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The order of operations, that is, the order in which the operations in an expression are usually performed, results from a convention adopted throughout mathematics, science, technology and many computer programming languages. It is summarized as: [2] [5] Parentheses; Exponentiation; Multiplication and division; Addition and subtraction
Template documentation {{ Unicode chart Mathematical Alphanumeric Symbols }} provides a list of Unicode code points in the Mathematical Alphanumeric Symbols block. Usage
For simple inline formulas, the template {} and its associated templates are often preferred. The following comparison table shows that similar results can be achieved with the two methods. The following comparison table shows that similar results can be achieved with the two methods.
A backup of an Excel Spreadsheet Add-in (DLL) .xll: Adds custom functionality; written in C++/C, Fortran, etc. and compiled into a special dynamic-link library: Macro .xlm: A macro is created by the user or pre-installed with Excel. Template .xlt: A pre-formatted spreadsheet created by the user or by Microsoft Excel. Module .xlv
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For example, you might have a table displaying names, dates, or numerical data. By making the table sortable, you allow readers to click on the column header to sort by, for example, alphabetical order (A–Z or Z–A) for names, chronological order for dates, or numerical order for numbers (low to high or high to low).
An average order of σ(n), the sum of divisors of n, is nπ 2 / 6; An average order of φ(n), Euler's totient function of n, is 6n / π 2; An average order of r(n), the number of ways of expressing n as a sum of two squares, is π; The average order of representations of a natural number as a sum of three squares is 4πn / 3;
In number theory, a normal order of an arithmetic function is some simpler or better-understood function which "usually" takes the same or closely approximate values. Let f be a function on the natural numbers. We say that g is a normal order of f if for every ε > 0, the inequalities