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Journal articles on the topic 'Universe with cubic shape'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

BILOTTA, ELEONORA, GIANPIERO DI BLASI, FAUSTO STRANGES, and PIETRO PANTANO. "A GALLERY OF CHUA ATTRACTORS PART V." International Journal of Bifurcation and Chaos 17, no. 05 (2007): 1383–511. http://dx.doi.org/10.1142/s0218127407018099.

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Chua Oscillator and its generalizations display a variety of chaotic behaviors, whose most startling manifestation is the presence of strange attractors. These come in many different shapes and sizes yet share a special kind of beauty. In the work reported in this paper, we explored the universe of these attractors — much of which is still virgin territory. We then recorded the most interesting and significant in a "Gallery of Chua attractors". In papers, published in previous issues of this journal, we showed how different versions of the Oscillator follow different "routes to chaos". Parts I

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PRÉVOT, GEOFFROY, and BERNARD CROSET. "EQUILIBRIUM CONFIGURATIONS OF TWO-DIMENSIONAL STRESSED DOMAINS ON THE SURFACE OF ISOTROPIC AND CUBIC CRYSTALS." Surface Review and Letters 16, no. 04 (2009): 545–62. http://dx.doi.org/10.1142/s0218625x09012925.

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In this paper, we derive analytical formulations of the elastic energy of a stressed domain on a crystalline substrate. Taking care of the singularity of the elastic Green function at r = 0, we obtain a universal expression for the isotropic case. By using the analogy between electric dipolar and elastic interactions, we developed similar analytical calculations for the (001) surface of a cubic crystal. We showed that the anisotropy of the boundary energy and the anisotropy of the substrate govern the shape of the domains, favoring either compact shapes or stripe configurations. The analytical

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Chekalin, A. A., M. K. Reshetnikov, V. V. Shpilev, S. V. Borodulina, and S. A. Ryazanov. "MODELING ARCHITECTURAL FORM SURFACE DEPENDENT SECTIONS." Construction and industrial safety, no. 20(72) (2021): 53–58. http://dx.doi.org/10.37279/2413-1873-2021-20-53-58.

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For the design of surfaces in architecture, as a rule, universal techniques developed for other technical industries are used. First of all, these are general kinematic surfaces and interpolation cubic splines for modeling complex piecewise smooth surfaces. The authors propose to use the fourth degree inerodifferential spline developed by them for problems of geometric modeling of architectural forms. For calculations and constructions on a computer, the proposed spline is not much more complicated than traditional cubic splines, since it has one additional parameter - a coefficient. However,

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Gazizova, A., and D. Nasirova. "STRUCTURE AND COMPOSITION OF NEUTRON STARS." SCIENTIFIC-DISCUSSION, no. 82 (November 13, 2023): 28–29. https://doi.org/10.5281/zenodo.10117477.

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Neutron stars represent one of the most exotic astronomical objects in the universe. In this article, a model describing the structure and properties of neutron stars will be considered, as well as the advantages of dense stars. The neutron star model is based on the idea that the core of a star, having exhausted its reserves of nuclear fuel, shrinks under its own gravity to an extremely high density. As a result, an object is formed consisting mainly of neutrons, and not of protons and electrons, as is the case with ordinary stars. The density of neutron stars can reach several million tons p

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Kartashova, E., E. Pelinovsky, and T. Talipova. "Fourier spectrum and shape evolution of an internal Riemann wave of moderate amplitude." Nonlinear Processes in Geophysics 20, no. 4 (2013): 571–80. http://dx.doi.org/10.5194/npg-20-571-2013.

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Abstract. The nonlinear deformation of long internal waves in the ocean is studied using the dispersionless Gardner equation. The process of nonlinear wave deformation is determined by the signs of the coefficients of the quadratic and cubic nonlinear terms; the breaking time depends only on their absolute values. The explicit formula for the Fourier spectrum of the deformed Riemann wave is derived and used to investigate the evolution of the spectrum of the initially pure sine wave. It is shown that the spectrum has exponential form for small times and a power asymptotic before breaking. The

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Chen, Zhiyong. "Universal CubeSat Platform Design Technique." MATEC Web of Conferences 179 (2018): 01002. http://dx.doi.org/10.1051/matecconf/201817901002.

