scholarly journals Corrigendum

1976 ◽  
Vol 22 (3) ◽  
pp. 383-383
Author(s):  
P. Hall
Keyword(s):  
Important Work ◽  
The Third ◽  
Special Case

My attention has been called to the fact that Theorem E1, quoted on p. 445 of my paper “On the embedding of a group in a join of given groups’, J. Austral. Math. Soc. 17 (1974), 434–495, is practically identical with Théoréme I (p. 47) of the second part of the three-part paper “Produit complet des groupes de permutations et probléme d'extension des groupes” by M. Krasner and L. Kaloujnine, Acta Sci. Math. Szeged 14 (1951), 39–66. My oversight in referring only to the third part of this important work, which contains the special case often quoted as the Kaloujnine-Krasner Theorem, is regrettable: it is the much more general and definitive Théoréme I which should be equally or better known by that name.

scholarly journals The Steady Profile of an Axisymmetric Ice Sheet

1981 ◽  
Vol 27 (95) ◽  
pp. 25-37 ◽  
Author(s):  
I. R. Johnson
Keyword(s):  
Aspect Ratio ◽  
Power Law ◽  
Viscous Incompressible Fluid ◽  
Ice Sheet ◽  
Plane Flow ◽  
The Third ◽  
Basal Sliding ◽  
Steady Plane ◽  
Third Dimension ◽  
Special Case

AbstractSteady plane flow under gravity of an axisymmetric ice sheet resting on a horizontal rigid bed, subject to surface accumulation and ablation, basal drainage, and basal sliding is treated according to a power law between shear traction and velocity. The surface accumulation is taken to depend on height, and the drainage and sliding coefficient also depend on the height of overlying ice. The ice is described as a general non-linearly viscous incompressible fluid, and temperature variation through the ice sheet is neglected. Illustrations are presented for Glen’s power law (including the special case of a Newtonian fluid), and the polynomial law of Colbeck and Evans. The analysis follows that of Morland and Johnson (1980) where the analogous problem for an ice sheet deforming under plane flow was considered. Comparisons are made between the two models and it is found that the effect of the third dimension is to reduce (or leave unchanged) the aspect ratio for the cases considered, although no general formula can be obtained. This reduction is seen to depend on both the surface accumulation and the sliding law.

scholarly journals Loglinear Model Formation using Hierachial Backward Method

2020 ◽  
Vol 2 (1) ◽  
pp. 28-36
Author(s):  
Siti Fatimah Sihotang ◽  
Zuhri
Keyword(s):  
Linear Model ◽  
Good Method ◽  
General Linear Model ◽  
Loglinear Model ◽  
Complete Model ◽  
The Third ◽  
Several Variables ◽  
Model Formation ◽  
Special Case ◽  
Categorical Scale

The loglinear model is a special case of a general linear model for poissondistributed data. The loglinear model is also a number of models in statistics that are used todetermine dependencies between several variables on a categorical scale. The number ofvariables discussed in this study were three variables. After the variables are investigated,the formation of the loglinear model becomes important because not all the modelinteraction factors that exist in the complete model become significant in the resultingmodel. The formation of the loglinear model in this study uses the Backward Hierarchicalmethod. This research makes loglinear modeling to get the model using the HierarchicalBackward method to choose a good method in making models with existing examples.From the challenging examples that have been done, it is known that the HierarchicalReverse method can model the third iteration or scroll. Then, also use better assessmentmethods about faster workmanship and computer-sponsored assessments that are used moreefficiently through compatibility testing for each model made

Exact third-order structure functions for two-dimensional turbulence

2018 ◽  
Vol 851 ◽  
pp. 672-686 ◽  
Author(s):  
Jin-Han Xie ◽  
Oliver Bühler
Keyword(s):  
Structure Functions ◽  
Spectral Energy ◽  
Order Structure ◽  
Two Dimensional ◽  
Third Order ◽  
Transfer Rates ◽  
The Third ◽  
Random Forcing ◽  
Asymptotic Expressions ◽  
Special Case

