Results 151 to 160 of about 51,212 (178)
Fano resonance in one-dimensional quasiperiodic topological phononic crystals towards a stable and high-performance sensing tool. [PDF]
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International Journal of Geometric Methods in Modern Physics, 2020
Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions. Quaternions in mathematics are essentially equivalent to Pauli spin matrices which can be generated by regarding a quaternion matrix as compound.
Erişir, Tülay, Güngör, Mehmet Ali
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Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions. Quaternions in mathematics are essentially equivalent to Pauli spin matrices which can be generated by regarding a quaternion matrix as compound.
Erişir, Tülay, Güngör, Mehmet Ali
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The Mathematical Gazette, 2022
We define a Fibonacci fraction circle to be a circle passing through an infinite number of points whose coordinates are of the form $\left( {{{{F_k}} \over {{F_m}}},{{{F_n}} \over {{F_m}}}} \right)$
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We define a Fibonacci fraction circle to be a circle passing through an infinite number of points whose coordinates are of the form $\left( {{{{F_k}} \over {{F_m}}},{{{F_n}} \over {{F_m}}}} \right)$
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Applied Optics, 2011
We introduce circular Fibonacci gratings (CFGs) that combine the concept of circular gratings and Fibonacci structures. Theoretical analysis shows that the diffraction pattern of CFGs is composed of fractal distributions of impulse rings. Numerical simulations are performed with two-dimensional fast Fourier transform to reveal the fractal behavior of ...
Nan, Gao, Yuchao, Zhang, Changqing, Xie
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We introduce circular Fibonacci gratings (CFGs) that combine the concept of circular gratings and Fibonacci structures. Theoretical analysis shows that the diffraction pattern of CFGs is composed of fractal distributions of impulse rings. Numerical simulations are performed with two-dimensional fast Fourier transform to reveal the fractal behavior of ...
Nan, Gao, Yuchao, Zhang, Changqing, Xie
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Advances in Applied Clifford Algebras, 2013
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Akyiğit, Mahmut +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyiğit, Mahmut +2 more
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Advances in Applied Clifford Algebras, 2014
The authors of this paper study the generalization of the Fibonacci quaternions to Fibonacci-\(p\) quaternions. On the base are the numbers of Fibonacci \(F_n\) with the recurrence formula \(F_{n+1} = F_{n} + F_{n-1}\), \(n\geq 1\) with initial values \(F_0 =0\), \(F_1 = 1\), and the numbers of Lucas \(L_{n+1} = L_{n} +L_{n-1}\), \(n\geq 1\) with \(L_0
Yalcin, Feyza, TAŞCI, DURSUN
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The authors of this paper study the generalization of the Fibonacci quaternions to Fibonacci-\(p\) quaternions. On the base are the numbers of Fibonacci \(F_n\) with the recurrence formula \(F_{n+1} = F_{n} + F_{n-1}\), \(n\geq 1\) with initial values \(F_0 =0\), \(F_1 = 1\), and the numbers of Lucas \(L_{n+1} = L_{n} +L_{n-1}\), \(n\geq 1\) with \(L_0
Yalcin, Feyza, TAŞCI, DURSUN
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Fibonacci Generalized Quaternions
Advances in Applied Clifford Algebras, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Akyiğit, Mahmut +2 more
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2021
Journal of Automata, Languages and Combinatorics, Volume 26, Numbers 3-4, 2021, 255 ...
Kari, Lila +3 more
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Journal of Automata, Languages and Combinatorics, Volume 26, Numbers 3-4, 2021, 255 ...
Kari, Lila +3 more
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