Example Complex sqrt 002

 

 

Description

The square root of a complex number are shown in this example. The first double shown is the real part of the result. The second number shown is the imaginary part of the result.

 

Details

(setq X (new Complex: 3.0 4.0)) Returns: #<Complex 123456>

The result of the sqrt function is:

(sqrt X) Returns: #c2.0+1.0i
(setq X (new Complex: -3.0 4.0)) Returns: #<Complex 234567>

The result of the sqrt function is:

(sqrt X) Returns: #c1.0+2.0i
(setq X (new Complex: 3.0 -4.0)) Returns: #<Complex 345678>

The result of the sqrt function is:

(sqrt X) Returns: #c1.0-2.0i
(setq X (new Complex: 0.0 4.0)) Returns: #<Complex 456789>

The result of the sqrt function is:

(sqrt X) Returns: #c1.414+1.414i

Notes and Hints

Be sure that the argument is an angle expressed in radians.

 

Related Examples

Here are examples of the sqrt function at work.

Complex sqrt 002 Number sqrt 001

 

Function Links

Here is the link to the current function used in this example.

sqrt

Here are a number of links to other related functions.

fact(#void) (sym)div(#void)

 

Argument Types

Here are the links to the data types of the arguments used in this example.

Number Integer

Here are a number of links to examples having similar argument types.

