Log in

Relevant bibliographies by topics / Inhomogeneous / Journal articles

Journal articles on the topic 'Inhomogeneous'

To see the other types of publications on this topic, follow the link: Inhomogeneous.

Author: Grafiati

Published: 4 June 2021

Last updated: 11 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Inhomogeneous.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Ramírez, Felipe A. "Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation." International Journal of Number Theory 13, no. 03 (February 9, 2017): 633–54. http://dx.doi.org/10.1142/s1793042117500324.

Full text

Abstract:

We develop the inhomogeneous counterpart to some key aspects of the story of the Duffin–Schaeffer Conjecture (1941). Specifically, we construct counterexamples to a number of candidates for a sans-monotonicity version of Szüsz’s inhomogeneous (1958) version of Khintchine’s Theorem (1924). For example, given any real sequence [Formula: see text], we build a divergent series of non-negative reals [Formula: see text] such that for any [Formula: see text], almost no real number is inhomogeneously [Formula: see text]-approximable with inhomogeneous parameter [Formula: see text]. Furthermore, given any second sequence [Formula: see text] not intersecting the rational span of [Formula: see text], and assuming a dynamical version of Erdős’ Covering Systems Conjecture (1950), we can ensure that almost every real number is inhomogeneously [Formula: see text]-approximable with any inhomogeneous parameter [Formula: see text]. Next, we prove a positive result that is near optimal in view of the limitations that our counterexamples impose. This leads to a discussion of natural analogues of the Duffin–Schaeffer Conjecture and Duffin–Schaeffer Theorem (1941) in the inhomogeneous setting. As a step toward these, we prove versions of Gallagher’s Zero-One Law (1961) for inhomogeneous approximation by reduced fractions.

APA, Harvard, Vancouver, ISO, and other styles

2

SCHÜTZ, PETER, and MATHIAS BODE. "DISCRETE COUPLING AND PROPAGATING SIGNALS." International Journal of Bifurcation and Chaos 06, no. 10 (October 1996): 1891–900. http://dx.doi.org/10.1142/s0218127496001223.

Full text

Abstract:

Biological systems quite often consist of a large number of discrete cells, which are diffusively coupled in an inhomogeneous way and use to be inhomogeneous on their own, too. To study pattern formation in such a system, it is necessary to model the dynamics of quantities like voltages or chemical concentrations. If the coupling is sufficiently strong, a description by continuous reaction–diffusion models is possible. Thereby inhomogeneous coupling leads to a space-dependent diffusion constant. As examples for dynamical behavior are likely to appear in such systems, we study front propagation on a chain of inhomogeneously spaced cells as well as in a two-dimensional cluster of cells, which has the shape of a bottle-necked channel. Using multiple scale methods to reduce the dynamics to a few degrees of freedom, we find phenomena like pinning, transition to oscillations of the front position, oscillatory pinning, reflection and transmission.

APA, Harvard, Vancouver, ISO, and other styles

3

Ochoa, José, Julio Sheinbaum, and Edgar G. Pavía. "Inhomogeneous rodons." Journal of Geophysical Research: Oceans 103, no. C11 (October 15, 1998): 24869–80. http://dx.doi.org/10.1029/98jc02159.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Bertino, Massimo F., and Louis Franzel. "Inhomogeneous Aerogels." Reviews in Nanoscience and Nanotechnology 1, no. 1 (March 1, 2012): 52–65. http://dx.doi.org/10.1166/rnn.2012.1005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Mahan, G. D. "Inhomogeneous thermoelectrics." Journal of Applied Physics 70, no. 8 (October 15, 1991): 4551–54. http://dx.doi.org/10.1063/1.349091.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Clifton, Timothy, David F. Mota, and John D. Barrow. "Inhomogeneous gravity." Monthly Notices of the Royal Astronomical Society 358, no. 2 (April 2005): 601–13. http://dx.doi.org/10.1111/j.1365-2966.2005.08831.x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Bykovskii, V. A., and A. I. Vinogradov. "Inhomogeneous convolutions." Journal of Soviet Mathematics 52, no. 3 (November 1990): 3004–16. http://dx.doi.org/10.1007/bf02342917.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Henriksen, R. N. "Inhomogeneous turbulence." Astrophysical Journal 331 (August 1988): 359. http://dx.doi.org/10.1086/166562.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Hayata, Tomoya, and Arata Yamamoto. "Inhomogeneous Polyakov loop induced by inhomogeneous chiral condensates." Physics Letters B 744 (May 2015): 401–5. http://dx.doi.org/10.1016/j.physletb.2015.04.025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Gutiérrez-Vega, Julio C. "How inhomogeneous can an inhomogeneous Jones matrix be?" Journal of the Optical Society of America A 37, no. 6 (May 15, 2020): 974. http://dx.doi.org/10.1364/josaa.390127.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