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This article summarizes cubesat technology, provides examples of their scientific impact, and describes the design and the manufacturing of a Cubesat platform. As for the design of the overall frame structure of the CubeSat, we have searched a lot of literature and consulted many predecessors' designs, and collected many satellite structure images. After analyzing the data, we aimed at all kinds of different structures’ advantages and disadvantages, finally we got a best design. It is a satellite of cubic shape (10 cm per side), weighing approximately 1kg, based on the creation of a central bo

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7

Ha, Bong Soo. "A Study on the Utilization of Cubic Unit Modelling: Mainly on the basis of producing & demonstrating FDP pilot product." Korea Institute of Design Research Society 7, no. 3 (2022): 267–76. http://dx.doi.org/10.46248/kidrs.2022.3.267.

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This paper examines development of Flexible Design Pattern pilot product & possibility of commercialization through demonstration. Above all, it concentrated on developing pilot product of ceramic, architectural materials for universal use & concrete for commercialization and grasped merit & demerit with product through demonstration. Above all, the process of developing pilot product is producing mold through selecting FDP unit type and modelling & 3D printing. In case of mold(output of PLA materials) which was to form clay for pottery that was attempted in the 1st place, it f

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Baykov, A. V., R. A. Turusov, A. N. Trofimov, and L. V. Pleshkov. "NUMERICAL SIMULATION OF THE ELASTIC BEHAVIOR OF SYN-CYCLE COMPOSITES BASED ON HOLLOW GLASS MICROSPHERES UNDER TENSION." Problems of strenght and plasticity 83, no. 1 (2021): 22–34. http://dx.doi.org/10.32326/1814-9146-2021-83-1-22-34.

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Using the universal software package “Solid Works”, on the example of a cubic model of a composite based on hollow glass microspheres (HGM), numerical simulation of the elastic behavior of a syntactic material under uniaxial tension is carried out. The chosen computational model is a hollow thin-walled glass sphere placed in a polymer (epoxy) matrix of cubic shape. The model was calculated using the finite-element method in an elastic approach with boundary conditions defined by the used universal software system of 3D modeling of the “Solid Works” complex. The calculations made it possible to

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9

MATSUTANI, SHIGEKI, YOSHIYUKI SHIMOSAKO, and YUNHONG WANG. "NUMERICAL COMPUTATIONS OF CONDUCTIVITY IN CONTINUUM PERCOLATION FOR OVERLAPPING SPHEROIDS." International Journal of Modern Physics C 21, no. 06 (2010): 709–29. http://dx.doi.org/10.1142/s0129183110015348.

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By numerically solving the generalized Laplace equations by means of the finite difference method, we investigated isotropic electric conductivity of a three-dimensional continuum percolation model consisting of overlapped spheroids of revolution in continuum. Since the computational results strongly depend upon parameters in the discretization methods of the finite difference method, we explored the dependences in details to construct the computational scheme which can represent the continuum percolation model well. Using the discrete scheme, we obtained the conductivity curves, σ =c (p -pc)t

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Tateyama, Kohei, Hiroyuki Yamada, and Nagahisa Ogasawara. "Effect of Strain Rate on Compressive Behaviour of Silicone Rubber." EPJ Web of Conferences 183 (2018): 02044. http://dx.doi.org/10.1051/epjconf/201818302044.

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The purpose of this study is to evaluate the effect of strain rate on compressive behaviour of silicone rubber. The silicone rubber which was used as biomimetic material was prepared as a specimen. The shape of specimen was cubic and each side length was 10 mm. In this study, a dynamic compressive test was performed using a drop-weight testing machine at the strain rate of approximately 101 s-1, which can be detect the compressive stress for a long time without any disturbance. For comparison, a quasi-static compressive test was performed using the universal testing machine at the strain rate

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Tugay, A. V., S. Yu Shevchenko, and L. V. Zadorozhna. "DETERMINATION OF GALAXY DISTRIBUTION WITH STATISTICAL MOMENTS." Odessa Astronomical Publications 34 (December 3, 2021): 30–34. http://dx.doi.org/10.18524/1810-4215.2021.34.244253.

