product of two matrices you use precisely this Ritz-Rydberg Law. You obtain the IK from the sum of IJ and JK
I posted the above into google search to get the below AI answer:
- Product of two matrices: A standard operation in linear algebra where the rows of the first matrix are multiplied by the columns of the second. The entry in row i and column j of the product matrix is the sum of the products of the corresponding entries from row i of the first matrix and column j of the second.
- Ritz-Rydberg Law: A principle in atomic physics that describes the relationship between the frequencies of spectral lines for chemical elements. It states that the frequency (or wavenumber) of a spectral line is equal to the sum or difference of the frequencies of two other spectral lines. This principle relates to quantum energy levels, not matrix multiplication.
- UK from the sum of IJ and JK: This notation seems to combine the indices from matrix multiplication with vector notation. In standard matrix multiplication, the element in row i, column j of the product of matrices A and B is the sum over an intermediate index k: .
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