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We prove that the Legendre coefficients of a given function coincide with the Fourier coefficients of a suitable periodic function associated with its Abel transform.
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To ensure the accuracy of calculation results, the size of the light source should be slightly larger than that of the repeated period of the structure, at the same time enough simulation times and the suitable boundaries (periodic boundaries in directions of x- and y-axis and perfectly matched layers in direction of z-axis) should be utilized.
Here we have developed a bootstrap approach suitable for periodic systems, and extended it to include uncertainty in predicted responses.
First of all, we introduce a new concept of impulsive propagator, corresponding to the linear impulsive evolution equation, and then we introduce a suitable T-periodic solution operator of (1.1).
Note that Definition 3.2 is accurately suitable for any periodic time scale in the sense of Definition 1.1, which implies that the almost periodic functions investigated in [13, 14, 16 18] are just some particular cases of Definition 3.1.
The property of shift-invariance is very suitable to extract periodic impulses, which are typical symptom of mechanical fault signal.
To solve this, FACT provides a suitable framework for periodic disturbance rejection in the cases where the fundamental frequencies of the disturbance are alterable.
The transmittance spectrum of a one-dimensional hybrid photonic crystal built from the suitable arrangement of periodic and quasiregular Rudin Shapiro heterolayers that include superconducting slabs is investigated.
We notice that the sine-cosine wavelet was constructed by sine and cosine functions, and it is more suitable to solve periodic solution problem.
The new method eliminates any use of external measuring devices for robot end-effector location measurements for robot calibration; thus it is suitable for a periodic robot re-calibration in a shop-floor environment.
The current methods of multigene transformations include transfer of large T-DNA or co-transformation of multiple vectors [ 35, 36], which can deliver multiple genes in a single attempt but are not suitable for the periodic introduction of new genes into the engineered sites.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com