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Journal articles on the topic 'Cube root of book'

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Published: 4 June 2021

Last updated: 4 February 2022

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1

Parajuli, Krishna Kanta. "Three Classical Methods to find the Cube Roots: A Connective Perspective on Lilavati, Vedic and Pande's Procedures." Journal of Nepal Mathematical Society 4, no. 1 (May 14, 2021): 23–32. http://dx.doi.org/10.3126/jnms.v4i1.37110.

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South Asian region has made a glorious history of mathematics. This area is considered as fer- tile land for the birth of pioneer mathematicians who developed various mathematical ideas and creations. Among them, three innovative personalities are Bhaskaracarya, Gopal Pande and Bharati Krishna Tirthaji and their specific methods to find cube root are mainly focused on this study. The article is trying to explore the comparative study among the procedures they adopt. Gopal Pande disagrees with the Bhaskaracarya's verse. He used the unitary method against that method mentioned in Bhaskaracarya's famous book Lilavati to prove his procedures. However, the Vedic method by Tirthaji was not influenced by the other two except for minor cases. In the case of practicality and simplicity, the Vedic method is more practical and simpler to understand for all mathematical learners and teachers in comparison to the other two methods.

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2

KITLV, Redactie. "Book reviews." New West Indian Guide / Nieuwe West-Indische Gids 86, no. 3-4 (January 1, 2012): 309–407. http://dx.doi.org/10.1163/13822373-90002420.

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A World Among these Islands: Essays on Literature, Race, and National Identity in Antillean America, by Roberto Márquez (reviewed by Peter Hulme) Caribbean Reasonings: The Thought of New World, The Quest for Decolonisation, edited by Brian Meeks & Norman Girvan (reviewed by Cary Fraser) Elusive Origins: The Enlightenment in the Modern Caribbean Historical Imagination, by Paul B. Miller (reviewed by Kerstin Oloff) Caribbean Perspectives on Modernity: Returning Medusa’s Gaze, by Maria Cristina Fumagalli (reviewed by Maureen Shay) Who Abolished Slavery: Slave Revolts and Abolitionism: A Debate with João Pedro Marques, edited by Seymour Drescher & Pieter C. Emmer, and Abolitionism and Imperialism in Britain, Africa, and the Atlantic, edited by Derek R . Peterson (reviewed by Claudius Fergus) The Mediterranean Apprenticeship of British Slavery, by Gustav Ungerer (reviewed by James Walvin) Children in Slavery through the Ages, edited by Gwyn Campbell, Suzanne Miers & Joseph C. Miller (reviewed by Indrani Chatterjee) The Invisible Hook: The Hidden Economics of Pirates, by Peter T. Leeson (reviewed by Kris Lane) Theorizing a Colonial Caribbean-Atlantic Imaginary: Sugar and Obeah, by Keith Sandiford (reviewed by Elaine Savory) Created in the West Indies: Caribbean Perspectives on V.S. Naipaul, edited by Jennifer Rahim & Barbara Lalla (reviewed by Supriya M. Nair) Thiefing Sugar: Eroticism between Women in Caribbean Literature, by Omise’eke Natasha Tinsley (reviewed by Lyndon K. Gill) Haiti Unbound: A Spiralist Challenge to the Postcolonial Canon, by Kaiama L. Glover (reviewed by Asselin Charles) Divergent Dictions: Contemporary Dominican Literature, by Néstor E. Rodríguez (reviewed by Dawn F. Stinchcomb) The Caribbean Short Story: Critical Perspectives, edited by Lucy Evans, Mark McWatt & Emma Smith (reviewed by Leah Rosenberg) Society of the Dead: Quita Manaquita and Palo Praise in Cuba, by Todd Ramón Ochoa (reviewed by Brian Brazeal) El Lector: A History of the Cigar Factory Reader, by Araceli Tinajero (reviewed by Juan José Baldrich) Blazing Cane: Sugar Communities, Class, and State Formation in Cuba, 1868-1959, by Gillian McGillivray (reviewed by Consuelo Naranjo Orovio) The Purposes of Paradise: U.S. Tourism and Empire in Cuba and Hawai’i, by Christine Skwiot (reviewed by Amalia L. Cabezas) A History of the Cuban Revolution, by Aviva Chomsky (reviewed by Michelle Chase) The Cubalogues: Beat Writers in Revolutionary Havana, by Todd F. Tietchen (reviewed by Stephen Fay) The Devil in the Details: Cuban Antislavery Narrative in the Postmodern Age, by Claudette M. Williams (reviewed by Gera Burton) Screening Cuba: Film Criticism as Political Performance during the Cold War, by Hector Amaya (reviewed by Ann Marie Stock) Perceptions of Cuba: Canadian and American Policies in Comparative Perspective, by Lana Wylie (reviewed by Julia Sagebien) Forging Diaspora: Afro-Cubans and African Americans in a World of Empire and Jim Crow, by Frank Andre Guridy (reviewed by Susan Greenbaum) The Irish in the Atlantic World, edited by David T. Gleeson (reviewed by Donald Harman Akenson) The Chinese in Latin America and the Caribbean, edited by Walton Look Lai & Tan Chee-Beng (reviewed by John Kuo Wei Tchen) The Island of One People: An Account of the History of the Jews of Jamaica, by Marilyn Delevante & Anthony Alberga (reviewed by Barry Stiefel) Creole Jews: Negotiating Community in Colonial Suriname, by Wieke Vink (reviewed by Aviva Ben-Ur) Only West Indians: Creole Nationalism in the British West Indies, by F.S.J. Ledgister (reviewed by Jerome Teelucksingh) Cultural DNA: Gender at the Root of Everyday Life in Rural Jamaica, by Diana J. Fox (reviewed by Jean Besson) Women in Grenadian History, 1783-1983, by Nicole Laurine Phillip (reviewed by Bernard Moitt) British-Controlled Trinidad and Venezuela: A History of Economic Interests and Subversions, 1830-1962, by Kelvin Singh (reviewed by Stephen G. Rabe) Export/Import Trends and Economic Development in Trinidad, 1919-1939, by Doddridge H.N. Alleyne (reviewed by Rita Pemberton) Post-Colonial Trinidad: An Ethnographic Journal, by Colin Clarke & Gillian Clarke (reviewed by Patricia van Leeuwaarde Moonsammy) Poverty in Haiti: Essays on Underdevelopment and Post Disaster Prospects, by Mats Lundahl (reviewed by Robert Fatton Jr.) From Douglass to Duvalier: U.S. African Americans, Haiti, and Pan Americanism, 1870-1964, by Millery Polyné (reviewed by Brenda Gayle Plummer) Haiti Rising: Haitian History, Culture and the Earthquake of 2010, edited by Martin Munro (reviewed by Jonna Knappenberger) Faith Makes Us Live: Surviving and Thriving in the Haitian Diaspora, by Margarita A. Mooney (reviewed by Rose-Marie Chierici) This Spot of Ground: Spiritual Baptists in Toronto, by Carol B. Duncan (reviewed by James Houk) Interroger les morts: Essai sur le dynamique politique des Noirs marrons ndjuka du Surinam et de la Guyane, by Jean-Yves Parris (reviewed by H.U.E. Thoden van Velzen & W. van Wetering)

