The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
M Hasegawa - One of the best experts on this subject based on the ideXlab platform.
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Algebraic Expression of the ibm3 hamiltonian in terms of various quantum numbers ii numerical test
Nuclear Physics, 1992Co-Authors: M Hasegawa, S TazakiAbstract:Abstract The Algebraic Expression of the IBM3 hamiltonian in terms of various quantum numbers is numerically examined. Calculated energy levels and reduced matrix elements of the charge independent quadrupole operator are compared with the results obtained by the full IBM3 hamiltonian of Thompson et al . The analysis aims to test the ability of the Algebraic hamiltonians and to investigate the Algebraic properties of the IBM3 different from those of the IBM1. The best Algebraic hamiltonian including a J ( J +1) term is phenomenologically applied to energy levels observed in 44 Ti, 46 Ti and 48 Cr. The applicability of the IBM3 is discussed.
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Algebraic Expression of the ibm3 hamiltonian in terms of various quantum numbers
Nuclear Physics, 1991Co-Authors: M HasegawaAbstract:Abstract The properties of the IBM3 hamiltonian are Algebraically studied. The IBM3 hamiltonian determined microscopically has as characteristic that the isospin T , rmrather than the spin J , is essential to classifying the energy spectra. The T -dependence of the two-body boson interactions is expressed in terms of the Casimir operators or quantum numbers of various groups. This Algebraic approach makes preparations for phenomenological understanding of light nuclei with definite isospin.
S Tazaki - One of the best experts on this subject based on the ideXlab platform.
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Algebraic Expression of the ibm3 hamiltonian in terms of various quantum numbers ii numerical test
Nuclear Physics, 1992Co-Authors: M Hasegawa, S TazakiAbstract:Abstract The Algebraic Expression of the IBM3 hamiltonian in terms of various quantum numbers is numerically examined. Calculated energy levels and reduced matrix elements of the charge independent quadrupole operator are compared with the results obtained by the full IBM3 hamiltonian of Thompson et al . The analysis aims to test the ability of the Algebraic hamiltonians and to investigate the Algebraic properties of the IBM3 different from those of the IBM1. The best Algebraic hamiltonian including a J ( J +1) term is phenomenologically applied to energy levels observed in 44 Ti, 46 Ti and 48 Cr. The applicability of the IBM3 is discussed.
Dereck S. Meek - One of the best experts on this subject based on the ideXlab platform.
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curve design with more general planar pythagorean hodograph quintic spiral segments
Computer Aided Geometric Design, 2013Co-Authors: D. J. Walton, Dereck S. MeekAbstract:Spiral segments are useful in the design of fair curves. They are important in CAD/CAM applications, the design of highway and railway routes, trajectories of mobile robots and other similar applications. The quintic Pythagorean-hodograph (PH) curve discussed in this article is polynomial; it has the attractive properties that its arc-length is a polynomial of its parameter, and the formula for its offset is a rational Algebraic Expression. This paper generalises earlier results on planar PH quintic spiral segments and examines techniques for designing fair curves using the new results.
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g2 curve design with a pair of pythagorean hodograph quintic spiral segments
Computer Aided Geometric Design, 2007Co-Authors: D. J. Walton, Dereck S. MeekAbstract:When designing curves, it is often desirable to join two points, at which G^2 Hermite data are given, by a low degree parametric polynomial curve which has no extraneous curvature extrema. Such curves are referred to as being fair. The join can be accomplished by constructing the curve from a pair of polynomial spiral segments. The purpose may be practical, e.g., in highway design, or aesthetic, e.g., in the computer aided design of consumer products. A Pythagorean hodograph curve is polynomial and has the attractive properties that its arc-length is a polynomial of its parameter, and the formula for its offset is a rational Algebraic Expression. A technique for composing a fair curve from a pair of Pythagorean hodograph quintic spiral segments is examined and presented.
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g 2 curves composed of planar cubic and pythagorean hodograph quintic spirals
Computer Aided Geometric Design, 1998Co-Authors: D. J. Walton, Dereck S. MeekAbstract:Abstract Spiral segments are useful in the design of fair curves. They are important in CAD/CAM applications, the design of highway and railway routes, trajectories of mobile robots and other similar applications. A Pythagorean hodograph curve has the properties that its arc-length is a polynomial of its parameter, and the formula for its offset is a rational Algebraic Expression. Recent work demonstrated the composition of G 2 curves by joining circular arcs and/or straight line segments with cubic Bezier spiral segments and Pythagorean hodograph quintic spiral segments. These spiral segments are members of wider classes of spiral segments which are now examined. Selecting members from these wider classes of spiral segments allows for more flexible curve design; it is not necessary to incorporate circular arcs and straight line segments when using them.
