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Journal articles on the topic 'The Magic Formula'

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Published: 4 June 2021
Last updated: 17 February 2022

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1

Hopkins, Sue, and Moyra Baldwin. "Magic formula?" Nursing Standard 13, no. 44 (July 21, 1999): 23. http://dx.doi.org/10.7748/ns.13.44.23.s41.

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2

McArdle, Kathy, Fintan O'Toole, and Ulf Dantanus. "No Magic Formula?" Irish Review (1986-), no. 5 (1988): 135. http://dx.doi.org/10.2307/29735402.

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3

Murdoch, Steven. "No magic formula." Index on Censorship 42, no. 2 (June 2013): 136–39. http://dx.doi.org/10.1177/0306422013491368.

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4

Saputra, Heru S. P. "Formula Dan Ekspresi Formulaik: Aspek Kelisanan Mantra Dalam Pertunjukan Reog." ATAVISME 13, no. 2 (December 31, 2010): 161–74. http://dx.doi.org/10.24257/atavisme.v13i2.128.161-174.

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Artikel ini bertujuan mendiskusikan aspek kelisanan mantra yang digunakan dalam pertunjukan reog. Hasil kajian menunjukkan bahwa dalam seni tradisi reog, mantra merupakan media verbal yang digunakan oleh pembarong untuk mendatangkan kekuatan magis dalam rangkaian tari dhadhak merak. Mantra-mantra di antaranya Mantra Prosesi Drojogan dan Mantra Pangracutan dalam konteks pertunjukan reog merupakan wujud aspek kelisanan. Mantra-mantra tersebut tersusun atas formula-formula, yakni formula repetisi tautotes, formula paralelisme sintaktis, formula konkatenasi, formula repetisi anafora, dan formula repetisi epifora. Dengan beragam formula tersebut, mantra memiliki perulangan yang berpola dan men- jadi terasa ritmis sehingga menunjukkan ekspresi formulaik. Formula dan ekspresi formulaik tersebut merupakan aspek kelisanan utama yang mencerminkan sakralitas dan spiritualitas da- lam seni tradisi reog. Abstract: This article aims to discuss aspects of spells (magic-formula) orality used in the reog show. The study shows that in the reog tradition art, the spells is a verbal medium used by pembarong to bring in a series of magical power dhadhak merak dance. Spells among others, Prosesi Drojogan and Pangracutan spells in the context of the show is a form of reog orality aspects. Spells are made up of formulas, i.e. tautotes repetition formula, syntactic parallelism formula, concatenate formula, anaphora repetition formula, and epifora repetition formula. With a variety of formulas, the repetition of the spells has become patterned and rhythmic feel, thereby indicating formulaic expression. The formulas and formulaic expressions are the main orality aspects that reflect sacredness and spirituality in reog traditions art. Key Words: spells or magic-formula, formulas, sacredness, spirituality, tradition art
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5

Uko, Livinus U., and Terry L. Barron. "A generalization of Trenkler’s magic cubes formula." Recreational Mathematics Magazine 4, no. 8 (December 20, 2017): 39–45. http://dx.doi.org/10.1515/rmm-2017-0019.

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Abstract A Magic Cube of order p is a p×p×p cubical array with non-repeated entries from the set {1, 2, . . . , p3} such that all rows, columns, pillars and space diagonals have the same sum. In this paper, we show that a formula introduced in The Mathematical Gazette 84(2000), by M. Trenkler, for generating odd order magic cubes is a special case of a more general class of formulas. We derive sufficient conditions for the formulas in the new class to generate magic cubes, and we refer to the resulting class as regular magic cubes. We illustrate these ideas by deriving three new formulas that generate magic cubes of odd order that differ from each other and from the magic cubes generated with Trenkler’s rule.
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6

Jeyanthi, P., and K. Jeya Daisy. "Zk-Magic labeling of subdivision graphs." Discrete Mathematics, Algorithms and Applications 08, no. 03 (August 2016): 1650046. http://dx.doi.org/10.1142/s1793830916500464.

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For any nontrivial abelian group [Formula: see text] under addition a graph [Formula: see text] is said to be [Formula: see text]-magic if there exists a labeling [Formula: see text] such that the vertex labeling [Formula: see text] defined as [Formula: see text] taken over all edges [Formula: see text] incident at [Formula: see text] is a constant. An [Formula: see text]-magic graph [Formula: see text] is said to be [Formula: see text]-magic graph if the group [Formula: see text] is [Formula: see text] the group of integers modulo [Formula: see text]. These [Formula: see text]-magic graphs are referred to as [Formula: see text]-magic graphs. In this paper, we prove that the graphs such as subdivision of ladder, triangular ladder, shadow, total, flower, generalized prism, [Formula: see text]-snake, lotus inside a circle, square, gear, closed helm and antiprism are [Formula: see text]-magic graphs. Also we prove that if [Formula: see text] be [Formula: see text]-magic graphs with magic constant zero then [Formula: see text] is also [Formula: see text]-magic.
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7

Foster, Carl. "Is There a Magic Formula?" International Journal of Sports Physiology and Performance 6, no. 1 (March 2011): 1. http://dx.doi.org/10.1123/ijspp.6.1.1.