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3

Kim, Jeankyung, and David Pollard. "Cube Root Asymptotics." Annals of Statistics 18, no. 1 (March 1990): 191–219. http://dx.doi.org/10.1214/aos/1176347498.

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4

Therese, S. Kulandhai, and Romila K. "Cube Root Cube Mean Labeling of Graphs." International Journal of Mathematics Trends and Technology 65, no. 2 (February 25, 2019): 130–35. http://dx.doi.org/10.14445/22315373/ijmtt-v65i2p520.

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5

Fenton, P. C. "84.37 Eratosthenes's Cube Root Mechanism." Mathematical Gazette 84, no. 500 (July 2000): 287. http://dx.doi.org/10.2307/3621665.

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6

Lin, Chia-Yu. "Digital Root Patterns of Three-Dimensional Space." Recreational Mathematics Magazine 3, no. 5 (March 1, 2016): 9–31. http://dx.doi.org/10.1515/rmm-2016-0002.

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Abstract In this study, we define vedic cube as the layout of each digital root in a three-dimensional multiplication table. In order to discover the geometric patterns in vedic cube, we adopt two methods to analyze the digital root in a three-dimensional space. The first method is floor method, which divides vedic cube into several X-Y planes according to different Z values (floors) to analyze the geometric characteristics on each floor. The second method is symmetric plane method, which decomposes vedic cube by its main and secondary symmetric planes.

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7

Johansson, Bo Göran. "Cube root extraction in medieval mathematics." Historia Mathematica 38, no. 3 (August 2011): 338–67. http://dx.doi.org/10.1016/j.hm.2010.08.001.

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8

Cattaneo, Matias D., Michael Jansson, and Kenichi Nagasawa. "Bootstrap‐Based Inference for Cube Root Asymptotics." Econometrica 88, no. 5 (2020): 2203–19. http://dx.doi.org/10.3982/ecta17950.

