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Estimation of mean form and mean form difference under elliptical laws [article]

José A. Díaz-García, Francisco J. Caro-Lopera
2015 arXiv   pre-print
Consistent estimation of mean form difference under elliptical laws is also studied.  ...  Instead of using the Euclidean distance matrix for proposing consistent estimates, this paper determines exact formulae for the moments of matrix B = X^c(X^c)^T, where X^c is the centered landmarks matrix  ...  Caro was supported by a research project of University of Medellín, Colombia.  ... 
arXiv:1507.03315v1 fatcat:smprrc4zy5bmfooobnjezvnnw4

Euclidean Distance Matrix Analysis (EDMA): Estimation of mean form and mean form difference

Subhash Lele
1993 Mathematical Geology  
In this paper, the problem of estimation of mean form, variancecovariance matrix, and mean form difference under the Gaussian perturbation model is considered using EDMA.  ...  Estimation in the presence of missing data is studied. In addition, it is shown that the superimposition method of estimation leads to incorrect mean form and variance-covariance structure.  ...  (a) GPA estimator of mean form is inconsistent and hence asymptotically inefficient.  ... 
doi:10.1007/bf00890247 fatcat:ihpj4ugql5cnvdczlk5sly7vha

Estimating the Mean Number of K-Means Clusters to Form [article]

Robert A. Murphy
2016 arXiv   pre-print
Utilizing the sample size of a dataset, the random cluster model is employed in order to derive an estimate of the mean number of K-Means clusters to form during classification of a dataset.  ...  Introduction and Related Work In traditional K-Means classification, a set of data is assumed to have formed correlated clusters of data points, if K points are randomly chosen beforehand to represent  ...  As such, in this hybrid, K-means data classifier, several of the aforementioned methods are employed to find that a set of data will form clusters, if the measured distances between data points (or some  ... 
arXiv:1503.03488v2 fatcat:hyoinq3vcjghhmbd4fsukj5mf4

Didactics Management of Dichotomy "Meaning/Form"

Nachit Brahim, Namir Abdelwahed, Bahra Mohamed, Kasour Radouane, Achtaich Naceur, Talbi Mohammed
2014 Procedia - Social and Behavioral Sciences  
In this research, we have shown that the meaning and form of a mathematical concept form a fundamental dichotomy of mathematical activity.  ...  Thus, we have established -for example-that it is impossible to preserve the meaning and form of a numerical function such as the logarithm function, without developing a "geometry" of this function.  ...  " meaning/ form" through a good marriage of the speech with the image.  ... 
doi:10.1016/j.sbspro.2014.01.765 fatcat:5an7agbw65fvfgwlbsdegqywmm

IMAGE-FORMING BY MEANS OF AXICON

Irina G. Palchikova, Yuliya V. Zhukova, Evgenii S. Smirnov
2021 Interexpo GEO-Siberia  
A theoretical analysis of the image-forming properties of the conical axicon in the scalar diffraction Kirchhoff-Fresnel approximation within the framework of the theory of linear systems revealed that  ...  Moreover, different annular areas of the axicon form different sections on this segment. When used in tandem with a lens, the axicon can allow to increase the depth of focus.  ...  areas of the axicon form different sections on this segment. When used in tandem with a lens, the axicon can allow to increase the depth of focus.  ... 
doi:10.33764/2618-981x-2021-8-118-125 fatcat:lwqdnpxvqjet3hzaan7zivppye

Meaning and Forms of Political Extremism

Uwe Backes
2007 Central European Political Studies Review  
A sketch of the history of the concepts follows a discussion of structural characteristics and then a typological examination of forms of extremism, particularly those of the 20th and 21st century.  ...  The article seeks to contribute to the conceptualisation of political extremism and to lay a foundation for further theoretical studies which are explanatory in nature.  ...  Negative constitutional terms generally are borrowed terms, meaning that they serve as labels for political opinions, forms of action and actors from whom one disassociates oneself most carefully.  ... 
doaj:758e79f5a0d7493c99bac14844946c8a fatcat:jl2u2xxhqrfkrbuf6exxlhehoa

Mean Values of Algebraic Linear Forms

G. R. Everest
1995 Proceedings of the London Mathematical Society  
Define Given a finite collection of p-adic algebraic linear forms <I>, define |^}. (1.3) In this paper we are going to prove a strong mean value theorem for this object, as p runs over the ring of algebraic  ...  With K as in the previous examples, we computed the mean value of T/H for non-zero trace values. (In this example, Z? ( <},#0.) The mean value turns out to be 2e~4. 4 .  ... 
doi:10.1112/plms/s3-70.3.529 fatcat:iqafyzznf5cbvfv5gbzxf2gdjy

On the Time Axis of Morpho-semantic Activation: Form-then-meaning or Form-with-meaning?