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In this report we discuss topological studies of large scale structure of the Universe (LSS) from XMM-Newton, Sloan Digital Sky Survey and simulated data of galaxy distribution. Early works in this mentioned field were based on genus statistics, which is averaged curvature of isosurface of smoothed density field. Later, significant number of other methods was developed. This comprise Euler characteristics, Minkowski functionals, Voronoi clustering, alpha shapes, Delanuay tesselation, Morse theory, Hessian matrix and Soneira-Peebles models. In practice, modern topology methods are reducedto cal

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Kamboj, Vipul. "Shape of Our Universe." International Journal of Scientific and Research Publications (IJSRP) 9, no. 1 (2019): p8571. http://dx.doi.org/10.29322/ijsrp.9.01.2019.p8571.

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Babichev, E., C. Charmousis, A. Lehébel, and T. Moskalets. "Black holes in a cubic Galileon universe." Journal of Cosmology and Astroparticle Physics 2016, no. 09 (2016): 011. http://dx.doi.org/10.1088/1475-7516/2016/09/011.

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14

Pop, Mihaela. "Is the Universe spherical or rectangular? Cosmas Indicopleustes and his cosmographical interpretation." Revista CICSA online, Serie Nouă, no. 8 (2022): 138–46. http://dx.doi.org/10.31178/cicsa.2022.8.7.

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This paper aims at unveiling why and how was possible, during the 6th century AD that the Greek ancient spherical vision of the universe could have been replaced for a while by a cubic/rectangular vision. We will refer to Cosmas Indicopleustes’ work Christian Topography which was written by 550-552 AD. Our paper has two parts: a first one shortly refers to the spherical form of the universe theorized by the ancient Greek philosophers and a second part, more extended, is centred on Cosmas’ theory of the rectangular/cubic form of the universe. Cosmas Indicopleustes’ work is Christian Topography

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15

Ellis, George F. R. "The shape of the Universe." Nature 425, no. 6958 (2003): 566–67. http://dx.doi.org/10.1038/425566a.

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16

Wesson, Paul S. "The shape of the universe." Astronomy & Geophysics 43, no. 6 (2002): 6.13–6.16. http://dx.doi.org/10.1046/j.1468-4004.2002.43613.x.

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17

Meybodi, Alireza Emami. "The Shape of the Universe." International Journal of Cosmology, Astronomy and Astrophysics 4, no. 2 (2022): 189–91. http://dx.doi.org/10.18689/ijcaa-1000133.

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18

Sharma, Shamli, Kuldip Katiyar, Gadug Sudhamsu, Manjinder Kaur Wratch, and Rohit Salgotra. "Positivity-Preserving Rational Cubic Fractal Interpolation Function Together with Its Zipper Form." Axioms 13, no. 9 (2024): 584. http://dx.doi.org/10.3390/axioms13090584.

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In this paper, a novel class of rational cubic fractal interpolation function (RCFIF) has been proposed, which is characterized by one shape parameter and a linear denominator. In interpolation for shape preservation, the proposed rational cubic fractal interpolation function provides a simple but effective approach. The nature of shape preservation of the proposed rational cubic fractal interpolation function makes them valuable in the field of data visualization, as it is crucial to maintain the original data shape in data visualization. Furthermore, we discussed the upper bound of error and

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19

Yang, Luo, and Zhu Huiyan. "Shape preserving piecewise cubic interpolation." Applied Mathematics 11, no. 4 (1996): 419–24. http://dx.doi.org/10.1007/bf02662881.

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20

Abdul Karim, Samsul Ariffin, and Kong Voon Pang. "Shape Preserving Interpolation UsingC2Rational Cubic Spline." Journal of Applied Mathematics 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/4875358.

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This paper discusses the construction of newC2rational cubic spline interpolant with cubic numerator and quadratic denominator. The idea has been extended to shape preserving interpolation for positive data using the constructed rational cubic spline interpolation. The rational cubic spline has three parametersαi,βi, andγi. The sufficient conditions for the positivity are derived on one parameterγiwhile the other two parametersαiandβiare free parameters that can be used to change the final shape of the resulting interpolating curves. This will enable the user to produce many varieties of the p

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21

Jawad, Abdul, and Sadaf Maqsood. "Gravitationally induced particle creation in cubic gravity." International Journal of Geometric Methods in Modern Physics 18, no. 07 (2021): 2150106. http://dx.doi.org/10.1142/s0219887821501061.

