Drawing Area-Proportional Euler Diagrams Representing Up To Three Sets

Area-proportional Euler diagrams representing three sets are commonly used to visualize the results of medical experiments, business data, and information from other applications where statistical results are best shown using interlinking curves. Currently, there is no tool that will reliably visualize exact area-proportional diagrams for up to three sets. Limited success, in terms of diagram accuracy, has been achieved for a small number of cases, such as Venn-2 and Venn-3 where all intersections between the sets must be represented. Euler diagrams do not have to include all intersections and so permit the visualization of cases where some intersections have a zero value. This paper describes a general, implemented, method for visualizing all 40 Euler-3 diagrams in an area-proportional manner. We provide techniques for generating the curves with circles and convex polygons, analyze the drawability of data with these shapes, and give a mechanism for deciding whether such data can be drawn with circles. For the cases where non-convex curves are necessary, our method draws an appropriate diagram using non-convex polygons. Thus, we are now always able to automatically visualize data for up to three sets

Some Results for Drawing Area Proportional Venn3 With Convex Curves

Many data sets are visualized effectively with area proportional Venn diagrams, where the area of the regions is in proportion to a defined specification. In particular, Venn diagrams with three intersecting curves are considered useful for visualizing data in many applications, including bioscience, ecology and medicine. To ease the understanding of such diagrams, using restricted nice shapes for the curves is considered beneficial. Many research questions on the use of such diagrams are still open. For instance, a general solution to the question of when given area specifications can be represented by Venn3 using convex curves is still unknown. In this paper we study symmetric Venn3 drawn with convex curves and show that there is a symmetric area specification that cannot be represented with such a diagram. In addition, by using symmetric diagrams drawn with polygons, we show that, if area specifications are restricted so that the double intersection areas are no greater than the triple intersection area then the specification can be drawn with convex curves. We also propose a construction that allows the representation of some area specifications when the double intersection areas are greater than the triple intersection area. Finally, we present some open questions on the topic

Laboratory and Field Evaluation of Modified Asphalt Binders and Mixes for Alaskan Pavements

In order to properly characterize modified asphalt binders and mixes for Alaskan pavements, this study evaluated properties of 13 asphalt binders typically used in Alaska from three different suppliers, and 10 hot mix asphalt (HMA) mixtures which were either produced in the lab or collected from existing paving projects in Alaska. Various binder and mixture engineering properties were determined, including true high binder grades, complex modulus (G*), and phase angle (δ) at high performance temperatures, multiple stress creep recovery rate and compliance, bending beam rheometer stiffness and m-value, Glover-Rowe parameter, ΔT, rheological index, and crossover frequency for binders, and rut depth, critical strain energy release rate (Jc), Indirect tensile (IDT) creep stiffness and strength for mixtures. Binder cracking temperatures were determined using asphalt binder cracking device. Mixture cracking temperatures were determined with IDT creep compliance and strength data. It was found that rutting and cracking resistances of the mixtures with highly modified binders were better than the mixture with unmodified asphalt binder (PG 52-28). Future recommendations for highly modified asphalt binders applications and research were provided based on laboratory testing results and field survey evaluation

Plastic load evaluation for a fixed tube sheet heat exchanger subject to proportional loading

The plastic load of pressurised components can be calculated based on both the twice elastic slope and tangent methods. Both methods are problematic since they rely on parameters that are localised and therefore have a strong dependency on the gradient of the stress–strain diagram in the plastic region. The criterion of curvature of plastic work is a suitable replacement for the above techniques. This method calculates total plastic work done on the structure and relates its change to the curvature of the load-plastic work plot. In this work the plastic load has been calculated for a fixed tube sheet exchanger according to curvature criteria using various hardening scenarios. Plastic loads calculated by other methods also have been reported. It has been indicated that tube sheet thickness calculated according to the classical ASME procedure can be significantly reduced when based on the curvature criteria

Perlaksanaan mata pelajaran pendidikan teknik dan vokasional di peringkat sekolah menengah kebangsaan: satu tinjauan di daerah Batu Pahat

