Inequalities for the Crank

AbstractGarvan first defined certain “vector partitions” and assigned to each such partition a “rank.” Denoting byNV(r,m,n) the (weighted) count of the vector partitions ofnwith rankrmodulom, he gave a number of relations between the numbersNV(r,m,mn+k) whenm=5, 7 and 11, 0⩽r,k<m. The true crank whose existence was conjectured by Dyson was discovered by Andrews and Garvan who also showed thatNV(r,m,n)=M(r,m,n) unlessn=1, whereM(r,m,n) denotes the number of partitions ofnwhose cranks are congruent tormodulem. In the case of module 11, a simpler form of Garvan's results have been found by Hirschhorn. In fact, the Hirschhorn result was derived using Winquist's identity, but the details were omitted. In this work, from the simpler form we deduce some new inequalities between theM(r,11,11n+k)'s and give the details of Hirschhorn's result. We also prove some conjectures of Garvan in the case of module 7

Zihinsel canlandırmada açı özelliğinin duygu durumlarıyla ilişkisinin fizyolojik dışavurumu

Özer, A. Kadir (Dogus Author) -- Eremsoy, Cemile Ekin (Dogus Author)Bu proje içinde yer alan araştırma dizisinin amaçları, 1) göz açısından dış açıya, dış açıdan göz açısına çıkarak yapılan canlandırmalarda sınav kaygısı, öfke ve depresyon duygularındaki değişim sürecini fizyolojik ölçümlerle; 2) sınav kaygısında, öfkede ve depresyonda düşük ve yüksek olan bireylerde açı değiştirmenin görece etkilerini yine fizyolojik ölçümlerle ve 3) sınav kaygısının giderilmesinde göz açısıyla veya dış açıyla maruz bırakmanın görece etkinliğini saptamadır.TÜBİTA

Oxidation in Low Moisture Foods as a Function of Surface Lipids and Fat Content

Lipid oxidation is a major limitation to the shelf-life of low moisture foods and can lead to food waste. Little is known of whether the surface lipids in low moisture foods are more susceptible to oxidation since they are exposed to the environment. Therefore, the purpose of this research is to compare the rate of oxidation in surface and total lipids. Lipids in crackers were found to be in a heterogeneous matrix with proteins and starch, as determined by confocal microscopy. However, unlike spray-dried powders, both surface and interior lipids oxidized at similar rates, suggesting that the cracker matrix was not able to protect lipids from oxidation. Increasing the fat content of the crackers increased oxidation rates, which could be due to differences in the lipid structure or higher water activities in the high-fat crackers

On connected Boolean functions

Cataloged from PDF version of article.A Boolean function is called (co-)connected if the subgraph of the Boolean hypercube induced by its (false) true points is connected; it is called strongly connected if it is both connected and co-connected. The concept of (co-)geodetic Boolean functions is de ned in a similar way by requiring that at least one of the shortest paths connecting two (false) true points should consist only of (false) true points. This concept is further strengthened to that of convexity where every shortest path connecting two points of the same kind should consist of points of the same kind. This paper studies the relationships between these properties and the DNF representations of the associated Boolean functions. ? 1999 Elsevier Science B.V. All rights reserved

Video semantic content analysis framework based on ontology combined MPEG-7

The rapid increase in the available amount of video data is creating a growing demand for efficient methods for understanding and managing it at the semantic level. New multimedia standard, MPEG-7, provides the rich functionalities to enable the generation of audiovisual descriptions and is expressed solely in XML Schema which provides little support for expressing semantic knowledge. In this paper, a video semantic content analysis framework based on ontology combined MPEG-7 is presented. Domain ontology is used to define high level semantic concepts and their relations in the context of the examined domain. MPEG-7 metadata terms of audiovisual descriptions and video content analysis algorithms are expressed in this ontology to enrich video semantic analysis. OWL is used for the ontology description. Rules in Description Logic are defined to describe how low-level features and algorithms for video analysis should be applied according to different perception content. Temporal Description Logic is used to describe the semantic events, and a reasoning algorithm is proposed for events detection. The proposed framework is demonstrated in sports video domain and shows promising results

Semantic analysis of field sports video using a petri-net of audio-visual concepts

