Planimetry of Economic States

2015 ◽  
Vol 3 (2) ◽  
pp. 16-24
Author(s):  
S. Melnyk ◽  
I. Tuluzov ◽  
A. Melnyk
Keyword(s):  
Vector Space ◽  
Economic System ◽  
Scalar Product ◽  
Physical Method ◽  
Physical Methods ◽  
New Information ◽  
Euclidean Vector Space

The new information physical method of constructing the space of economic states is proposed. Unlike the existing theories of consumption, its properties are completely determined axiomatically by the operation of measurement and do not require phenomenological assumptions. The authors consider a transaction of exchange of valuables between two proprietors as such operation. The result of measurement is a dimensional number equal to the proportion of exchange. The constructed space appears to be Euclidean vector space with ordinary operators of composition of vectors, their scalar product, etc. The task of determining the parameters of equilibrium of a complex economic system can be formulated as a task of statics in the constructed space and can be solved by one of the physical methods.

scholarly journals Complex interpolation of a Banach space with its dual

2000 ◽  
Vol 87 (2) ◽  
pp. 200
Author(s):  
Frédérique Watbled
Keyword(s):  
Banach Space ◽  
Hilbert Space ◽  
Vector Space ◽  
Unconditional Basis ◽  
Scalar Product ◽  
Dual Space ◽  
Function Spaces ◽  
Complex Interpolation

Let $X$ be a Banach space compatible with its antidual $\overline{X^*}$, where $\overline{X^*}$ stands for the vector space $X^*$ where the multiplication by a scalar is replaced by the multiplication $\lambda \odot x^* = \overline{\lambda} x^*$. Let $H$ be a Hilbert space intermediate between $X$ and $\overline{X^*}$ with a scalar product compatible with the duality $(X,X^*)$, and such that $X \cap \overline{X^*}$ is dense in $H$. Let $F$ denote the closure of $X \cap \overline{X^*}$ in $\overline{X^*}$ and suppose $X \cap \overline{X^*}$ is dense in $X$. Let $K$ denote the natural map which sends $H$ into the dual of $X \cap F$ and for every Banach space $A$ which contains $X \cap F$ densely let $A'$ be the realization of the dual space of $A$ inside the dual of $X \cap F$. We show that if $\vert \langle K^{-1}a, K^{-1}b \rangle_H \vert \leq \parallel a \parallel_{X'} \parallel b \parallel_{F'}$ whenever $a$ and $b$ are both in $X' \cap F'$ then $(X, \overline{X^*})_{\frac12} = H$ with equality of norms. In particular this equality holds true if $X$ embeds in $H$ or $H$ embeds densely in $X$. As other particular cases we mention spaces $X$ with a $1$-unconditional basis and Köthe function spaces on $\Omega$ intermediate between $L^1(\Omega)$ and $L^\infty(\Omega)$.

scholarly journals Product rule for vector fractional derivatives

2012 ◽  
Vol 15 (3) ◽  
Author(s):  
Diogo Bolster ◽  
Mark Meerschaert ◽  
Alla Sikorskii
Keyword(s):  
Vector Space ◽  
Fractional Derivatives ◽  
Fourier Transforms ◽  
Product Rule ◽  
Finite Dimensional ◽  
Euclidean Vector Space ◽  
Derivatives Of

AbstractThis paper establishes a product rule for fractional derivatives of a realvalued function defined on a finite dimensional Euclidean vector space. The proof uses Fourier transforms.

SOURCING CHIHUAHUAN POLYCHROME CERAMICS: ASSESSING MEDIO PERIOD ECONOMIC ORGANIZATION

2017 ◽  
Vol 29 (1) ◽  
pp. 143-168 ◽  
Author(s):  
Daniela Triadan ◽  
Eduardo Gamboa Carrera ◽  
M. James Blackman ◽  
Ronald L. Bishop
Keyword(s):  
Economic System ◽  
Large Scale ◽  
Wide Distribution ◽  
Economic Organization ◽  
The Political ◽  
Casas Grandes ◽  
New Information ◽  
Production And Distribution ◽  
Ceramic Sourcing

Traditionally, the wide distribution of distinctive Chihuahuan polychrome ceramics has been interpreted as evidence for the extensive interaction sphere of Casas Grandes, or Paquime. The role of the major center of Paquime in the political and economic system is a crucial question in defining the nature and intensity of interactions in the Casas Grandes region and the extent of intraregional social and political integration. A large-scale, regional sourcing project using Chihuahuan polychrome ceramics provides new information on their production and distribution. It also demonstrates the limitations of ceramic sourcing analyses and presents a strong case for the fact that the underlying geology of a region determines the resolution at which ceramics can be attributed to production loci or resource procurement zones.

scholarly journals Classification of linear operators satisfying (Au,v)=(u,Av) or (Au,Av)=(u,v) on a vector space with indefinite scalar product

2021 ◽  
Vol 611 ◽  
pp. 118-134
Author(s):  
Victor Senoguchi Borges ◽  
Iryna Kashuba ◽  
Vladimir V. Sergeichuk ◽  
Eduardo Ventilari Sodré ◽  
André Zaidan
Keyword(s):  
Vector Space ◽  
Scalar Product ◽  
Linear Operators

Using of physical methods for increasing germination of seed of Salvia stepposa (Lamiaceae)

2021 ◽  
Author(s):  
M.Yu. Ishmuratova ◽  
◽  
D.V. Ageev ◽  
D.S. Baigarayev
Keyword(s):  
Magnetic Field ◽  
Germination Rate ◽  
Physical Method ◽  
Physical Methods ◽  
Pre Treatment

The article presents the results of studying the effects of physical methods (magnetic field irradiation, bubbling), on the germination rate and energy of germination of Salvia stepposa seeds after storage for 1.5 years. The obtained results show that the seeds viability indices have increased reliably when irradiated with a single magnetic field for 3 days and bubbling for 24 hours. Bubbling is recognized as the best physical method of pre-treatment for Salvia stepposa seeds.

Cathodoluminescence Quenching in Yb-Doped ZnO Nanostructures

2009 ◽  
Vol 5 ◽  
pp. 177-183 ◽  
Author(s):  
A. Susarrey-Arce ◽  
M. Herrera-Zaldívar ◽  
W. de la Cruz ◽  
Umapada Pal
Keyword(s):  
Energy Transfer ◽  
Thermal Treatment ◽  
Point Defects ◽  
Chemical Method ◽  
Oxygen Vacancies ◽  
Energy Transfer Process ◽  
Physical Method ◽  
Zno Nanostructures ◽  
Physical Methods ◽  
Doped Zno

Cathodoluminescence (CL) quenching was observed in ZnO nanostructures when doped with Yb by both chemical and physical methods. CL spectra of the samples revealed a defect emission at 2.25 eV in samples prepared by the chemical method, and an emission at 2.5 eV in samples prepared by the physical method. From the thermal treatment studies, it was found that oxygen vacancies are responsible for the 2.5 eV emission. Observed CL quenching in ZnO is explained through the participation of point defects in the energy transfer process from ZnO to Yb3+.

Sign in / Sign up

Export Citation Format

Share Document