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The above is not limited to subtractions, try = 1 + 1.405*2^(-48) in one cell, Excel rounds the display to 1,00000000000000000000, and = 0.9 + 225179982494413×2^(-51) in another, same display [d] above, different rounding for value and display, violates one of the elementary requirements in Goldberg (1991) [8] who states:
The 10-bit format has a 5-bit mantissa, and the 11-bit format has a 6-bit mantissa. [8] [9] IEEE SA Working Group P3109 is currently working on a standard for 8-bit minifloats optimized for machine learning. The current draft defines not one format, but a family of 7 different formats, named "binary8pP", where "P" is a number from 1 to 7.
One can see an example of such collision on the right side when rendered in HTML (see the figure on the right). To avoid this, it is often desirable to insert a small positive horizontal margin (or a thin space) (on the left side of the first superscript character), or a negative margin (or a tiny backspace) before a subscript.
The most common superscript digits (1, 2, and 3) were included in ISO-8859-1 and were therefore carried over into those code points in the Latin-1 range of Unicode. The remainder were placed along with basic arithmetical symbols, and later some Latin subscripts, in a dedicated block at U+2070 to U+209F.
Better yet, add data-sort-type=number to the column header. Later editing by other editors will not break numerical sorting. A dash, of any kind, in a blank cell in one of the first 5 cells in a column breaks default numerical sorting of a column. A dash in front of a number does not break numerical sorting. Dashes are allowed anywhere in cells ...
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The old Yale format works exactly as described above, with three arrays; the new format combines ROW_INDEX and COL_INDEX into a single array and handles the diagonal of the matrix separately. [ 9 ] For logical adjacency matrices , the data array can be omitted, as the existence of an entry in the row array is sufficient to model a binary ...
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