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Google Sheets is a spreadsheet application and part of the free, web-based Google Docs Editors suite offered by Google. Google Sheets is available as a web application; a mobile app for: Android, iOS, and as a desktop application on Google's ChromeOS. The app is compatible with Microsoft Excel file formats. [5]
for integer k ≥ 1, and is sometimes called Gauss's multiplication formula, in honour of Carl Friedrich Gauss. The multiplication theorem for the gamma functions can be understood to be a special case, for the trivial Dirichlet character , of the Chowla–Selberg formula .
A spreadsheet's concatenation ("&") function can be used to assemble complex text strings in a single cell (in this example, XML code for an SVG "circle" element). This concatenation is a variation of the chaining of formulas, for which spreadsheets are commonly used. The ability to chain formulas together is what gives a spreadsheet its power.
Origin is primarily a GUI software with a spreadsheet front end. Unlike popular spreadsheets like Excel, Origin's worksheet is column oriented. Each column has associated attributes like name, units and other user definable labels. Instead of cell formula, Origin uses column formula for calculations.
The principle can be viewed as an example of the sieve method extensively used in number theory and is sometimes referred to as the sieve formula. [ 4 ] As finite probabilities are computed as counts relative to the cardinality of the probability space , the formulas for the principle of inclusion–exclusion remain valid when the cardinalities ...
The explicit formula for calculating the duplication matrix for a matrix is: D n T = ∑ i ≥ j u i j ( v e c T i j ) T {\displaystyle D_{n}^{T}=\sum \limits _{i\geq j}u_{ij}(\mathrm {vec} T_{ij})^{T}}
Comma-separated values (CSV) is a text file format that uses commas to separate values, and newlines to separate records. A CSV file stores tabular data (numbers and text) in plain text, where each line of the file typically represents one data record.
Then the duplicates will be listed, and must be manually merged. There will often be false positives; web.archive.org URLs, in particular, are a nuisance as they contain the original URLs, which show as duplicates. The optional part of Step 2 eliminates the archive URLs, but unfortunately the list of duplicates includes the archived pages.