El-Sharif, R. N., and Kh H. El-Shorbagy. "Inhomogeneous relativistic electron beam interaction with inhomogeneous warm plasma." Physics of Wave Phenomena 21, no. 3 (July 2013): 222–25. http://dx.doi.org/10.3103/s1541308x13030084.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Gaelzer, R., L. F. Ziebell, and O. J. G. Silveira. "Dielectric tensor for inhomogeneous plasmas in inhomogeneous magnetic field." Physics of Plasmas 6, no. 12 (December 1999): 4533–41. http://dx.doi.org/10.1063/1.873740.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Komatsu, Takao. "On Inhomogeneous Continued Fraction Expansions and Inhomogeneous Diophantine Approximation." Journal of Number Theory 62, no. 1 (January 1997): 192–212. http://dx.doi.org/10.1006/jnth.1997.2060.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Kolomiets, I. S. "Polarization properties of longitudinally inhomogeneous dichroic medium." Semiconductor Physics Quantum Electronics and Optoelectronics 18, no. 2 (June 8, 2015): 193–99. http://dx.doi.org/10.15407/spqeo18.02.193.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

FOSCHI, DAMIANO. "INHOMOGENEOUS STRICHARTZ ESTIMATES." Journal of Hyperbolic Differential Equations 02, no. 01 (March 2005): 1–24. http://dx.doi.org/10.1142/s0219891605000361.

Full text

Abstract:

We look for the optimal range of Lebesque exponents for which inhomogeneous Strichartz estimates are valid. It is known that this range is larger than the one given by admissible exponents for homogeneous estimates. We prove inhomogeneous estimates in this larger range adopting the abstract setting and interpolation techniques already used by Keel and Tao for the endpoint case of the homogeneous estimates. Applications to Schrödinger equations are given, which extend previous work by Kato.

APA, Harvard, Vancouver, ISO, and other styles

16

BERGLIAFFA, SANTIAGO E. PEREZ. "INHOMOGENEOUS MULTIDIMENSIONAL COSMOLOGIES." Modern Physics Letters A 15, no. 08 (March 14, 2000): 531–39. http://dx.doi.org/10.1142/s0217732300000529.

Full text

Abstract:

Einstein's equations for a (4 + n)-dimensional inhomogeneous space–time are presented, and a special family of solutions is exhibited for an arbitrary n. The solutions depend on two arbitrary functions of time. The time development of a particular member of this family is studied. This solution exhibits a singularity at t = 0 and dynamical compactification of the n dimensions. It is shown that the behavior of the system in the four-dimensional(i.e. post-compactification) phase is constrained by the way in which the compactified dimensions are stabilized. The fluid that generates this solution is analyzed by means of the energy conditions.

APA, Harvard, Vancouver, ISO, and other styles

17

Wolf, Dietrich E., and Lei-Han Tang. "Inhomogeneous growth processes." Physical Review Letters 65, no. 13 (September 24, 1990): 1591–94. http://dx.doi.org/10.1103/physrevlett.65.1591.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Chamseddine, Ali H., and Viatcheslav Mukhanov. "Inhomogeneous dark energy." Journal of Cosmology and Astroparticle Physics 2016, no. 02 (February 17, 2016): 040. http://dx.doi.org/10.1088/1475-7516/2016/02/040.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Kleban, Matthew, and Leonardo Senatore. "Inhomogeneous anisotropic cosmology." Journal of Cosmology and Astroparticle Physics 2016, no. 10 (October 12, 2016): 022. http://dx.doi.org/10.1088/1475-7516/2016/10/022.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Lillo, S. De, and V. V. Konotop. "Inhomogeneous Burgers Lattices." Journal of Nonlinear Mathematical Physics 8, sup1 (January 2001): 82–87. http://dx.doi.org/10.2991/jnmp.2001.8.s.15.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