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This paper proposes a valid bootstrap‐based distributional approximation for M‐estimators exhibiting a Chernoff (1964)‐type limiting distribution. For estimators of this kind, the standard nonparametric bootstrap is inconsistent. The method proposed herein is based on the nonparametric bootstrap, but restores consistency by altering the shape of the criterion function defining the estimator whose distribution we seek to approximate. This modification leads to a generic and easy‐to‐implement resampling method for inference that is conceptually distinct from other available distributional approximations. We illustrate the applicability of our results with four examples in econometrics and machine learning.

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9

Léger, Christian, and Brenda Macgibbon. "On the bootstrap in cube root asymptotics." Canadian Journal of Statistics 34, no. 1 (March 2006): 29–44. http://dx.doi.org/10.1002/cjs.5550340104.

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10

Cho, Gook Hwa, Soonhak Kwon, and Hyang-Sook Lee. "A refinement of Müller's cube root algorithm." Finite Fields and Their Applications 67 (October 2020): 101708. http://dx.doi.org/10.1016/j.ffa.2020.101708.

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11

Krepkii, I. A., and K. I. Pimenov. "Cube root Ramanujan formulas and elementary Galois theory." Vestnik St. Petersburg University: Mathematics 48, no. 4 (October 2015): 214–23. http://dx.doi.org/10.3103/s106345411504007x.

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12

Zhou, Zhongguo. "Integer Part of Cube Root and Its Combination." Advances in Pure Mathematics 05, no. 13 (2015): 774–76. http://dx.doi.org/10.4236/apm.2015.513071.

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13

Susdarwono, Endro Tri. "Testing through the Mann-Whitney Method and the Wilcoxon Signed Level on Learning Cube and Perfect Cube Roots." Journal of Education and Learning Mathematics Research (JELMaR) 2, no. 1 (May 20, 2021): 26–36. http://dx.doi.org/10.37303/jelmar.v2i1.43.

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The purpose of this study is to discuss the testing using the Mann-Whitney method and the Wilcoxon signaled level for learning perfect cube and cube root. This research is a quantitative study, while the method used is experimental. The quantitative approach used includes the Mann-Whitney test and Wilcoxon's signed rank test. The conclusions of this study are that: 1) for the Mann-Whitney test on the pretest value of the control group and the experimental group it is concluded that before the treatment of two groups, namely control and experiment, had the same ability in mastering the material to the third power and the cube root; 2) For the Mann-Whitney test on the post-test scores of the control group and the experimental group, it is concluded that after the treatment of two groups, namely the control and the experimental group, they have different abilities in mastery of the material in the third power and the cube root; whereas 3) for the Wilcoxon-signed level test on the pretest and posttest scores of the experimental group, it was concluded that there was a difference between the conditions before and after being given treatments on the mastery of the material to the third power and the perfect cube root.

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14

van Inwagen, Peter. "Modes of Being and Quantification." Disputatio 6, no. 38 (May 1, 2014): 1–24. http://dx.doi.org/10.2478/disp-2014-0001.

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Abstract If Pegasus existed, he would indeed be in space and time, but only because the word ‘Pegasus’ has spatio-temporal connotations, and not because ‘exists’ has spatio-temporal connotations. If spatio-temporal reference is lacking when we affirm the existence of the cube root of 27, that is simply because a cube root is not a spatio-temporal kind of thing.

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15

Moroz, Leonid, Volodymyr Samotyy, Cezary J. Walczyk, and Jan L. Cieśliński. "Fast Calculation of Cube and Inverse Cube Roots Using a Magic Constant and Its Implementation on Microcontrollers." Energies 14, no. 4 (February 18, 2021): 1058. http://dx.doi.org/10.3390/en14041058.

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We develop a bit manipulation technique for single precision floating point numbers which leads to new algorithms for fast computation of the cube root and inverse cube root. It uses the modified iterative Newton–Raphson method (the first order of convergence) and Householder method (the second order of convergence) to increase the accuracy of the results. The proposed algorithms demonstrate high efficiency and reduce error several times in the first iteration in comparison with known algorithms. After two iterations 22.84 correct bits were obtained for single precision. Experimental tests showed that our novel algorithm is faster and more accurate than library functions for microcontrollers.

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16

Gidheeba, N. G. "Root Cube Mean Cordial Labeling of Some Standard Graphs." Bioscience Biotechnology Research Communications 13, no. 15 (December 25, 2020): 330–37. http://dx.doi.org/10.21786/bbrc/13.15/58.

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17

Pineiro, Alex, Javier D. Bruguera, Fabrizio Lamberti, and Paolo Montuschi. "A Radix-2 Digit-by-Digit Architecture for Cube Root." IEEE Transactions on Computers 57, no. 4 (2008): 562–66. http://dx.doi.org/10.1109/tc.2007.70848.

