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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 ...
Microsoft Excel for Mac 2011. 1985 Excel 1.0; 1988 Excel 1.5; 1989 Excel 2.2; 1990 Excel 3.0; 1992 Excel 4.0; 1993 Excel 5.0 (part of Office 4.x—Final Motorola 680x0 version [122] and first PowerPC version) 1998 Excel 8.0 (part of Office 98) 2000 Excel 9.0 (part of Office 2001) 2001 Excel 10.0 (part of Office v. X) 2004 Excel 11.0 (part of ...
Microsoft Office 1.5 for Mac was released in 1991 and included the updated Excel 3.0, the first application to support Apple's System 7 operating system. [175] Microsoft Office 3.0 for Mac was released in 1992 and included Word 5.0, Excel 4.0, PowerPoint 3.0 and Mail Client. Excel 4.0 was the first application to support new AppleScript. [175]
When personal computers were initially released in the 1970s and 1980s, they typically included a version of BASIC so that customers could write their own programs. . Microsoft's first products were BASIC compilers and interpreters, and the company distributed versions of BASIC with MS-DOS (versions 1.0 through 6.0) and developed follow-on products that offered more features and capabilities ...
[41] [42] For instance, the certainty of the Higgs boson particle's existence was based on the 5σ criterion, which corresponds to a p-value of about 1 in 3.5 million. [ 42 ] [ 43 ] In other fields of scientific research such as genome-wide association studies , significance levels as low as 5 × 10 −8 are not uncommon [ 44 ] [ 45 ] —as the ...
1985 – Windows 1.0 – provided GUI interface to MS-DOS. No overlapping windows (tiled instead). 1985 – Microsoft and IBM start work on OS/2 meant to eventually replace MS-DOS and Windows; 1986 – Apple threatens to sue Digital Research because their GUI desktop looked too much like Apple's Mac.
Codelco, a major producer in Chile, reported that in 2020 the company emitted 2.8 t CO 2-eq per ton (2.8 kg CO 2-eq per kg) of fine copper. [52] Greenhouse gas emissions primarily arise from electricity consumed by the company, especially when sourced from fossil fuels, and from engines required for copper extraction and refinement.
Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.