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A Pythagorean hodograph quintic spiral
Computer-aided Design, 1996Co-Authors: D. J. Walton, Dereck S. MeekAbstract:Abstract A polynomial curve with a Pythagorean hodograph has the properties that its arc-length is a polynomial of its parameter, and its offset is a rational Algebraic Expression. A quintic is the lowest degree Pythagorean hodograph curve that may have an inflection point and that inflection point allows a segment of it to be joined to a straight line segment while preserving continuity of curvature, continuity of position, and continuity of tangential direction. The curvature of a spiral varies monotonically with arc-length. Spiral segments are useful in the design of fair curves. A Pythagorean hodograph quintic spiral is presented which allows the design of fair curves in a nurbs based cad system. It is also suitable for applications such as highway design in which the clothoid has traditionally been used.
D. J. Walton - One of the best experts on this subject based on the ideXlab platform.
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curve design with more general planar pythagorean hodograph quintic spiral segments
Computer Aided Geometric Design, 2013Co-Authors: D. J. Walton, Dereck S. MeekAbstract:Spiral segments are useful in the design of fair curves. They are important in CAD/CAM applications, the design of highway and railway routes, trajectories of mobile robots and other similar applications. The quintic Pythagorean-hodograph (PH) curve discussed in this article is polynomial; it has the attractive properties that its arc-length is a polynomial of its parameter, and the formula for its offset is a rational Algebraic Expression. This paper generalises earlier results on planar PH quintic spiral segments and examines techniques for designing fair curves using the new results.
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g2 curve design with a pair of pythagorean hodograph quintic spiral segments
Computer Aided Geometric Design, 2007Co-Authors: D. J. Walton, Dereck S. MeekAbstract:When designing curves, it is often desirable to join two points, at which G^2 Hermite data are given, by a low degree parametric polynomial curve which has no extraneous curvature extrema. Such curves are referred to as being fair. The join can be accomplished by constructing the curve from a pair of polynomial spiral segments. The purpose may be practical, e.g., in highway design, or aesthetic, e.g., in the computer aided design of consumer products. A Pythagorean hodograph curve is polynomial and has the attractive properties that its arc-length is a polynomial of its parameter, and the formula for its offset is a rational Algebraic Expression. A technique for composing a fair curve from a pair of Pythagorean hodograph quintic spiral segments is examined and presented.
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g 2 curves composed of planar cubic and pythagorean hodograph quintic spirals
Computer Aided Geometric Design, 1998Co-Authors: D. J. Walton, Dereck S. MeekAbstract:Abstract Spiral segments are useful in the design of fair curves. They are important in CAD/CAM applications, the design of highway and railway routes, trajectories of mobile robots and other similar applications. A Pythagorean hodograph curve has the properties that its arc-length is a polynomial of its parameter, and the formula for its offset is a rational Algebraic Expression. Recent work demonstrated the composition of G 2 curves by joining circular arcs and/or straight line segments with cubic Bezier spiral segments and Pythagorean hodograph quintic spiral segments. These spiral segments are members of wider classes of spiral segments which are now examined. Selecting members from these wider classes of spiral segments allows for more flexible curve design; it is not necessary to incorporate circular arcs and straight line segments when using them.
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A Pythagorean hodograph quintic spiral
Computer-aided Design, 1996Co-Authors: D. J. Walton, Dereck S. MeekAbstract:Abstract A polynomial curve with a Pythagorean hodograph has the properties that its arc-length is a polynomial of its parameter, and its offset is a rational Algebraic Expression. A quintic is the lowest degree Pythagorean hodograph curve that may have an inflection point and that inflection point allows a segment of it to be joined to a straight line segment while preserving continuity of curvature, continuity of position, and continuity of tangential direction. The curvature of a spiral varies monotonically with arc-length. Spiral segments are useful in the design of fair curves. A Pythagorean hodograph quintic spiral is presented which allows the design of fair curves in a nurbs based cad system. It is also suitable for applications such as highway design in which the clothoid has traditionally been used.
Akhta Kalam - One of the best experts on this subject based on the ideXlab platform.
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simple and efficient method for load flow solution of radial distribution networks
International Journal of Electrical Power & Energy Systems, 1995Co-Authors: Debapriya Das, D P Kothari, Akhta KalamAbstract:The paper presents a simple and efficient method for solving radial distribution networks. The proposed method involves only the evaluation of a simple Algebraic Expression of voltage magnitudes and no trigonometric functions as opposed to the standard load flow case. Thus, computationally the proposed method is very efficient and it requires less computer memory. The proposed method can easily handle different types of load characteristics. Several Indian rural distribution networks have been successfully solved by using the proposed method.