Difference between revisions of "User:Regina"
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===Semantics=== | ===Semantics=== | ||
<code>IMCSCH( z )</code> is equivalent to <code>IMDIV(1;IMSINH( z ))</code> | <code>IMCSCH( z )</code> is equivalent to <code>IMDIV(1;IMSINH( z ))</code> | ||
| − | + | To get better accuracy it is not implemented that way. With the notation <code>IMCOT("a+bj")="c+dj"</code> the used formulas are | |
| − | : real part <math> c = \frac{2\sinh(2a)\,\ | + | : real part <math> c = \frac{2\sinh(2a)\,\cos(b)}{\cosh(2a)-\cos(2b)}</math> |
| − | : imaginary part <math>d = | + | : imaginary part <math>d = \frac{-2\cosh(2a)\,\sin(b)}{\cosh(2a)-\cos(2b)}</math> |
| Line 148: | Line 148: | ||
===Semantics=== | ===Semantics=== | ||
| − | + | <code>IMSINH("a+bj")</code> calculates: | |
| + | : <math>\sinh{(a)}\, \cos{(b)}+ \cosh{(a)}\, \sin{(b)} \mbox{ j}</math> | ||
===Issues=== | ===Issues=== | ||
| Line 159: | Line 160: | ||
===Syntax=== | ===Syntax=== | ||
| − | IMSEC( z ) | + | <code>IMSEC( z )</code> |
: where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]] | : where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]] | ||
===Semantics=== | ===Semantics=== | ||
| − | + | <code>IMSEC( z )</code> is equivalent to IMDIV(1;IMCOS( z )) | |
| − | + | To get better accuracy it is not implemented that way. With the notation <code>IMCOT("a+bj")="c+dj"</code> the used formulas are | |
| + | : real part <math> c = \frac{2\cos(2a)\,\cosh(b)}{\cosh(2b)+\cos(2a)}</math> | ||
| + | : imaginary part <math>d = \frac{2\sin(2a)\,\sinh(b)}{\cosh(2b)+\cos(2a)}</math> | ||
===Issues=== | ===Issues=== | ||
Revision as of 17:24, 31 May 2012
- native language
- German
- active in project
- de, qa, sc, graphics, LibreOffice, Apache OpenOffice
- user name
- regina
- special interest
- www.ooowiki.de
- rb.henschel@t-online.de
ToDo
Working on functions sides
Functions listed alphabetically, Functions listed by category
ODFF and accuracy problems in statitistic functions
Treatment of new Excel 2010 functions
Planning Wiki-Pages
/MyDrafts new document on Precision and Accuracy
/MYDrafts2 new specification for print ranges
/MYDrafts3 TTEST
/MYDrafts4 TEX2WikiTest
/ComparisonWriterDrawPicture Comparison between Writer- and Draw-picture
Development
Currently: Adapt smoothing with splines to ODF1.2 norm
Sandbox
math tests
[[1]]
Test Wiki-markup here
<math>\sum_{k=1}^N k^2</math>
<math>\scriptstyle \sqrt {n-1}</math>
<math>\sqrt {n-1}</math>
<math> s_{X_1 - X_2}</math>
<math>1-P( -|z| \le Z \le |z|)</math>
<math>\textstyle \sum_{k=1}^N k^2</math>
<math>\sum_{k=1}^N k^2</math>
<math>\int_{1}^{3}\frac{e^3/x}{x^2}\, dx</math>
<math>\sum_{k=1}^N k^2</math>
<math>\frac{1}{N} \sum_{k=2}^N k^2</math>
\frac{1} {n} \sum_{i} {(x_i - \bar x)(y_i - \bar y)}</math>
dashboard
IMCOSH
Returns the hyperbolic cosine of a complex number.
Syntax
IMCOSH( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Sematics
IMCOSH("a+bj") calculates:
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMCOT
Returns the cotangent of a complex number
Syntax
IMCOT( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
IMCOT( z ) is equivalent to IMDIV(IMCOS(z);IMSIN(z))
To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are
- real part
- imaginary part
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMCSC
Returns the cosecant of a complex number.
Syntax
IMCSC( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
IMCSC( z ) is equivalent to IMDIV(1;IMSIN( z ))
To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are
- real part
- imaginary part
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMCSCH
Returns the hyperbolic cosecant of a complex number.
Syntax
IMCSCH( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
IMCSCH( z ) is equivalent to IMDIV(1;IMSINH( z ))
To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are
- real part
- imaginary part
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMSINH
Returns the hyperbolic sine of a complex number.
Syntax
IMSINH( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
IMSINH("a+bj") calculates:
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMSEC
Returns the secant of a complex number.
Syntax
IMSEC( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
IMSEC( z ) is equivalent to IMDIV(1;IMCOS( z ))
To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are
- real part
- imaginary part
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMSECH
Returns the hyperbolic secant of a complex number.
Syntax
IMSECH( z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
Computes the hyperbolic secant. This is equivalent to: IMDIV(1;IMCOSH(N))
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMTAN
Returns the tangent of a complex number.
Syntax
IMTAN( Z )
- where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions
Semantics
Equivalent to the following (except N is computed only once): IMDIV(IMSIN(N);IMCOS(N))
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
