Difference between revisions of "User:Regina"
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===Sematics=== | ===Sematics=== | ||
− | + | <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> | ||
Line 93: | Line 93: | ||
===Semantics=== | ===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 | |
: real part <math> c = \frac {\sin(2a)} {\cosh(2b)-\cos(2a)}</math> | : real part <math> c = \frac {\sin(2a)} {\cosh(2b)-\cos(2a)}</math> | ||
: imaginary part <math>d= \frac {-\sinh(2b) } {\cosh(2b)-\cos(2a)}</math> | : imaginary part <math>d= \frac {-\sinh(2b) } {\cosh(2b)-\cos(2a)}</math> | ||
Line 105: | Line 105: | ||
==IMCSC== | ==IMCSC== | ||
− | Returns the cosecant of a complex number | + | Returns the cosecant of a complex number. |
===Syntax=== | ===Syntax=== | ||
Line 112: | Line 112: | ||
===Semantics=== | ===Semantics=== | ||
− | + | <code>IMCSC( z )</code> is equivalent to <code>IMDIV(1;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 | |
: real part <math> c = \frac{2\sin(a)\,\cosh(b)}{\cosh(2b)-\cos(2a)}</math> | : real part <math> c = \frac{2\sin(a)\,\cosh(b)}{\cosh(2b)-\cos(2a)}</math> | ||
− | : imaginary part <math>d = | + | : imaginary part <math>d = \frac{-2\cos(a)\,\sinh(b)}{\cosh(2b)-\cos(2a)}</math> |
===Issues=== | ===Issues=== | ||
Line 123: | Line 123: | ||
==IMCSCH== | ==IMCSCH== | ||
− | + | Returns the hyperbolic cosecant of a complex number. | |
− | Syntax | + | |
− | + | ===Syntax=== | |
− | + | <code>IMCSCH( z )</code> | |
− | Semantics | + | : where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]] |
− | + | ||
− | + | ===Semantics=== | |
+ | <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)\,\cosh(b)}{\cosh(2a)-\cos(2b)}</math> | ||
+ | : imaginary part <math>d = - \frac{2\cosh(2a)\,\sin(b)}{\cosh(2a)-\cos(2b)}</math> | ||
+ | |||
+ | |||
+ | ===Issues=== | ||
+ | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. | ||
+ | |||
==IMSINH== | ==IMSINH== | ||
− | + | Returns the hyperbolic sine of a complex number. | |
− | Syntax | + | |
− | + | ===Syntax=== | |
− | + | <code>IMSINH( z )</code> | |
− | Semantics: If N=a+bi, then sinh(N)=sinh(a)cos(b)+cosh(a)sin(b)i. | + | : where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]] |
+ | |||
+ | ===Semantics=== | ||
+ | : If N=a+bi, then sinh(N)=sinh(a)cos(b)+cosh(a)sin(b)i. | ||
+ | |||
+ | ===Issues=== | ||
+ | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. | ||
+ | |||
+ | |||
+ | |||
==IMSEC== | ==IMSEC== | ||
− | + | Returns the secant of a complex number. | |
− | Syntax | + | |
− | + | ===Syntax=== | |
− | + | IMSEC( z ) | |
− | Semantics | + | : where z is a complex number as described in [[Documentation/How_Tos/Calc:_Complex_Number_functions]] |
+ | |||
+ | ===Semantics=== | ||
+ | Equivalent to the following: | ||
IMDIV(1;IMCOS(N)) | IMDIV(1;IMCOS(N)) | ||
− | + | ||
+ | ===Issues=== | ||
+ | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. | ||
+ | |||
+ | |||
==IMSECH== | ==IMSECH== | ||
− | + | Returns the hyperbolic secant of a complex number. | |
− | Syntax | + | |
− | + | ===Syntax=== | |
− | + | IMSECH( z ) | |
− | Semantics | + | : 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)) | IMDIV(1;IMCOSH(N)) | ||
− | + | ===Issues=== | |
+ | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. | ||
+ | |||
==IMTAN== | ==IMTAN== | ||
− | + | Returns the tangent of a complex number. | |
− | Syntax | + | |
− | + | ===Syntax=== | |
− | + | IMTAN( Z ) | |
− | Semantics | + | : 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)) | IMDIV(IMSIN(N);IMCOS(N)) | ||
− | + | ===Issues=== | |
+ | The function is not implemented in versions before AOO 4.0 and before LibO 3.7. |
Revision as of 17:15, 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
- If N=a+bi, then sinh(N)=sinh(a)cos(b)+cosh(a)sin(b)i.
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
Equivalent to the following:
IMDIV(1;IMCOS(N))
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.