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# Labeling Two-Dimensional Graphics

 Axes->True give a pair of axes GridLines->Automatic draw grid lines on the plot Frame->True put axes on a frame around the plot PlotLabel->"text" give an overall label for the plot

Ways to label two-dimensional plots.

Here is a plot, using the default Axes->True.
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Setting Frame->True generates a frame with axes, and removes tick marks from the ordinary axes.
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This includes grid lines, which are shown in light gray.
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 Axes->False draw no axes Axes->True draw both and axes Axes->{False,True} draw a axis but no axis AxesOrigin->Automatic choose the crossing point for the axes automatically AxesOrigin->{x,y} specify the crossing point AxesStyle->style specify the style for the axes AxesStyle->{xstyle,ystyle} specify individual styles for the axes AxesLabel->None give no axis labels AxesLabel->ylabel put a label on the axis AxesLabel->{xlabel,ylabel} put labels on both the and axes

Options for axes.

This makes the axes cross at the point , and puts a label on each axis.
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 Ticks->None draw no tick marks Ticks->Automatic place tick marks automatically Ticks->{xticks,yticks} specify tick marks for each axis

Settings for the Ticks option.

With the default setting Ticks, Mathematica creates a certain number of major and minor tick marks, and places them on axes at positions which yield the minimum number of decimal digits in the tick labels. In some cases, however, you may want to specify the positions and properties of tick marks explicitly. You will need to do this, for example, if you want to have tick marks at multiples of , or if you want to put a nonlinear scale on an axis.
 None draw no tick marks Automatic place tick marks automatically {x1,x2,...} draw tick marks at the specified positions {{x1,label1},{x2,label2},...} draw tick marks with the specified labels {{x1,label1,len1},...} draw tick marks with the specified scaled lengths {{x1,label1,{plen1,mlen1}},...} draw tick marks with the specified lengths in the positive and negative directions {{x1,label1,len1,style1},...} draw tick marks with the specified styles func a function to be applied to , to get the tick mark option

Tick mark options for each axis.

This gives tick marks at specified positions on the axis, and chooses the tick marks automatically on the axis.
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This adds tick marks with no labels at multiples of .
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Particularly when you want to create complicated tick mark specifications, it is often convenient to define a "tick mark function" which creates the appropriate tick mark specification given the minimum and maximum values on a particular axis.
This defines a function which gives a list of tick mark positions with a spacing of 1.
This uses the function to specify tick marks for the axis.
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 Frame->False draw no frame Frame->True draw a frame around the plot FrameStyle->style specify a style for the frame FrameStyle->{{left,right},{bottom,top}} specify styles for each edge of the frame FrameLabel->None give no frame labels FrameLabel->{{left,right},{bottom,top}} put labels on edges of the frame RotateLabel->False do not rotate text in labels FrameTicks->None draw no tick marks on frame edges FrameTicks->Automatic position tick marks automatically FrameTicks->{{left,right},{bottom,top}} specify tick marks for frame edges

Options for frame axes.

The Axes option allows you to draw a single pair of axes in a plot. Sometimes, however, you may instead want to show the scales for a plot on a frame, typically drawn around the whole plot. The option Frame allows you effectively to draw four axes, corresponding to the four edges of the frame around a plot.
This draws frame axes, and labels each of them.
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 GridLines->None draw no grid lines GridLines->Automatic position grid lines automatically GridLines->{xgrid,ygrid} specify grid lines in analogy with tick marks

Options for grid lines.

Grid lines in Mathematica work very much like tick marks. As with tick marks, you can specify explicit positions for grid lines. There is no label or length to specify for grid lines. However, you can specify a style.
This generates but not grid lines.
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