{"results":[{"id":"arxiv_2308.15811","title":"Curvature exponent and geodesic dimension on Sard-regular Carnot groups","authors":[{"name":"Sebastiano Nicolussi Golo"},{"name":"Ye Zhang"}],"abstract":"In this paper we characterize the geodesic dimension $N_{GEO}$ and give a new lower bound to the curvature exponent $N_{CE}$ on Sard-regular Carnot groups. As an application, we give an example of step-two Carnot group on which $N_{CE} \u003e N_{GEO}$: this answers a question posed by Rizzi in arXiv:1510.05960v4 [math.MG].","source":"arXiv","year":2023,"language":"en","subjects":["math.MG","math.DG"],"doi":"10.1515/agms-2024-0004","url":"https://arxiv.org/abs/2308.15811","pdf_url":"https://arxiv.org/pdf/2308.15811","is_open_access":true,"published_at":"2023-08-30T07:31:54Z","score":67},{"id":"crossref_10.1016/j.jma.2021.02.003","title":"Primary\n                    \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"\u003e\n                      \u003cmml:mrow\u003e\n                        \u003cmml:msub\u003e\n                          \u003cmml:mtext\u003eMg\u003c/mml:mtext\u003e\n                          \u003cmml:mn\u003e2\u003c/mml:mn\u003e\n                        \u003c/mml:msub\u003e\n                        \u003cmml:mtext\u003eSi\u003c/mml:mtext\u003e\n                      \u003c/mml:mrow\u003e\n                    \u003c/mml:math\u003e\n                    phase and\n                    \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.svg\"\u003e\n                      \u003cmml:mrow\u003e\n                        \u003cmml:msub\u003e\n                          \u003cmml:mtext\u003eMg\u003c/mml:mtext\u003e\n                          \u003cmml:mn\u003e2\u003c/mml:mn\u003e\n                        \u003c/mml:msub\u003e\n                        \u003cmml:mtext\u003eSi\u003c/mml:mtext\u003e\n                      \u003c/mml:mrow\u003e\n                    \u003c/mml:math\u003e\n                    /\n                    \u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.svg\"\u003e\n                      \u003cmml:mrow\u003e\n                        \u003cmml:mi mathvariant=\"normal\"\u003eα\u003c/mml:mi\u003e\n                      \u003c/mml:mrow\u003e\n                    \u003c/mml:math\u003e\n                    -Mg interface modified by Sn and Sb elements in a Mg-5Sn-2Si-1.5Al-1Zn-0.8Sb alloy","authors":[{"name":"Wenpeng Yang"},{"name":"Ying Wang"},{"name":"Hongbao Cui"},{"name":"Guangxin Fan"},{"name":"Xuefeng Guo"}],"abstract":"","source":"CrossRef","year":2022,"language":"en","subjects":null,"doi":"10.1016/j.jma.2021.02.003","url":"https://doi.org/10.1016/j.jma.2021.02.003","is_open_access":true,"citations":14,"published_at":"","score":66.42},{"id":"arxiv_2101.02514","title":"Number of bounded distance equivalence classes in hulls of repetitive Delone sets","authors":[{"name":"Dirk Frettlöh"},{"name":"Alexey Garber"},{"name":"Lorenzo Sadun"}],"abstract":"Two Delone sets are bounded distance equivalent to each other if there is a bijection between them such that the distance of corresponding points is uniformly bounded. Bounded distance equivalence is an equivalence relation. We show that the hull of a repetitive Delone set with finite local complexity has either one equivalence class or uncountably many. A very similar result is proven in arXiv:2011.00106 [math.MG].","source":"arXiv","year":2021,"language":"en","subjects":["math.DS","math.CO","math.MG"],"doi":"10.3934/dcds.2021157","url":"https://arxiv.org/abs/2101.02514","pdf_url":"https://arxiv.org/pdf/2101.02514","is_open_access":true,"published_at":"2021-01-07T12:25:12Z","score":65},{"id":"crossref_10.1103/physrevb.89.115205","title":"Importance of relativistic effects in electronic structure and thermopower calculations for\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003cmml:msub\u003e\u003cmml:mi\u003eMg\u003c/mml:mi\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:msub\u003e\u003cmml:mi\u003eSi\u003c/mml:mi\u003e\u003c/mml:math\u003e,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003cmml:msub\u003e\u003cmml:mi\u003eMg\u003c/mml:mi\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:msub\u003e\u003cmml:mi\u003eGe\u003c/mml:mi\u003e\u003c/mml:math\u003e, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"\u003e\u003cmml:msub\u003e\u003cmml:mi\u003eMg\u003c/mml:mi\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:msub\u003e\u003cmml:mi\u003eSn\u003c/mml:mi\u003e\u003c/mml:math\u003e","authors":[{"name":"K. Kutorasinski"},{"name":"B. Wiendlocha"},{"name":"J. Tobola"},{"name":"S. Kaprzyk"}],"abstract":"","source":"CrossRef","year":2014,"language":"en","subjects":null,"doi":"10.1103/physrevb.89.115205","url":"https://doi.org/10.1103/physrevb.89.115205","is_open_access":true,"citations":98,"published_at":"","score":60.94},{"id":"arxiv_1307.4179","title":"Clifford