LILLO, S. DE, and V. V. KONOTOP. "Inhomogeneous Burgers Lattices." Journal of Non-linear Mathematical Physics 8, Supplement (2001): 82. http://dx.doi.org/10.2991/jnmp.2001.8.supplement.15.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Baier, S., and T. D. Browning. "Inhomogeneous quadratic congruences." Functiones et Approximatio Commentarii Mathematici 47, no. 2 (December 2012): 267–86. http://dx.doi.org/10.7169/facm/2012.47.2.9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Sotiriadis, Spyros, and John Cardy. "Inhomogeneous quantum quenches." Journal of Statistical Mechanics: Theory and Experiment 2008, no. 11 (November 7, 2008): P11003. http://dx.doi.org/10.1088/1742-5468/2008/11/p11003.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Hillion, P. "Electromagnetic Inhomogeneous Pulses." Journal of Electromagnetic Waves and Applications 5, no. 9 (January 1, 1991): 959–69. http://dx.doi.org/10.1163/156939391x00996.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Barrow, John D., and Kerstin E. Kunze. "Inhomogeneous string cosmologies." Physical Review D 56, no. 2 (July 15, 1997): 741–52. http://dx.doi.org/10.1103/physrevd.56.741.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

Hindmarsh, Mark, and Huiquan Li. "Inhomogeneous tachyon condensation." Journal of High Energy Physics 2009, no. 06 (June 15, 2009): 050. http://dx.doi.org/10.1088/1126-6708/2009/06/050.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Storchak, V., J. H. Brewer, and G. D. Morris. "Inhomogeneous quantum diffusion." Physical Review B 53, no. 17 (May 1, 1996): 11300–11303. http://dx.doi.org/10.1103/physrevb.53.11300.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Buballa, Michael, and Stefano Carignano. "Inhomogeneous chiral condensates." Progress in Particle and Nuclear Physics 81 (March 2015): 39–96. http://dx.doi.org/10.1016/j.ppnp.2014.11.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Nityananda, Rajaram, P. Hohenberg, and W. Kohn. "Inhomogeneous electron gas." Resonance 22, no. 8 (August 2017): 809–11. http://dx.doi.org/10.1007/s12045-017-0529-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Drabant, Bernhard, Michael Schlieker, Wolfgang Weich, and Ralf Weixler. "Inhomogeneous quantum groups." Czechoslovak Journal of Physics 42, no. 12 (December 1992): 1303–12. http://dx.doi.org/10.1007/bf01589660.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Schlieker, M., W. Weich, and R. Weixler. "Inhomogeneous quantum groups." Zeitschrift f�r Physik C Particles and Fields 53, no. 1 (March 1992): 79–82. http://dx.doi.org/10.1007/bf01483874.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Dutour Sikirić, Mathieu, Achill Schürmann, and Frank Vallentin. "Inhomogeneous extreme forms." Annales de l’institut Fourier 62, no. 6 (2012): 2227–55. http://dx.doi.org/10.5802/aif.2748.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Henriksen, R. N. "Inhomogeneous Turbulence: Erratum." Astrophysical Journal 348 (January 1990): 781. http://dx.doi.org/10.1086/168287.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Sadatian, Seyed Davood. "Is Time Inhomogeneous?" International Letters of Chemistry, Physics and Astronomy 32 (April 2014): 155–59. http://dx.doi.org/10.18052/www.scipress.com/ilcpa.32.155.

Full text

Abstract:

In this article, we discuss probability of inhomogeneous time in high or low energy scale of physics. Consequently, the possibility was investigated of using theories such as varying speed of light (VSL) and fractal mathematics to build a framework within which answers can be found to some of standard cosmological problems and physics theories on the basis of time non-homogeneity.

