A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2011; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Universes in explicit mathematics

2001
*
Annals of Pure and Applied Logic
*

This paper deals with

doi:10.1016/s0168-0072(00)00057-9
fatcat:7alxn3zpknapnp4ok4hnmzu3bu
*universes**in**explicit**mathematics*. After introducing some basic definitions, the limit axiom and possible ordering principles for*universes*are discussed. ... Special emphasis is put on theories for*explicit**mathematics*with*universes*which are proof-theoretically equivalent to Feferman's T 0 . ...*Explicit**mathematics**Explicit**mathematics*has been introduced*in*Feferman [5] as a framework for Bishop style constructive*mathematics*. ...##
###
On integration of special types of differential inequalities in explicit form

2019
*
Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy
*

Keywords: differential inequality, comparison theorems, integration

doi:10.21638/11701/spbu01.2019.202
fatcat:gsmsj7tckze7hnce2qntvr2bja
*in**explicit*form, general solution, method of variations, continuation of solution, nonuniqueness points. ...##
###
General problems of integration of differential inequalities in explicit form

2017
*
Vestnik of Saint Petersburg University Mathematics Mechanics Astronomy
*

This article examines the problem of finding

doi:10.21638/11701/spbu01.2017.408
fatcat:hr4li65mavappngtf6uiadnivq
*in**explicit*form all solutions of the first-order nonstrict differential inequality. ... Вып. 4 случае a 1 < b 1 выполнялось Литература GENERAL PROBLEMS OF INTEGRATION OF DIFFERENTIAL INEQUALITIES*IN**EXPLICIT*FORM Yuriy A. Iljin St. ...##
###
Explicit model for surface waves in a pre-stressed, compressible elastic half-space

2020
*
International Journal of Mathematics and Physics
*

The paper is concerned with the derivation of the hyperbolic-elliptic asymptotic model for surface wave

doi:10.26577/ijmph.2020.v11.i1.02
fatcat:th65viqc6nc6bc2rylzikh5wiu
*in*a pre-stressed, compressible, elastic half-space, within the framework of plane-strain assumption ... As a result, the vector problem of elasticity is reduced to a scalar one for the scaled Laplace equation*in*terms of the auxiliary function, with the boundary condition is formulated as a hyperbolic equation ...*Explicit*model for surface wave field Following the procedure*in*[18], the following ansatz for displacement components may be adopted i i i u u u i . (2.11) The leading order problem is then ...##
###
Explicit Models for Flexural Edge Waves in Thin Orthotropic Plates

Явные модели распространения изгибных краевых волн в тонких полубесконечных ортотропных пластинах

2013
*
Izvestiya of Saratov University New Series Series Mathematics Mechanics Informatics
*

Явные модели распространения изгибных краевых волн в тонких полубесконечных ортотропных пластинах

Analysis of flexural edge wave propagation

doi:10.18500/1816-9791-2013-13-1-1-64-69
fatcat:3tmtukqj25bdrj2kv3saavf5xe
*in*thin plates is presented. Several problems of semi-infinite plates vibrations are solved. These plates are assumed to be orthotropic. ... Some basic features of flexural edge wave propagation are found using the constructed*explicit*parabolic-elliptic models. They extract the localized wave contribution into the overall solution. ... на торце w*in*(x, 0) = w e (x), D y ∂ 2 w*in*∂y 2 = −D 1 ∂ 2 w e ∂x 2 . ...##
###
Explicit integral representations of implicit functions

2013
*
Carpathian Journal of Mathematics
*

We derive the mentioned representation formulas of inverse functions within a very general framework on general domains

doi:10.37193/cjm.2013.02.16
fatcat:yxs4vxzkk5adnhohlcze5g2jny
*in*several dimensions. ... The main goal of the paper is to obtain*explicit*integral representations of implicit functions whose existence is guaranteed by the implicit function theory. ... THE OPEN*UNIVERSITY*OF JAPAN 2-11 WAKABA, MIHAMA-KU, 261-8586 CHIBA, JAPAN E-mail address: k-murata@hb.tp1.jp CENTER FOR R&D*IN**MATHEMATICS*AND APPLICATIONS DEPARTMENT OF*MATHEMATICS*,*UNIVERSITY*OF AVEIRO ...##
###
Explicit Models for Flexural Edge and Interfacial Waves in Thin Isotropic Plates

Явные модели распространения изгибных краевых и интерфейсных волн в тонких изотропных пластинах

2013
*
Izvestiya of Saratov University New Series Series Mathematics Mechanics Informatics
*

Явные модели распространения изгибных краевых и интерфейсных волн в тонких изотропных пластинах

These waves do not appear

doi:10.18500/1816-9791-2013-13-1-1-56-63
fatcat:kfvsd42ktvea3e3olvsqhxatum
*in*an*explicit*form*in*the original equations of motion within the framework of the classical Kirchhoff plate theory. ...*In*the thesis*explicit*dual parabolic-elliptic models are constructed for the Konenkov flexural edge wave and the Stoneley-type flexural interfacial wave*in*case of thin linearly elastic plates. ... This is the lower limit of the*universal*expression for r*in*all problems solved*in*the thesis. ...##
###
A Case of an Explicit Solutions for the Three-element Problem of Carleman Type for Analytic Functions in a Circle