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8

Pacejka, Hans B., and Egbert Bakker. "THE MAGIC FORMULA TYRE MODEL." Vehicle System Dynamics 21, sup001 (January 1992): 1–18. http://dx.doi.org/10.1080/00423119208969994.

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9

López, A., P. Vélez, and C. Moriano. "Approximations to the magic formula." International Journal of Automotive Technology 11, no. 2 (April 2010): 155–66. http://dx.doi.org/10.1007/s12239-010-0021-5.

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10

Manjunatha, H. C., N. Sowmya, N. Manjunath, and L. Seenappa. "Investigations on the superheavy nuclei with magic number of neutrons and protons." International Journal of Modern Physics E 29, no. 05 (May 2020): 2050028. http://dx.doi.org/10.1142/s0218301320500287.

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It was recognized that the magic numbers of nuclei 2, 20, 28, 50, 82 and 126 are predicted to be more stable than the neighbor nuclei. Later on the researchers predicted that the magic numbers for protons are 114, 122, 124 and 164 and the magic numbers for neutrons are 184, 196, 236 and 318. The predicted second generation magic number for proton and neutron comes in the superheavy nuclei region. The superheavy nuclei with magic number of protons/neutrons are [Formula: see text]114, [Formula: see text]114, [Formula: see text]122, [Formula: see text]122, [Formula: see text]124, [Formula: see text]124, [Formula: see text]126 and [Formula: see text]126. All the possible decay modes have been studied by using three different models such as modified generalized liquid drop model, dynamical cluster model and coulomb-proximity potential model. In the second part of this study, we have made detailed investigations to synthesize the above said nuclei using fusion reactions with modified Woods–Saxon potential model. This study also identifies the most possible projectile target combinations for the synthesis of the predicted magic nuclei in the superheavy nuclei region.
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11

Saxena, G., M. Kumawat, M. Kaushik, U. K. Singh, S. K. Jain, S. Somorendro Singh, and Mamta Aggarwal. "Implications of occupancy of 2s1/2 state in sd-shell within RMF+BCS approach." International Journal of Modern Physics E 26, no. 11 (November 2017): 1750072. http://dx.doi.org/10.1142/s0218301317500720.

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We employ the relativistic mean-field plus BCS (RMF+BCS) approach to study the behavior of [Formula: see text]-shell by investigating in detail the single particle energies, and proton and neutron density profiles along with the deformations and radii of even–even nuclei. Emergence of new shell closure, weakly bound structure and most recent phenomenon of bubble structure are reported in the [Formula: see text]-shell. [Formula: see text]C, [Formula: see text]O and [Formula: see text]S are found to have a weakly bound structure due to particle occupancy in 2[Formula: see text] state. On the other hand [Formula: see text]O, [Formula: see text]Ca and [Formula: see text]Si are found with depleted central density due to the unoccupied 2[Formula: see text] state and hence they are the potential candidates of bubble structure. [Formula: see text]C and [Formula: see text]O emerge as doubly magic with [Formula: see text] in accord with the recent experiments and [Formula: see text]S emerges as a new proton magic nucleus with [Formula: see text]. [Formula: see text] and [Formula: see text] are predicted as magic numbers in doubly magic [Formula: see text]O, [Formula: see text]Ca and [Formula: see text]Si, respectively. These results are found in agreement with the recent experiments and have consistent with the other parameters of RMF and other theories.
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12

Eniego, Arnold A., and I. J. L. Garces. "The null set of the join of paths." Asian-European Journal of Mathematics 12, no. 04 (July 2, 2019): 1950060. http://dx.doi.org/10.1142/s1793557119500608.

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For positive integer [Formula: see text], a graph [Formula: see text] is said to be [Formula: see text]-magic if the edges of [Formula: see text] can be labeled with the nonzero elements of Abelian group [Formula: see text], where [Formula: see text] (the set of integers) and [Formula: see text] is the group of integers mod [Formula: see text], so that the sum of the labels of the edges incident to any vertex of [Formula: see text] is the same. When this constant sum is [Formula: see text], we say that [Formula: see text] is a zero-sum [Formula: see text]-magic graph. The set of all [Formula: see text] for which [Formula: see text] is a zero-sum [Formula: see text]-magic graph is the null set of [Formula: see text]. In this paper, we will completely determine the null set of the join of a finite number of paths.
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13

Lidner, Lars. "EXPERIENCE WITH THE MAGIC FORMULA TYRE MODEL." Vehicle System Dynamics 21, sup001 (January 1992): 30–46. http://dx.doi.org/10.1080/00423119208969996.