Lingyan ZHANG, Tan JIN, Zhaoxia TIAN
2013 Advances in Psychological Science  
In contrast, the form-with-meaning activation only allows the co-occurrence of morpho-orthographic decomposition and morpho-semantic activation at a prelexical level.  ...  On the other hand, the form-with-meaning account argues that morpho-orthographic decomposition and morpho-semantic activation occur simultaneously.  ...  根据视 觉 词 汇 加 工 的 双 通 道 模 型 (dual- -then-meaning account)和"形义并行" 激活论(form-with-meaning account)之争。  ... 
doi:10.3724/sp.j.1042.2013.01382 fatcat:umhxrnfjnvdfpegcs4mv5wuux4

The Mean Curvature of the Second Fundamental Form of a hypersurface [article]

Stefan Haesen, Steven Verpoort
2009 arXiv   pre-print
The concept of the "mean curvature of the second fundamental form" is then introduced. Some characterisations of extrinsic hyperspheres in terms of this curvature are given.  ...  An expression for the first variation of the area functional of the second fundamental form is given for a hypersurface in a semi-Riemannian space.  ...  We wish to express our sincerest gratitude to all of them.  ... 
arXiv:0709.2107v3 fatcat:wy4dt3n6bndb5fgfdcsn7hvqxe

Deforming a Lie algebra by means of a 2-form

Paweł Nurowski
2007 Journal of Geometry and Physics  
A simple change of the Jacobi identity to the form [A,[B,C]]+[C,[A,B]]+[B,[C,A]]=omega(B,C)A+omega(A,B)C+omega(C,A)B opens new possibilities, which shed new light on the Bianchi classification of 3-dimensional  ...  .]: V x V --> V and a 2-form omega:V x V --> K.  ...  Thus to represent a GL(3, R) orbit of (c i jk , ω i j ) it is enough to take n il in the diagonal form with the diagonal elements equal to ±1, 0 and to take a m in the simplest possible form obtainable  ... 
doi:10.1016/j.geomphys.2006.10.008 fatcat:vsfyuxdl7bdjji6ejt74h3oapq

Generating Picard modular forms by means of invariant theory [article]

Fabien Cléry, Gerard van der Geer
2022 arXiv   pre-print
_2 on the space of pairs of binary forms of bidegree (4,1).  ...  The universal binary forms of degree 4 and 1 correspond to a meromorphic modular form of weight (4,-2) and a holomorphic Eisenstein series of weight (1,1).  ...  He thanks Loughborough University for hospitality during the preparation of this paper.  ... 
arXiv:2110.00849v2 fatcat:7muxnuo4brgv3jojy7p57qu4pa

Ancient Solution of Mean Curvature Flow in Space Forms [article]

Li Lei, Hongwei Xu, Entao Zhao
2019 arXiv   pre-print
In this paper we investigate the rigidity of ancient solutions of the mean curvature flow with arbitrary codimension in space forms.  ...  We also obtain a rigidity result for ancient solutions in a nonnegatively curved space form under an asymptotic integral curvature pinching condition.  ...  Pointwisely pinched ancient solutions in curved space forms In this section we consider the rigidity of ancient solutions of mean curvature flow in curved space forms under pointwise curvature pinching  ... 
arXiv:1910.05496v2 fatcat:ykbkhyiosrbqdokv4k3t7lnkpe

On the mean convexity of a space-and-time neighborhood of generic singularities formed by mean curvature flow [article]

Zhou Gang
2019 arXiv   pre-print
We obtain a detailed description of a possibly small, but fixed, neighborhood of the blowup point, up to (and including) the blowup time, and find that it is mean convex.  ...  We consider one of the generic regimes of formation of singularities.  ...  For the importance of mean convexity (or having positive mean curvature), namely non-fattening, we refer to the results in [19] .  ... 
arXiv:1803.10903v3 fatcat:ajgk5mcox5dfnpmnq6j3kwezp4

On the scalar curvature of constant mean curvature hypersurfaces in space forms [article]

Luis J. Alias, S. Carolina Garcia-Martinez
2009 arXiv   pre-print
In this paper we study the behavior of the scalar curvature S of a complete hypersurface immersed with constant mean curvature into a Riemannian space form of constant curvature, deriving a sharp estimate  ...  for the infimum of S.  ...  Let Σ be a complete surface immersed into a 3-dimensional space form M 3 c (c = 0, 1, −1) with constant mean curvature H.  ... 
arXiv:0902.4486v4 fatcat:ydytkxdqurfn7jmxibe7qcfphy

Forms of Relational Meaning: Reply to Commentaries

Boston Change Process Study Group, Jeremy P. Nahum
2008 Psychoanalytic dialogues  
concept of objectivism in our use of ideas from other fields.  ...  The first point concerns our use of the term implicit memory; the second point involves the terms and notions, enactment, unformulated experience, and dissociation; and the final response concerns the  ...  All forms of memory-implicit, explicit, and autobiographical-are subject to recontextualization in the light of further experience.  ... 
doi:10.1080/10481880801909583 fatcat:xqihttswofcr5fcpdbhd6ntuna
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