Difference between revisions of "Documentation/How Tos/Calc: Complex Number functions"

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==List of Calc Complex Number functions==
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{{Documentation/CalcFunc ComplexNumberTOC
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|bookid=CalcFunctions
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|booktitle=<div style="padding:8px; font-size:140%; font-weight:bold; background-color:#9BC0F5;">[[Documentation/Reference/Calc_functions|CALC FUNCTIONS]]</div>
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|parttitle=[[Documentation/How_Tos/Calc:_Complex_Number_functions|<div  style="font-size:140%;">Complex Number Functions]]
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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Complex numbers are a mathematical concept, and have a real and an imaginary part. In Calc, they are represented by text, for example as <i>a + bi</i> or <i>a + bj</i>. The following functions create or manipulate that text.
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[[File:open.jpg]]
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== <big>List of Calc Complex Number functions</big> ==
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Complex numbers are a mathematical concept, and have a real and an imaginary part. In Calc, they are represented by text, for example as <i>a + b</i>i or <i>a + b</i>j. The following functions create or manipulate that text.
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The representation of the numbers in the text can have up to 15 significant digits. Scientific style is automatically used if needed. The decimal delimiter is always a dot, local style of numbers is not possible inside the text. The text may not contain any blanks.
  
 
{| border="0" cellpadding="0" cellspacing="10" align="left"
 
{| border="0" cellpadding="0" cellspacing="10" align="left"
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: COMPLEX function|COMPLEX]]
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|[[Documentation/How_Tos/Calc: COMPLEX function|'''COMPLEX''']]
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|Returns a complex number, given real and imaginary parts.
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|Returns a complex number, given real and imaginary parts as numbers.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMABS function|IMABS]]
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|[[Documentation/How_Tos/Calc: IMABS function|'''IMABS''']]
 
|Returns the absolute value of a complex number.
 
|Returns the absolute value of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMAGINARY function|IMAGINARY]]
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|[[Documentation/How_Tos/Calc: IMAGINARY function|'''IMAGINARY''']]
 
|Returns the imaginary part of a complex number.
 
|Returns the imaginary part of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMARGUMENT function|IMARGUMENT]]
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|[[Documentation/How_Tos/Calc: IMARGUMENT function|'''IMARGUMENT''']]
 
|Returns the argument of a complex number.
 
|Returns the argument of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMCONJUGATE function|IMCONJUGATE]]
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|[[Documentation/How_Tos/Calc: IMCONJUGATE function|'''IMCONJUGATE''']]
 
|Returns the complex conjugate of a complex number.
 
|Returns the complex conjugate of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMCOS function|IMCOS]]
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|[[Documentation/How_Tos/Calc: IMCOS function|'''IMCOS''']]
 
|Returns the cosine of a complex number.
 
|Returns the cosine of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMDIV function|IMDIV]]
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|[[Documentation/How_Tos/Calc: IMCOSH function|'''IMCOSH''']]
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|Returns the hyperbolic cosine of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMCSC function|'''IMCSC''']]
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|Returns the cosecant of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMCSCH function|'''IMCSCH''']]
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|Returns the hyperbolic cosecant of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMCOT function|'''IMCOT''']]
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|Returns the cotangent of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMDIV function|'''IMDIV''']]
 
|Returns the result of dividing one complex number by another.
 
|Returns the result of dividing one complex number by another.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMEXP function|IMEXP]]
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|[[Documentation/How_Tos/Calc: IMEXP function|'''IMEXP''']]
 
|Returns <i>e</i> to the power of a complex number.
 
|Returns <i>e</i> to the power of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMLN function|IMLN]]
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|[[Documentation/How_Tos/Calc: IMLN function|'''IMLN''']]
 
|Returns the natural logarithm of a complex number.
 
|Returns the natural logarithm of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMLOG10 function|IMLOG10]]
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|[[Documentation/How_Tos/Calc: IMLOG10 function|'''IMLOG10''']]
 
|Returns the base-10 logarithm of a complex number.
 
|Returns the base-10 logarithm of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMLOG2 function|IMLOG2]]
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|[[Documentation/How_Tos/Calc: IMLOG2 function|'''IMLOG2''']]
 
|Returns the base-2 logarithm of a complex number.
 