APA, Harvard, Vancouver, ISO, and other styles

35

Wands, David, Josue De-Santiago, and Yuting Wang. "Inhomogeneous vacuum energy." Classical and Quantum Gravity 29, no. 14 (June 25, 2012): 145017. http://dx.doi.org/10.1088/0264-9381/29/14/145017.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Byrnes, Christian T., Sami Nurmi, Gianmassimo Tasinato, and David Wands. "Inhomogeneous non-gaussianity." Journal of Cosmology and Astroparticle Physics 2012, no. 03 (March 7, 2012): 012. http://dx.doi.org/10.1088/1475-7516/2012/03/012.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Strang, Gilbert, and Ding-Xuan Zhou. "Inhomogeneous refinement equations." Journal of Fourier Analysis and Applications 4, no. 6 (November 1998): 733–47. http://dx.doi.org/10.1007/bf02479677.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Stading, Mats, Maud Langton, and Anne-Marie Hermansson. "Inhomogeneous biopolymer gels." Makromolekulare Chemie. Macromolecular Symposia 76, no. 1 (November 1993): 283–90. http://dx.doi.org/10.1002/masy.19930760138.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Sadatian, Seyed Davood. "Is Time Inhomogeneous?" International Letters of Chemistry, Physics and Astronomy 32 (April 22, 2014): 155–59. http://dx.doi.org/10.56431/p-3l11ns.

Full text

Abstract:

In this article, we discuss probability of inhomogeneous time in high or low energy scale of physics. Consequently, the possibility was investigated of using theories such as varying speed of light (VSL) and fractal mathematics to build a framework within which answers can be found to some of standard cosmological problems and physics theories on the basis of time non-homogeneity.

APA, Harvard, Vancouver, ISO, and other styles

40

Burmasheva, Natal’ya V., Anastasiya V. Dyachkova, and Evgeniy Yu Prosviryakov. "Inhomogeneous Poiseuille flow." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 77 (2022): 68–85. http://dx.doi.org/10.17223/19988621/77/6.

Full text

Abstract:

The paper presents an investigation of the isothermal steady flow of a viscous incompressible fluid in an extended flat layer using hydrodynamic equations. The bottom of the layer under consideration is limited by a stationary solid hydrophilic surface. At the upper boundary of the layer, the pressure field, which is inhomogeneous in both horizontal coordinates, and the velocity field are specified. These boundary conditions allow one to generalize the classical Poiseuille flow. The exact solution, satisfying the set boundary value problem, is described by a series of polynomials of different orders. The highest (fifth) degree of the polynomials corresponds to a homogeneous component of the horizontal velocity. Here, the pressure field depends only on the horizontal coordinates; the dependence is linear. The detailed analysis of the velocity field is carried out. The obtained results confirm that the determined exact solution can describe multiple stratification of the velocity field and the corresponding field of tangent stresses. The analysis of spectral properties of the velocity field is performed for a general case without specifying the values of physical constants that unambiguously identify the studied fluid. Therefore, the presented results are applicable to viscous fluids of various nature.

APA, Harvard, Vancouver, ISO, and other styles

41

VARMA, RAM K. "Instabilities of inhomogeneous plasmas streaming relative to inhomogeneous dust distributions." Journal of Plasma Physics 62, no. 3 (September 1999): 351–64. http://dx.doi.org/10.1017/s0022377899007886.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Zhu, Haochen, Bo Hu, and Fengrui Yang. "Removal of Sulfadiazine by Polyamide Nanofiltration Membranes: Measurement, Modeling, and Mechanisms." Membranes 11, no. 2 (February 2, 2021): 104. http://dx.doi.org/10.3390/membranes11020104.

