Difference between revisions of "User:Regina"
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: 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]] | ||
| − | === | + | ===Sematics=== |
: <code>IMCOSH("a+bj")</code> calculates: | : <code>IMCOSH("a+bj")</code> calculates: | ||
: <math> \cosh{(a)}\, \cos{(b)}+ \sinh{(a)}\, \sin{(b)} \mbox{ j} </math> | : <math> \cosh{(a)}\, \cos{(b)}+ \sinh{(a)}\, \sin{(b)} \mbox{ j} </math> | ||
===Issues=== | ===Issues=== | ||
| − | The function is not implemented in versions before AOO 4.0 and before LibO 3. | + | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. |
==IMCOT== | ==IMCOT== | ||
| − | + | Returns the cotangent of a complex number | |
| − | Syntax | + | |
| − | + | ===Syntax=== | |
| − | + | <code>IMCOT( z )</code> | |
| − | Semantics: | + | : where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]] |
| − | + | ||
| − | + | ===Semantics=== | |
| + | : <code>IMCOT( z )</code> is equivalent to <code>IMDIV(IMCOS(z);IMSIN(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 | ||
| + | : <math> c =\sin(2a) \frac {1} {\cosh(2b)-\cos(2a)}</math> and <math>d=-\sinh(2b) \frac {1} {\cosh(2b)-\cos(2a)}</math> | ||
| + | |||
| + | ===Issues=== | ||
| + | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. | ||
| + | |||
==IMCSC== | ==IMCSC== | ||
Summary: Returns the cosecant of a complex number | Summary: Returns the cosecant of a complex number | ||
Revision as of 21:55, 30 May 2012
- native language
- German
- active in project
- de, qa, sc, graphics, LibreOffice
- user name
- regina
- special interest
- www.ooowiki.de
- rb.henschel@t-online.de
Contents
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 toIMDIV(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 -
and 
Issues
The function is not implemented in versions before AOO 4.0 and before LibO 3.7.
IMCSC
Summary: Returns the cosecant of a complex number Syntax: IMCSC(Complex N) Returns: Complex Constraints: None Semantics: Equivalent to the following: IMDIV(1;IMSIN(N)) See also IMSIN 6.8.20
IMCSCH
Summary: Returns the hyperbolic cosecant of a complex number Syntax: IMCSCH( Complex N ) Returns: Number Constraints: None Semantics: Computes the hyperbolic cosecant. This is equivalent to: IMDIV(1;IMSINH(N)) See also IMSINH, CSCH
IMSINH
Summary: Returns the hyperbolic sine of a complex number Syntax: IMSINH( Complex N ) Returns: Complex Constraints: None Semantics: If N=a+bi, then sinh(N)=sinh(a)cos(b)+cosh(a)sin(b)i.
IMSEC
Summary: Returns the secant of a complex number Syntax: IMSEC(Complex N) Returns: Complex Constraints: None Semantics: Equivalent to the following: IMDIV(1;IMCOS(N)) See also IMCOS 6.8.7
IMSECH
Summary: Returns the hyperbolic secant of a complex number Syntax: IMSECH( Complex N ) Returns: Number Constraints: None Semantics: Computes the hyperbolic secant. This is equivalent to: IMDIV(1;IMCOSH(N)) See also IMCOSH, SECH
IMTAN
Summary: Returns the tangent of a complex number Syntax: IMTAN(Complex N) Returns: Complex Constraints: None Semantics: Equivalent to the following (except N is computed only once): IMDIV(IMSIN(N);IMCOS(N)) See also IMSIN, IMCOS, IMCOT 6.8.25