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18

Cator, Eric, and Piet Groeneboom. "Second class particles and cube root asymptotics for Hammersley’s process." Annals of Probability 34, no. 4 (July 2006): 1273–95. http://dx.doi.org/10.1214/009117906000000089.

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19

Alexander, Kenneth S. "Cube-Root Boundary Fluctuations¶for Droplets in Random Cluster Models." Communications in Mathematical Physics 224, no. 3 (December 1, 2001): 733–81. http://dx.doi.org/10.1007/s220-001-8022-2.

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20

Benson, D. M. "Fungicides as Foliar Sprays or Rooting Cube Soaks in Propagation of Poinsettia." HortScience 27, no. 9 (September 1992): 1006–8. http://dx.doi.org/10.21273/hortsci.27.9.1006.

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Several fungicides, including benomyl, flutolanil, iprodione, metalaxyl, and a mixture of metalaxyl and benomyl that control rhizoctonia stem rot (Rhizoctonia solani Kuhn) of poinsettia (Euphorbia pulcherriman Willd. ex Kl.) were evaluated for inhibition of poinsettia root initials and suppression of root elongation. Fungicides were applied as either foliar sprays to poinsettia cuttings in rooting cubes or as soaks of rooting cubes before sticking of cuttings. Rooting cube soaks of iprodione and benomyl and fungicide sprays of iprodione, benomyl, and chlorothalonil inhibited root initiation as measured by root counts 28 days after sticking cuttings. However, root elongation as measured by root rating was similar for all fungicides and the untreated control at 28 days. Plant height of rooted poinsettia cuttings transplanted to 400-cm3 pots was significantly less (P = 0.05) only for cuttings sprayed initially with iprodione, but not for rooting cubes soaked in iprodione 58 days after transplanting. The inhibitory effect of other fungicides on root initiation did not appear to affect plant growth once plants were transplanted. Chemical names used: methyl 1-(butyl-carbamoyl)-2-benzimidazolecarbamate (benomyl); tetrachloroisophthalonitrile (chlorothalonil); N -[3-(methylethoxy)phenyl]-2-(trifluoromethyl)benzamide (flutolanil); 3-(3,5dichlorophenyl)N -(lmethylethyl)-2,4-dioxo-l-imidazolidinecarboxamide (iprodione); N -(2,6-dimethylphyenyl)N -(methoxyacetyl) alanine methyl ester (metalaxyl).

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21

Zlatopolski, D. M. "Method for extracting square and cube roots in the binary number system." Informatics in school 1, no. 1 (March 18, 2021): 42–45. http://dx.doi.org/10.32517/2221-1993-2021-20-1-42-45.

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The article describes in detail the methods of extracting square and cube roots in the binary number system. The method for extracting the square root of a binary number is similar to the corresponding method for decimal numbers, which is called the "column method". As for decimal numbers, when choosing the next digit of the root, twice the current value of the root, represented in the binary system, is used. When extracting the cube root (also "column"), there are two differences from the decimal system. The first is that instead of 300 (the product of 3 and 100), the binary number 1100 is used (that is, the product of the binary equivalents of the numbers 3 and 4). The second difference is that instead of the number 30 (the product of 3 and 10), the binary number 110 is used (that is, the product of binary analogs numbers 3 and 2). To facilitate the selection of the next root digit (0 or 1), a number of standard values have been calculated, depending on the current root value. Assignments for independent work of students are offered.

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22

Ильченко, Михаил Ефимович, Теодор Николаевич Нарытник, Владимир Ильич Присяжный, Сергей Владимирович Капштык, and Сергей Анатольевич Матвиенко. "ПРИМЕНЕНИЕ СТАНДАРТА ШИРОКОПОЛОСНОГО ДОСТУПА IEEE 802.16 ДЛЯ ОПРЕДЕЛЕНИЯ ВЗАИМНОГО ПОЛОЖЕНИЯ КУБСАТОВ В СОСТАВЕ LEGA-SAT." Aerospace technic and technology, no. 4 (October 14, 2018): 98–106. http://dx.doi.org/10.32620/aktt.2018.4.12.