Full text

Abstract:

In this study, a complete steric, electrostatic, and dielectric mass transfer model is applied to investigate the separation mechanism of typical antibiotic sulfadiazine by NF90, NF270, VNF-8040 and TMN20H-400 nanofiltration membranes. FTIR and XPS analysis clearly indicate that the membranes we used possess skin layers containing both amine and carboxylic acid groups that can be distributed in an inhomogeneous fashion, leading to a bipolar fixed charge distribution. We compare the theoretical and experimental rejection rate of the sulfadiazine as a function of the pressure difference across the nanopore for the four polyamide membranes of inhomogeneously charged nanopores. It is shown that the rejection rate of sulfadiazine obtained by the solute transport model has similar qualitative results with that of experiments and follows the sequence: RNF90>RVNF2−8040>RNF270>RTMN20H−400. The physical explanation can be attributed to the influence of the inhomogeneous charge distribution on the electric field that arises spontaneously so as to maintain the electroneutrality within the nanopore.

APA, Harvard, Vancouver, ISO, and other styles

43

Arestova, Iliyana Ilieva. "A Study of Nonreciprocal Coupled Ferrite-Dielectric Image Guide Structure for Ka-band." European Journal of Engineering Research and Science 4, no. 7 (July 22, 2019): 46–50. http://dx.doi.org/10.24018/ejers.2019.4.7.1423.

Full text

Abstract:

The nonreciprocal coupled ferrite-dielectric image guide structure with the same geometry as in our previous experimental investigation has been studied numerically by finite element method in the frequency range 26–40 GHz. The ferrite element in the experiment has been inhomogeneously magnetized by using a disk-shaped permanent magnet, whose diameter is comparable with the length of the ferrite bar. Recently, we have modelled the ferrite element as homogeneously magnetized perpendicularly to the ground plane and the direction of propagation. This homogeneous magnetization represents first approximation of the real inhomogeneous one. Here we have extended the numerical examination of the nonreciprocity and as a result we have proposed a procedure for designing isolators with inhomogeneous magnetization. Also, we have investigated the influence of several parameters – permanent magnetic field strength and three ferrite material parameters (saturation magnetization, relative dielectric permittivity and dielectric loss tangent) on the nonreciprocal behavior of the coupled ferrite-dielectric structure.

APA, Harvard, Vancouver, ISO, and other styles

44

Arestova, Iliyana Ilieva. "Study of Nonreciprocal Coupled Ferrite-Dielectric Image Guide Structure for Ka-band." European Journal of Engineering and Technology Research 4, no. 7 (July 22, 2019): 46–50. http://dx.doi.org/10.24018/ejeng.2019.4.7.1423.

Full text

Abstract:

The nonreciprocal coupled ferrite-dielectric image guide structure with the same geometry as in our previous experimental investigation has been studied numerically by finite element method in the frequency range 26–40 GHz. The ferrite element in the experiment has been inhomogeneously magnetized by using a disk-shaped permanent magnet, whose diameter is comparable with the length of the ferrite bar. Recently, we have modelled the ferrite element as homogeneously magnetized perpendicularly to the ground plane and the direction of propagation. This homogeneous magnetization represents first approximation of the real inhomogeneous one. Here we have extended the numerical examination of the nonreciprocity and as a result we have proposed a procedure for designing isolators with inhomogeneous magnetization. Also, we have investigated the influence of several parameters – permanent magnetic field strength and three ferrite material parameters (saturation magnetization, relative dielectric permittivity and dielectric loss tangent) on the nonreciprocal behavior of the coupled ferrite-dielectric structure.

APA, Harvard, Vancouver, ISO, and other styles

45

Sun, Linshan, Bo Zhao, Jiaqi Yuan, Yanrong Zhang, Ming Kang, and Jing Chen. "Optical resonance in inhomogeneous parity-time symmetric systems." Chinese Optics Letters 19, no. 7 (2021): 073601. http://dx.doi.org/10.3788/col202119.073601.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Tao, Xiang Hua, Jing Qing Huang, and Ying Chun Cai. "Inverse Analysis for Inhomogeneous Dielectric Coefficient of Pavement Material Based on Genetic Algorithm." Applied Mechanics and Materials 438-439 (October 2013): 430–35. http://dx.doi.org/10.4028/www.scientific.net/amm.438-439.430.

