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Frame Analysis of Irregular Periodic Sampling of Signals and Their Derivatives


The frame operator of this sequence is expressed as a matrixvalued function multiplying a vectorvalued function.


An important property of this matrix is that the maximum and minimum eigenvalues are equal (in some sense) to the upper and lower frame bounds.


We present a method for finding the dual frame and, thereby, a method for reconstructing the signal from its samples.


A sufficient condition for the sequence of sampling functions to constitute a frame is derived.

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This study was continued in the paper [FKRW] in the framework of vertex algebra theory.


A unified abstract framework for the multilevel decomposition of both Banach and quasiBanach spaces is presented.


Specific kernel functions for the continuous wavelet transform in higher dimension and new continuous wavelet transforms are presented within the framework of Clifford analysis.


A pair of CliffordFourier transforms is defined in the framework of Clifford analysis, as operator exponentials with a Clifford algebravalued kernel.


This work presents a quantitative framework for describing the overcompleteness of frames.

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 The loadsupporting wall is the main construction element of the prefabricated building now in vogue. It is, in fact, a thin rectangular plate, along the boundary of which is reinforced a frame. The loads directly act on the frame. Our problem is to analyse the stresses both in the plate and in the frame. The method of solution this paper suggests consists in using the trigonometric series together with the principle of minimum strain energy. On the basis of having satisfied the biharmonic equation... The loadsupporting wall is the main construction element of the prefabricated building now in vogue. It is, in fact, a thin rectangular plate, along the boundary of which is reinforced a frame. The loads directly act on the frame. Our problem is to analyse the stresses both in the plate and in the frame. The method of solution this paper suggests consists in using the trigonometric series together with the principle of minimum strain energy. On the basis of having satisfied the biharmonic equation for the plate, the requirement that along the connecting lines of the plate and the frame the displacements should be compatible is expressed by the condition that the strain energy of the whole system has to be minimum. Thus, we get a system of infinite simultaneous equations, from which to determine the necessary unknown coefficients. This article discusses two different loading conditions: the one concerns four concentrated loads at the middle of each sides of the frame, the other is for concentrated loads at each corner of the frame. From the rasults obtained, it can be known that the solution converges. very rapidly.  承重预制墙是装备式房屋的主要构件，它是在周界用一个框架加固的一块矩形薄板。作用的荷重系加在框架上，问题就在于分析板与框架内的应力。所提供的解法为：在板内满足双调和方程的基础上，运用整个系统的变形能为最小这条件，来满足板与框架在联结线上各点的位移相一致的条件。这样就得到了一系的无穷联立方程，从而决定应力的值。本文共讨论了两种荷重的形式：一是有四个集中力各作用在框架各边的中点，一是有集中力作用在框架的角点。  In this paper the working stroke of a screw press is onalyzed, leading to for mulas for the determination of the maximum stress in its frame. The working stroke is considered to consist of two successive stages: (1)the stage of plastic deformation of the workpiece and (2) the stage of braking the flywheel of the press to a stop. Since the maximum force Pm acting upon the frame may accidentally occur at the end of the second stage of the working stroke when there is no stock in the die. the value Pm is required... In this paper the working stroke of a screw press is onalyzed, leading to for mulas for the determination of the maximum stress in its frame. The working stroke is considered to consist of two successive stages: (1)the stage of plastic deformation of the workpiece and (2) the stage of braking the flywheel of the press to a stop. Since the maximum force Pm acting upon the frame may accidentally occur at the end of the second stage of the working stroke when there is no stock in the die. the value Pm is required in the calculation of the frame strength. The strength calculation for the integral closedtype frame of a screw press then proceeds as follows: (1) Drawing the bending moment diagram with the unknown Pm (being in nature a statically indeterminate problem with respect, to the internal bending moment, this may be solved by means of the canonical equations of the force method); (2) Calculating the strain energy stored up in the frame and in the threaded spindle at well as the expended friction work during the whole working stroke, then determining the maximum load Pm; (3) Supplying the bending moment diagram with numerical data in order to find where the maximum stress in the frame exists and check up whether it is within the magnitude of the safe stress of the frame material.  本文首先分析了摩擦压力机工作行程中机架的受力和变形情况，之后将整体式机加简化为一框架，通过求出作用在机架上的最大载荷及其引起的弯矩分布，确定危险截面并核验其上最大应力是否超过允许值。  This paper is devoted to the study of the torsional stresses in a reinforced concrete headframe of the frame cantilevertype under the unsymmetrical, horizontal load due to hoisting. Formula for the torsional stresses are presented. The headframe structure studied is composed of two trusses in the direction parallel to the hoisting load, and two rigid frames in the perpendicular direction. Taking the torsional action into account, as compared to an analysis neglecting torsion, would reduce the stresses in the... This paper is devoted to the study of the torsional stresses in a reinforced concrete headframe of the frame cantilevertype under the unsymmetrical, horizontal load due to hoisting. Formula for the torsional stresses are presented. The headframe structure studied is composed of two trusses in the direction parallel to the hoisting load, and two rigid frames in the perpendicular direction. Taking the torsional action into account, as compared to an analysis neglecting torsion, would reduce the stresses in the trurses up to 10～20%, whereas the stresses in the rigid frames are atmost doubled. From a considerable number of actual designs it is seen that the additional stress in the rigid frames often control the design of the sections.Obvious, this is a subject worthy of the attention of a designer.  本文着重论述了钢筋混凝土杆系悬臂式井架在提升钢丝绳荷载的不平衡水平力作用下所产生的扭力计算问题.文中并对扭力计算公式作了推导.按桁架框架型井架在断绳荷载作用下,考虑扭力计算与不考虑扭力计算,其结果,平行于钢丝绳力方向的桁架内力可减少10～20%左右;垂直于钢丝绳力方向的框架内力则增加100%(即,若不考虑扭力计算框架时无内力).许多设计实例证明,框架方面增加的内力常为控制截面强度计算的主要数据之一.显然,这一问题是值得引起设计者重视的.   << 更多相关文摘 
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