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In this work, we consider gravitationally induced particle creation scenario to discuss the validity of thermodynamic laws in the context of cubic gravity which is based on an invariant term and constructed from cubic contraction of the Riemann tensor. We consider spatially flat FRW universe filled with a perfect fluid assuming an equation of state [Formula: see text] with [Formula: see text]. By taking the Hubble horizon as the boundary of the universe, we investigate the first and generalized second law of thermodynamics along with thermodynamic equilibrium in the presence of Bekenstein entr

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22

S, Kalimuthu. "On Algebra, Cosmic Triangles and the shape of our Universe." Annals of Mathematics and Physics 5, no. 1 (2022): 009–10. http://dx.doi.org/10.17352/amp.000033.

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The curvature parameter k and the density parameter omega play the dominant phenomena determining the fate of our universe. According to these two scales, the geometry of the universe has three possibilities namely, flat, open, or closed. The flat and open universe will have continual expansion. But the closed universe will turn around and collapse. If k is zero, the universe is flat, if it is greater than zero, it is closed and if k is less than zero the universe will be open. And if the density parameter Omega is one (1), the universe is flat, if it is greater than one, the universe will be

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23

Munir, N. A. A. A., N. A. Hadi, and M. A. S. Nasir. "C1 Cubic Trigonometric Spline with a Shape Parameter for Positive Shape Preservation." Malaysian Journal of Mathematical Sciences 16, no. 1 (2022): 55–66. http://dx.doi.org/10.47836/mjms.16.1.05.

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This paper presents a new construction of C1 cubic trigonometric spline interpolation. Instead of repositioning control points, a shape parameter is introduced in the spline to control the shape and behaviour of the curves. The built basis functions fulfil all the geometric properties of the standard cubic Bezier curve, and the proof is included in this paper. Then, the interpolation of the spline is illustrated using suitable parameter values. Every curve segment comprises four successive control points with a cubic trigonometric spline that carries out all the curve properties. The result sh

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24

Yu, Ziguan. "The Flatness of The Universe Through Theory and Observations." Highlights in Science, Engineering and Technology 112 (August 20, 2024): 314–18. http://dx.doi.org/10.54097/b816cb51.

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Understanding the universe's shape is crucial for cosmology. Whether the shape is flat not only influences many other studies based on the assumption that the universe is flat but also helps people to build a better model to explain the evolution of the universe. This paper introduces several available methods to determine its flatness, focusing on the basic ideas and related theories. The paper mainly introduces the method of using the CMB's angular power spectrum to determine the universe's shape and gives the conclusion of a flat universe. Utilizing the lambda-CDM model, which suggests a ne

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Wan jaafar, Wan nurhadani, Siti Jasmida Jamil, Shakila Saad, and Nooraihan Abdullah. "Visualization of monotonic shaped data by a rational cubic Ball." Applied Mathematics and Computational Intelligence (AMCI) 14, no. 1 (2025): 1–11. https://doi.org/10.58915/amci.v14i1.36.

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This paper discusses the monotonicity-preserving curve interpolation of 2D monotone data. A piecewise rational cubic Ball function in form of (cubic numerator /cubic denominator), with four shape parameters is presented. The rational cubic Ball spline has four shape parameters in its descriptions where two of them are constrained shape parameters and remaining two of them provide the freedom to user to easily control the shape of the curve by simply changing their values. The sufficient data dependent conditions are derived for two shape parameters to insure the monotonicity everywhere. Numeri

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Wang, Juxia, Decong Zheng, Qingliang Cui, Shuanghua Xu, and Bingyao Jiang. "STUDY ON TENSILE MECHANICAL PROPERTY AND MICROSTRUCTURE OF FRUIT AND VEGETABLE PEELS." INMATEH Agricultural Engineering 59, no. 3 (2019): 227–36. http://dx.doi.org/10.35633/inmateh-59-25.

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Fruit and vegetable peels exert a protective effect on fruits as constituent parts of the outermost tissue and their properties are of great importance to reducing fruit and vegetable mechanical injury. Four kinds of fruit and vegetable peels such as Nagafu apple, Crisp pear, Tainong mango and long eggplant were chosen to perform longitudinal and transverse tests of tensile property by means of electronic universal testing machine. Stress-strain curve, tensile strength, elastic modulus and fracture strain of peels were obtained; and the microstructures of four kinds of peels were scanned using

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27

Epstein, Peter Fisher. "Shape Perception in a Relativistic Universe." Mind 127, no. 506 (2017): 339–79. http://dx.doi.org/10.1093/mind/fzw034.

