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The Chicken Dance is an example of a line dance adopted by the Mod revival during the 1980s. [18] The music video for the 1990 Billy Ray Cyrus song "Achy Breaky Heart" has been credited for launching line dancing into the mainstream. [2] [19] [20] [21] In the 1990s, the hit Spanish dance song "Macarena" inspired a popular line dance. [22]
This change can be computed by substituting the "old" coordinates for their expressions in terms of the "new" coordinates. More precisely, if f(x) is the expression of the function in terms of the old coordinates, and if x = Ay is the change-of-base formula, then f(Ay) is the expression of the same function in terms of the new coordinates.
In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form + ′ + ″ + () = where a 0 (x), ..., a n (x) and b(x) are arbitrary differentiable functions that do not need to be linear, and y′, ..., y (n) are the successive derivatives of an unknown function y of ...
Key: band is to the left; for the triple and four-face-four, the first time through the dance is depicted at the top and the second time through is below it (and the third below that, etc), while for the triplet the first time in depicted on the left, the second to the right of that, etc; couples 1 and 4 are 1s, 2 and 5 are 2s, 3 and 6 are 3s.
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Transformations with reflection are represented by matrices with a determinant of −1. This allows the concept of rotation and reflection to be generalized to higher dimensions. In finite-dimensional spaces, the matrix representation (with respect to an orthonormal basis ) of an orthogonal transformation is an orthogonal matrix .
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