1,267 research outputs found
A Model for Classical Space-time Co-ordinates
Field equations with general covariance are interpreted as equations for a
target space describing physical space time co-ordinates, in terms of an
underlying base space with conformal invariance. These equations admit an
infinite number of inequivalent Lagrangian descriptions. A model for
reparametrisation invariant membranes is obtained by reversing the roles of
base and target space variables in these considerations.Comment: 9 pages, Latex. This was the basis of a talk given at the Argonne
National Laboratory 1996 Summer Institute : Topics on Non-Abelian Duality
June 27-July 1
ΠΠΎΠ²Π΅ΡΠΈΠ΅ ΠΊΠ°ΠΊ ΠΎΡΠ½ΠΎΠ²Π° ΠΏΠ°ΡΡΠ½Π΅ΡΡΠΊΠΎΠ³ΠΎ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΌΠ°Π»ΡΡ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΠΉ ΠΈ Π±Π°Π½ΠΊΠΎΠ²
The presented study touches upon two groups of problems that significantly affect the development of the Russian economy. The first of them is the creation of conditions for the expansion and formation of small business, which, in particular, is a priority area of one of the national projects. The second problem is the establishment of relations of interfirm trust in the domestic business environment, which is in demand in various sectors of the economy and has become, for example, the dominant topic of the St. Petersburg International Economic Forum. Hence, the paper aims to form, on the basis of trust relations, a model of interaction between small enterprises and banks, which makes it easier to obtain loans. The object of the paper is intercorporate (B2B) trust, and the subject is the improvement of relationships between small businesses and banks on the basis of trust. The methodological basis of the study is an integral approach that combines both institutional and sociological views on the phenomenon of trust, and the traditional economic analysis of the relationship between banks and their clients, small enterprises. The analysis showed, on the one hand, the complexity of the relationship between banks and small enterprises, and on the other hand, the prospects of these clients for banks. There was also demonstrated the role of the B2B trust as a tool for establishing steady mutually beneficial contacts of the subjects under consideration. The author concluded that the model of partnership between small enterprises and banks, based on the establishment of relations of trust between the parties, will stimulate investment processes in small business and support its development. The study presents the organizational solutions for the establishment of the proposed model.Π ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΈ Π·Π°ΡΡΠΎΠ½ΡΡΡ Π΄Π²Π΅ Π³ΡΡΠΏΠΏΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌ, ΡΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎ Π²Π»ΠΈΡΡΡΠΈΡ
