Completeness Property of Information Quanta

2017 ◽  
pp. 139-149
Author(s):  
Vladimir D. Noghin
Keyword(s):  
Completeness Property

scholarly journals On p-h Points and Completeness Property of a Partial Metric Space

2018 ◽  
Vol 16 (2) ◽  
pp. 393-400
Author(s):  
A.P. Baisnab ◽  
◽  
Sumana Pal
Keyword(s):  
Metric Space ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Completeness Property

scholarly journals On Summability of Spectral Expansions Corresponding to the Sturm-Liouville Operator

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Alexander S. Makin
Keyword(s):  
Boundary Conditions ◽  
Liouville Operator ◽  
Root Function ◽  
Basis Property ◽  
Function System ◽  
Point Boundary ◽  
Spectral Expansions ◽  
Sturm Liouville ◽  
Completeness Property

We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment [0, 1]. All possible types of two-point boundary conditions are considered.

An Eigenfunction Expansion Method in the Stress Concentration Analysis

2012 ◽  
Vol 204-208 ◽  
pp. 4406-4409
Author(s):  
Yang Bai ◽  
Li Chen
Keyword(s):  
Stress Concentration ◽  
Boundary Conditions ◽  
Linear Combination ◽  
Eigenfunction Expansion ◽  
Original Problem ◽  
Expansion Method ◽  
Numerical Results ◽  
Eigenfunction Expansion Method ◽  
Completeness Property

This paper deals with the traditional stress concentration problems based on the eigenfunction expansion approach. Due to the completeness property of the eigenfunction space obtained by the previous researches, the solution of an arbitrary problem can be expressed by their linear combination. Thus the original problem is transformed into finding the combination of these eigenfuctions satisfying boundary conditions. By applying adjoint symplectic relationships of the ortho-normalization, the combination can be obtained numerically. Numerical results in tensional problems show that stress concentration appears when one of the ends of the solid is clamped. The concentration is seriously confined near the boundary of the fixed, and decrease rapidly with the distance of the boundarys.

Another Completeness Property

1964 ◽  
Vol 71 (1) ◽  
pp. 78
Author(s):  
Robert R. Christian
Keyword(s):  
Completeness Property

scholarly journals Closure of dilates of shift-invariant subspaces

2013 ◽  
Vol 11 (10) ◽  
Author(s):  
Moisés Soto-Bajo
Keyword(s):  
Fourier Transform ◽  
Spectral Function ◽  
Invariant Subspace ◽  
Invariant Subspaces ◽  
General Setting ◽  
Tight Frame ◽  
Local Behaviour ◽  
Approximate Continuity ◽  
Completeness Property ◽  
The Fourier Transform

AbstractLet V be any shift-invariant subspace of square summable functions. We prove that if for some A expansive dilation V is A-refinable, then the completeness property is equivalent to several conditions on the local behaviour at the origin of the spectral function of V, among them the origin is a point of A*-approximate continuity of the spectral function if we assume this value to be one. We present our results also in a more general setting of A-reducing spaces. We also prove that the origin is a point of A*-approximate continuity of the Fourier transform of any semiorthogonal tight frame wavelet if we assume this value to be zero.

Query language of stochastic information systems

1979 ◽  
Vol 2 (1) ◽  
pp. 351-363
Author(s):  
Beata Konikowska ◽  
Tadeusz Traczyk
Keyword(s):  
Information Systems ◽  
Canonical Form ◽  
Query Language ◽  
Completeness Property ◽  
Special Case ◽  
Additive Form

For a class of stochastic information systems a query language is defined and the completeness property proved. It is also shown that each term may be transformed into a canonical form, and in some special case into a normal additive form.

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