignat*}are evaluated and used to prove convolution formulae such as$$ \sum_{m\le n}\sigma(4m-3)\sigma(4n-(4m-3))=4\sigma_3(n)-4\sigma_3(\tfrac12n). $$AMS 2000 Mathematics subject classification: Primary 11A25
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Nicholas, Laurence. "Studying Mathematics and its Applications Studying Mathematics and its Applications , Peter Kahn , Palgrave Publishing Ltd. , October 2001 , £10.99 ; ISBN 0-333-92279-4 ." MSOR Connections 1, no. 3 (2001): 52. http://dx.doi.org/10.11120/msor.2001.01030052.

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Groves, Howard. "Heinemann modular mathematics for Edexcel AS and A-level, by Geoff Mannall and Michael Kenwood. Pure mathematics 4. Pp. 154 . £8.99. 2002. ISBN 0 435 51091 6. Pure mathematics 5. Pp. 147. £10.99. 2002. ISBN 0 435 51092 4. Pure mathematics 6. Pp. 202. £10.99. 2002. ISBN 0435 51093 2 (Heinemann)." Mathematical Gazette 87, no. 509 (2003): 359. http://dx.doi.org/10.1017/s0025557200173036.

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34

Toro Uribe, Jorge A., and Walter F. Castro. "Condiciones que activan la argumentación del profesor de matemáticas en clase." Revista Chilena de Educación Matemática 12, no. 1 (2020): 35–44. http://dx.doi.org/10.46219/rechiem.v12i1.11.

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¿Cuáles son las condiciones que activan la argumentación del profesor de Matemáticas durante la discusión de tareas en clase? En este artículo se presentan posibles respuestas a esta pregunta, en el marco de un estudio que pretende comprender la argumentación del profesor de Matemáticas en un ambiente habitual de clase. Para ello se presenta una fundamentación teórica sobre la argumentación en la clase de Matemáticas. Los datos forman parte de un estudio más amplio, los cuales se tomaron durante lecciones de clase de décimo grado (estudiantes de 15 a 16 años), mientras la profesora y sus estud
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35

Hillman, Jonathan A. "Elementary amenable groups and 4-manifolds with Euler characteristic 0." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 50, no. 1 (1991): 160–70. http://dx.doi.org/10.1017/s1446788700032638.

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AbstractWe extend earlier work relating asphericity and Euler characteristics for finite complexes whose fundamental groups have nontrivial torsion free abelian normal subgroups. In particular a finitely presentable group which has a nontrivial elementary amenable subgroup whose finite subgroups have bounded order and with no nontrivial finite normal subgroup must have deficiency at most 1, and if it has a presentation of deficiency 1 then the corresponding 2-complex is aspherical. Similarly if the fundamental group of a closed 4-manifold with Euler characteristic 0 is virtually torsion free a
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36

Ansari, Alireza. "Riesz fractional derivatives of solutions of differential equation y(4) + xy = 0." Studia Scientiarum Mathematicarum Hungarica 54, no. 2 (2017): 205–20. http://dx.doi.org/10.1556/012.2017.54.2.1362.

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37

Qu, Zhaoxia, and Zongsheng Zheng. "An Efficient $$L_{0}$$ L 0 Norm Constraint Memory Improved Proportionate Affine Projection Algorithm." Circuits, Systems, and Signal Processing 36, no. 8 (2016): 3448–56. http://dx.doi.org/10.1007/s00034-016-0467-4.

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38

Mitra, A. K. "Graphing implicit functions f(x,y)=0." Applied Mathematics and Computation 39, no. 3 (1990): 199–205. http://dx.doi.org/10.1016/s0096-3003(20)80003-4.

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Bhowmick, Jyotishman, Debashish Goswami, and Adam Skalski. "Quantum isometry groups of $0$-dimensional manifolds." Transactions of the American Mathematical Society 363, no. 02 (2011): 901. http://dx.doi.org/10.1090/s0002-9947-2010-05141-4.

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40

Ponce-Pérez, R., María Teresa Romero de la Cruz, J. Guerrero-Sánchez, et al. "Half-metal effect on the MnAs/InP (0 0 1)-(2 × 4) interface." Computational Materials Science 175 (April 2020): 109603. http://dx.doi.org/10.1016/j.commatsci.2020.109603.

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Potter, M. "PAOLO MANCOSU. The Adventure of Reason: Interplay between Philosophy of Mathematics and Mathematical Logic, 1900-1940. Oxford: Oxford University Press, 2010. ISBN 978-0-19-954653-4. Pp. xii + 618." Philosophia Mathematica 20, no. 2 (2012): 256–58. http://dx.doi.org/10.1093/philmat/nks012.

