Symplectic geography problem in dimension six

In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.Comment: Published in 201

An invertibility criterion in a C*-algebra acting on the Hardy space with applications to composition operators

In this paper we prove an invertibility criterion for certain operators which is given as a linear algebraic combination of Toeplitz operators and Fourier multipliers acting on the Hardy space of the unit disc. Very similar to the case of Toeplitz operators we prove that such operators are invertible if and only if they are Fredholm and their Fredholm index is zero. As an application we prove that for "quasi-parabolic" composition operators the spectra and the essential spectra are equal.Comment: 10 pages. arXiv admin note: text overlap with arXiv:1002.4640, arXiv:1205.605

Computer vision-based dimension measurement system for olive identification

Olive tree is an important portion of the human history of Mediterranean nations. On the other hand, local varieties are important for each producer regions and even countries. So, olive cultivars are important for agricultural production for these people. The traditional pomological identifiers of the olive trees based on fruits and leaves, also morphometric analysis of size, additionally shape elliptic analysis of endocarp. Because of this reason, in this study, for the ‘Picual’ olive cultivar identification, a fast and easy method was presented. For this aim, ‘Picual’ olive leaf, fruit, and stone dimension measurement values obtained from real-time video images. ‘Picual’ olive fruit, stone, leaf samples evaluated by using real-time computer vision measurements. Regression analysis was applied to the data which was obtained from real-time video and caliper measurements. According to the regression coefficient results, the regression between caliper length measurement (OLLM) and computer vision video length measurement (OLLCV) found as 98.9%, also the regression between caliper width measurement (OLWM) and computer vision video width measurement (OLWCV) found as 97.9% at ‘Picual’ leaves, additionally, the regression between caliper length measurement (OFLM) and computer vision video length measurement (OFLCV) found as 98.5% the regression between caliper width measurement (OFWM) and computer vision video width measurement (OFWCV) found as 98.1 % at ‘Picual’ fruits, at last, the regression between caliper length measurement (OSLM) and computer vision video length measurement (OSLCV) found as 86.2%, the regression between caliper width measurement (OSWM) and computer vision video width measurement (OSWCV) found as 75.3% at ‘Picual’ stones

Real-Time Video Analysis in Agriculture by Using LabVIEW Software

Technological developments help us to make our lives easier, such as video analysis systems. Because of that reason, these systems are commonly used in different fields. So, this kind of applications is rising these days. There are two important factors for widespread of this technology. The first factor is an increase of video capture performances at video processing units, and the second factor is decrease in prices of the video processing units. In this chapter, some general information is given about video processing technique and the information held by a LabVIEW application. As LabVIEW application, finger anthropometric measurements have been performed by utilizing the video analysis technique for agricultural machinery and instrument evolution. At the application, real-time anthropometric measurements have been done from instantly obtained video images. Real-time anthropometric measurements of video images were obtained from Ankara University Faculty of Agriculture students by using LabVIEW software. To check result accuracy, the obtained value was compared with the caliper measurements. After that differences between the results were examined statistically. In the performed study, all real-time video image values show that this system can be used effectively for real-time anthropometric measurements