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It is considered the possibility of optimizing the use of the power capabilities of the cube-sat platform included in the "distributed satellite" to improve the performance of its payload. To optimize the use of energy capabilities, it was proposed to disconnect the onboard equipment of the command-and-telemetric radio link in the mode of regular operation of cube-sat in the "distributed satellite". To measure the current navigation parameters of cube-satellite in the conditions of group flight in the "distributed satellite" it is proposed to use the coordinates of the cube-satellite in the satellite coordinate system of the "distributed satellite" root satellite and the relative cube-relative velocity vector relative to the root satellite as the initial data. It is proposed to use a technique based on measurements of the distances between satellites in a "distributed satellite" and the projections of the vector of relative velocity for these distances to determine the coordinates of cube-sat in the satellite coordinate system. The features of the WiMAX broadband access protocol IEEE 802.16 protocols are examined to determine whether it is possible to perform mutual position measurements of satellites as part of a "distributed satellite" in one channel with information transmission. It pointed that the use of built-in means of measuring the range and access of mobile stations to the mobile WiMAX network makes it possible to perform measurements of the distance from the root satellite to the final satellite - cube-sat in the "distributed satellite". To perform the operations of measuring distances between the final satellites in the "distributed satellite", it is proposed to use the "competitive access zone" of the uplink sub-frame in the WiMAX network. A procedure for measuring the range between terminal satellites is proposed, based on measuring the propagation time of the distance measurement test signal between the assigned terminal satellites. It proposed a procedure for transmitting a test signal, taking into account the features of multiple access with orthogonal carrier separation (OFDMA). The proposed procedure can be implemented in a variant of the IEEE 802.16 standard network for application in a "distributed satellite"

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23

Cho, Gook Hwa, Eunhye Ha, Namhun Koo, and Soonhak Kwon. "Square and Cube Root Algorithms in Finite Field and Their Applications." Journal of Korean Institute of Communications and Information Sciences 37A, no. 12 (December 28, 2012): 1031–37. http://dx.doi.org/10.7840/kics.2012.37a.12.1031.

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24

Wang, Yan-Feng, Pan-Ru Wang, Chun Huang, and Jun-Wei Sun. "Five-Input Cube-Root Logical Operation Based on DNA Strand Displacement." Journal of Nanoelectronics and Optoelectronics 13, no. 6 (June 1, 2018): 831–38. http://dx.doi.org/10.1166/jno.2018.2324.

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25

Patterson, S. J. "The distribution of certain special values of the cubic Legendre symbol." Glasgow Mathematical Journal 27 (October 1985): 165–84. http://dx.doi.org/10.1017/s0017089500006169.

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Let ω be a primitive cube root of unity. We define the cubic residue symbol (Legendre symbol) on ℤ[ω] as follows. Let πεℤ[ω] be a prime, (3, π)=1. For α ε ℤ[ω] such that (α, π)=1 we let be that third root of unity so that

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26

Langdon, William B., and Oliver Krauss. "Genetic Improvement of Data for Maths Functions." ACM Transactions on Evolutionary Learning and Optimization 1, no. 2 (July 23, 2021): 1–30. http://dx.doi.org/10.1145/3461016.

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We use continuous optimisation and manual code changes to evolve up to 1024 Newton-Raphson numerical values embedded in an open source GNU C library glibc square root sqrt to implement a double precision cube root routine cbrt, binary logarithm log2 and reciprocal square root function for C in seconds. The GI inverted square root x -1/2 is far more accurate than Quake’s InvSqrt, Quare root. GI shows potential for automatically creating mobile or low resource mote smart dust bespoke custom mathematical libraries with new functionality.

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27

Cho, Gook Hwa. "Two Types of Algorithms for Finding the Cube Root in Finite Fields." Journal of Korean Institute of Communications and Information Sciences 41, no. 5 (May 31, 2016): 499–503. http://dx.doi.org/10.7840/kics.2016.41.5.499.

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28

Caputo, Pietro, Eyal Lubetzky, Fabio Martinelli, Allan Sly, and Fabio Lucio Toninelli. "Scaling limit and cube-root fluctuations in SOS surfaces above a wall." Journal of the European Mathematical Society 18, no. 5 (2016): 931–95. http://dx.doi.org/10.4171/jems/606.

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29

Williams, Kim. "Michelangelo's Medici Chapel: The Cube, the Square and the Root-2 Rectangle." Leonardo 30, no. 2 (1997): 105. http://dx.doi.org/10.2307/1576419.

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30

wan, U. Riz, and Mohammed Nabeel I. "New Operations over Interval Value Intuitionistic Fuzzy Sets of Cube Root Type." International Journal of Mathematics Trends and Technology 57, no. 4 (May 25, 2018): 256–68. http://dx.doi.org/10.14445/22315373/ijmtt-v57p536.

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31

de Biasi, R. S., A. A. R. Fernandes, and J. C. S. Oliveira. "Cell volumes of LaPO4–CePO4 solid solutions." Journal of Applied Crystallography 20, no. 4 (August 1, 1987): 319–20. http://dx.doi.org/10.1107/s0021889887086606.