Full text

Abstract:

The key of ground penetrating radars application lies in the calculation of dielectric coefficient. The pavement materials are inhomogeneous medium in fact, the particle surface can induce the scatter and diffraction of electromagnetic wave. The inhomogeneous dielectricity can change the characteristics of reflected wave. It may even cause background noise of reflected signal, which will lead to mistakes in signal interpretation. Therefore it is necessary to analyze the inhomogeneous dielectric coefficients by GPR. This paper proposes the solutions of inverse analysis for inhomogeneous dielectric coefficients of pavement materials used GPR data. Two examples are given to assess the validity of genetic algorithms in inversion of pavement materials inhomogeneous dielectricity. The results show that genetic algorithm can converge into true solutions well. The backcalculated inhomogeneous dielectric coefficients can help to evaluate pavement properties further.

APA, Harvard, Vancouver, ISO, and other styles

47

ALI, M. F. M., S. M. A. MAIZE, and M. A. EL-DEBERKY. "TRANSVERSE FIELD AND INHOMOGENEOUS BROADENING EFFECTS ON OPTICAL BISTABILITY IN MIXED SPECIES." International Journal of Modern Physics B 22, no. 21 (August 20, 2008): 3641–53. http://dx.doi.org/10.1142/s0217979208039939.

Full text

Abstract:

The steady state behavior of a bistable system of a homogeneously or inhomogeneously broadened two sorts of two-level atoms placed in a ring cavity and driven by a coherent field is analyzed within the mean field limit where the transverse effect of the radiation field is taken into account within the single-transverse-mode model. Effects on the input–output relation, due to the transverse parameter and the Lorentzian and the Gaussian line widths which measure the inhomogeneous broadening of the atoms, are examined. The enlargement of the optical bistable (tristable) region according to the previously mentioned parameters is explained.

APA, Harvard, Vancouver, ISO, and other styles

48

Fu, Hong‐Chen, and Chang‐Pu Sun. "New inhomogeneous boson realizations and inhomogeneous differential realizations of Lie algebras." Journal of Mathematical Physics 31, no. 12 (December 1990): 2797–802. http://dx.doi.org/10.1063/1.528982.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Akram, Faiza. "The Non-homogeneous Groshev Convergence theorem for Diophantine Approximation on Manifolds." JOURNAL OF ADVANCES IN MATHEMATICS 13, no. 4 (October 26, 2017): 7354–69. http://dx.doi.org/10.24297/jam.v13i4.6352.

Full text

Abstract:

This paper is based on Khintchine theorem, Groshev theorem and measure and dimension theorems for non-degenerate manifolds. The inhomogeneous Diophantine approximation of Groshev type on manifolds is studied. Major work is to discuss the inhomogeneous convergent theory of Diophantine approximation restricted to non-degenerate manifold in , based on the proof of Barker-Sprindzuk conjecture, the homogeneous theory of Diophantine approximation and inhomogeneous Groshev type theory for Diophantine approximation, by the decomposition of the set in manifold, with the aid of Borel Cantell lemma and transformation of lemma and its properties and the main inhomogeneous conversion principle, we know these two types of set in sense of Lebesgue measure is zero provided that the convergent sum condition is satisfied, from which several conclusions about the inhomogeneous convergent theory of Diophantine approximation is obtained. The main result is that Lebesgue measure is inhomogeneous strongly extremal. At last we use the fact that friendly measure is strongly contracting measure to develop an inhomogeneous strong extreme measure which is restricted to matrices with dependent quantities

APA, Harvard, Vancouver, ISO, and other styles

50

Kobayashi, Masakazu, and Yuki Kawamura. "Variation Analysis of Grain Deformation in Aluminum Alloy." Materials Science Forum 794-796 (June 2014): 27–32. http://dx.doi.org/10.4028/www.scientific.net/msf.794-796.27.

Full text

Abstract:

Inhomogeneous deformation in polycrystalline material is interesting matter, because the concentration point of deformation relates with the origins of yield, fracture and recrystallization. Plastic strains in three-dimension during tensile deformation have been investigated by using the marker tracking method in synchrotron X-ray microtomography. Three-dimensional position of grains was detected by grain-boundaries visualizing method. The variation of deformation were measured for each grain. We summarized how much degree grains was deformed inhomogeneously comparable to the plastic deformation in whole specimen.

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!