Kajian kes ini merupakan satu tinjauan terhadap perlaksanaan mata pelajaran pendidikan teknik dan vokasional di sekolah-sekolah menengah kebangsaan sekitar daerah Batu Pahat. Kajian ini bertujuan untuk mengenalpasti tahap kesediaan fizikal sekolah, kelayakan guru dan pencapaian pelajar di sekolah-sekolah yang menawarkan mata pelajaran berkaitan. Metodologi kajian adalah berasaskan kajian tinjauan dengan menggunakan 2 instrumen, iaitu soal selidik dan temubual. Maklumat yang diperolehi dari tinjauan awal permasalahan kajian ini menunjukkan penawaran mata pelajaran pendidikan teknik dan vokasional hanya melibatkan mata pelajaran Lukisan Kejuruteraan sahaja. Terdapat 4 buah sekolah menengah kebangsaan di daerah ini yang melaksanakan mata pelajaran tersebut bagi pelajar tingkatan 4 dan 5. Sampel kajian terdiri daripada 5 orang guru mata pelajaran Lukisan Kejuruteraan yang ditempatkan di sekolah-sekolah berkenaan. Dapatan utama kajian menunjukkan 60% responden mempunyai pengalaman mengajar 3 hingga 4 tahun di dalam mata pelajaran Lukisan Kejuruteraan. Kelulusan akademik tertinggi responden adalah di peringkat Ijazah Pertama iaitu 90% dengan 60% mempunyai latar belakang pendidikan di dalam bidang kejuruteraan. Dari segi kemudahan fizikal, kajian mendapati keseluruhan sekolah yang terlibat menyediakan 2 bilik iaitu bilik lukisan dan makmal komputer. Kebanyakan bangunan adalah bilik daijah yang diubahsuai 75% dan bangunan tambahan 25%. Secara keseluruhannya, prestasi pencapaian keseluruhan pelajar adalah pada tahap sederhana iaitu 80%, manakala 20% lagi memperolehi pencapaian pada tahap lemah. Terdapat beberapa cadangan dikemukakan untuk memperbaiki sistem yang sedia ada

Adaptive Target Recognition: A Case Study Involving Airport Baggage Screening

This work addresses the question whether it is possible to design a computer-vision based automatic threat recognition (ATR) system so that it can adapt to changing specifications of a threat without having to create a new ATR each time. The changes in threat specifications, which may be warranted by intelligence reports and world events, are typically regarding the physical characteristics of what constitutes a threat: its material composition, its shape, its method of concealment, etc. Here we present our design of an AATR system (Adaptive ATR) that can adapt to changing specifications in materials characterization (meaning density, as measured by its x-ray attenuation coefficient), its mass, and its thickness. Our design uses a two-stage cascaded approach, in which the first stage is characterized by a high recall rate over the entire range of possibilities for the threat parameters that are allowed to change. The purpose of the second stage is to then fine-tune the performance of the overall system for the current threat specifications. The computational effort for this fine-tuning for achieving a desired PD/PFA rate is far less than what it would take to create a new classifier with the same overall performance for the new set of threat specifications

On parton distributions beyond the leading order

The importance of properly taking into account the factorization scheme dependence of parton distribution functions is emphasized. A serious error in the usual handling of this topic is pointed out and the correct procedure for transforming parton distribution functions from one factorisation scheme to another recalled. It is shown that the conventional $\overline{\rm {MS}}$ and DIS definitions thereof are ill-defined due to the lack of distinction between the factorisation scheme dependence of parton distribution functions and renormalisation scheme dependence of the strong coupling constant $\alpha_s$. A novel definition of parton distribution functions is suggested and its role in the construction of consistent next-to-leading order event generators briefly outlined.Comment: PRA-HEP-93/05, Latex, 10 pages and 2 Postscript figures appended at the end of this fil

Use of OC curves in quality control with an example of sampling for mycotoxins

An ‘operating characteristics’ (OC) curve is a simple tool that has been in use in quality control for many years but does not seem to be widely applied in the particulate sampling field. The OC curve provides the probability that a lot of material will be deemed to meet a specification (will be found to have an assay that falls above (or below) a specified level, given the true assay of the lot). In the application considered herein, it provides the probability that a grain shipment will be accepted, given the true value of the assay for the lot. It directly measures the probability of a type II error. To construct the OC curve for a given sampling protocol, it is necessary to know all the relevant components of variance and their distribution, as a function of the level of contamination in the shipment. This may be quite a challenge in many circumstances as the assumption of normality of distributions may be poor when dealing with substances such as mycotoxins. The paper introduces the method of OC curve construction and reviews the method developed by Whitaker for the construction of OC curves for mycotoxins in a wide range of commodities. It is shown that his method excludes a potentially critical component of uncertainty. Further, the discussion concludes that the estimation of the distribution of the missing component of uncertainty is potentially prohibitively expensive and logistically very difficult. The final conclusion is that more intensive sampling methods should be employed for mycotoxins