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32

Kusno, Kusno, and Muvida Indah Kusuma. "Pop Up Book Kubus dan Balok Untuk Siswa SMP." AlphaMath : Journal of Mathematics Education 4, no. 2 (May 10, 2020): 1. http://dx.doi.org/10.30595/alphamath.v4i2.7361.

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The research aims to construct learning media for pop up books on cube and block materials that are suitable for use in junior high school students. This research is a development study using a modified 4-D model that is Define, Design, Develop and Deseminate from Thiagarajan. The subject of the material developed in this study was cube and beam class VIII material with a class VIII trial subject of SMPN 1 Sumbang. The results showed that the learning media pop up book was very valid (3.57) according to the validator, the teacher's response was very good (3.31) and student responses were good (3.29)

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Housecroft, Catherine E., and H. Donald Brooke Jenkins. "Absolute ion hydration enthalpies and the role of volume within hydration thermodynamics." RSC Advances 7, no. 45 (2017): 27881–94. http://dx.doi.org/10.1039/c6ra25804b.

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This paper reports that various thermodynamic properties in aqueous media for certain individual ions and for compounds are linear functions of the inverse cube root of the solid respective ionic and compound solid state volumes, V_m^−1/3.

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34

Bezrukov, Sergej L. "On Oriented Embedding of the Binary Tree into the Hypercube." Combinatorics, Probability and Computing 3, no. 1 (March 1994): 27–38. http://dx.doi.org/10.1017/s0963548300000948.

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We consider the oriented binary tree and the oriented hypercube. The tree edges are oriented from the root to the leaves, while the orientation of the cube edges is induced by the direction from 0 to 1 in the coordinatewise form. The problem is to embed such a tree with l levels into the oriented n-cube as an oriented subgraph, for minimal possible n. A new approach to such problems is presented, which improves the known upper bound n/l ≤ 3/2 given by Havel [1] to n/l ≤ 4/3 + o(1) as l → ∞.

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35

LOH, PETER K. K., and W. J. HSU. "EMBEDDING OF FAULT-TOLERANT TREES IN THE JOSEPHUS CUBE." Parallel Processing Letters 12, no. 01 (March 2002): 3–16. http://dx.doi.org/10.1142/s012962640200077x.

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The tree interconnection network lends itself to several suitably structured applications. However, the low connectivity at each node, traffic congestion and single point of failure at the root node reduce reliability and availability. Both the hypertree and X-tree are fault-tolerant variants of the basic tree network and have been the focus of more recent implementation and research interest. In this paper, we consider a recently proposed family of interconnection networks known as the Josephus Cubes and show how hypertrees, X-trees and ringed X-trees of arbitrary height can be near-optimally embedded in this novel interconnection network.

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36

Balazs, Marton, Eric Cator, and Timo Seppalainen. "Cube Root Fluctuations for the Corner Growth Model Associated to the Exclusion Process." Electronic Journal of Probability 11 (2006): 1094–132. http://dx.doi.org/10.1214/ejp.v11-366.

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37

Heo, Geon, Seokhwan Choi, Kwang Ho Lee, Namhun Koo, and Soonhak Kwon. "Remarks on the Pocklington and Padró–Sáez cube root algorithm in 𝔽 q." Electronics Letters 50, no. 14 (July 2014): 1002–3. http://dx.doi.org/10.1049/el.2014.1037.

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38

Potratz, C. J., R. K. Steinhorst, and C. L. Hanson. "Estimating the Parameters of a Cube Root Normal Distribution from Reduced Sample Data." Water Resources Research 21, no. 1 (January 1985): 89–90. http://dx.doi.org/10.1029/wr021i001p00089.

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39

KREBES, DAVID A. "AN OBSTRUCTION TO EMBEDDING 4-TANGLES IN LINKS." Journal of Knot Theory and Its Ramifications 08, no. 03 (May 1999): 321–52. http://dx.doi.org/10.1142/s0218216599000213.

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We consider the ways in which a 4-tangle T inside a unit cube can be extended outside the cube into a knot or link L. We present two links n(T) and d(T) such that the greatest common divisor of the determinants of these two links always divides the determinant of the link L. In order to prove this result we give a two-integer invariant of 4-tangles. Calculations are facilitated by viewing the determinant as the Kauffman bracket at a fourth root of -1, which sets the loop factor to zero. For rational tangles, our invariant coincides with the value of the associated continued fraction.

