50 research outputs found

    Non-closed minimal hypersurfaces of S4(1)S^4(1) with identically zero Gauss-Kronecker curvature

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    We give a partial local description of minimal hypersurfaces M3M^3 with identically zero Gau\ss-Kronecker curvature function in the unit 44-sphere S41S^4{1}, without assumption on the compactness of M3M^3

    Intersections of quadrics with spheres

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    In Euclidean space Rn+2\R^{n+2} we study the intersections of central quadrics with spheres where we consider the intersections as hypersurfaces in §n+1(1)\S^{n+1}(1). It is our aim to characterize such intersections within the class of all hypersurfaces in §n+1(1)\S^{n+1}(1) with Weingarten operator of maximal rank. The methods we use are similar to methods from affine hypersurface theory

    Cubic form geometry for surfaces in S^3(1)

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    We consider the traceless part C^\widehat{C} of the difference tensor field CC between the Levi-Civita connections of the first and the second fundamental forms for non-degenerate surface immersions in §3(1)\S^3(1). In analogy to affine differential geometry of Rn+1\mathbb{R}^{n+1} where quadrics are characterized by the vanishing of the traceless cubic form, we study the condition C^=0\widehat{C}=0, give examples and classify non-degenerate surfaces in S3(1)S^3(1) which satisfy this condition

    Regular Points of a Subcartesian Space

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    We discuss properties of the regular part SregS_{reg} of a subcartesian space SS. We show that SregS_{reg} is open and dense in SS and the restriction to SregS_{reg} of the tangent bundle of SS is locally trivial

    Tchebychev surfaces of S^3(1) with constant curvature functions

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    We prove that Tchebychev surfaces of S3(1)\mathbb{S}^3(1) with constant mean curvature or with shape operator of constant squared length are isoparametric. We summarize our results in a survey of types of isoparametric and non-isoparametric Tchebychev surfaces

    Combining SDM-Based Circuit Switching with Packet Switching in a Router for On-Chip Networks

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    A Hybrid router architecture for Networks-on-Chip “NoC” is presented, it combines Spatial Division Multiplexing “SDM” based circuit switching and packet switching in order to efficiently and separately handle both streaming and best-effort traffic generated in real-time applications. Furthermore the SDM technique is combined with Time Division Multiplexing “TDM” technique in the circuit switching part in order to increase path diversity, thus improving throughput while sharing communication resources among multiple connections. Combining these two techniques allows mitigating the poor resource usage inherent to circuit switching. In this way Quality of Service “QoS” is easily provided for the streaming traffic through the circuit-switched sub-router while the packet-switched sub-router handles best-effort traffic. The proposed hybrid router architectures were synthesized, placed and routed on an FPGA. Results show that a practicable Network-on-Chip “NoC” can be built using the proposed router architectures. 7 × 7 mesh NoCs were simulated in SystemC. Simulation results show that the probability of establishing paths through the NoC increases with the number of sub-channels and has its highest value when combining SDM with TDM, thereby significantly reducing contention in the NoC

    Establishing African genomics and bioinformatics programs through annual regional workshops

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    The African BioGenome Project (AfricaBP) Open Institute for Genomics and Bioinformatics aims to overcome barriers to capacity building through its distributed African regional workshops and prioritizes the exchange of grassroots knowledge and innovation in biodiversity genomics and bioinformatics. In 2023, we implemented 28 workshops on biodiversity genomics and bioinformatics, covering 11 African countries across the 5 African geographical regions. These regional workshops trained 408 African scientists in hands-on molecular biology, genomics and bioinformatics techniques as well as the ethical, legal and social issues associated with acquiring genetic resources. Here, we discuss the implementation of transformative strategies, such as expanding the regional workshop model of AfricaBP to involve multiple countries, institutions and partners, including the proposed creation of an African digital database with sequence information relating to both biodiversity and agriculture. This will ultimately help create a critical mass of skilled genomics and bioinformatics scientists across Africa.</p

    Influence of promotional strategies on banks performance

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    This paper examines the nature and influence of the relationship between the bank’s promotional strategies and its performance and seeks to determine the importance of promotional strategies in explaining the bank’s performance. The study location was at the National Bank of Kenya. A descriptive research design employing a simple random sampling technique selected 88% of the bank branches whose managers were contacted using questionnaires. The data collected were analyzed using the SPSS software. Correlation analysis was conducted to establish the nature of the relationship between the bank’s promotional strategies and it performance while regression analysis used to explain its performance. Positive relationship was found to exist between promotional strategies expenditure and bank performance. Spending on promotional mixes individually had little effect on bank performance

    Schematic priming and the teaching of EFL reading in Zaire.

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