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A logical spreadsheet is a spreadsheet in which formulas take the form of logical constraints rather than function definitions.. In traditional spreadsheet systems, such as Excel, cells are partitioned into "directly specified" cells and "computed" cells and the formulas used to specify the values of computed cells are "functional", i.e. for every combination of values of the directly ...
SuperCalc 2, which featured a novelty: Split screen with formulas on one side, and graphs on the other [7] 1986: SuperCalc 4, [ 3 ] evaluated #2 on the spreadsheets market after Excel, [ 8 ] with introduction of automatic construction of macros [ 9 ]
LibreOffice Calc is the spreadsheet component of the LibreOffice software package. [6] [7]After forking from OpenOffice.org in 2010, LibreOffice Calc underwent a massive re-work of external reference handling to fix many defects in formula calculations involving external references, and to boost data caching performance, especially when referencing large data ranges.
The natural numbers 0 and 1 are trivial sum-product numbers for all , and all other sum-product numbers are nontrivial sum-product numbers. For example, the number 144 in base 10 is a sum-product number, because 1 + 4 + 4 = 9 {\displaystyle 1+4+4=9} , 1 × 4 × 4 = 16 {\displaystyle 1\times 4\times 4=16} , and 9 × 16 = 144 {\displaystyle 9 ...
Smartsheet – Online spreadsheet for project management, interactive Gantt, file sharing, integrated with Google Apps [8] Sourcetable [9] – AI spreadsheet that generates formulas, charts, SQL, and analyzes data. ThinkFree Online Calc – as part of the ThinkFree Office online office suite, using Java
The product of those two numbers would then be a semiprime. The following steps give the solution: S (Sue), P (Pete), and O (Otto) make tables of all products that can be formed from 2-splits of the sums in the range, i.e. from 5 to 100 (X > 1 and Y > X requires us to start at 5). For example, 11 can be 2-split into 2+9, 3+8, 4+7, and 5+6.
Example: Let 픽 be a finite field and take A = 픽. Then since 픽 is closed under addition and multiplication, A + A = AA = 픽, and so | A + A | = | AA | = | 픽 |. This pathological example extends to taking A to be any sub-field of the field in question. Qualitatively, the sum-product problem has been solved over finite fields:
The last two examples illustrate what happens if x is a rather small number. In the second from last example, x = 1.110111⋯111 × 2 −50 ; 15 bits altogether. The binary is replaced very crudely by a single power of 2 (in this example, 2 −49) and its decimal equivalent is used.