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Thus the 're-subtracting' of 1 leaves a mantissa ending in '100000000000000' instead of '010111000110010', representing a value of '1.1111111111117289E-4' rounded by Excel to 15 significant digits: '1.11111111111173E-4'. Of course mathematical 1 + x − 1 = x, 'floating point math' is sometimes a little different, that is not to be blamed on ...
With version 5.0, included in Microsoft Office 4.2 and 4.3, Excel included Visual Basic for Applications (VBA), a programming language based on Visual Basic which adds the ability to automate tasks in Excel and to provide user-defined functions (UDF) for use in worksheets. VBA includes a fully featured integrated development environment (IDE).
VBA 6.3 was released after Office XP, VBA 6.4 followed Office 2003 and VBA 6.5 was released with Office 2007. Office 2010 includes VBA 7.0. There are no new features in VBA 7 for developers compared to VBA 6.5 except for 64-bit support. However, after VBA 6.5/Office 2007, Microsoft stopped licensing VBA for other applications.
Microsoft Word 4/5/6.0/95 DOC, DOT Document Yes Up to 3.6 [80] Microsoft Word 97–2003 DOC, DOT Document Yes Yes Microsoft Word 2007-2021 DOCX Document Yes Yes Microsoft Word for Mac Document From 4.1 [71] Word 1–5.1 Microsoft Word for Windows 2.0 DOC, DOT Document Yes Yes Microsoft Works: WPS, WKS, WDB Multiple Yes [77] [70]
A closed formula, also ground formula or sentence, is a formula in which there are no free occurrences of any variable. If A is a formula of a first-order language in which the variables v 1 , …, v n have free occurrences, then A preceded by ∀ v 1 ⋯ ∀ v n is a universal closure of A .
When in this form the formula is said to be in disjunctive normal form. But even though it is in this form, it is not necessarily minimized with respect to either the number of terms or the number of literals. In the following table, observe the peculiar numbering of the rows: (0, 1, 3, 2, 6, 7, 5, 4, 0).
It was created by Ray Ozzie during the early development of Lotus Notes. He borrowed the compiler and decompiler from the Lotus 1-2-3 spreadsheet, but unlike the spreadsheet language Formula Language was designed primarily for string and list processing, not numerical processing.
A molecular formula enumerates the number of atoms to reflect those in the molecule, so that the molecular formula for glucose is C 6 H 12 O 6 rather than the glucose empirical formula, which is CH 2 O. Except for the very simple substances, molecular chemical formulas generally lack needed structural information, and might even be ambiguous in ...