摘要：Grover's quantum searching algorithm is most widely studied in the current quantum computation research, and has been implemented experimentally by NMR (Nuclear Magnetic Resonance) technique. In this article, we design arbitrary N-qubit NMR pulses program of Grover's algorithm based on the multiple-quantum operator algebra theory and demonstrate 2-qubit pulses program experimentally. The result also proves the validity of the multiple-quantum operator algebra theory.

摘要：According to the next-state equations of various ternary flip-flops(tri-flop),whichare based upon ternary modular algebra,various ternary flip-flops are implemented by usinguniversal-logic-modules,U_*** on it,ternary sequential circuits are implemented by usingarray of universal-logic-modules,U_hs.

摘要：Using certain models of twistor surfaces for fields of force and the mathematical relationships that lie among fields, lines, surfaces and flows of energy, it has been designed and developed a flight electromagnetic type system based on the synergic study of their electromagnetic field geodesics to generate vehicle levitation, suspension and movement without being in contact with the surface. The idea of such work is to obtain a new flight and impulse patent of an electromagnetic vehicle by principles of super-conduction and some laws of the current like Eddy currents and principles which are very similar to mechanics of sidereal objects like galaxies or stars under models of twistor surfaces. This vehicle will be controlled by one microchip that will be programmed by conscience operators algebra of electromagnetic type that leads to the flow of Eddy currents, the iso-rotations and suspension of the special geometrical characteristics vehicle, generating also on the vehicle structure certain “magnetic conscience” that provokes all movements like succeeding to the sidereal objects in the universe.

摘要：Let G be a non-abelian group and let l2(G) be a finite dimensional Hilbert space of all complex valued functions for which the elements of G form the (standard) orthonormal basis. In our paper we prove results concerning G-decorrelated decompositions of functions in l2(G). These G-decorrelated decompositions are obtained using the G-convolution either by the irreducible characters of the group G or by an orthogonal projection onto the matrix entries of the irreducible representations of the group G. Applications of these G-decorrelated decompositions are given to crossover designs in clinical trials, in particular the William’s 6×3?design with 3 treatments. In our example, the underlying group is the symmetric group S3.

摘要：基于离散事件动态系统理论,将列车发车作为基本事件,运用Max-Plus algebra方法建立列车运行图的状态动力学方程和列车晚点传播模型;设计列车次序可调整条件下晚点传播的计算流程及方法,研究状态矩阵的更新,使Max-Plus algebra能够适用于状态矩阵改变的迭代运算;最后综合评价列车发车次序调整、设置交路接续冗余时间及动车组交路调整3种策略对列车运行图鲁棒性的影响。案例计算结果表明,合理设置交路接续冗余时间、调整列车发车次序和调整交路能够有效消减列车晚点,提高列车运行图的鲁棒性。