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Fixed some typos, minor edits. 

git-svn-id: https://svn.apache.org/repos/asf/jakarta/commons/proper/math/trunk@537703 13f79535-47bb-0310-9956-ffa450edef68
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Phil Steitz 2007-05-14 04:28:00 +00:00
parent 78727dd83f
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xdocs/userguide/geometry.xml
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@ -38,7 +38,7 @@
<a href="../apidocs/org/apache/commons/math/geometry/Vector3D.html"> <a href="../apidocs/org/apache/commons/math/geometry/Vector3D.html">
org.apache.commons.math.geometry.Vector3D</a> provides a simple vector org.apache.commons.math.geometry.Vector3D</a> provides a simple vector
type. One important feature is that instances of this class are guaranteed type. One important feature is that instances of this class are guaranteed
to be immutable, this greatly simplifies modelization of dynamical systems to be immutable, this greatly simplifies modelling dynamical systems
with changing states: once a vector has been computed, a reference to it with changing states: once a vector has been computed, a reference to it
is known to preserve its state as long as the reference itself is preserved. is known to preserve its state as long as the reference itself is preserved.
</p> </p>
@ -66,8 +66,8 @@
<p> <p>
Rotations can be represented by several different mathematical Rotations can be represented by several different mathematical
entities (matrices, axe and angle, Cardan or Euler angles, entities (matrices, axe and angle, Cardan or Euler angles,
quaternions). This class presents an higher level abstraction, more quaternions). This class presents a higher level abstraction, more
user-oriented and hiding this implementation details. Well, for the user-oriented and hiding implementation details. Well, for the
curious, we use quaternions for the internal representation. The user curious, we use quaternions for the internal representation. The user
can build a rotation from any of these representations, and any of can build a rotation from any of these representations, and any of
these representations can be retrieved from a <code>Rotation</code> these representations can be retrieved from a <code>Rotation</code>
@ -83,7 +83,7 @@
</p> </p>
<source>double[] angles = new Rotation(matrix, 1.0e-10).getAngles(RotationOrder.XYZ);</source> <source>double[] angles = new Rotation(matrix, 1.0e-10).getAngles(RotationOrder.XYZ);</source>
<p> <p>
Focus is oriented on what a rotation <em>do</em> rather than on its Focus is oriented on what a rotation <em>does</em> rather than on its
underlying representation. Once it has been built, and regardless of underlying representation. Once it has been built, and regardless of
its internal representation, a rotation is an <em>operator</em> which its internal representation, a rotation is an <em>operator</em> which
basically transforms three dimensional vectors into other three basically transforms three dimensional vectors into other three
@ -95,7 +95,7 @@
often consider the vectors are fixed (say the Earth direction for often consider the vectors are fixed (say the Earth direction for
example) and the rotation transforms the coordinates coordinates of example) and the rotation transforms the coordinates coordinates of
this vector in inertial frame into the coordinates of the same vector this vector in inertial frame into the coordinates of the same vector
in satellite frame. In this case, the rotation implicitely defines the in satellite frame. In this case, the rotation implicitly defines the
relation between the two frames (we have fixed vectors and moving frame). relation between the two frames (we have fixed vectors and moving frame).
Another example could be a telescope control application, where the Another example could be a telescope control application, where the
rotation would transform the sighting direction at rest into the desired rotation would transform the sighting direction at rest into the desired