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The theory of measuring structural vibration using high-resolution images is presented first, based on sub-pixel edge identification.
This paper is organized as follows: in the 'Specifying DMU's inputs and outputs' section, the fundamental theory of measuring the efficiency of the universities, programs, colleges, and departments is reviewed.
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The theory and method of measuring the light wavelength may find important application to the design of grating spectrometer.
It organizes Lebesgue's theory of measures (described in the section Measure theory).
In 1918 he published a set theory, the following year a theory of measure, and by 1923 a theory of functions, all developed without using the principle of the excluded middle.
It turns out to be simpler, however, not only to use Lebesgue's theory of measure to define probabilities but also to use his theory of integration to define expectation.
He later expanded the most important of these papers, "General Theory of Measure and Probability Theory"—which aimed to develop a rigorous, axiomatic foundation for probability into an influential monograph Grundbegriffe der Wahrscheinlichkeitsrechnung (1933; Foundations of the Theory of Probability, 1950).
Although this sounds simple, the mathematical theory of measures is rather involved.
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory.
The theory of measures of noncompactness can be found in the book of Akhmerov et al. [25] and in the book of Banaś and Goebel [26].
We will use the theory of measure of noncompactness and a fixed point theorem of Darbo type to establish a new existence theorem for the problem (1.1 - 1.2 1.1 - 1.2
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