algebra and the projective model of Minkowski (pseudo-Euclidean) spaces","authors":[{"name":"Andrey Sokolov"}],"abstract":"I apply the algebraic framework introduced in arXiv:1101.4542v3[math.MG] to Minkowski (pseudo-Euclidean) spaces in 2, 3, and 4 dimensions. The exposition follows the template established in arXiv:1307.2917[math.MG] for Euclidean spaces. The emphasis is on geometric structures, but some contact with special relativity is made by considering relativistic addition of velocities and Lorentz transformations, both of which can be seen as rotation applied to points and to lines. The language used in the paper reflects the emphasis on geometry, rather than applications to special relativity. The use of Clifford algebra greatly simplifies the study of Minkowski spaces, since unintuitive synthetic techniques are replaced by algebraic calculations.","source":"arXiv","year":2013,"language":"en","subjects":["math.MG"],"url":"https://arxiv.org/abs/1307.4179","pdf_url":"https://arxiv.org/pdf/1307.4179","is_open_access":true,"published_at":"2013-07-16T07:09:11Z","score":57},{"id":"arxiv_1307.2917","title":"Clifford algebra and the projective model of homogeneous metric spaces: Foundations","authors":[{"name":"Andrey Sokolov"}],"abstract":"This paper is to serve as a key to the projective (homogeneous) model developed by Charles Gunn (arXiv:1101.4542 [math.MG]). The goal is to explain the underlying concepts in a simple language and give plenty of examples. It is targeted to physicists and engineers and the emphasis is on explanation rather than rigorous proof. The projective model is based on projective geometry and Clifford algebra. It supplements and enhances vector and matrix algebras. It also subsumes complex numbers and quaternions. Projective geometry augmented with Clifford algebra provides a unified algebraic framework for describing points, lines, planes, etc, and their transformations, such as rotations, reflections, projections, and translations. The model is relevant not only to Euclidean space but to a variety of homogeneous metric spaces.","source":"arXiv","year":2013,"language":"en","subjects":["math.MG"],"url":"https://arxiv.org/abs/1307.2917","pdf_url":"https://arxiv.org/pdf/1307.2917","is_open_access":true,"published_at":"2013-07-08T08:16:26Z","score":57},{"id":"crossref_10.1103/physrevc.84.064310","title":"Multiparticle-multihole states in\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:msup\u003e\u003cmml:mrow/\u003e\u003cmml:mn\u003e31\u003c/mml:mn\u003e\u003c/mml:msup\u003e\u003c/mml:math\u003eMg and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:msup\u003e\u003cmml:mrow/\u003e\u003cmml:mn\u003e33\u003c/mml:mn\u003e\u003c/mml:msup\u003e\u003c/mml:math\u003eMg: A critical evaluation","authors":[{"name":"Gerda Neyens"}],"abstract":"","source":"CrossRef","year":2011,"language":"en","subjects":null,"doi":"10.1103/physrevc.84.064310","url":"https://doi.org/10.1103/physrevc.84.064310","is_open_access":true,"citations":37,"published_at":"","score":56.11},{"id":"crossref_10.1103/physrev.178.1358","title":"Electronic Structure and Optical Properties of\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSi,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eGe, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSn","authors":[{"name":"M. Y. AU-YANG"},{"name":"MARVIN L. COHEN"}],"abstract":"","source":"CrossRef","year":1969,"language":"en","subjects":null,"doi":"10.1103/physrev.178.1358","url":"https://doi.org/10.1103/physrev.178.1358","is_open_access":true,"citations":116,"published_at":"","score":53.48},{"id":"arxiv_0902.4483","title":"Finite Quasihypermetric Spaces","authors":[{"name":"Peter Nickolas"},{"name":"Reinhard Wolf"}],"abstract":"Let $(X, d)$ be a compact metric space and let $\\mathcal{M}(X)$ denote the space of all finite signed Borel measures on $X$. Define $I \\colon \\mathcal{M}(X) \\to \\R$ by $I(mu) = \\int_X \\int_X d(x,y) dμ(x) dμ(y)$, and set $M(X) = \\sup I(mu)$, where $μ$ ranges over the collection of measures in $\\mathcal{M}(X)$ of total mass 1. The space $(X, d)$ is \\emph{quasihypermetric} if $I(μ) \\leq 0$ for all measures $μ$ in $\\mathcal{M}(X)$ of total mass 0 and is \\emph{strictly quasihypermetric} if in addition the equality $I(μ) = 0$ holds amongst measures $μ$ of mass 0 only for the zero measure.   