Author: luc
Date: Fri Jan 4 06:54:53 2008
New Revision: 608876
URL: http://svn.apache.org/viewvc?rev=608876&view=rev
Log:
fixed typos
Modified:
commons/proper/math/trunk/xdocs/userguide/analysis.xml
Modified: commons/proper/math/trunk/xdocs/userguide/analysis.xml
URL:
http://svn.apache.org/viewvc/commons/proper/math/trunk/xdocs/userguide/analysis.xml?rev=608876&r1=608875&r2=608876&view=diff
==============================================================================
--- commons/proper/math/trunk/xdocs/userguide/analysis.xml (original)
+++ commons/proper/math/trunk/xdocs/userguide/analysis.xml Fri Jan 4 06:54:53
2008
@@ -31,7 +31,7 @@
implementations for real-valued functions of one real variable.
</p>
<p>
- Possible future additions may include numerical differentation,
+ Possible future additions may include numerical differentiation,
integration and optimization.
</p>
</subsection>
@@ -129,7 +129,7 @@
</p>
<p>
The <code>SecantSolver</code> uses a variant of the well known secant
- algorithm. It may be a bit faster than the Brent solver for a class
+ algorithm. It may be a bit faster than the Brent solver for a class
of well-behaved functions.
</p>
<p>
@@ -160,7 +160,7 @@
The Absolute Accuracy is (estimated) maximal difference between
the computed root and the true root of the function. This is
what most people think of as "accuracy" intuitively. The
default
- value is choosen as a sane value for most real world problems,
+ value is chosen as a sane value for most real world problems,
for roots in the range from -100 to +100. For accurate
computation of roots near zero, in the range form -0.0001 to
+0.0001, the value may be decreased. For computing roots
@@ -182,7 +182,7 @@
absolute values of the numbers. This accuracy measurement is
better suited for numerical calculations with computers, due to
the way floating point numbers are represented. The default
- value is choosen so that algorithms will get a result even for
+ value is chosen so that algorithms will get a result even for
roots with large absolute values, even while it may be
impossible to reach the given absolute accuracy.
</td>
@@ -250,10 +250,10 @@
double y=function.evaluate(x);
System.out println("f("+x+")="+y);</source>
<p>
- A natural cubic spline is a function consisting of a polynominal of
+ A natural cubic spline is a function consisting of a polynomial of
third degree for each subinterval determined by the x-coordinates of
the
interpolated points. A function interpolating <code>N</code>
- value pairs consists of <code>N-1</code> polynominals. The function
+ value pairs consists of <code>N-1</code> polynomials. The function
is continuous, smooth and can be differentiated twice. The second
derivative is continuous but not smooth. The x values passed to the
interpolator must be ordered in ascending order. It is not valid to
