Algorithms for Finding Inverse of Two Patterned Matrices overZp

Abstract and Applied Analysis ◽

10.1155/2014/840435 ◽

2014 ◽

Vol 2014 ◽

pp. 1-6

Author(s):

Xiaoyu Jiang ◽

Kicheon Hong

Keyword(s):

Circulant Matrix ◽

Basic Properties ◽

Hensel Lifting ◽

Network Engineering ◽

The Cost ◽

Patterned Matrices ◽

Chinese Remaindering

Circulant matrix families have become an important tool in network engineering. In this paper, two new patterned matrices overZpwhich include row skew first-plus-last right circulant matrix and row first-plus-last left circulant matrix are presented. Their basic properties are discussed. Based on Newton-Hensel lifting and Chinese remaindering, two different algorithms are obtained. Moreover, the cost in terms of bit operations for each algorithm is given.

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Efficient concrete increased water resistance modified with mineral and polymeric additives

E3S Web of Conferences ◽

10.1051/e3sconf/20199702017 ◽

2019 ◽

Vol 97 ◽

pp. 02017 ◽

Cited By ~ 1

Author(s):

Evgeniy Velichko ◽

Nikita Polkovnikov ◽

Yuliya Sadchikova

Keyword(s):

Portland Cement ◽

Water Resistance ◽

High Price ◽

Underground Structures ◽

Basic Properties ◽

Polymeric Additives ◽

Impervious Layer ◽

The Subject ◽

The Cost

The article deals with issues of optimizing the composition of efficient concrete increased water resistance, reducing its cost without losing or increasing its basic properties. In recent years, the most effective method of tightness to water in the construction of buried and underground structures, as opposed to the use of bituminous and other traditional materials, is a method based on the use of concrete with increased water resistance. This type of tightness to water is called “White bath” in Europe. The essence of the technology is that the role of the impervious layer is performed directly by the concrete itself. The subject of the study is the composition of self-stressing concrete, which has a high density and fastness to water, but a high price compared to the concrete on Portland cement, which limits its wide application. The aim of the study is the development and optimization of the composition or stressing concrete with desired properties using a variety of mineral and polymeric additives to reduce the cost of the finished product while maintaining or improving the significant operational indicators.

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Some Basic Properties of Some Special Matrices. Part III

Formalized Mathematics ◽

10.2478/v10037-012-0010-4 ◽

2012 ◽

Vol 20 (1) ◽

pp. 73-77

Author(s):

Xiquan Liang ◽

Tao Wang

Keyword(s):

Symmetric Matrix ◽

Circulant Matrix ◽

Basic Properties

Some Basic Properties of Some Special Matrices. Part III This article describes definitions of subsymmetric matrix, anti-subsymmetric matrix, central symmetric matrix, symmetry circulant matrix and their basic properties.

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The IBM-PC in electron microscopy

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100165525 ◽

1996 ◽

Vol 54 ◽

pp. 612-613

Author(s):

James F. Mancuso

Keyword(s):

Head Start ◽

Image Acquisition ◽

Cost Effective ◽

Financial Applications ◽

Number Of Factors ◽

Instrument Control ◽

The Cost ◽

Training And Support ◽

Control Image ◽

Ibm Pc

IBM PC compatible computers are widely used in microscopy for applications ranging from control to image acquisition and analysis. The choice of IBM-PC based systems over competing computer platforms can be based on technical merit alone or on a number of factors relating to economics, availability of peripherals, management dictum, or simple personal preference.IBM-PC got a strong “head start” by first dominating clerical, document processing and financial applications. The use of these computers spilled into the laboratory where the DOS based IBM-PC replaced mini-computers. Compared to minicomputer, the PC provided a more for cost-effective platform for applications in numerical analysis, engineering and design, instrument control, image acquisition and image processing. In addition, the sitewide use of a common PC platform could reduce the cost of training and support services relative to cases where many different computer platforms were used. This could be especially true for the microscopists who must use computers in both the laboratory and the office.

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New Feasible Concepts of Aberration Correction for Realizing High-Resolution Electron Microscopes

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100179762 ◽

1990 ◽

Vol 48 (1) ◽

pp. 202-203

Author(s):

H. Rose

Keyword(s):

Spherical Aberration ◽

Wave Length ◽

Electron Wave ◽

Optical Lens ◽

Resolution Electron ◽

Rotationally Symmetric ◽

Electron Microscopes ◽

The Cost ◽

Imaging Performance ◽

Acceleration Voltage

The imaging performance of the light optical lens systems has reached such a degree of perfection that nowadays numerical apertures of about 1 can be utilized. Compared to this state of development the objective lenses of electron microscopes are rather poor allowing at most usable apertures somewhat smaller than 10-2 . This severe shortcoming is due to the unavoidable axial chromatic and spherical aberration of rotationally symmetric electron lenses employed so far in all electron microscopes.The resolution of such electron microscopes can only be improved by increasing the accelerating voltage which shortens the electron wave length. Unfortunately, this procedure is rather ineffective because the achievable gain in resolution is only proportional to λ1/4 for a fixed magnetic field strength determined by the magnetic saturation of the pole pieces. Moreover, increasing the acceleration voltage results in deleterious knock-on processes and in extreme difficulties to stabilize the high voltage. Last not least the cost increase exponentially with voltage.

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