ОБ ОДНОМ СЛУЧАЕ ЯВНОГО РЕШЕНИЯ ТРЕХЭЛЕМЕНТНОЙ ЗАДАЧИ ТИПА КАРЛЕМАНА ДЛЯ АНАЛИТИЧЕСКИХ ФУНКЦИЙ В КРУГЕ

2016
*
Izvestiya of Saratov University New Series Series Mathematics Mechanics Informatics
*

ОБ ОДНОМ СЛУЧАЕ ЯВНОГО РЕШЕНИЯ ТРЕХЭЛЕМЕНТНОЙ ЗАДАЧИ ТИПА КАРЛЕМАНА ДЛЯ АНАЛИТИЧЕСКИХ ФУНКЦИЙ В КРУГЕ

A Case of an

doi:10.18500/1816-9791-2016-16-2-159-165
fatcat:wsr3jvwtpjflfhzlktzgakvfua
*Explicit*Solutions for the Three-element Problem of Carleman Type for Analytic Functions*in*a Circle The article investigates the three-element Carleman boundary value problem*in*the class ... Then it is proved that if the boundary condition coefficients are rational functions , and shift a linear-fractional function, then the boundary value problem is solved*in*an*explicit*form (*in*quadrature ...##
###
Explicit Representation of the Euler and Navier – Stokes Equations of Incompressible Fluid with Reduced Dimensionality in Integral Form

Явное представление сокращенных в размерности уравнений Эйлера и Навье – Стокса несжимаемой жидкости в интегральной форме

2022
*
Mathematical Physics and Computer Simulation
*

Явное представление сокращенных в размерности уравнений Эйлера и Навье – Стокса несжимаемой жидкости в интегральной форме

The peculiarity of this work lies

doi:10.15688/mpcm.jvolsu.2022.1.1
fatcat:2bu5ofrslvbn5c7vkl6nsjexki
*in*the fact that all the equations reduced*in*dimension are obtained*in*an*explicit*form,*in*contrast to the previous works of the authors, where up to 200–300 equations ... , to track vortex activity at a distance from this object*in*real time. ... The peculiarity of this work lies*in*the fact that all the equations reduced*in*dimension are obtained*in*an*explicit*form,*in*contrast to the previous works of the authors, where up to 200-300 equations ...##
###
An explicit representation and enumeration for negacyclic codes of length \begin{document}$ 2^kn $\end{document} over \begin{document}$ \mathbb{Z}_4+u\mathbb{Z}_4 $\end{document}

2019
*
Advances in Mathematics of Communications
*

*In*this paper, we give an

*explicit*representation and enumeration for negacyclic codes of length 2 k n over the local non-principal ideal ring R = Z 4 + uZ 4 (u 2 = 0), where k, n are arbitrary positive ... Moreover, we provide an exact mass formula for the number of negacyclic codes of length 2 k n over R and correct several mistakes

*in*some literatures. 2010

*Mathematics*Subject Classification: Primary: ... Acknowledgments Part of this work was done when Yonglin Cao was visiting Chern Institute of

*Mathematics*, Nankai

*University*, Tianjin, China. ...

##
###
Explicit investment setting in a Kaldor macroeconomic model with macro shock

2018
*
Discrete and Continuous Dynamical Systems. Series S
*

*In*reality, externally macro shocks are essential attributes

*in*a macroeconomic system. ...

*In*the former cycles are generated due to the nonlinear investment function. Nevertheless, the investment lag is addressed

*in*the latter. ...

*In*practice, a completely

*explicit*investment setting is more preferred and could be executed more expediently. ...

##
###
Reflections on reflections in explicit mathematics

2005
*
Annals of Pure and Applied Logic
*

We give a broad discussion of reflection principles

doi:10.1016/j.apal.2005.05.008
fatcat:yxyzm4djkncf7f42u6hb2rbeby
*in**explicit**mathematics*, thereby addressing various kinds of*universe*existence principles. ... The proof-theoretic strength of the relevant systems of*explicit**mathematics*is couched*in*terms of suitable extensions of Kripke-Platek set theory. ... The next step is to introduce the concept of a*universe**in**explicit**mathematics*. ...##
###
Homogenized equations of the linear elasticity in two-dimensional domains with very rough interfaces

2010
*
Mechanics research communications
*

Since these equations are

doi:10.1016/j.mechrescom.2010.02.006
fatcat:ij5vekat5bfm5illqvav7i6a4q
*in**explicit*form, they are significant*in*practical applications. ... The main purpose of the present paper is to find homogenized equations*in**explicit*form of the linear elasticity theory*in*a two-dimensional domain with a very rough interface. ... Since these equations are*in**explicit*form, they are significant*in*practical applications. © 2010 Elsevier Ltd. All rights reserved. ...##
###
Page 72 of Mathematics Teacher Vol. 28, Issue 2
[page]

1935
*
Mathematics Teacher
*

72 THE

*MATHEMATICS*TEACHER importance of*mathematics**in*the college curriculum are refuted by existing tendencies to remove*explicit*mention of more than a bare minimum of*mathematics*from the college ...*in*secondary*mathematics*. ...##
###
Page 102 of The Annals of Mathematical Statistics Vol. 6, Issue 2
[page]

1935
*
The Annals of Mathematical Statistics
*

Kullback,®

*in*his thesis, has made further extensions and has applied them successfully to the distribution problem*in*statistics. 1 Presented to the American*Mathematical*Society, February 23, 1935. 2 ...*In*this paper we present the following results: (1) We have obtained an*explicit*expression for the distribution of means of samples of n; (2) we have obtained an*explicit*expression for the distribution ...
« Previous

*Showing results 1 — 15 out of 376,110 results*