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28

Li, Juncheng, and Chengzhi Liu. "Cubic Trigonometric Hermite Interpolation Curve: Construction, Properties, and Shape Optimization." Journal of Function Spaces 2022 (December 21, 2022): 1–16. http://dx.doi.org/10.1155/2022/7525056.

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Cubic Hermite interpolation curve plays a very important role in interpolation curves modeling, but it has three shortcomings including low continuity, difficult shape adjustment, and the inability to accurately represent some common engineering curves. We construct a cubic trigonometric Hermite interpolation curve to make up the three shortcomings of cubic Hermite interpolation curve once and for all. The cubic trigonometric Hermite interpolation curve not only inherits the features of cubic Hermite interpolation curve but also achieves C2 continuity, has local and global adjustability, and c

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Ibrahim, Asma, and Nadia Albergail. "The Cubic Bezier-Ball Like curve with Shape Parameters." مجلة الجامعة الأسمرية: العلوم التطبيقية 4, no. 1 (2019): 68–79. http://dx.doi.org/10.59743/aujas.v4i1.1234.

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In this paper the basic spotlight is construct new cubic basis functions to generate rational cubic Bezier-Ball Like curve with two shape parameters. The current study the Bezier-Ball Like curve analogous to cubic Bezier curve, Ball curve, and Timmer curve at specific value of shape parameters. The shape of the curve can be modified by change the value of shape parameters and weights. In this work the Arabic font can be represented using Bezier-Ball Like curve.

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30

Ibraheem, Farheen, Shamaila Samreen, Muhammad Bilal Riaz, and Tayba Arooj. "Shape-Preserving Curve and Surface Data Embedding Algorithm." Scientific Inquiry and Review 7, no. 2 (2023): 1–37. http://dx.doi.org/10.32350/sir.72.01.

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In this study, shape preserving data driven rational cubic schemes are developed. A rational cubic piecewise function (quadratic denominator and cubic numerator) with two parameters was transformed to C1 rational cubic piecewise function. Constraints were derived on free parameters by means of some mathematical derivations to train and demonstrate convex curve. The scheme, then, was advanced to partially blended rational bi-cubic function with eight free parameters which were controlled to ascertain convex surface. A numerical comparison with certain existing schemes manifested that the propos

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31

FANG, LI-ZHI. "SIZE OF MULTIPLY-CONNECTED UNIVERSE AND COSMIC BACKGROUND RADIATION." Modern Physics Letters A 08, no. 28 (1993): 2615–21. http://dx.doi.org/10.1142/s0217732393002993.

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A few years ago, we proposed that the spatial topology of the universe can be detected by cosmic background radiation (CBR), because the amplitudes of the spherical harmonic expansion of CBR anisotropy are sensitively dependent on the size of the universe. Recently, this method has been applied to study the size of a T3 universe by using the COBE-DMR data of CBR temperature fluctuation. The new result of the lower limit to the cosmologically spatial size is found to be larger than the old values by a factor of about 5. Therefore, the model of cubic T3 small universe can be ruled out. This pape

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32

Fu, Yunyi, and Yuanpeng Zhu. "A Generalized Quasi Cubic Trigonometric Bernstein Basis Functions and Its B-Spline Form." Mathematics 9, no. 10 (2021): 1154. http://dx.doi.org/10.3390/math9101154.

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In this paper, under the framework of Extended Chebyshev space, four new generalized quasi cubic trigonometric Bernstein basis functions with two shape functions α(t) and β(t) are constructed in a generalized quasi cubic trigonometric space span{1,sin2t,(1−sint)2α(t),(1−cost)2β(t)}, which includes lots of previous work as special cases. Sufficient conditions concerning the two shape functions to guarantee the new construction of Bernstein basis functions are given, and three specific examples of the shape functions and the related applications are shown. The corresponding generalized quasi cub

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33

Eingorn, Maxim, Ezgi Canay, Jacob M. Metcalf, Maksym Brilenkov, and Alexander Zhuk. "Effect of the Cubic Torus Topology on Cosmological Perturbations." Universe 7, no. 12 (2021): 469. http://dx.doi.org/10.3390/universe7120469.