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14

PACEJKA, H. B., and I. J. M. BESSELINK. "Magic Formula Tyre Model with Transient Properties." Vehicle System Dynamics 27, sup001 (January 1997): 234–49. http://dx.doi.org/10.1080/00423119708969658.

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15

Mariotto, A. "Patient partnership is not a magic formula." BMJ 319, no. 7212 (September 18, 1999): 783. http://dx.doi.org/10.1136/bmj.319.7212.783.

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16

Harrison, Jenny. "Cartan’s magic formula and soap film structures." Journal of Geometric Analysis 14, no. 1 (March 2004): 47–61. http://dx.doi.org/10.1007/bf02921865.

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17

Marrani, Alessio, and Luca Romano. "Orbits in nonsupersymmetric magic theories." International Journal of Modern Physics A 34, no. 32 (November 20, 2019): 1950190. http://dx.doi.org/10.1142/s0217751x19501902.

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We determine and classify the electric-magnetic duality orbits of fluxes supporting asymptotically flat, extremal black branes in [Formula: see text] space–time dimensions in the so-called nonsupersymmetric magic Maxwell–Einstein theories, which are consistent truncations of maximal supergravity and which can be related to Jordan algebras (and related Freudenthal triple systems) over the split complex numbers [Formula: see text] and the split quaternions [Formula: see text]. By studying the stabilizing subalgebras of suitable representatives, realized as bound states of specific weight vectors of the corresponding representation of the electric-magnetic duality symmetry group, we obtain that, as for the case of maximal supergravity, in magic nonsupersymmetric Maxwell–Einstein theories there is no splitting of orbits, namely there is only one orbit for each nonmaximal rank element of the relevant Jordan algebra (in [Formula: see text] and 6) or of the relevant Freudenthal triple system (in [Formula: see text]).
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18

Dwivedi, Nishchal R., Saniya Monga, Harjeet Kaur, and Sudhir R. Jain. "Ignatyuk damping factor: A semiclassical formula." International Journal of Modern Physics E 28, no. 08 (August 2019): 1950061. http://dx.doi.org/10.1142/s0218301319500617.

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Data on nuclear-level densities extracted from transmission data or gamma energy spectrum store the basic statistical information about nuclei at various temperatures. Generally, this extracted data goes through model fitting using computer codes like CASCADE. However, recently established semiclassical methods involving no adjustable parameters to determine the level density parameter for magic and semi-magic nuclei give a good agreement with the experimental values. One of the popular ways to paramaterize the level density parameter which includes the shell effects and its damping was given by Ignatyuk. This damping factor is usually fitted from the experimental data on nuclear-level density and it comes around 0.05 [Formula: see text]. In this work, we calculate the Ignatyuk damping factor for various nuclei using semiclassical methods.
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19

Ikram, M., Asloob A. Rather, Bharat Kumar, S. K. Biswal, and S. K. Patra. "Quest for magicity in hypernuclei." International Journal of Modern Physics E 25, no. 12 (December 2016): 1650103. http://dx.doi.org/10.1142/s0218301316501032.

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In the present study, we search the [Formula: see text] magic number in hypernuclei within the framework of relativistic mean field (RMF) theory with inclusion of hyperon–nucleon and hyperon–hyperon potentials. Based on one- and two-lambda separation energy and two-lambda shell gaps, 2, 8, 14, 18, 20, 28, 34, 40, 50, 58, 68, 70 and 82 are suggested to be the [Formula: see text] magic numbers within the present approach. The relative weak strength of [Formula: see text] spin–orbit interaction is responsible for emerging the new lambda shell closures other than the model scheme. The predicted hypernuclear magicity quite resembles with nuclear magicity. In addition, the stability of hypernuclei is also examined by calculating the binding energy per particle, where Ni hypernucleus is found to be most tightly bound triply magic system in considered hypernuclei. Further, nucleon and lambda density distributions are analyzed and it is found that introduced [Formula: see text]’s have significant impact on total density and reduce the central depletion of the core nucleus. Nucleon and lambda spin–orbit interaction potentials are also investigated for predicted triply magic hypernuclei and the addition of [Formula: see text]’s affect both the potentials to a large extent. The single-particle energy levels are analyzed to explain the shell gaps for triply magic multi-[Formula: see text] hypernuclei.
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20

Wang, Jianfeng, Yiqun Liu, Liang Ding, Jun Li, Haibo Gao, Yuhan Liang, and Tianyao Sun. "Neural Network Identification of a Racing Car Tire Model." Journal of Engineering 2018 (May 29, 2018): 1–11. http://dx.doi.org/10.1155/2018/4143794.

