Difference between revisions of "Documentation/How Tos/Calc: Complex Number functions"
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− | == | + | {{Documentation/CalcFunc ComplexNumberTOC |
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+ | |bookid=CalcFunctions | ||
+ | |booktitle=<div style="padding:8px; font-size:140%; font-weight:bold; background-color:#9BC0F5;">[[Documentation/Reference/Calc_functions|CALC FUNCTIONS]]</div> | ||
+ | |ShowParttitle=block | ||
+ | |parttitle=[[Documentation/How_Tos/Calc:_Complex_Number_functions|<div style="font-size:140%;">Complex Number Functions]] | ||
+ | |ShowPrevPart=block | ||
+ | |PrevPart= Documentation/How_Tos/Calc:_Arrays_functions | ||
+ | |ShowNextPart=block | ||
+ | |NextPart= Documentation/How_Tos/Calc:_Database_functions | ||
+ | |toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div> | ||
+ | }}__NOTOC__ | ||
− | 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 + | + | [[File:open.jpg]] |
+ | == <big>List of Calc Complex Number functions</big> == | ||
+ | |||
+ | 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. | ||
+ | |||
+ | 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" | ||
− | |[[Documentation/How_Tos/Calc: COMPLEX function|COMPLEX]] | + | |[[Documentation/How_Tos/Calc: COMPLEX function|'''COMPLEX''']] |
− | |Returns a complex number, given real and imaginary parts. | + | |Returns a complex number, given real and imaginary parts as numbers. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMABS function|IMABS]] | + | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMAGINARY function|IMAGINARY]] | + | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMARGUMENT function|IMARGUMENT]] | + | |[[Documentation/How_Tos/Calc: IMARGUMENT function|'''IMARGUMENT''']] |
− | | | + | |Returns the argument of a complex number. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMCONJUGATE function|IMCONJUGATE]] | + | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMCOS function|IMCOS]] | + | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMDIV function|IMDIV]] | + | |[[Documentation/How_Tos/Calc: IMCOSH function|'''IMCOSH''']] |
+ | |Returns the hyperbolic cosine of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[Documentation/How_Tos/Calc: IMCSC function|'''IMCSC''']] | ||
+ | |Returns the cosecant of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[Documentation/How_Tos/Calc: IMCSCH function|'''IMCSCH''']] | ||
+ | |Returns the hyperbolic cosecant of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[Documentation/How_Tos/Calc: IMCOT function|'''IMCOT''']] | ||
+ | |Returns the cotangent of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMEXP function|IMEXP]] | + | |[[Documentation/How_Tos/Calc: IMEXP function|'''IMEXP''']] |
− | | | + | |Returns <i>e</i> to the power of a complex number. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMLN function|IMLN]] | + | |[[Documentation/How_Tos/Calc: IMLN function|'''IMLN''']] |
− | | | + | |Returns the natural logarithm of a complex number. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMLOG10 function|IMLOG10]] | + | |[[Documentation/How_Tos/Calc: IMLOG10 function|'''IMLOG10''']] |
− | | | + | |Returns the base-10 logarithm of a complex number. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMLOG2 function|IMLOG2]] | + | |[[Documentation/How_Tos/Calc: IMLOG2 function|'''IMLOG2''']] |
− | | | + | |Returns the base-2 logarithm of a complex number. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMPOWER function|IMPOWER]] | + | |[[Documentation/How_Tos/Calc: IMPOWER function|'''IMPOWER''']] |
− | | | + | |Returns a complex number raised to a power. |
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMPRODUCT function|IMPRODUCT]] | + | |[[Documentation/How_Tos/Calc: IMPRODUCT function|'''IMPRODUCT''']] |
|Returns the product of complex numbers. | |Returns the product of complex numbers. | ||
|-valign="top" | |-valign="top" | ||
− | |[[Documentation/How_Tos/Calc: IMREAL function|IMREAL]] | + | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMSIN function|IMSIN]] | + | |[[Documentation/How_Tos/Calc: IMSEC function|'''IMSEC''']] |
+ | |Returns the secant of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[Documentation/How_Tos/Calc: IMSECH function|'''IMSECH''']] | ||
+ | |Returns the hyperbolic secant of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMSQRT function|IMSQRT]] | + | |[[Documentation/How_Tos/Calc: IMSINH function|'''IMSINH''']] |
+ | |Returns the hyperbolic sine of a complex number. | ||
+ | |||
+ | |-valign="top" | ||
+ | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMSUB function|IMSUB]] | + | |[[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" | ||
− | |[[Documentation/How_Tos/Calc: IMSUM function|IMSUM]] | + | |[[Documentation/How_Tos/Calc: IMSUM function|'''IMSUM''']] |
− | + | |Returns the sum of complex numbers. | |
+ | |||
+ | |-valign="top" | ||
+ | |[[Documentation/How_Tos/Calc: IMTAN function|'''IMTAN''']] | ||
+ | ||Returns the tangent of a complex number. | ||
|} | |} | ||
<br style="clear:both;" /> | <br style="clear:both;" /> | ||
<!-- why on earth is this necessary? --> | <!-- why on earth is this necessary? --> | ||
+ | <!-- To make sure the footer is at the very end of the page DiGro 2024-02-02 --> | ||
− | + | {{SeeAlso|EN| | |
− | + | * [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]], | |
− | + | * [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]] | |
− | + | }} | |
+ | [[Category: Documentation/Reference/Calc]] | ||
+ | [[Category: Documentation/Reference/Cal functions (Book)]] |
Latest revision as of 09:59, 2 February 2024
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