We derive and investigate exact expressions for third-order structure functions in stationary isotropic two-dimensional turbulence, assuming a statistical balance between random forcing and dissipation both at small and large scales. Our results extend previously derived asymptotic expressions in the enstrophy and energy inertial ranges by providing uniformly valid expressions that apply across the entire non-dissipative range, which, importantly, includes the forcing scales. In the special case of white noise in time forcing this leads to explicit predictions for the third-order structure functions, which are successfully tested against previously published high-resolution numerical simulations. We also consider spectral energy transfer rates and suggest and test a simple robust diagnostic formula that is useful when forcing is applied at more than one scale.

scholarly journals Remarks on Giovanni Sartor's Paper, The Logic of Proportionality: Reasoning with Non-Numerical Magnitudes

2013 ◽  
Vol 14 (8) ◽  
pp. 1457-1461
Author(s):  
Wojciech Załuski
Keyword(s):  
Conceptual Framework ◽  
Main Part ◽  
Strict Sense ◽  
Teleological Reasoning ◽  
The Third ◽  
Numerical Magnitudes ◽  
Goal Adoption ◽  
Constituent Elements ◽  
The Impact ◽  
Special Case

In his brilliant paper The Logic of Proportionality: Reasoning with Non-Numerical Magnitudes, Professor Sartor provides a multi-layered analysis of proportionality based on a model of teleological reasoning governed by value-norms, arguing that this kind of reasoning is quantitative but non-numerical, i.e., operates on magnitudes to which no symbolic numerals are assigned. The analysis pursued by Professor Sartor can be divided into three parts. In the first part, drawing on the theory of bounded rationality, Professor Sartor develops a model of teleological reasoning (of which proportionality reasoning is a special case) distinguishing its four stages: Value-adoption, goal-adoption, plan-adoption, and action-adoption. In the second part, he introduces and develops in great and illuminating detail a distinction between value-norms and action-norms. In the third—main—part, Professor Sartor makes the basic claim of his paper that proportionality reasoning (i.e., reasoning aimed at establishing whether a given legislative norm interfering with some constitutionally protected right is “proportional”), involving the assessment of the impact of choices upon relevant values, is quantitative but not based on numerical magnitudes, and develops a conceptual framework for reconstructing this reasoning and explicating its constituent elements (suitability, necessity, and balancing in the strict sense). Each of these parts abounds with valuable analyses and precious insights and would deserve a separate commentary, yet I shall confine myself mainly to the analysis of the third part, in which he develops his basic claim. I shall focus in the first place on two interpretive problems my reading of Professor Sartor's paper has given rise to, though some of my remarks will concern also more technical matters.

Analysis of the Operational Risk Controls in the Electric Power Plant

2013 ◽  
Vol 416-417 ◽  
pp. 2087-2091 ◽  
Author(s):  
Chun Ying Wang
Keyword(s):  
Risk Factors ◽  
Power Plant ◽  
System Analysis ◽  
Thermal Power ◽  
Control Measures ◽  
Important Work ◽  
The Third ◽  
Generating Capacity ◽  
Complex Production System ◽  
And Control

Thermal power generation is a complex production system, and electric operation is an important work. The generating capacity of Zhangjiakou power plant is 2400 thousand kW, ranking the third in our country. Its technology and equipment and the process are representative. In order to ensure the safety of the electrical operation, on the basis of analysis of accident cases for more than ten years, using the method of system analysis, this article summarizes the risk factors and control measures of electrical operation. With strict implementation, the electrical accidents of our planet will decrease year by year.

scholarly journals Surfaces of Finite III-type

2021 ◽  
Vol 15 ◽  
pp. 190-194
Author(s):  
Hassan Al-Zoubi
Keyword(s):  
Euclidean Space ◽  
Fundamental Form ◽  
Principal Curvature ◽  
Gauss Curvature ◽  
Dimensional Euclidean Space ◽  
Surfaces Of Revolution ◽  
3 Dimensional ◽  
The Third ◽  
Third Fundamental Form ◽  
Special Case

In this paper, we consider surfaces of revolution in the 3-dimensional Euclidean space E3 with nonvanishing Gauss curvature. We introduce the finite Chen type surfaces with respect to the third fundamental form of the surface. We present a special case of this family of surfaces of revolution in E3, namely, surfaces of revolution with R is constant, where R denotes the sum of the radii of the principal curvature of a surface.