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In order to meet the demands of small race car dynamics simulation, a new method of parameter identification in the Magic Formula tire model is presented in this work, based on an analysis of the Magic Formula tire model structure. A high-precision tire model used for vehicle dynamics simulation is established via this method. It is difficult for students to build a high-precision tire model because of the complexity of widely used tire models such as Magic Formula and UniTire. At a pure side slip condition, building a lateral force model is an example, which illustrate the utilization of a multilayer feed-forward neural network to build an intelligent tire model conveniently. In order to fully understand the difference between the two models, a two-degrees-of-freedom (2 DOF) vehicle model is established. The advantages, disadvantages, and applicable scope of the two tire models are discussed after comparing the simulation results of the 2 DOF model with the Magic Formula and intelligent tire model.
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21

Maclaurin, Bruce. "A skid steering model using the Magic Formula." Journal of Terramechanics 48, no. 4 (August 2011): 247–63. http://dx.doi.org/10.1016/j.jterra.2011.04.002.

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22

Foster, BL, and MJ Somerman. "Regenerating the periodontium: is there a magic formula?" Orthodontics and Craniofacial Research 8, no. 4 (November 2005): 285–91. http://dx.doi.org/10.1111/j.1601-6343.2005.00351.x.

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23

Henty, Neil. "Commons inquiry seeks to find the magic formula." Child Care 15, no. 6 (June 2, 2018): 1. http://dx.doi.org/10.12968/chca.2018.15.6.1.

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24

Pan, Wei, Zhengtao Yan, Jingjun Lou, and Shijian Zhu. "Research on MRD Parametric Model Based on Magic Formula." Shock and Vibration 2018 (October 10, 2018): 1–10. http://dx.doi.org/10.1155/2018/1871846.

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In order to get a better description to the nonlinear characteristics of magnetorheological dampers, the magic formula is introduced into the general method of parametric modelling of magnetorheological dampers to propose a new parameterized model called magic formula-hysteresis loop model (MFM). The new model is simple in structure, the physical meaning of each parameter is clear, and the parameter identification is convenient. The fitting and experimental data of MFM and the phenomenon model under different conditions are applied for error analysis and comparison. The results show that the errors of MFM are more accurate and have better fitting and experimental data under different working conditions, which also have better adaptability and versatility.
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25

Marrani, Alessio, Gianfranco Pradisi, Fabio Riccioni, and Luca Romano. "Nonsupersymmetric magic theories and Ehlers truncations." International Journal of Modern Physics A 32, no. 19n20 (July 12, 2017): 1750120. http://dx.doi.org/10.1142/s0217751x17501202.

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We consider the nonsupersymmetric “magic” theories based on the split quaternion and the split complex division algebras. We show that these theories arise as “Ehlers” [Formula: see text] and [Formula: see text] truncations of the maximal supergravity theory, exploiting techniques related to the very-extended Kac–Moody algebras. We also generalize the procedure to other [Formula: see text] truncations, resulting in additional classes of nonsupersymmetric theories, as well as to truncations of nonmaximal theories. Finally, we discuss duality orbits of extremal black hole solutions in some of these nonsupersymmetric theories.
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26

KATAKUSE, I., T. ICHIHARA, H. ITO, T. SAKURAI, and T. MATSUO. "A NEW APPROACH OF THE SIMS METHOD FOR METAL CLUSTERS." Surface Review and Letters 03, no. 01 (February 1996): 551–55. http://dx.doi.org/10.1142/s0218625x96001005.

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The size distributions of ( CsI )n Cs +, [Formula: see text], and [Formula: see text] (M: alkali metal, j=1, 2, 3, 4, 5) clusters were obtained using secondary-ion mass spectrometry. The sizes of stable neutral clusters ( CsI )n and ( Hg )n clusters were determined from the mass spectra of cluster ions ( CsI )n Cs + and ( Hg )nM+. The magic numbers of [Formula: see text] clusters were identical to those of van der Waals type clusters. It is believed that the shell closing cluster [Formula: see text] is at the center of complex clusters [Formula: see text]. The [Formula: see text] clusters were believed to have electronic shell structures from the magic numbers.
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27

Rao, K., R. Kumar, and P. Bohara. "Transient Finite Element Analysis of Tire Dynamic Behavior." Tire Science and Technology 31, no. 2 (April 1, 2003): 104–27. http://dx.doi.org/10.2346/1.2135262.

