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β≠0,α=0; The pair-wise element positions can be expressed as c i,j =β(a i +a j )=c j,i, which indicates that the redundancy of any virtual sensor position is no less than two.
α≠0,β=0; The pair-wise element positions can be expressed as c i,j =α(a i −a j )=−c j,i, which indicates that the FrDCA geometry is symmetrical with respect to the fixed zero-dot.
In a sense, such FrDCA generated by multi-frequencies operation has been utilized in [16, 17] to fill the missing co-array elements, thereby enabling the co-prime array to effectively utilize all of the offered DOFs. β≠0,α=0; The pair-wise element positions can be expressed as c i,j =β(a i +a j )=c j,i, which indicates that the redundancy of any virtual sensor position is no less than two.
Therefore, this vector will have 360 × 720 =259,200 column-wise elements.
Driving wise, the Element is a mixed bag.
In this paper, the behavior of laminated composites is investigated using several high order or layer-wise finite element calculations.
The layer-wise finite element is developed to calculate the strain energy release rates based on the virtual crack closure technique (VCCT).
Element-wise and inter-element artificial diffusion is added to the scheme along with a postprocessing procedure to deal with near-vacuum states that typically arise in the solution.
Step 5: Multiply the data matrix D (m, n) with the Scaling Matrix G (m, n) element-by-element wise to obtain GG={ D}_{Mtimes N }mathbf{o}kern0.49em{G}_{Mtimes N} (11).
T and.∗ denote the transpose and the element wise conjugation, respectively.
The superscripts T,∗, ‡ represent the transpose, transpose conjugate, and element wise conjugate.
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