scholarly journals On the roads to de se

2011 ◽  
Vol 21 ◽  
pp. 393 ◽  
Author(s):  
Emar Maier
Keyword(s):  
De Re ◽  
Dynamic Framework ◽  
The Third ◽  
Center Stage ◽  
De Se ◽  
De Dicto ◽  
Special Case

It is rather uncontroversial that there are different ways to report de se attitudes, but there is still disagreement about the number and the nature of the different mechanisms at work. Following Anand (2006), I distinguish three types of de se reporting: one a special case of de re, another expressed by shifted indexicals, and a third expressed by dedicated de se pronouns. For the first two I propose reductions to de re and de dicto reporting, respectively, couched in a dynamic framework where presupposition resolution takes center stage. For the third, I part ways with all current proposals in offering what is essentially a de re analysis of dedicated de se pronouns. I motivate this radical departure with examples of de se pronouns binding de re reflexives, as recently brought into the spotlights by Charlow (2010) and Sharvit (2010).

scholarly journals Uncertainty relations for two observables coupled with the third one

2017 ◽  
Vol 15 (08) ◽  
pp. 1740015 ◽  
Author(s):  
Viktor V. Dodonov
Keyword(s):  
Lower Boundary ◽  
Gaussian State ◽  
Uncertainty Relations ◽  
Two Dimensional ◽  
The Third ◽  
Special Case

A new lower boundary for the product of variances of two observables is obtained in the case, when these observables are entangled with the third one. This boundary can be higher than the Robertson–Schrödinger one. The special case of the two-dimensional pure Gaussian state is considered as an example.

scholarly journals Thermodynamical behavior of the variable Chaplygin gas

2015 ◽  
Vol 24 (05) ◽  
pp. 1550030 ◽  
Author(s):  
D. Panigrahi
Keyword(s):  
Cold Dark Matter ◽  
Universal Constant ◽  
Thermal Capacity ◽  
Chaplygin Gas ◽  
The Third ◽  
Positive Expression ◽  
Third Law Of Thermodynamics ◽  
Thermodynamical Behavior ◽  
Best Fit ◽  
Special Case

The thermodynamical behavior of the variable Chaplygin gas (VCG) model is studied, using an equation-of-state (EoS) like [Formula: see text], where [Formula: see text]. Here B0 is a positive universal constant, n is also a constant and V is the volume of the fluid. From the consideration of thermodynamic stability, it is seen that only if the values of n are allowed to be negative, then [Formula: see text] throughout the evolution. Again thermal capacity at constant volume cV shows positive expression. Using the best fit value of n = -3.4 as previously found by Guo and Zhang (Phys. Lett. B. 645 (2007) 326) gives that the fluid is thermodynamically stable throughout the evolution. The effective EoS for the special case of n = 0 goes to Λ Cold Dark Matter (ΛCDM) model. Again for n < 0, it favors phantom-like cosmology which is in agreement with the current SNe Ia constraints like VCG model. The deceleration parameter is also studied in the context of thermodynamics and the analysis shows that the flip occurs for the value of n < 4. Finally, the thermal EoS is discussed which is an explicit function of temperature only. It is also observed that the third law of thermodynamics is satisfied in this model. As expected, the volume increases as temperature falls during adiabatic expansions. In this case, for T → 0, the thermal EoS reduces to [Formula: see text], which is identical with the EoS for the case of large volume.

scholarly journals Regularized theta liftings and periods of modular functions

2015 ◽  
Vol 2015 (703) ◽  
Author(s):  
Jan H. Bruinier ◽  
Jens Funke ◽  
Özlem Imamoḡlu
Keyword(s):  
Modular Functions ◽  
Maass Forms ◽  
The Third ◽  
Special Case

AbstractIn this paper, we use regularized theta liftings to construct weak Maass forms of weight 1/2 as lifts of weak Maass forms of weight 0. As a special case we give a new proof of some of recent results of Duke, Toth and the third author on cycle integrals of the modular

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