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Abstract Dynamic behavior of a pneumatic tire is simulated by use of an explicit finite element (FE) code. Different parts of the tire and their corresponding material properties are taken into account in the FE model because they play a significant role in tire dynamics. The work presented in this study discusses simulation of cornering behavior, braking behavior, and combined cornering-cum-braking behavior. The effects of camber angle and grooved tread on tire cornering behavior are discussed. ABAQUS/Explicit, a general non-linear FE code, was used for these simulations. To predict the Magic Formula characteristics over a complete range, various simulations are performed at different normal loads and operating conditions. Predicted Magic Formula curves from the simulation results for various dynamic conditions closely follow the experimental data curves. Even though these simulations demand huge computational resources, the predicted Magic Formula curves can be directly used as input in the complete study of vehicle dynamics. Thus, this proposed approach minimizes the costly experiments needed to determine the Magic Formula characteristics and thereby forms a viable tool in the design and the development of tires.
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28

Guo, W. L., L. L. Zhang, M. Luo, and X. R. Zhang. "Structures and stabilities of (OsnN)0,±(n = 7 − 11) clusters." International Journal of Modern Physics B 29, no. 23 (September 17, 2015): 1550163. http://dx.doi.org/10.1142/s0217979215501635.

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Structures and stabilities of [Formula: see text] clusters have been systematically studied via using density functional theory (DFT) with generalized gradient approximation (GGA). The calculations show that the stable configurations of [Formula: see text] are such structures with one N atom bonded to the external of the basic constructions consisting of Os atoms. Meanwhile, [Formula: see text] clusters [Formula: see text] represent “magic number” effect, and 8 is the magic number. Additionally, the ground-state structures of [Formula: see text] clusters have the best stability, while that of [Formula: see text] cluster possesses the worst stability. The result of the study on the ionization potential (IP) and the electron affinity (EA) shows that there are not topological differences among the configurations of [Formula: see text][Formula: see text] clusters.
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29

BASU, D. N. "NEUTRON AND PROTON DRIP LINES USING THE MODIFIED BETHE–WEIZSÄCKER MASS FORMULA." International Journal of Modern Physics E 13, no. 04 (August 2004): 747–58. http://dx.doi.org/10.1142/s0218301304002491.

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Proton and neutron separation energies are calculated using the extended Bethe–Weizsäcker mass formula. This modified Bethe–Weizsäcker mass formula describes minutely the positions of all the old and the new magic numbers. It accounts for the disappearance of some traditional magic numbers for neutrons and provides extra stability for some new neutron numbers. The neutron and proton drip lines are predicted using this extended Bethe–Weizsäcker mass formula. The implications of the proton drip line on the astrophysical rp-process and of the neutron drip line on the astrophysical r-process are discussed.
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30

Brown, B. Alex. "The oxygen isotopes." International Journal of Modern Physics E 26, no. 01n02 (January 2017): 1740003. http://dx.doi.org/10.1142/s0218301317400031.

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The properties of the oxygen isotopes provide diverse examples of progress made in experiments and theory. This chain of isotopes has been studied from beyond the proton drip line in [Formula: see text]O to beyond the neutron drip line in [Formula: see text]O. This short survey starts with the microscopic G matrix approach for [Formula: see text]O of Kuo and Brown in the 1960’s and shows how theory has evolved. The nuclear structure around the doubly-magic nucleus [Formula: see text]O is particularly simple in terms of the nuclear shell model. The nuclear structure around the doubly-magic nucleus [Formula: see text]O exhibits the coexistence of single-particle and collective structure.
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31

Ismail, M., A. Y. Ellithi, Alaa Khaled, and Hisham Anwer. "New results on nuclear magicity and possible extension of the nuclear landscape." International Journal of Modern Physics E 30, no. 05 (May 2021): 2150038. http://dx.doi.org/10.1142/s0218301321500385.

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In nuclear theory, there is always a quest for possible extensions of the nuclear landscape and extending our knowledge to the limits of nuclear existence. In this study, we examine the stability and structural properties of a wide range of nuclei in super- and ultra-heavy region in a phenomenological semi-microscopic approach. we calculated the shell correlation energy, residual pairing correction energy, two-nucleon separation energy and two-nucleon energy gap for 3670 even–even nuclei along [Formula: see text]-stability line and two-neutron driplines in the ranges [Formula: see text] with [Formula: see text] and [Formula: see text] with [Formula: see text], respectively. To assure reliability and confidence of the new results in the ultra-heavy region, we extended the search space to include heavy and super-heavy nuclei. We report 83 double magic nuclei and address the predominance of proton and neutron magic numbers. Our calculations reproduced known results on nuclear magicity and present strong evidences on islands of stability and magic numbers in super- and ultra-heavy regions. We also address shifts in nuclear magicity along the nuclear landscape close to the [Formula: see text]-stability line and close to the neutron rich regions.
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32

Zhang, Peng, Li Xin Cui, Le He, and Qun Sheng Xia. "Simulation Analysis of Tire Dynamic Model." Applied Mechanics and Materials 312 (February 2013): 167–71. http://dx.doi.org/10.4028/www.scientific.net/amm.312.167.