Π½Π° ΡΠ°Π·Π²ΠΈΡΠΈΠ΅ ΡΠΎΡΡΠΈΠΉΡΠΊΠΎΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ. ΠΠ΅ΡΠ²Π°Ρ ΠΈΠ· Π½ΠΈΡ
β ΡΠΎΠ·Π΄Π°Π½ΠΈΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠΉ Π΄Π»Ρ ΡΠ°ΡΡΠΈΡΠ΅Π½ΠΈΡ ΠΈ ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΈΡ ΠΌΠ°Π»ΠΎΠ³ΠΎ Π±ΠΈΠ·Π½Π΅ΡΠ°, ΡΡΠΎ, Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ, ΡΠ²Π»ΡΠ΅ΡΡΡ ΠΏΡΠΈΠΎΡΠΈΡΠ΅ΡΠ½ΡΠΌ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠ΅ΠΌ ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΈΠ· Π½Π°ΡΠΈΠΎΠ½Π°Π»ΡΠ½ΡΡ
ΠΏΡΠΎΠ΅ΠΊΡΠΎΠ². ΠΡΠΎΡΠ°Ρ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ° β Π½Π°Π»Π°ΠΆΠΈΠ²Π°Π½ΠΈΠ΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ ΠΌΠ΅ΠΆΡΠΈΡΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ Π΄ΠΎΠ²Π΅ΡΠΈΡ Π² ΠΎΡΠ΅ΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠΉ Π±ΠΈΠ·Π½Π΅Ρ-ΡΡΠ΅Π΄Π΅, ΡΡΠΎ Π²ΠΎΡΡΡΠ΅Π±ΠΎΠ²Π°Π½ΠΎ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠΌΠΈ ΡΡΠ΅ΡΠ°ΠΌΠΈ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠΈ ΠΈ ΡΡΠ°Π»ΠΎ, ΠΊ ΠΏΡΠΈΠΌΠ΅ΡΡ, Π΄ΠΎΠΌΠΈΠ½Π°Π½ΡΠΎΠΉ ΠΠ΅ΡΠ΅ΡΠ±ΡΡΠ³ΡΠΊΠΎΠ³ΠΎ ΠΌΠ΅ΠΆΠ΄ΡΠ½Π°ΡΠΎΠ΄Π½ΠΎΠ³ΠΎ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΎΡΡΠΌΠ°. ΠΡΡΡΠ΄Π° ΡΠ΅Π»Ρ ΡΠ°Π±ΠΎΡΡ β ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ Π΄ΠΎΠ²Π΅ΡΠΈΡ ΠΌΠΎΠ΄Π΅Π»ΠΈ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΌΠ°Π»ΡΡ
ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΠΉ ΠΈ Π±Π°Π½ΠΊΠΎΠ², ΠΎΠ±Π»Π΅Π³ΡΠ°ΡΡΠ΅ΠΉ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΠ΅ Π·Π°Π΅ΠΌΠ½ΡΡ
ΡΡΠ΅Π΄ΡΡΠ². ΠΠ±ΡΠ΅ΠΊΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ β ΠΌΠ΅ΠΆΠΊΠΎΡΠΏΠΎΡΠ°ΡΠΈΠ²Π½ΠΎΠ΅ Π΄ΠΎΠ²Π΅ΡΠΈΠ΅, Π° ΠΏΡΠ΅Π΄ΠΌΠ΅Ρ β ΡΠΎΠ²Π΅ΡΡΠ΅Π½ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΠ΅ Π²Π·Π°ΠΈΠΌΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ ΠΌΠ°Π»ΡΡ
ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΠΉ ΠΈ Π±Π°Π½ΠΊΠΎΠ² Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π΄ΠΎΠ²Π΅ΡΠΈΡ. ΠΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²ΠΎΠΉ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΡΡΠ°Π» ΠΈΠ½ΡΠ΅Π³ΡΠ°Π»ΡΠ½ΡΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄, ΠΎΠ±ΡΠ΅Π΄ΠΈΠ½ΠΈΠ²ΡΠΈΠΉ ΠΊΠ°ΠΊ ΠΈΠ½ΡΡΠΈΡΡΡΠΈΠΎΠ½Π°Π»ΡΠ½ΡΠ΅ ΠΈ ΡΠΎΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π²Π·Π³Π»ΡΠ΄Ρ Π½Π° ΡΠ΅Π½ΠΎΠΌΠ΅Π½ Π΄ΠΎΠ²Π΅ΡΠΈΡ, ΡΠ°ΠΊ ΠΈ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π½Π°Π»ΠΈΠ· Π²Π·Π°ΠΈΠΌΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ Π±Π°Π½ΠΊΠΎΠ² ΡΠΎ ΡΠ²ΠΎΠΈΠΌΠΈ ΠΊΠ»ΠΈΠ΅Π½ΡΠ°ΠΌΠΈ β ΠΌΠ°Π»ΡΠΌΠΈ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΡΠΌΠΈ. ΠΡΠΎΠ²Π΅Π΄Π΅Π½Π½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΠΏΠΎΠΊΠ°Π·Π°Π», Ρ ΠΎΠ΄Π½ΠΎΠΉ ΡΡΠΎΡΠΎΠ½Ρ, ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ Π²Π·Π°ΠΈΠΌΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ Π±Π°Π½ΠΊΠΎΠ² ΠΈ ΠΌΠ°Π»ΡΡ
ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΠΉ, Π° Ρ Π΄ΡΡΠ³ΠΎΠΉ β ΠΏΠ΅ΡΡΠΏΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ Π΄Π°Π½Π½ΡΡ
ΠΊΠ»ΠΈΠ΅Π½ΡΠΎΠ² Π΄Π»Ρ Π±Π°Π½ΠΊΠΎΠ². Π’Π°ΠΊΠΆΠ΅ ΠΏΡΠΎΠ΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°Π½Π° ΡΠΎΠ»Ρ ΠΌΠ΅ΠΆΡΠΈΡΠΌΠ΅Π½Π½ΠΎΠ³ΠΎ Π΄ΠΎΠ²Π΅ΡΠΈΡ ΠΊΠ°ΠΊ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠ° Π½Π°Π»Π°ΠΆΠΈΠ²Π°Π½ΠΈΡ ΡΡΡΠΎΠΉΡΠΈΠ²ΡΡ
Π²Π·Π°ΠΈΠΌΠΎΠ²ΡΠ³ΠΎΠ΄Π½ΡΡ
ΠΊΠΎΠ½ΡΠ°ΠΊΡΠΎΠ² ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΠΌΡΡ
ΡΡΠ±ΡΠ΅ΠΊΡΠΎΠ². Π‘Π΄Π΅Π»Π°Π½ Π²ΡΠ²ΠΎΠ΄, ΡΡΠΎ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΏΠ°ΡΡΠ½Π΅ΡΡΠΊΠΎΠ³ΠΎ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΡ ΠΌΠ°Π»ΡΡ
ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΠΉ ΠΈ Π±Π°Π½ΠΊΠΎΠ², ΠΎΠΏΠΈΡΠ°ΡΡΠ°ΡΡΡ Π½Π° Π½Π°Π»Π°ΠΆΠΈΠ²Π°Π½ΠΈΠ΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ Π΄ΠΎΠ²Π΅ΡΠΈΡ ΡΡΠΎΡΠΎΠ½, ΠΏΠΎΠ·Π²ΠΎΠ»ΠΈΡ Π°ΠΊΡΠΈΠ²ΠΈΠ·ΠΈΡΠΎΠ²Π°ΡΡ ΠΈΠ½Π²Π΅ΡΡΠΈΡΠΈΠΎΠ½Π½ΡΠ΅ ΠΏΡΠΎΡΠ΅ΡΡΡ Π² ΠΌΠ°Π»ΠΎΠΌ Π±ΠΈΠ·Π½Π΅ΡΠ΅ ΠΈ Π±ΡΠ΄Π΅Ρ ΡΠΏΠΎΡΠΎΠ±ΡΡΠ²ΠΎΠ²Π°ΡΡ Π΅Π³ΠΎ ΡΠ°Π·Π²ΠΈΡΠΈΡ. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΎΠ½Π½ΡΠ΅ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΠΏΠΎ Π½Π°Π»Π°ΠΆΠΈΠ²Π°Π½ΠΈΡ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ°Π±ΠΎΡΡ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ
Formation of singularities on the surface of a liquid metal in a strong electric field
The nonlinear dynamics of the free surface of an ideal conducting liquid in a
strong external electric field is studied. It is establish that the equations
of motion for such a liquid can be solved in the approximation in which the
surface deviates from a plane by small angles. This makes it possible to show
that on an initially smooth surface for almost any initial conditions points
with an infinite curvature corresponding to branch points of the root type can
form in a finite time.Comment: 14 page
Conditional Lie-B\"acklund symmetry and reduction of evolution equations.
We suggest a generalization of the notion of invariance of a given partial
differential equation with respect to Lie-B\"acklund vector field. Such
generalization proves to be effective and enables us to construct principally
new Ans\"atze reducing evolution-type equations to several ordinary
differential equations. In the framework of the said generalization we obtain
principally new reductions of a number of nonlinear heat conductivity equations
with poor Lie symmetry and obtain their exact solutions.
It is shown that these solutions can not be constructed by means of the
symmetry reduction procedure.Comment: 12 pages, latex, needs amssymb., to appear in the "Journal of Physics
A: Mathematical and General" (1995
Our private data and the market for third-party providers of functionality to websites
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