Homogeneous material based acoustic concentrators and rotators with linear coordinate transformation
نویسندگان
چکیده
منابع مشابه
The Rotation of a Coordinate System as a Linear Transformation
and call the column vector c the representation of the vector x with respect to the basis X . Now, let V and W be vector spaces over F , let X = (x,x, . . . ,x) be a basis of V , let Y = (y,y, . . . , y) be a basis of W , and let T : V → W be a linear transformation. For any i with 1 ≤ i ≤ n we have Tx = ∑m j=1 y aji with some aji ∈ F . For an arbitrary vector x = V such that c = (c1, . . . , c...
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ژورنال
عنوان ژورنال: Scientific Reports
سال: 2021
ISSN: 2045-2322
DOI: 10.1038/s41598-021-91146-x