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Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
A spreadsheet consists of a table of cells arranged into rows and columns and referred to by the X and Y locations. X locations, the columns, are normally represented by letters, "A," "B," "C," etc., while rows are normally represented by numbers, 1, 2, 3, etc. A single cell can be referred to by addressing its row and column, "C10".
The set M(n, R) (also denoted M n (R) [7]) of all square n-by-n matrices over R is a ring called matrix ring, isomorphic to the endomorphism ring of the left R-module R n. [58] If the ring R is commutative, that is, its multiplication is commutative, then the ring M(n, R) is also an associative algebra over R.
(Laplace expansion provides a formula for computing the , but their expression is not important here.) If the function is applied to any other column k of A, then the result is the determinant of the matrix obtained from A by replacing column j by a copy of column k, so the resulting determinant is 0 (the case of two equal columns).
Let K be the set C of all complex numbers, and let V be the set C C (R) of all continuous functions from the real line R to the complex plane C. Consider the vectors (functions) f and g defined by f(t) := e it and g(t) := e −it. (Here, e is the base of the natural logarithm, about 2.71828..., and i is the imaginary unit, a square root of −1.)
“Katabasis” by R.F. Kuang (Aug. 26) The author of “The Poppy War” and “Yellowface” returns with a dark academia fantasy described as Dante’s “Inferno” meets Susanna Clarke’s ...
The next day, she said she woke up feeling "very weak" like she couldn't walk. She'd had plans to travel to Las Vegas to film a commercial, and a family member drove her there from her home in L.A ...
Average mortgage rates are inching lower as of Thursday, November 14, 2024, a day after key inflation data showed a rise in consumer prices to 2.6% in October — in line with forecasts but a sign ...