This phenomenon is known as autocorrelation (or serial correlation) and can sometimes be detected by plotting the model residuals versus time. In such a circumstance, the random errors in the model are often positively correlated over time, so that each random error is more likely to be similar to the previous random error that it would be if the random errors were independent of one another. Please note that if you revert this setting, in order to create an atomic variable you will need to either right click on your variable and manually convert to an Atomic Variable by going to 2-D Math - Convert To - Atomic Variable, or simply create an atomic variable by adding an atomic variable from the variables palette.One common way for the "independence" condition in a multiple linear regression model to fail is when the sample data have been collected over time and the regression model fails to effectively capture any time trends. Choose the Inserts non-atomic subscript option from the drop down list next to Underscore Entry If you would like to change the default behaviour for underscore entry back to the way it was in previous Maple releases, follow the these steps.Ĥ. To create an indexed subscript, use the key sequence Ctrl-Shift-underscore (Command-Shift-underscore on Mac OS X) or surround the subscript with square brackets.Ĭhanging the default behaviour for entering the underscore character To create an atomic subscript, type the base name followed by two underscores, followed by the subscript. To enter an underscore, simply type the underscore key on your keyboard This change has made it necessary to update some of the keyboard shortcuts when using 2-D math: In Maple 17, you simply need to enter an underscore as you would in 1-D mode. In previous versions of Maple, it was necessary to insert a backslash character before the underscore in order to make it appear in the expression. We have also made it easier to enter names that contain the underscore character in 2-D mode. The appearance is user-modifiable using Maple's style management tools or can be toggled on or off using the View - Atomic Variables menu item. ![]() Previously, such a variable would have a 1-D representation of something like `#msub(mi("a"),mi("b"))`.īy default, Maple will highlight atomic variables using a different color, making it easier to discriminate between index- and literal-style subscripts when examining a worksheet. Variables with literal subscripts are referred to as Atomic Variables.īy convention, anything following a double-underscore now represents a literal subscript in a variable name.įor example, a variable with the name a_b represented in Maple Input ("1-D") notation appears as 'a' with a subscript of 'b' in Standard Math ("2-D") notation, but the 'b' is not interpreted as an index of any kind. "Literal" subscripts are part of the variable name itself that are not interpreted as an index of any kind. "Index" subscripts are the typeset representation of a reference to an element of an array or vector, in which the subscript represents the particular element being referred to. Maple's mathematical typesetting supports two different meanings for subscripts. With Maple 17, we've introduced some new tools and conventions to make it easier to work with the underscore character as well as literal subscripts. Variable containing an underscore character
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