scholarly journals On the minimality of quasi-sum production models in microeconomics

2021 ◽  
Author(s):  
Yawei Du ◽  
Yu Fu ◽  
Xiaoshu Wang
Keyword(s):  
Euclidean Space ◽  
Economic Analysis ◽  
Minimal Surfaces ◽  
Production Functions ◽  
Central Problem ◽  
Euclidean Spaces ◽  
Production Models

Historically, the minimality of surfaces is extremely important in mathematics and the study of minimal surfaces is a central problem, which has been widely concerned by mathematicians. Meanwhile, the study of the shape and the properties of the production models is a great interest subject in economic analysis. The aim of this paper is to study the minimality of quasi-sum production functions as graphs in a Euclidean space. We obtain minimal characterizations of quasi-sum production functions with two or three factors as hypersurfaces in Euclidean spaces. As a result, our results also give a classification of minimal quasi-sum hypersurfaces in dimensions two and three.

scholarly journals On Quasi-Homogeneous Production Functions

Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 976 ◽  
Author(s):  
Alina-Daniela Vîlcu ◽  
Gabriel-Eduard Vîlcu
Keyword(s):  
Production Function ◽  
Production Functions ◽  
Marginal Rate ◽  
Constant Elasticity ◽  
Marginal Rate Of Substitution ◽  
Production Models ◽  
Homogeneous Production ◽  
Rate Of Substitution ◽  
Homogeneous Production Function

In this paper, we investigate the class of quasi-homogeneous production models, obtaining the classification of such models with constant elasticity with respect to an input as well as with respect to all inputs. Moreover, we prove that a quasi-homogeneous production function f satisfies the proportional marginal rate of substitution property if and only f reduces to some symmetric production functions.

scholarly journals Some Characterizations of the Cobb-Douglas and CES Production Functions in Microeconomics

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Xiaoshu Wang ◽  
Yu Fu
Keyword(s):  
Differential Geometry ◽  
Economic Analysis ◽  
Production Function ◽  
Production Functions ◽  
Euclidean Spaces ◽  
Production Possibility ◽  
Constant Return ◽  
Production Possibility Frontier ◽  
Theory Of Production ◽  
Douglas Production Function

It is well known that the study of the shape and the properties of the production possibility frontier is a subject of great interest in economic analysis. Vîlcu (Vîlcu, 2011) proved that the generalized Cobb-Douglas production function has constant return to scale if and only if the corresponding hypersurface is developable. Later on, the authors A. D. Vîlcu and G. E. Vîlcu, 2011 extended this result to the case of CES production function. Both results establish an interesting link between some fundamental notions in the theory of production functions and the differential geometry of hypersurfaces in Euclidean spaces. In this paper, we give some characterizations of minimal generalized Cobb-Douglas and CES production hypersurfaces in Euclidean spaces.

scholarly journals Unification and classification of two-dimensional crystalline patterns using orbifolds

2014 ◽  
Vol 70 (4) ◽  
pp. 319-337 ◽  
Author(s):  
S. T. Hyde ◽  
S. J. Ramsden ◽  
V. Robins
Keyword(s):  
Euclidean Space ◽  
Minimal Surfaces ◽  
Three Dimensional ◽  
Hyperbolic Groups ◽  
Dimensional Euclidean Space ◽  
Two Dimensional ◽  
Triply Periodic Minimal Surfaces ◽  
Triply Periodic ◽  
Simple Rules

The concept of an orbifold is particularly suited to classification and enumeration of crystalline groups in the euclidean (flat) plane and its elliptic and hyperbolic counterparts. Using Conway's orbifold naming scheme, this article explicates conventional point, frieze and plane groups, and describes the advantages of the orbifold approach, which relies on simple rules for calculating the orbifold topology. The article proposes a simple taxonomy of orbifolds into seven classes, distinguished by their underlying topological connectedness, boundedness and orientability. Simpler `crystallographic hyperbolic groups' are listed, namely groups that result from hyperbolic sponge-like sections through three-dimensional euclidean space related to all known genus-three triply periodic minimal surfaces (i.e.theP,D,Gyroid,CLPandHsurfaces) as well as the genus-fourI-WPsurface.