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Yau, Andy C., Xuecheng Tai, and Michael K. Ng. "Compression and denoising using l 0-norm." Computational Optimization and Applications 50, no. 2 (2010): 425–44. http://dx.doi.org/10.1007/s10589-010-9352-4.

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43

Journal, Baghdad Science. "the coincidence lefschetz number for self-maps of lie groups." Baghdad Science Journal 3, no. 3 (2006): 465–69. http://dx.doi.org/10.21123/bsj.3.3.465-469.

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Let/. It :0 ---0 G be any two self maps of a compact connected oriented Lie group G. In this paper, for each positive integer k , we associate an integer with fk,hi . We relate this number with Lefschetz coincidence number. We deduce that for any two differentiable maps f, there exists a positive integer k such that k 5.2+1 , and there is a point x C G such that ft (x) = (x) , where A is the rank of G . Introduction Let G be an n-dimensional com -pact connected Lie group with multip-lication p ( .e 44:0 xG--+G such that p ( x , y) = x.y ) and unit e . Let [G, G] be the set of homotopy classes
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44

Polyakhova, Elena. "Calinger, R. S. Leonhard Euler: Mathematical Genius in the Enlightenment (Princeton, 2016), ISBN 978-0-691-11927-4." Voprosy istorii estestvoznaniia i tekhniki 42, no. 2 (2021): 345. http://dx.doi.org/10.31857/s020596060015086-6.

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Utami, Zhafirah Atiqah Utami, Atiqah, Sugiatno Sugiatno, and Romal Ijuddin. "HAMBATAN EPISTEMOLOGI PEMAHAMAN KONSEPTUAL BERDASARKAN TAKSONOMI SOLO SISWA." Jurnal AlphaEuclidEdu 1, no. 1 (2020): 41. http://dx.doi.org/10.26418/ja.v1i1.41654.

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This study aims to explain and describe the epistemological obstacle of students' mathematical conceptual understanding based on the SOLO taxonomy at MTs Negeri 2 Pontianak. This research uses a descriptive qualitative method with a survey form. The subjects of this research is 35 students in class VIII F MTs Negeri 2 Pontianak. Data collection techniques that used were test and and non-test. Data collection tools that used were conceptual understanding tests and interview. The results of data analysis from this study indicate that the epistemological obstacle of students' mathematical concept
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Asplund, John, та Melissa Keranen. "$${\mathrm{TS}}(v,\lambda )$$TS(v,λ) with Cyclic 2-Intersecting Gray Codes: $$v\equiv 0$$v≡0 or $$4\pmod {12}$$4(mod12)". Graphs and Combinatorics 36, № 3 (2020): 415–36. http://dx.doi.org/10.1007/s00373-019-02107-1.

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47

Crisp, John, and Luisa Paoluzzi. "On the classification of CAT(0) structures for the 4-string braid group." Michigan Mathematical Journal 53, no. 1 (2005): 133–63. http://dx.doi.org/10.1307/mmj/1114021090.

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48

KEEL, SEAN, and JENIA TEVELEV. "EQUATIONS FOR $\overline M_{0,n}$." International Journal of Mathematics 20, no. 09 (2009): 1159–84. http://dx.doi.org/10.1142/s0129167x09005716.

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We show that the log canonical bundle, κ, of [Formula: see text] is very ample, show the homogeneous coordinate ring is Koszul, and give a nice set of rank 4 quadratic generators for the homogeneous ideal: The embedding is equivariant for the symmetric group, and the image lies on many Segre embedded copies of ℙ1 × ⋯ × ℙn-3, permuted by the symmetric group. The homogeneous ideal of [Formula: see text] is the sum of the homogeneous ideals of these Segre embeddings.
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D’Aurizio, Jacopo, and Sabino Di Trani. "Surprising identities for the hypergeometric $${}_{4}F_{3}$$ 4 F 3 function." Bollettino dell'Unione Matematica Italiana 11, no. 3 (2017): 403–9. http://dx.doi.org/10.1007/s40574-017-0142-0.

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Storr, Graham H. "SMP Interact for GCSE mathematics – Practice for Intermediate, by The School Mathematics Project. Pp. 216. £4.50. 2003. ISBN 0 521 89028 4 (Cambridge University Press)." Mathematical Gazette 88, no. 513 (2004): 598–99. http://dx.doi.org/10.1017/s0025557200176454.

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