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The tire dynamics simulation was done for the different speeds on the dry and wet roads with Magic Formula tire model. The coefficients of Magic Formula tire model under different conditions were obtained by means of the tire test data based on the nonlinear least squares method. The Magic Formula has a good ability to fit the test data for the longitudinal, lateral force and align moment. The tire dynamics simulation results show that at 30mph the wet tire peak longitudinal and lateral forces are only slightly less than the dry peak forces. The wet tire peak longitudinal and lateral forces decreases as the tire speed increases. This shows that the speed has a larger impact on the tire force. The align moment is relatively small. So it can be ignored in the vehicle dynamics analysis.
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33

Vitacca, M. "The magic formula of weaning: The doctors’ holy grail." Revista Portuguesa de Pneumologia (English Edition) 17, no. 6 (November 2011): 242–43. http://dx.doi.org/10.1016/j.rppnen.2011.11.001.

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Vitacca, M. "The magic formula of weaning: The doctors’ holy grail." Revista Portuguesa de Pneumologia 17, no. 6 (November 2011): 242–43. http://dx.doi.org/10.1016/j.rppneu.2011.07.003.

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35

Merkl, Franz, Aniko Öry, and Silke W. W. Rolles. "The ‘magic formula’ for linearly edge-reinforced random walks." Statistica Neerlandica 62, no. 3 (July 22, 2008): 345–63. http://dx.doi.org/10.1111/j.1467-9574.2008.00402.x.

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36

Mihg-Kang, Yu. "A discussion on the “magic number” in Hooge's formula." physica status solidi (b) 134, no. 2 (April 1, 1986): 757–62. http://dx.doi.org/10.1002/pssb.2221340236.

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37

Wolff, Reiner, and Yavuz Karagök. "Consistent allocation of cabinet seats: the Swiss Magic Formula." Public Choice 150, no. 3-4 (September 23, 2010): 547–59. http://dx.doi.org/10.1007/s11127-010-9715-5.

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38

Ninan, Stephen, Vaibhav Shete, and Ishan Nadkarni. "FSTire: An Open-Source Magic Formula Parameter Estimation Tool." SAE International Journal of Vehicle Dynamics, Stability, and NVH 5, no. 1 (January 11, 2021): 3–13. http://dx.doi.org/10.4271/10-05-01-0001.

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39

Newman, Ezra. "GR and classical mechanics: Magic?" International Journal of Modern Physics D 27, no. 14 (October 2018): 1846003. http://dx.doi.org/10.1142/s0218271818460033.

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A new fundamental ingredient is introduced in the study of Asymptotically Flat Einstein–Maxwell Spacetimes, namely the change of coordinate systems from the standard ones constructed from the infinite number of possible Bondi null surfaces to those based on the four complex-parameter set, [Formula: see text], of Asymptotically Shear–Free (ASF) null surfaces. ASF coordinate systems are determined by “world-lines” in the parameter space, [Formula: see text]. Setting a Weyl tensor component, defined as the complex-mass-dipole, to zero, a unique complex center of mass/charge “world-line” is obtained. From this line and Bianchi identities, much of classical mechanics is directly obtained: spin, orbital angular momentum, kinematic momentum, angular momentum conservation, energy–momentum conservation, Newton’s second law with Abraham–Lorentz–Dirac radiation reaction, Rocket force and Dirac g-factor.
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40

Cheng, Zhun, and Zhixiong Lu. "Nonlinear Research and Efficient Parameter Identification of Magic Formula Tire Model." Mathematical Problems in Engineering 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/6924506.

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The Magic Formula tire model can describe the mechanical properties of tire accurately and thus is applied in the research field of vehicle dynamics widely. The Magic Formula tire model has the characteristics of a great number of parameters and the high nonlinearity, so it is hard to identify parameters. Researchers generally use different intelligent optimization algorithms for parameter identification. However, in the process of parameter identification, with a few experimental data, parameter identification results generally have the low accuracy, while, in the case of a large number of experimental data, the amount of work done in the experiment will increase and there will be many experimental errors. To solve these problems, this paper researches the longitudinal force of tire and proposes an interpolation method and a method based on the nonlinear research of the tire force. The results of parameter identification experiments on the two kinds of tire data show that both of the two methods can be used for the parameter identification of Magic Formula tire model fast and accurately with only a few experimental data. In addition, this paper proposes a method estimating the maximum longitudinal force and corresponding slip rate.
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41

López-Oramas, Alicia, Oscar Blanch, Emma de Oña Wilhelmi, Alba Fernández-Barral, Daniela Hadasch, Elena Moretti, Pere Munar-Adrover, et al. "VHE observations of binary systems performed with the MAGIC telescopes." International Journal of Modern Physics D 27, no. 10 (July 2018): 1844010. http://dx.doi.org/10.1142/s0218271818440108.

