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This has been followed by subsequent spreadsheets, such as Microsoft Excel, and complemented by specialized VLOOKUP and HLOOKUP functions to simplify lookup in a vertical or horizontal table. In Microsoft Excel the XLOOKUP function has been rolled out starting 28 August 2019.
Use of a user-defined function sq(x) in Microsoft Excel. The named variables x & y are identified in the Name Manager. The function sq is introduced using the Visual Basic editor supplied with Excel. Subroutine in Excel calculates the square of named column variable x read from the spreadsheet, and writes it into the named column variable y.
PlanMaker is largely similar to Microsoft Excel in function and workflow and uses the same file format .xlsx. The syntax of the formulas is identical, pivot tables are possible. [3] Furthermore it can import SQLite databases. [4] Macros and VBA scripts contained in .xlsm cannot be executed, but are retained when saving.
Cost–benefit analysis (CBA), sometimes also called benefit–cost analysis, is a systematic approach to estimating the strengths and weaknesses of alternatives.It is used to determine options which provide the best approach to achieving benefits while preserving savings in, for example, transactions, activities, and functional business requirements. [1]
During the age of sail, there were two primary counter measures to another power holding control of the sea: smuggling, and privateering.Smuggling helped to ensure that a country could continue trading (and obtaining food and other vital supplies) even when under blockade, while privateering allowed the weaker power to disrupt the stronger power's trade.
The cumulative distribution function of a random variable with regard to a probability distribution is defined as = (). The cumulative distribution function of any real-valued random variable has the properties: is non-decreasing;
Timelines are particularly useful for studying history, as they convey a sense of change over time. Wars and social movements are often shown as timelines. Timelines are also useful for biographies. Examples include: Timeline of the civil rights movement; Timeline of European exploration; Timeline of European imperialism
Likewise, if I is the set of injective modules over some given commutative ring, of limited cardinality, modulo isomorphism, then a partial order on I is: A ≤ B if there exists an injective linear map f : A → B. [11] Given any infinite cardinal κ, the modules in I that cannot be generated by fewer than κ elements form a filter.