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We study the effect of the cubic torus topology of the Universe on scalar cosmological perturbations which define the gravitational potential. We obtain three alternative forms of the solution for both the gravitational potential produced by point-like masses, and the corresponding force. The first solution includes the expansion of delta-functions into Fourier series, exploiting periodic boundary conditions. The second one is composed of summed solutions of the Helmholtz equation for the original mass and its images. Each of these summed solutions is the Yukawa potential. In the third formula

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Lee, Jeong-Gon, Kul Hur, and Xueyou Chen. "A Study on Cubic H-Relations in a Topological Universe Viewpoint." Mathematics 8, no. 4 (2020): 482. http://dx.doi.org/10.3390/math8040482.

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We introduce the concrete category CRel P ( H ) [resp. CRel R ( H ) ] of cubic H-relational spaces and P-preserving [resp. R-preserving] mappings between them and study it in a topological universe viewpoint. In addition, we prove that it is Cartesian closed over Set . Next, we introduce the subcategory CRel P , R ( H ) [resp. CRel R , R ( H ) ] of CRel P ( H ) [resp. CRel R ( H ) ] and investigate it in the sense of a topological universe. In particular, we obtain exponential objects in CRel P , R ( H ) [resp. CRel R , R ( H ) ] quite different from those in CRel P ( H ) [resp. CRel R ( H ) ]

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35

Sotta, P. "Equilibrium shape of lyotropic cubic monocrystals." Journal de Physique II 1, no. 7 (1991): 763–72. http://dx.doi.org/10.1051/jp2:1991108.

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36

PRUESS, STEVEN. "Shape preserving C2 cubic spline interpolation." IMA Journal of Numerical Analysis 13, no. 4 (1993): 493–507. http://dx.doi.org/10.1093/imanum/13.4.493.

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37

Hussain, Malik Zawwar, Maria Hussain, and Madiha Amjad. "Shape preserving rational bi-cubic function." Egyptian Informatics Journal 13, no. 3 (2012): 147–54. http://dx.doi.org/10.1016/j.eij.2012.06.001.

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38

Gabrielides, Nikolaos C., and Nickolas S. Sapidis. "Shape Analysis of Generalized Cubic Curves." Computer-Aided Design 125 (August 2020): 102849. http://dx.doi.org/10.1016/j.cad.2020.102849.

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39

Volkov, Yu S., V. V. Bogdanov, V. L. Miroshnichenko, and V. T. Shevaldin. "Shape-preserving interpolation by cubic splines." Mathematical Notes 88, no. 5-6 (2010): 798–805. http://dx.doi.org/10.1134/s0001434610110209.

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40

Sarfraz, Muhammad. "Cubic spline curves with shape control." Computers & Graphics 18, no. 5 (1994): 707–13. http://dx.doi.org/10.1016/0097-8493(94)90165-1.

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Ammad, Muhammad, Md Yushalify Misro, Muhammad Abbas, and Abdul Majeed. "Generalized Developable Cubic Trigonometric Bézier Surfaces." Mathematics 9, no. 3 (2021): 283. http://dx.doi.org/10.3390/math9030283.

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This paper introduces a new approach for the fabrication of generalized developable cubic trigonometric Bézier (GDCT-Bézier) surfaces with shape parameters to address the fundamental issue of local surface shape adjustment. The GDCT-Bézier surfaces are made by means of GDCT-Bézier-basis-function-based control planes and alter their shape by modifying the shape parameter value. The GDCT-Bézier surfaces are designed by maintaining the classic Bézier surface characteristics when the shape parameters take on different values. In addition, the terms are defined for creating a geodesic interpolating

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42

Li, Juncheng, and Dongbiao Zhao. "An Investigation on Image Compression Using the Trigonometric Bézier Curve with a Shape Parameter." Mathematical Problems in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/731648.

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A trigonometric Bézier curve analogous to the cubic polynomial Bézier curve, with a shape parameter, is presented in this work. The proposed curve inherits properties similar to those of cubic polynomial Bézier curve, and the shape of the curve can be adjusted by altering the value of the shape parameter while the control polygon is fixed. With the shape parameter, the proposed curve can be made closer to the given control polygon than the general cubic Bézier curve. Then, image compression using the trigonometric Bézier curve approximation method is investigated. Experimental results show tha

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Aurich, Ralf, and Frank Steiner. "Betti Functionals as Probes for Cosmic Topology." Universe 10, no. 5 (2024): 190. http://dx.doi.org/10.3390/universe10050190.