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The improvement on the Imaging Air Cherenkov Technique (IACT) led to the discovery of a new type of sources that can emit at very high energies: the gamma-ray binaries. Only six systems are part of this exclusive class. We summarize the latest results from the observations performed with the MAGIC telescopes on different systems as the gamma-ray binary LS I [Formula: see text]303 and the microquasars SS 433, V404 Cygni and Cygnus X-1, which are considered potential VHE gamma-ray emitters. The binary system LS I [Formula: see text] 303 has been observed by MAGIC in a long-term monitoring campaign. We show the newest results of our search for super-orbital variability also in context of contemporaneous optical observations. Besides, we will present the results of the only super-critical accretor known in our galaxy: SS 433. We will introduce the VHE results achieved with MAGIC after 100[Formula: see text]h of observations on the microquasar Cygnus X-1 and report on the microquasar V404 Cyg, which has been observed with MAGIC after it went through a series of exceptional X-ray outbursts in June 2015.
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42

ADHIKARI, S., and C. SAMANTA. "SYSTEMATIC STUDY OF SHELL EFFECT NEAR DRIP-LINES." International Journal of Modern Physics E 13, no. 05 (October 2004): 987–97. http://dx.doi.org/10.1142/s0218301304002570.

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The variation of nuclear shell effects with nucleon numbers is evaluated using the modified Bethe–Weizsäcker mass formula (BWM) and the measured atomic masses. The shell effects at magic neutron numbers N=8, 20, 28, 50, 82 and 126 and magic proton numbers Z=8, 20, 28, 50 and 82 are found to vary rapidly approaching the drip-lines. The shell effect due to one magic number increases on approaching another magic number. Thus, shell effects are not always negligible near the drip-lines.
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43

Squires, Alexander, Kevin C. Chan, Leon C. Ho, Ian A. Sigal, Ning-Jiun Jan, and Zion Tsz Ho Tse. "MAPS – A Magic Angle Positioning System for Enhanced Imaging in High-Field Small-Bore MRI." Journal of Medical Robotics Research 01, no. 01 (March 2016): 1640004. http://dx.doi.org/10.1142/s2424905x16400043.

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The “magic angle” MRI effect can enhance signal intensity in aligned collagenous structures oriented at approximately 55[Formula: see text] with respect to the main magnetic field. The difficulty of positioning tissue inside closed-bore scanners has hampered magic angle use in research and clinics. An MRI-conditional mechatronic system has been developed to control sample orientation inside a 9.4T small bore MRI scanner. The system orients samples to within 0.5[Formula: see text] and enables a 600% increase in tendon signal intensity.
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44

Nakada, H. "Properties of exotic nuclei and their linkage to the nucleonic interaction." International Journal of Modern Physics E 29, no. 01 (January 2020): 1930008. http://dx.doi.org/10.1142/s021830131930008x.

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The structure of exotic nuclei sheds new light on the linkage of the nuclear structure to the nucleonic interaction. The self-consistent mean-field (SCMF) theories are useful to investigate this linkage, which are applicable to many nuclei covering almost the whole range of the nuclear chart without artificial truncation of model space. For this purpose, it is desired to develop effective interaction for the SCMF calculations well connected to the bare nucleonic interaction. Focusing on ground-state properties, I show the results of SCMF calculations primarily with the Michigan-three-range-Yukawa (M3Y)-type semi-realistic interaction, M3Y-P6 and M3Y-P6a to be precise, and discuss in detail how the nucleonic interaction affects the structure of nuclei including those far off the [Formula: see text]-stability. The central channels of the effective interaction are examined by the properties of the infinite nuclear matter up to the spin dependence and the isospin dependence. While experimental information of the infinite matter is obtained by extrapolating systematic data on finite nuclei in principle, it is not easy to constrain the spin dependence and the isospin dependence without connection to the bare nucleonic interaction. The noncentral channels play important roles in the shell structure of the finite nuclei. The tensor force is demonstrated to affect [Formula: see text]- or [Formula: see text]-dependence of the shell structure and the magic numbers, on which the spin–isospin channel in the central force often acts cooperatively. By using the M3Y-P6 interaction, the prediction of magic numbers is given in a wide range of the nuclear chart, which is consistent with almost all the available data. In relation to the erosion of magic numbers in unstable nuclei, effects of the tensor force on the nuclear deformation are also argued, being opposite between nuclei at the [Formula: see text]- and the [Formula: see text]-closed magicities. Qualitatively consistent with the [Formula: see text]-force effect on the [Formula: see text]-splitting suggested from the chiral effective field theory, the density-dependent LS channel, which is newly introduced in M3Y-P6a, reproduces the observed kinks in the differential charge radii at the [Formula: see text]-closed magic numbers and predicts anti-kinks at the [Formula: see text]-closed magic numbers. The pairing correlation has significant effects on the halos near the neutron drip line. A new mechanism called “unpaired-particle haloing” is disclosed.
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45

