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To optimize switching process, the comprehensive network load index is deduced by using triangle module fusion operator.
The non-linear mathematical model of the gyro is deduced by using the nutation theory of gyroscopes.
Moreover, the bi-dimensional expression of the model is deduced by using bi-vectors instead of scalar parameters.
The local stiffness of the rotational spring is deduced by using fracture mechanics and strain energy arguments.
Moreover, an analytic solution is deduced by using the transformed field expansion method and the convergence is established for the power series solution.
A formula of element stiffness and mass matrices for the composite stiffened plates is deduced by using the first order shear deformation theory combined with the selecting numerical integral scheme, while that of global damping matrix is constructed by Raleigh mode damping model in conjunction with Adam's' strain energy method.
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New interesting conservation laws for the Foucault Pendulum-like motion are deduced by using simple differential and vectorial computations.
Closed form solutions are deduced by using the U-transformation technique which leads to the uncoupling of the governing equations.
The closed-form solutions of plane and shear stresses were deduced by using the shear lag model.
In this regard, the optimized outdoor air flow and the optimized design for heating system can be deduced by using particle swarm algorithm.
Prior to beam commissioning, phase-space distributions of extracted carbon beams from the synchrotron were deduced by using an empirical method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com