Difference between revisions of "Common Contexts"
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(Added Context category) |
(Math this into a table. Probably need to make it separate sections, though.) |
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The main pre-defined contexts are the following: |
The main pre-defined contexts are the following: |
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| − | * <code>Numeric</code>: no points, vectors, matrices, complex numbers, or intervals are allowed. |
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| + | {| class="wikitable" |
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| − | * <code>Complex</code>: no points, vectors, matrices, or intervals are allowed. |
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| + | ! Name !! Description |
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| − | * <code>Point</code>: Nearly the same as the Vector Context below, but the angle bracket and <code>ijk</code> notation is not allowed, and vector operations on points are not defined. |
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| + | |||
| − | * <code>Vector</code>: <code>i</code>, <code>j</code>, and <code>k</code> are defined as coordinate unit vectors, and vector cross and dot produces are allowed. No complex numbers, matrices, or intervals are allowed. |
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| + | |- style="vertical-align:top" |
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| − | * <code>Vector2D</code>: same as Vector above, but <code>i</code> and <code>j</code> are defined as coordinate unit vectors in <math>{\bf R}^2</math>, and <code>k</code> is not defined. |
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| + | | style="padding:5px" | <code>Numeric</code> |
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| − | * <code>Matrix</code>: same as Vector above, but square brackets define matrices instead of points or intervals. |
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| + | | style="padding:5px" | No points, vectors, matrices, complex numbers, or intervals are allowed. |
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| − | * <code>Interval</code>: similar to Numeric context, but <code>(a,b)</code>, <code>(a,b]</code>, <code>[a,b)</code>, and <code>[a,b]</code> create real Intervals rather than lists or errors. Finite sets of reals are created using <code>{a,b,c}</code> (with as many or as few numbers are needed). |
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| + | |||
| − | * <code>Full</code>: For internal use. This context is used to seed the others. |
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| + | |- style="vertical-align:top" |
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| − | + | | style="padding:5px" | <code>Complex</code> |
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| − | + | | style="padding:5px" | No points, vectors, matrices, or intervals are allowed. |
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| − | + | ||
| − | + | |- style="vertical-align:top" |
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| + | | style="padding:5px" | <code>Point</code> |
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| + | | style="padding:5px" | Nearly the same as the <code>Vector</code> below, but the angle bracket and <code>ijk</code> notation is not allowed, and vector operations on points are not defined. |
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| + | |||
| + | |- style="vertical-align:top" |
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| + | | style="padding:5px" | <code>Vector</code> |
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| + | | style="padding:5px" | The constants <code>i</code>, <code>j</code>, and <code>k</code> are defined as coordinate unit vectors, and vector cross and dot products are allowed. No complex numbers, matrices, or intervals are allowed. |
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| + | |||
| + | |- style="vertical-align:top" |
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| + | | style="padding:5px" | <code>Vector2D</code> |
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| + | | style="padding:5px" | Same as <code>Vector</code> above, but <code>i</code> and <code>j</code> are defined as coordinate unit vectors in <math>{\bf R}^2</math>, and <code>k</code> is not defined. |
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| + | |||
| + | |- style="vertical-align:top" |
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| + | | style="padding:5px" | <code>Matrix</code> |
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| + | | style="padding:5px" | Same as <code>Vector</code> above, but square brackets define matrices instead of points or intervals. |
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| + | |||
| + | |- style="vertical-align:top" |
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| + | | style="padding:5px" | <code>Interval</code> |
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| + | | style="padding:5px" | Similar to <code>Numeric</code> context, but <code>(a,b)</code>, <code>(a,b]</code>, <code>[a,b)</code>, and <code>[a,b]</code> create real Intervals rather than lists or errors. Finite sets of reals are created using <code>{a,b,c}</code> (with as many or as few numbers are needed). |
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| + | |||
| + | |- style="vertical-align:top" |
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| + | | style="padding:5px" | <code>Full</code> |
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| + | | style="padding:5px" | This context is used to seed the others, and is only intended for internal use. Matrix, vector, point, intervals, and complex numbers all can be created in this context; <code>i</code> is the complex <math>i</math> equal to <math>\sqrt{-1}</code>. The variables are <code>x</code>, <code>y</code>, and <code>z</code>. |
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| + | |||
| + | |} |
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<br> |
<br> |
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Revision as of 10:46, 9 August 2012
The main pre-defined contexts are the following:
| Name | Description |
|---|---|
Numeric
|
No points, vectors, matrices, complex numbers, or intervals are allowed. |
Complex
|
No points, vectors, matrices, or intervals are allowed. |
Point
|
Nearly the same as the Vector below, but the angle bracket and ijk notation is not allowed, and vector operations on points are not defined.
|
Vector
|
The constants i, j, and k are defined as coordinate unit vectors, and vector cross and dot products are allowed. No complex numbers, matrices, or intervals are allowed.
|
Vector2D
|
Same as Vector above, but i and j are defined as coordinate unit vectors in [math]{\bf R}^2[/math], and k is not defined.
|
Matrix
|
Same as Vector above, but square brackets define matrices instead of points or intervals.
|
Interval
|
Similar to Numeric context, but (a,b), (a,b], [a,b), and [a,b] create real Intervals rather than lists or errors. Finite sets of reals are created using {a,b,c} (with as many or as few numbers are needed).
|
Full
|
This context is used to seed the others, and is only intended for internal use. Matrix, vector, point, intervals, and complex numbers all can be created in this context; i is the complex [math]i[/math] equal to <math>\sqrt{-1}. The variables are x, y, and z.
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