This paper explores the constant $M(X)$ and other geometric aspects of $X$ in the case when the space $X$ is finite, focusing first on the significance of the maximal strictly quasihypermetric subspaces of a given finite quasihypermetric space and second on the class of finite metric spaces which are $L^1$-embeddable. While most of the results are for finite spaces, several apply also in the general compact case. The analysis builds upon earlier more general work of the authors [Peter Nickolas and Reinhard Wolf, \\emph{Distance geometry in quasihypermetric spaces. I}, \\emph{II} and \\emph{III}].","source":"arXiv","year":2009,"language":"en","subjects":["math.MG"],"url":"https://arxiv.org/abs/0902.4483","pdf_url":"https://arxiv.org/pdf/0902.4483","is_open_access":true,"published_at":"2009-02-25T23:04:17Z","score":53},{"id":"crossref_10.1103/physrev.178.1353","title":"Optical Properties of\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSi,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eGe, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSn from 0.6 to 11.0 eV at 77°K","authors":[{"name":"W. J. SCOULER"}],"abstract":"","source":"CrossRef","year":1969,"language":"en","subjects":null,"doi":"10.1103/physrev.178.1353","url":"https://doi.org/10.1103/physrev.178.1353","is_open_access":true,"citations":86,"published_at":"","score":52.58},{"id":"crossref_10.1103/physrev.136.b1305","title":"Studies of\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msup\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e25\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msup\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003e,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msup\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e26\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msup\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003e, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msup\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e27\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msup\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eNuclei With (\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mi\u003ed\u003c/mml:mi\u003e\u003cmml:mo\u003e,\u003c/mml:mo\u003e\u003cmml:mi\u003e \u003c/mml:mi\u003e\u003cmml:mi\u003ep\u003c/mml:mi\u003e\u003c/mml:math\u003e) Reactions","authors":[{"name":"Bibijana Čujec"}],"abstract":"","source":"CrossRef","year":1964,"language":"en","subjects":null,"doi":"10.1103/physrev.136.b1305","url":"https://doi.org/10.1103/physrev.136.b1305","is_open_access":true,"citations":74,"published_at":"","score":52.22},{"id":"crossref_10.1103/physrev.176.905","title":"Electroreflectance Measurements on\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSi,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eGe, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSn","authors":[{"name":"F. Vazquez"},{"name":"Richard A. Forman"},{"name":"Manuel Cardona"}],"abstract":"","source":"CrossRef","year":1968,"language":"en","subjects":null,"doi":"10.1103/physrev.176.905","url":"https://doi.org/10.1103/physrev.176.905","is_open_access":true,"citations":69,"published_at":"","score":52.07},{"id":"arxiv_0809.0746","title":"Distance Geometry in Quasihypermetric Spaces. III","authors":[{"name":"Peter Nickolas"},{"name":"Reinhard Wolf"}],"abstract":"Let $(X, d)$ be a compact metric space and let $\\mathcal{M}(X)$ denote the space of all finite signed Borel measures on $X$. Define $I \\colon \\mathcal{M}(X) \\to \\R$ by \\[ I(μ) = \\int_X \\int_X d(x,y) dμ(x) dμ(y), \\] and set $M(X) = \\sup I(μ)$, where $μ$ ranges over the collection of signed measures in $\\mathcal{M}(X)$ of total mass 1. This paper, with two earlier papers [Peter Nickolas and Reinhard Wolf, Distance geometry in quasihypermetric spaces. I and II], investigates the geometric constant $M(X)$ and its relationship to the metric properties of $X$ and the functional-analytic properties of a certain subspace of $\\mathcal{M}(X)$ when equipped with a natural semi-inner product. Specifically, this paper explores links between the properties of $M(X)$ and metric embeddings of $X$, and the properties of $M(X)$ when $X$ is a finite metric space.","source":"arXiv","year":2008,"language":"en","subjects":["math.MG"],"url":"https://arxiv.org/abs/0809.0746","pdf_url":"https://arxiv.org/pdf/0809.0746","is_open_access":true,"published_at":"2008-09-04T04:59:19Z","score":52},{"id":"crossref_10.1103/physreva.13.148","title":"Excitation of the Mg and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msup\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mo\u003e+\u003c/mml:mo\u003e\u003c/mml:mrow\u003e\u003c/mml:msup\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eresonance