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40

Koca, Mehmet, Nazife Ozdes Koca, Abeer Al-Siyabi, and Ramazan Koc. "Explicit construction of the Voronoi and Delaunay cells ofW(An) andW(Dn) lattices and their facets." Acta Crystallographica Section A Foundations and Advances 74, no. 5 (August 8, 2018): 499–511. http://dx.doi.org/10.1107/s2053273318007842.

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Voronoi and Delaunay (Delone) cells of the root and weight lattices of the Coxeter–Weyl groupsW(An) andW(Dn) are constructed. The face-centred cubic (f.c.c.) and body-centred cubic (b.c.c.) lattices are obtained in this context. Basic definitions are introduced such as parallelotope, fundamental simplex, contact polytope, root polytope, Voronoi cell, Delone cell,n-simplex,n-octahedron (cross polytope),n-cube andn-hemicube and their volumes are calculated. The Voronoi cell of the root lattice is constructed as the dual of the root polytope which turns out to be the union of Delone cells. It is shown that the Delone cells centred at the origin of the root latticeAnare the polytopes of the fundamental weights ω1, ω2,…, ωnand the Delone cells of the root latticeDnare the polytopes obtained from the weights ω1, ωn−1and ωn. A simple mechanism explains the tessellation of the root lattice by Delone cells. It is proved that the (n−1)-facet of the Voronoi cell of the root latticeAnis an (n−1)-dimensional rhombohedron and similarly the (n−1)-facet of the Voronoi cell of the root latticeDnis a dipyramid with a base of an (n−2)-cube. The volume of the Voronoi cell is calculatedviaits (n−1)-facet which in turn can be obtained from the fundamental simplex. Tessellations of the root lattice with the Voronoi and Delone cells are explained by giving examples from lower dimensions. Similar considerations are also worked out for the weight latticesAn* andDn*. It is pointed out that the projection of the higher-dimensional root and weight lattices on the Coxeter plane leads to theh-fold aperiodic tiling, wherehis the Coxeter number of the Coxeter–Weyl group. Tiles of the Coxeter plane can be obtained by projection of the two-dimensional faces of the Voronoi or Delone cells. Examples are given such as the Penrose-like fivefold symmetric tessellation by theA4root lattice and the eightfold symmetric tessellation by theD5root lattice.

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41

Rasyad, Rasyad. "TINJAUAN KITAB SYARAH SUNAN ABI DAWUD “Bazdl Al-Majhud Fi Halli Aby Dawud”." Jurnal Ilmiah Al-Mu'ashirah 15, no. 2 (December 31, 2018): 143. http://dx.doi.org/10.22373/jim.v15i2.5291.

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This paper attempts to find one of Sunan Abi Dawud's scholarly books: "Bazdl Al-Majhud Fi Halli Aby Dawud". After a brief review of this book in various aspects it turns out that the book is a complete study of Sunan Abi Dawud than the previous books of science. This book is very important because it contains many legends of hadiths related to the law. In addition, the book of Abi Dawud is included in the group of classics of the hadith (cube cube) so there is an expression "if there is no other hadith book, the Abi Dawud is sufficient to understand the religion".

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42

Delgado, Miguel A., Juan M. Rodrı́guez-Poo, and Michael Wolf. "Subsampling inference in cube root asymptotics with an application to Manski’s maximum score estimator." Economics Letters 73, no. 2 (November 2001): 241–50. http://dx.doi.org/10.1016/s0165-1765(01)00494-3.

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43

Ahmadi, O., and F. R. Henríquez. "Low Complexity Cubing and Cube Root Computation over $\F_{3^m}$ in Polynomial Basis." IEEE Transactions on Computers 59, no. 10 (October 2010): 1297–308. http://dx.doi.org/10.1109/tc.2009.183.

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44

Hainovskyand, N., and J. Maier. "Anomalous point defect formation and phase transitions: The significance of a cube root law." Radiation Effects and Defects in Solids 137, no. 1-4 (December 1995): 267–71. http://dx.doi.org/10.1080/10420159508222733.

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45

Bushway, Rodney J., Angela Yang, and Ali AL-Yamany. "Analysis of Rotenone in Cube and Derris Root Powders and Formulations by Liquid Chromatography." Journal of AOAC INTERNATIONAL 71, no. 2 (March 1, 1988): 323–24. http://dx.doi.org/10.1093/jaoac/71.2.323.