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The question of the global topology of the Universe (cosmic topology) is still open. In the ΛCDM concordance model, it is assumed that the space of the Universe possesses the trivial topology of R3, and thus that the Universe has an infinite volume. As an alternative, in this paper, we study one of the simplest non-trivial topologies given by a cubic 3-torus describing a universe with a finite volume. To probe cosmic topology, we analyze certain structure properties in the cosmic microwave background (CMB) using Betti functionals and the Euler characteristic evaluated on excursions sets, which

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44

Sarfraz, Muhammad, Shamaila Samreen, and Malik Zawwar Hussain. "A Quadratic Trigonometric Nu Spline with Shape Control." International Journal of Image and Graphics 17, no. 03 (2017): 1750015. http://dx.doi.org/10.1142/s0219467817500152.

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A significant curve modeling technique has been introduced with a view to its applications in geometric modeling, computer graphics and computer-aided design. It is a new spline method using quadratic trigonometric functions with well-controlled shape influences of parameters introduced through geometric continuity of order two. The proposed curve model owns the best possible geometric properties such as convex hull, partition of unity, affine invariance and variation diminishing. A quadratic normally has three control points giving lesser flexibility to one piece of curve. However, a cubic ha

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45

Jensen, Richard. "The Changing Shape of Burnham's Political Universe." Social Science History 10, no. 3 (1986): 209. http://dx.doi.org/10.2307/1171125.

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GOMERO, G. I., M. J. REBOUÇAS, and A. F. F. TEIXEIRA. "SIGNATURE FOR THE SHAPE OF THE UNIVERSE." International Journal of Modern Physics D 09, no. 06 (2000): 687–96. http://dx.doi.org/10.1142/s021827180000075x.

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If the universe has a nontrivial shape (topology) the sky may show multiple correlated images of cosmic objects. These correlations can be couched in terms of distance correlations. We propose a statistical quantity which can be used to reveal the topological signature of any Robertson–Walker (RW) spacetime with nontrivial topology. We also show through computer-aided simulations how one can extract the topological signatures of flat, elliptic, and hyperbolic RW universes with nontrivial topology.

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Adams, Colin, and Joey Shapiro. "The Shape of the Universe: Ten Possibilities." American Scientist 89, no. 5 (2001): 443. http://dx.doi.org/10.1511/2001.34.741.

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Jensen, Richard. "The Changing Shape of Burnham’s Political Universe." Social Science History 10, no. 3 (1986): 209–19. http://dx.doi.org/10.1017/s0145553200015431.

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The discipline of political science deliberately abandoned history sixty years ago. In a quest for a true “science” of politics, it turned to physics and especially psychology for models of what a science ought to be like (Jensen, 1969). Rigor in defining and measuring variables and in the statement of theories and testing of hypotheses was sought, plus a method that could predict, and thus control, the future. History seemed unnecessary, for the terrible cataclysm of the Great War seemed to have erased or smothered the impact of the past. It would take political scientists a half century to r

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Shapiro, Joey. "The Shape of the Universe: Ten Possibilities." American Scientist 89, no. 5 (2001): 443. http://dx.doi.org/10.1511/2001.34.443.

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Shao, Hui Ping, Tao Lin, Ji Luo, and Zhi Meng Guo. "Effect of Surfactants on Modifying the Surface of Magnetic Nanoparticles by Thermal Decomposition." Advanced Materials Research 335-336 (September 2011): 951–55. http://dx.doi.org/10.4028/www.scientific.net/amr.335-336.951.

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The nanosize magnetic particles were synthesized by thermal decomposition method with size distribution in the range of 10 ~ 30 nm. Different category and quantity of surfactants were used modifying the surface of the synthesized nanoparticles to control the particles’ shape and size. Multi-shapes, such as uniformity cubic, mixture of spherical and cubic, and the similar chick footmarks, were acquired in our experiment by different surfactants. It indicates the surfactant is a key factor for the size and shape of particles. The surfactants of PVP and oleylamine made the particle shape be unifo

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