Social-Psychological Models in Labor Motivation Analysis

2004 ◽  
pp. 90-101 ◽  
Author(s):  
A. Surkov
Keyword(s):  
Economic Analysis ◽  
Psychological Approach ◽  
Social Psychological ◽  
Economic Man ◽  
The Social ◽  
Psychological Models ◽  
Social Psychological Approach

Benefits of using social-psychological approach in the analysis of labor motivations are considered in the article. Classification of employees as objects of economic analysis is offered: "the economic man", "the man of the organization", "the social man" and "the asocial man". Related models give the opportunity to predict behavior of the firm in different situations, such as shocks of various nature.

scholarly journals Characterisation of upper gradients on the weighted Euclidean space and applications

2021 ◽  
Author(s):  
Danka Lučić ◽  
Enrico Pasqualetto ◽  
Tapio Rajala
Keyword(s):  
Euclidean Space ◽  
Sobolev Space ◽  
Radon Measure ◽  
Lipschitz Functions ◽  
Euclidean Spaces ◽  
Upper Gradient

AbstractIn the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.

scholarly journals Classification of generalized Yamabe solitons in Euclidean spaces

2021 ◽  
pp. 2150022
Author(s):  
Shunya Fujii ◽  
Shun Maeta
Keyword(s):  
Vector Field ◽  
Position Vector ◽  
Euclidean Spaces ◽  
Yamabe Solitons ◽  
Gradient Solitons

In this paper, we consider generalized Yamabe solitons which include many notions, such as Yamabe solitons, almost Yamabe solitons, [Formula: see text]-almost Yamabe solitons, gradient [Formula: see text]-Yamabe solitons and conformal gradient solitons. We completely classify the generalized Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field.

scholarly journals Implementation of C4.5 Algorithm for Critical Land Prediction in Agricultural Cultivation Areas in Pemali Jratun Watershed

2019 ◽  
Vol 2 (2) ◽  
pp. 67
Author(s):  
Deden Istiawan ◽  
Laelatul Khikmah
Keyword(s):  
Complex System ◽  
Land Use ◽  
Policy Making ◽  
Critical Level ◽  
Production Functions ◽  
Accuracy Rate ◽  
Physical Systems ◽  
C4.5 Algorithm ◽  
The Impact

Watershed is a complex system that is built on physical systems, biological systems and human systems that are related to each other. Each component has a distinctive nature and its existence is related to other components so as to form a unified ecosystem. Land use that does not pay attention to the conservation requirements of land and water causes land degradation which ultimately results in critical land. The impact of critical land is not only the withdrawal of soil properties, but also results in a decrease in production functions. Prediction of the critical level of land is needed to reduce the level of damage to the watershed, so that it can be used for policy making by the relevant agencies. In this research C4.5 algorithm will be applied to predictions of critical land in agricultural cultivation areas using critical land parameters. Based on the results of the research on critical land classification of agricultural cultivation areas in the jratun pemali watershed it can be concluded that the C.45 algorithm can be implemented to predict critical land in agricultural cultivation areas with an accuracy rate of 92.47%.

scholarly journals A Pair of Rigid Surfaces with pg= q = 2 and K2= 8 Whose Universal Cover is Not the Bidisk

2018 ◽  
Vol 2020 (11) ◽  
pp. 3453-3493
Author(s):  
Francesco Polizzi ◽  
Carlos Rito ◽  
Xavier Roulleau
Keyword(s):  
Minimal Surfaces ◽  
Universal Cover ◽  
The Family ◽  
Albanese Map ◽  
Rigid Surfaces

Abstract We construct two complex-conjugated rigid minimal surfaces with $p_g\!=q=2$ and $K^2\!=8$ whose universal cover is not biholomorphic to the bidisk $\mathbb{H} \times \mathbb{H}$. We show that these are the unique surfaces with these invariants and Albanese map of degree 2, apart from the family of product-quotient surfaces given in [33]. This completes the classification of surfaces with $p_g=q=2, K^2=8$, and Albanese map of degree 2.

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