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Abstract A modified liquid chromatographic (LC) procedure, including an improved extraction, has been developed to analyze rotenone in root powders of derris and cube. The procedure is also applicable to formulations. Samples are sonicated for 5 min in chloroform or a mixed solvent of tetrahydrofuran-acetonitrile-water-glacial acetic acid, followed by liquid chromatography. Rotenone content of 4 lots of root powder samples showed good agreement between the new extraction and the AOAC official extraction; coefficients of variation ranged from 5 to 1.2%. Five formulations were also analyzed and showed good agreement with results for methanol extraction. Coefficients of variation were 4.5% or less. Purity of the rotenone peaks was tested by using a photodiode array detector in the spectrum and UV ratio modes. It is recommended that the new method be tested collaboratively.

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46

Padhan, Saroj Kumar. "Remarks on Heron's cubic root iteration formula." Boletim da Sociedade Paranaense de Matemática 35, no. 3 (October 25, 2017): 173–80. http://dx.doi.org/10.5269/bspm.v35i3.28629.

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The existence as well as the computation of roots appears in number theory, algebra, numerical analysis and other areas. The present study illustrate the contributions of several authors towards the extraction of different order roots of real number. Different methods with several approaches are studied to extract the roots of real number. Some of the methods described earlier are equivalent as observed in the present study. Heron developed a general iteration formula to determine the cube root of a real number N i.e. $\displaystyle\sqrt[3]{N}=a+\frac{bd}{bd+aD}(b-a)$, where $a^3<N<b^3$, $d=N-a^3$ and $D=b^3-N$ . Although the direct proof of the above method is not available in literature, some authors have proved the same with the help of conjectures. In the present investigation, the proof of Heron's method is explained and is generalized for any odd order roots. Thereafter it is observed that Heron's method is a particular case of the generalized method.

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47

Abel, Ulrich. "High order algorithms for calculating roots." Mathematical Gazette 100, no. 549 (October 17, 2016): 420–28. http://dx.doi.org/10.1017/mag.2016.106.

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In a recent Note [1] Michael D. Hirschhorn presented high order algorithms for calculating numerically square roots and cube roots. In particular, he obtained the method(1)with , where the convergence is of tenth order:We recall his idea in the case of an arbitrary square root with a > 0. Let p ⩾ 2 be a fixed integer. Our starting point is the relationChoose

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48

Wada, Teruo, Ai Ando, Hiroaki Hirai, and Kazuhiro Abe. "Effects of the Volume of Rockwool Cube on Root Density in the Cube, Growth and Fruit Yield of Tomatoes Grown by the Rockwool System." Horticultural Research (Japan) 3, no. 1 (2004): 71–74. http://dx.doi.org/10.2503/hrj.3.71.

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49

Obersteiner, Andreas, and Veronika Hofreiter. "Do we have a sense for irrational numbers?" Journal of Numerical Cognition 2, no. 3 (February 10, 2017): 170–89. http://dx.doi.org/10.5964/jnc.v2i3.43.

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Number sense requires, at least, an ability to assess magnitude information represented by number symbols. Most educated adults are able to assess magnitude information of rational numbers fairly quickly, including whole numbers and fractions. It is to date unclear whether educated adults without training are able to assess magnitudes of irrational numbers, such as the cube root of 41. In a computerized experiment, we asked mathematically skilled adults to repeatedly choose the larger of two irrational numbers as quickly as possible. Participants were highly accurate on problems in which reasoning about the exact or approximate value of the irrational numbers’ whole number components (e.g., 3 and 41 in the cube root of 41) yielded the correct response. However, they performed at random chance level when these strategies were invalid and the problem required reasoning about the irrational number magnitudes as a whole. Response times suggested that participants hardly even tried to assess magnitudes of the irrational numbers as a whole, and if they did, were largely unsuccessful. We conclude that even mathematically skilled adults struggle with quickly assessing magnitudes of irrational numbers in their symbolic notation. Without practice, number sense seems to be restricted to rational numbers.

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50

Wang, Haiying, Xinping Wang, Chao Wang, and Jian Xu. "Concrete Compression Test Data Estimation Based on a Wavelet Neural Network Model." Mathematical Problems in Engineering 2019 (February 11, 2019): 1–10. http://dx.doi.org/10.1155/2019/4952036.

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Firstly, a genetic algorithm (GA) and simulated annealing (SA) optimized fuzzy c-means clustering algorithm (FCM) was proposed in this paper, which was developed to allow for a clustering analysis of the massive concrete cube specimen compression test data. Then, using an optimized error correction time series estimation method based on the wavelet neural network (WNN), a concrete cube specimen compressive strength test data estimation model was constructed. Taking the results of cluster analysis as data samples, the short-term accurate estimation of concrete quality was carried out. It was found that the mean absolute percentage error, e1, and the root mean square error, e2, for the samples were 6.03385% and 3.3682KN, indicating that the proposed method had higher estimation accuracy and was suitable for concrete compressive test data short-term quality estimations.

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