Dehghani, V., Gh Forozani, and Kh Benam. "The effect of shell closure on the thermodynamic properties of 207Pb and 89Y." International Journal of Modern Physics E 25, no. 11 (November 2016): 1650098. http://dx.doi.org/10.1142/s0218301316500981.

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Nuclear level densities of [Formula: see text]Pb and [Formula: see text]Y are calculated using the Lipkin–Nogami (LN) method and Bradeen–Cooper–Schrieffer (BCS) model. It is revealed that the calculated nuclear level densities are highly matched with the experimental data of Oslo group. The excitation energy and entropy are calculated for mentioned nuclei. In the case of two studied nuclei the characteristic of being magic for the number of neutrons or protons causes the decrease of the excitation energy and entropy contribution of magic system at low temperatures.
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46

Vinayak, A., M. M. Hosamani, P. N. Patil, and N. M. Badiger. "Determination of single neutron spectroscopic factor of doubly shell closed, neutron shell closed and neutron-rich nuclei through (d,p) reaction." International Journal of Modern Physics E 29, no. 06 (June 2020): 2050030. http://dx.doi.org/10.1142/s0218301320500305.

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The spectroscopic factor (SF) of doubly-magic nuclei, neutron shell closed and neutron-rich nuclei has been determined through ([Formula: see text], [Formula: see text]) reaction in the projectile energy range from 3 to 26[Formula: see text]MeV. The theoretical angular differential cross-sections of ([Formula: see text], [Formula: see text] reactions in scattering center-of-mass angles from [Formula: see text] to [Formula: see text] have been calculated using FRESCO and NRV-DWUCK5 codes. By comparing the theoretical angular differential cross-sections with available experimental angular differential cross-sections, the values of SF have been determined. The exponential increase of SF as a function of neutron separation energy normalized by spin of the recoil nuclei has been shown for the first time for doubly-magic nuclei. The similar type of trend has also been observed for neutron-rich as well as neutron shell closed nuclei as a function of neutron separation energy normalized by asymmetric factor of recoil nucleus. More experimental data are required to verify the trend predicted by this investigation.
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47

Perelman, Carlos Castro. "A note on Jordan algebras, three generations and exceptional periodicity." International Journal of Geometric Methods in Modern Physics 17, no. 05 (April 2020): 2050071. http://dx.doi.org/10.1142/s0219887820500711.

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It is shown that the algebra [Formula: see text] based on the complexified Exceptional Jordan, and the complex Clifford algebra in 4D, is rich enough to describe all the spinorial degrees of freedom of three generations of fermions in 4D, and include additional fermionic dark matter candidates. Furthermore, the model described in this paper can account also for the Standard Model gauge symmetries. We extend these results to the Magic Star algebras of Exceptional Periodicity developed by Marrani–Rios–Truini and based on the Vinberg cubic [Formula: see text] algebras which are generalizations of exceptional Jordan algebras. It is found that there is a one-to-one correspondence among the real spinorial degrees of freedom of four generations of fermions in 4D with the off-diagonal entries of the spinorial elements of the [Formula: see text] [Formula: see text] of Vinberg matrices at level [Formula: see text]. These results can be generalized to higher levels [Formula: see text] leading to a higher number of generations beyond 4. Three [Formula: see text] of [Formula: see text] algebras and their conjugates [Formula: see text] were essential in the Magic Star construction of Exceptional Periodicity that extends the [Formula: see text] algebra to [Formula: see text] with [Formula: see text] integer.
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48

Ružinskas, Andrius, and Henrikas Sivilevičius. "Magic Formula Tyre Model Application for a Tyre-Ice Interaction." Procedia Engineering 187 (2017): 335–41. http://dx.doi.org/10.1016/j.proeng.2017.04.383.

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49

Batson, Wendy, Stephen Lord, Joan Schaeffer, and Susan Smith. "Good Results on the National Spanish Examination: No Magic Formula." Hispania 76, no. 1 (March 1993): 156. http://dx.doi.org/10.2307/344656.

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50

Intissar, Abdelkader. "Regularized trace formula of magic Gribov operator on Bargmann space." Journal of Mathematical Analysis and Applications 437, no. 1 (May 2016): 59–70. http://dx.doi.org/10.1016/j.jmaa.2015.12.059.

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