lines by electron impact on Mg atoms","authors":[{"name":"David Leep"},{"name":"Alan Gallagher"}],"abstract":"","source":"CrossRef","year":1976,"language":"en","subjects":null,"doi":"10.1103/physreva.13.148","url":"https://doi.org/10.1103/physreva.13.148","is_open_access":true,"citations":61,"published_at":"","score":51.83},{"id":"crossref_10.1103/physrevb.3.2504","title":"Raman Scattering in\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSi,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eGe, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSn","authors":[{"name":"C. J. Buchenauer"},{"name":"M. Cardona"}],"abstract":"","source":"CrossRef","year":1971,"language":"en","subjects":null,"doi":"10.1103/physrevb.3.2504","url":"https://doi.org/10.1103/physrevb.3.2504","is_open_access":true,"citations":55,"published_at":"","score":51.65},{"id":"crossref_10.1103/physrevb.14.3520","title":"Resonant Raman scattering in the II-IV semiconductors\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSi,\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eGe, and\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi mathvariant=\"normal\"\u003eMg\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003c/mml:math\u003eSn","authors":[{"name":"Seinosuke Onari"},{"name":"Manuel Cardona"}],"abstract":"","source":"CrossRef","year":1976,"language":"en","subjects":null,"doi":"10.1103/physrevb.14.3520","url":"https://doi.org/10.1103/physrevb.14.3520","is_open_access":true,"citations":40,"published_at":"","score":51.2},{"id":"crossref_10.1103/physrevb.30.4183","title":"Hybridization and screening effects in the Mg\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi\u003eKL\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e1\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003cmml:mi\u003eV\u003c/mml:mi\u003e\u003c/mml:math\u003eAuger spectra of Mg-Ni, Mg-Cu, Mg-Zn, Mg-Pd, Mg-Ag, and Mg-Al alloys","authors":[{"name":"M. Davies"},{"name":"P. Weightman"}],"abstract":"","source":"CrossRef","year":1984,"language":"en","subjects":null,"doi":"10.1103/physrevb.30.4183","url":"https://doi.org/10.1103/physrevb.30.4183","is_open_access":true,"citations":32,"published_at":"","score":50.96},{"id":"crossref_10.1103/physrevb.29.5318","title":"Hybridization effects on the Mg\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mi\u003eK\u003c/mml:mi\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi\u003eL\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e2\u003c/mml:mn\u003e\u003cmml:mo\u003e,\u003c/mml:mo\u003e\u003cmml:mn\u003e3\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003cmml:mi\u003eV\u003c/mml:mi\u003e\u003c/mml:math\u003eAuger spectra of Mg-Ni, Mg-Cu, Mg-Zn, Mg-Pd, and Mg-Ag alloys","authors":[{"name":"M. Davies"},{"name":"P. Weightman"},{"name":"D. R. Jennison"}],"abstract":"","source":"CrossRef","year":1984,"language":"en","subjects":null,"doi":"10.1103/physrevb.29.5318","url":"https://doi.org/10.1103/physrevb.29.5318","is_open_access":true,"citations":31,"published_at":"","score":50.93},{"id":"crossref_10.1002/pamm.200510342","title":"On the convergence of the MG/OPT method","authors":[{"name":"Alfio Borzì"}],"abstract":"AbstractGlobal convergence of the MG/OPT method for optimization is discussed. (© 2005 WILEY‐VCH Verlag GmbH \u0026 Co. KGaA, Weinheim)","source":"CrossRef","year":2005,"language":"en","subjects":null,"doi":"10.1002/pamm.200510342","url":"https://doi.org/10.1002/pamm.200510342","is_open_access":true,"citations":17,"published_at":"","score":50.51},{"id":"crossref_10.1103/physrevb.32.8423","title":"Erratum: Hybridization and screening effects in the Mg\u003cmml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"\u003e\u003cmml:mi\u003eK\u003c/mml:mi\u003e\u003cmml:mrow\u003e\u003cmml:msub\u003e\u003cmml:mrow\u003e\u003cmml:mi\u003eL\u003c/mml:mi\u003e\u003c/mml:mrow\u003e\u003cmml:mrow\u003e\u003cmml:mn\u003e1\u003c/mml:mn\u003e\u003c/mml:mrow\u003e\u003c/mml:msub\u003e\u003c/mml:mrow\u003e\u003cmml:mi\u003eV\u003c/mml:mi\u003e\u003c/mml:math\u003eAuger spectra of Mg-Ni, Mg-Cu, Mg-Zn, Mg-Pd, Mg-Ag, and Mg-Al alloys","authors":[{"name":"M. Davies"},{"name":"P. Weightman"}],"abstract":"","source":"CrossRef","year":1985,"language":"en","subjects":null,"doi":"10.1103/physrevb.32.8423","url":"https://doi.org/10.1103/physrevb.32.8423","is_open_access":true,"citations":6,"published_at":"","score":50.18}],"total":1202817,"page":1,"page_size":20,"sources":["arXiv","CrossRef"],"query":"math.MG"}