Microprocessor-based polynomial generator

A new method of generating polynomials using microprocessors is proposed. The polynomial is generated as a 16-bit digital word. The algorithm for generating a variety of basic 'building block' functions and its implementation is discussed. A technique for generating a generalized polynomial based on the proposed algorithm is indicated. The performance of the proposed generator is evaluated using a commercially available microprocessor kit.

A cryptographic system based on finite field transforms

In this paper, we develop a cipher system based on finite field transforms. In this system, blocks of the input character-string are enciphered using congruence or modular transformations with respect to either primes or irreducible polynomials over a finite field. The polynomial system is shown to be clearly superior to the prime system for conventional cryptographic work.

Albert Einstein Portraits; Men

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Finite element analysis of laminated anisotropic thin-walled open-section beams

A finite element analysis of thin-walled open-section laminated anisotropic beams is presented herein. A two-noded, 8 degrees of freedom per node thin-walled open-section laminated anisotropic beam finite element has been developed and used. The displacements of the element reference axes are expressed in terms of one-dimensional first order Hermite interpolation polynomials and line member assumptions are invoked in the formulation of the stiffness matrix. The problems of: 1. (a) an isotropic material Z section straight cantilever beam, and 2. (b) a single-layer (0°) composite Z section straight cantilever beam, for which continuum solutions (exact/approximate) are possible, have been solved in order to evaluate the performance of the finite element. Its applicability has been shown by solving the following problems: 3. (c) a two-layer (45°/−45°) composite Z section straight cantilever beam, 4. (d) a three-layer (0°/45°/0°) composite Z section straight cantilever beam.

Albert Einstein sailing with Margarete Lebach; Huntington Portraits; Couples

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Albert Einstein and unidentified man Portraits Groups; Men

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Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Exterior

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Deck; Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Exterior

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Study; Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Interior

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Staircase; Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Interior

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Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Exterior

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Deck; Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Exterior

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View from Deck; Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Exterior

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Elsa Einstein with unidentified woman sitting on the porch of Albert Einstein's Weekend Home; Caputh, near Berlin Architecture; Residences; Exterior

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A laminated anisotropic curved beam and shell stiffening finite element

The details of development of the stiffness matrix of a laminated anisotropic curved beam finite element are reported. It is a 16 dof element which makes use of 1-D first order Hermite interpolation polynomials for expressing it's assumed displacement state. The performance of the element is evaluated considering various examples for which analytical or other solutions are available.