The most common approach to automatic summarisation and highlight detection in sports video is to train an automatic classifier to detect semantic highlights based on occurrences of low-level features such as action replays, excited commentators or changes in a scoreboard. We propose an alternative approach based on the detection of perception concepts (PCs) and the construction of Petri-Nets which can be used for both semantic description and event detection within sports videos. Low-level algorithms for the detection of perception concepts using visual, aural and motion characteristics are proposed, and a series of Petri-Nets composed of perception concepts is formally defined to describe video content. We call this a Perception Concept Network-Petri Net (PCN-PN) model. Using PCN-PNs, personalized high-level semantic descriptions of video highlights can be facilitated and queries on high-level semantics can be achieved. A particular strength of this framework is that we can easily build semantic detectors based on PCN-PNs to search within sports videos and locate interesting events. Experimental results based on recorded sports video data across three types of sports games (soccer, basketball and rugby), and each from multiple broadcasters, are used to illustrate the potential of this framework

Normal zone in YBa2Cu3O6+xYBa_2Cu_3O_{6+x}-coated conductors

We consider the distribution of an electric field in YBCO-coated conductors for a situation in which the DC transport current is forced into the copper stabilizer due to a weak link -- a section of the superconducting film with a critical current less than the transport current. The electric field in the metal substrate is also discussed. The results are compared with recent experiments on normal zone propagation in coated conductors for which the substrate and stabilizer are insulated from each other. The potential difference between the substrate and stabilizer, and the electric field in the substrate outside the normal zone can be accounted for by a large screening length in the substrate, comparable to the length of the sample. During a quench, the electric field inside the interface between YBCO and stabilizer, as well as in the buffer layer, can be several orders of magnitude greater than the longitudinal macroscopic electric field inside the normal zone. We speculate on the possibility of using possible microscopic electric discharges caused by this large ($\sim$kV/cm) electric field as a means to detect a quench.Comment: 8 pages, 4 figure

Western Blot Analysis of the IgG-Antibody Response to Acid- Glycine-Extracted Antigens from Campylobacter fetus subsp. fetus and C. jejuni in Naturally Infected Sheep

IgG-antibody response in aborting sheep and in apparently healthy sheep in a flock against acidglycine- extracted antigens from three strains for each C. fetus subsp. fetus and C. jejuni were analysed by Western blot. One strain of C. fetus subsp. fetus was isolated from aborting sheep. Western blot analysis of the sera revealed the presence of IgG antibody binding to the common antigens including proteins with the Mw of 63 kDa and 54 kDa in extracts from both C. fetus subsp. fetus and C. jejuni strains. In addition, IgG antibodies in sera from aborting sheep reacted more strongly with the antigens from C. fetus subsp. fetus strains with Mw of approximately 100, 95 and 86.5 kDa than those of apparently healthy sheep. The binding profile of the antibodies with these antigens appeared to be unique for each C. fetus subsp. fetus strain. On the other hand, IgG antibodies only in sera from aborting sheep recognized strongly the antigens of each C. fetus subsp. fetus strain at the Mw ranged from approximately 26 to 22 kDa. However, the antigenic components between 26 and 22 kDa were not detectable in coomassie blue stained gel and thought to have non-protein nature. These low molecular weight antigens of C. fetus subsp. fetus may be related to a recent infection in aborting sheep. These observations indicate that such speciesspecific antigens or conjugated protein antigens could be used for improving the specificity of the serological tests to detect C. fetus antibodies in sheep sera, and may be the candidates for subunit vaccines against ovine abortion

The effects of superconductor-stabilizer interfacial resistance on quench of current-carrying coated conductor

We present the results of numerical analysis of a model of normal zone propagation in coated conductors. The main emphasis is on the effects of increased contact resistance between the superconducting film and the stabilizer on the speed of normal zone propagation, the maximum temperature rise inside the normal zone, and the stability margins. We show that with increasing contact resistance the speed of normal zone propagation increases, the maximum temperature inside the normal zone decreases, and stability margins shrink. This may have an overall beneficial effect on quench protection quality of coated conductors. We also briefly discuss the propagation of solitons and development of the temperature modulation along the wire.Comment: To be published in Superconductor Science and Technology. This preprint contains one animated figure (Fig. 6(a)). when asked whether you want to play the content, click "Play". Acrobat Reader (Windows and Mac, but not Linux) will play embedded flash movies. In the printed copy Fig. 6(b) will show the temperature profile at gamma t=15