|Returns the base-2 logarithm of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMPOWER function|IMPOWER]]
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|[[Documentation/How_Tos/Calc: IMPOWER function|'''IMPOWER''']]
 
|Returns a complex number raised to a power.
 
|Returns a complex number raised to a power.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMPRODUCT function|IMPRODUCT]]
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|[[Documentation/How_Tos/Calc: IMPRODUCT function|'''IMPRODUCT''']]
 
|Returns the product of complex numbers.
 
|Returns the product of complex numbers.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMREAL function|IMREAL]]
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|[[Documentation/How_Tos/Calc: IMREAL function|'''IMREAL''']]
 
|Returns the real part of a complex number.
 
|Returns the real part of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSIN function|IMSIN]]
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|[[Documentation/How_Tos/Calc: IMSEC function|'''IMSEC''']]
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|Returns the secant of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSECH function|'''IMSECH''']]
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|Returns the hyperbolic secant of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSIN function|'''IMSIN''']]
 
|Return the sine of a complex number.
 
|Return the sine of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSQRT function|IMSQRT]]
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|[[Documentation/How_Tos/Calc: IMSINH function|'''IMSINH''']]
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|Returns the hyperbolic sine of a complex number.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSQRT function|'''IMSQRT''']]
 
|Returns the square root of a complex number.
 
|Returns the square root of a complex number.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSUB function|IMSUB]]
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|[[Documentation/How_Tos/Calc: IMSUB function|'''IMSUB''']]
 
|Returns the difference between 2 complex numbers.
 
|Returns the difference between 2 complex numbers.
  
 
|-valign="top"
 
|-valign="top"
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|[[Documentation/How_Tos/Calc: IMSUM function|IMSUM]]
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|[[Documentation/How_Tos/Calc: IMSUM function|'''IMSUM''']]
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||Returns the sum of complex numbers.
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|Returns the sum of complex numbers.
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|-valign="top"
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|[[Documentation/How_Tos/Calc: IMTAN function|'''IMTAN''']]
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||Returns the tangent of a complex number.  
  
 
|}
 
|}
 
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==See also==
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{{SeeAlso|EN|
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* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]],
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'''[[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]'''
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]
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}}
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[[Category: Documentation/Reference/Calc]]
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[[Category: Documentation/Reference/Cal functions (Book)]]

Latest revision as of 09:59, 2 February 2024

Open.jpg

List of Calc Complex Number functions

Complex numbers are a mathematical concept, and have a real and an imaginary part. In Calc, they are represented by text, for example as a + bi or a + bj. The following functions create or manipulate that text.

The representation of the numbers in the text can have up to 15 significant digits. Scientific style is automatically used if needed. The decimal delimiter is always a dot, local style of numbers is not possible inside the text. The text may not contain any blanks.

COMPLEX Returns a complex number, given real and imaginary parts as numbers.
IMABS Returns the absolute value of a complex number.
IMAGINARY Returns the imaginary part of a complex number.
IMARGUMENT Returns the argument of a complex number.
IMCONJUGATE Returns the complex conjugate of a complex number.
IMCOS Returns the cosine of a complex number.
IMCOSH Returns the hyperbolic cosine of a complex number.
IMCSC Returns the cosecant of a complex number.
IMCSCH Returns the hyperbolic cosecant of a complex number.
IMCOT Returns the cotangent of a complex number.
IMDIV Returns the result of dividing one complex number by another.
IMEXP Returns e to the power of a complex number.
IMLN Returns the natural logarithm of a complex number.
IMLOG10 Returns the base-10 logarithm of a complex number.
IMLOG2 Returns the base-2 logarithm of a complex number.
IMPOWER Returns a complex number raised to a power.
IMPRODUCT Returns the product of complex numbers.
IMREAL Returns the real part of a complex number.
IMSEC Returns the secant of a complex number.
IMSECH Returns the hyperbolic secant of a complex number.
IMSIN Return the sine of a complex number.
IMSINH Returns the hyperbolic sine of a complex number.
IMSQRT Returns the square root of a complex number.
IMSUB Returns the difference between 2 complex numbers.
IMSUM Returns the sum of complex numbers.
IMTAN Returns the tangent of a complex number.



See Also
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