Lattice

As said by Archimedes give me a long enough lever and a fulcrum and I shall move the world A bell crank lever is a connector component which is used to change the direction of force applied on to a component. the motion of it can be restricted to various angles most commonly used angles being 90 degrees and 180 degrees. thus, undergoing high working comprehensive and tensile stress. we try to analyze the stresses induced in the bell crank lever based on conventional design methods and strengthen them by lattice structure design. the applications being from automotive to aircraft sectors due to its compact fitting and high stress tolerate capacity and as a light weight component.

Louis Hjelmslev en sus Prolegómenos a una teoría del lenguaje anticipa los fundamentos de una teoría semiótica axiomáticamente consistente. El andamiaje teórico construido por Hjelmslev busca conformar un 'álgebra lingüística' cuyo principio de articulación es la relación de ...

Third-generation low-emittance storage-ring light sources based on double- and triple-bend cells and undulator magnets have been in operation around the world for more than two decades. On the horizon is a new generation based on the multi-bend achromat (MBA) lattice concept promising two to three orders of magnitude higher brightness than is available in today's sources. In this paper, the challenges inherent in designing MBA lattices, as well as potential solutions, are described. Topics covered include lattice concepts, scaling of storage-ring performance, brightness optimization, nonlinear dynamics, beam lifetime and injection schemes.

Lattice-based signature schemes following the Goldreich–Goldwasser–Halevi (GGH) design have the unusual property that each signature leaks information on the signer’s secret key, but this does not necessarily imply that such schemes are insecure. At Eurocrypt ’03, Szydlo proposed a potential attack by showing that the leakage reduces the key-recovery problem to that of distinguishing integral quadratic forms. He proposed a

In this study, magnesia stabilized zirconia based nanocrystalline ceramics were produced through a polymer precursor route using gadolinium and boron. The powders were characterized during the various steps by structural and morphological techniques (FT-IR, XRD, and SEM). XRD results proved that a tetragonal phase is predominant for all samples with varying magnesium contents and no monoclinic zirconia solid solution appears. The crystallite sizes of the samples were calculated using Scherrer equation. The smallest crystallite size was obtained for the sample containing Zr/Mg/Ce/Gd/B ratio of 82/0/10/8/0. The lattice parameters were calculated for cubic, tetragonal, hexagonal, and orthorhombic structures. SEM results show all the samples have spherical grains. The average grain diameters were calculated for all the samples. The smallest average grain diameter was obtained for the sample containing Zr/Mg/Ce/Gd/B ratio of 82/0/10/8/0.

We consider special subclasses of the class of Lindelöf Σ-spaces obtained by imposing restrictions on the weight of the elements of compact covers that admit countable networks: A space X is in the class LΣ( � κ) if it admits a cover by compact subspaces of weight κ and a countable network for the cover. We restrict our attention to κ ≤ ω. In the case κ = ω, the class includes the class of metrizably fibered spaces considered by Tkachuk, and the P-approximable spaces considered by Tkačenko. The case κ = 1 corresponds to the spaces of countable network weight, but even the case κ = 2 gives rise to a nontrivial class of spaces. The relation of known classes of compact spaces to these classes is considered. It is shown that not every Corson compact of weight ℵ1 is in the class LΣ( ≤ ω), answering a question of Tkachuk. As well, we study whether certain compact spaces in LΣ( ≤ ω) have dense metrizable subspaces, partially answering a question of Tkačenko. Other interesting results and e...

In this paper, an optimal aggregation and counter-aggregation (drill-down) methodology is proposed on multidimensional data cube. The main idea is to aggregate on smaller cuboids after partitioning those depending on the cardinality of the individual dimensions. Based on the operations to make these partitions, a Galois Connection is identified for formal analysis that allow to guarantee the soundness of optimizations of storage space and time complexity for the abstraction and concretization functions defined on the lattice structure. Our contribution can be seen as an application to OLAP operations on multidimensional data model in the Abstract Interpretation framework.

Internet of things (IoT) deals with massive collected data. Most of these data are personality information that needs to be protected from hacking and unauthorized access. In other hand, these massive data needs processing speed. To meet these requirements, this paper provides modifications on NTRU public key cryptosystem to prevent LLL algorithm from recover the plain text from known cipher text.The method is based on a specific swapping process in the encryption process to thwart it. In addition to use suggest a method that can generatedynamic sequences of keys in a parallel manner that use to encrypt the data in IoT environment applications.

This paper gives a isomorphic representation of the subtheories RT − , RT − EC, and RT of Asher and Vieu’s first-order ontology of mereotopology RT0. It corrects and extends previous work on the representation of these mereotopologies. We develop the theory of p-ortholattices – lattices that are both orthocomplemented and pseudocomplemented – and show that the identity (x·y) ∗ = x ∗ +y ∗ defines the natural class of Stonian p-ortholattices. Equivalent conditions for a p-ortholattice to be Stonian are given. The main contribution of the paper consists of a representation theorem for RT − as Stonian p-ortholattices. Moreover, it is shown that the class of models of RT − EC is isomorphic to the non-distributive Stonian p-ortholattices and a representation of RT is given by a set of four algebras of which one need to be a subalgebra of the present model. As corollary we obtain that Axiom (A11) – existence of two externally connected regions – is in fact a theorem of the remaining axioms...

In this paper, we study the security of multi-prime RSA whose modulus is N = p1p2 pr for r 3 with small prime difference of size N . In ACISP 2013, Zhang and Takagi showed a Fermat-like factoring attack, which can directly factor N for < 1 r2. We improve this bound to theoretically achieve < 2 r(r+2) by a new factoring attack. Furthermore, we also analyse specific MPRSA with imbalanced prime factors. Experimental results are provided to show the efficiency of our attack.