BitVector compare 018 BitVector findBlock 001 BitVector freeBlock 001 BitVector inside 007
BitVector isBitVector 001 BitVector isMember 008 BitVector isObject 012 BitVector length 013
BitVector member 008 BitVector ref 027 BitVector resize 010 BitVector setq 024
BitVector sizeof 019 BitVector vectorFill 007 Boolean bcompareEQ 001 Boolean bcompareGE 001
Boolean bcompareGT 001 Boolean bcompareLE 001 Boolean bcompareLT 001 Boolean bcompareNE 001
Boolean boolean 001 Boolean compare 009 Boolean isBoolean 001 Boolean sizeof 009
ByteVector isByteVector 001 ByteVector isObject 013 ByteVector sizeof 020 Character cadd 001
Character ccompareEQ 001 Character ccompareGE 001 Character ccompareGT 001 Character ccompareLE 001
Character ccompareLT 001 Character ccompareNE 001 Character cdiv 001 Character character 001
Character cmod 001 Character cmul 001 Character compare 010 Character csub 001
Character isCharacter 001 Character sizeof 010 Complex * 002 Complex / 002
Complex compare 021 Complex cos 002 Complex exp 002 Complex expt 002
Complex log 002 Complex log10 002 Complex log2 002 Complex logbase 002
Complex mod 002 Complex sin 002 Complex sqrt 002 Complex tan 002
Context globalBinding 001 CpxVector avg 002 CpxVector binaryInsert 008 CpxVector binarySearch 008
CpxVector compare 020 CpxVector compareEQ 020 CpxVector compareGE 020 CpxVector compareGT 020
CpxVector compareLE 020 CpxVector compareLT 020 CpxVector compareNE 020 Date compare 012
Date date 001 Date day 001 Date days360 001 Date getTickCount 001
Date hour 001 Date isType 014 Date julian 001 Date minute 001
Date month 001 Date now 001 Date second 001 Date setq 019
Date sizeof 012 Date time 001 Date time 002 Date today 001
Date year 001 Dictionary compare 004 Dictionary count 002 Dictionary delete 003
Dictionary delete 004 Dictionary insert 002 Dictionary isBound 002 Dictionary isDictionary 001
Dictionary isObject 004 Dictionary length 005 Dictionary member 002 Dictionary new 004
Dictionary ref 007 Dictionary ref 008 Dictionary ref 009 Dictionary refAttributes 002
Dictionary refValues 002 Dictionary resize 002 Dictionary setq 007 Dictionary setq 008
Dictionary sizeof 004 Dictionary sort 003 Directory compare 005 Directory count 003
Directory delete 005 Directory delete 006 Directory insert 003 Directory inside 003
Directory isBound 003 Directory isObject 005 Directory length 006 Directory new 005
Directory new 006 Directory ref 011 Directory ref 012 Directory refAttributes 003
Directory refValues 003 Directory resize 003 Directory setq 010 Directory sizeof 005
FltVector binaryInsert 004 FltVector compare 014 FltVector delete 009 FltVector insert 005
FltVector isFloatVector 001 FltVector isObject 007 FltVector length 008 FltVector ref 022
FltVector resize 006 FltVector setq 019 FltVector sizeof 014 FltVector uniqueInsert 004
FltVector vectorFill 003 Function compare 013 Function isType 015 Function sizeof 013
IntVector binaryInsert 005 IntVector compare 015 IntVector delete 010 IntVector insert 006
IntVector inside 005 IntVector isIntegerVector 001 IntVector isMember 005 IntVector isObject 008
IntVector length 009 IntVector member 005 IntVector ref 023 IntVector resize 007
IntVector setq 020 IntVector sizeof 015 IntVector uniqueInsert 005 IntVector vectorFill 004
Integer binaryNand 001 Integer binaryNor 001 Integer binaryNot 001 Integer binaryNxor 001
Integer bitwiseAnd 001 Integer bitwiseNand 001 Integer bitwiseNor 001 Integer bitwiseNot 001
Integer bitwiseNxor 001 Integer bitwiseOr 001 Integer bitwiseShiftLeft 001 Integer bitwiseShiftRight 001
Integer bitwiseXor 001 Integer fact 001 Integer gcd 001 Integer iadd 001
Integer icompareGE 001 Integer icompareGT 001 Integer icompareLE 001 Integer icompareLT 001
Integer icompareNE 001 Integer idiv 001 Integer imod 001 Integer imul 001
Integer integer 001 Integer isInteger 001 Integer isub 001 Integer lcm 001
Lambda balance 001 Lambda globalBinding 001 Lambda ref 017 List count 007
List count 008 List length 015 List sizeof 022 Matrix binaryInsert 004
Matrix binaryInsert 005 Matrix compare 007 Matrix count 005 Matrix delete 009
Matrix insert 005 Matrix inside 005 Matrix isMatrix 001 Matrix isMember 005
Matrix isNumberMatrix 001 Matrix isObject 007 Matrix length 008 Matrix makeGaussianMatrix 001
Matrix makeGramMatrix 001 Matrix matrixGaussianEliminate 001 Matrix matrixGaussianSubstitute 001 Matrix member 005
Matrix rank 001 Matrix ref 015 Matrix ref 016 Matrix resize 005
Matrix sizeof 007 Matrix uniqueInsert 004 Matrix vectorFill 002 NumMatrix binaryInsert 007
NumMatrix compare 023 NumMatrix count 009 NumMatrix delete 014 NumMatrix insert 009
NumMatrix inside 009 NumMatrix isMember 010 NumMatrix isNumberMatrix 001 NumMatrix isObject 014
NumMatrix length 017 NumMatrix makeGaussianMatrix 001 NumMatrix makeGramMatrix 001 NumMatrix matrixGaussianEliminate 001
NumMatrix matrixGaussianSubstitute 001 NumMatrix member 009 NumMatrix rank 002 NumMatrix ref 035
NumMatrix resize 011 NumMatrix sizeof 028 NumMatrix uniqueInsert 005 NumMatrix vectorFill 008
NumVector binaryInsert 006 NumVector compare 016 NumVector delete 011 NumVector insert 007
NumVector inside 006 NumVector isMember 006 NumVector isNumberVector 001 NumVector isObject 009
NumVector length 010 NumVector member 006 NumVector objectToNumVector 001 NumVector ref 024
NumVector resize 008 NumVector setq 021 NumVector sizeof 016 NumVector svmRegression 001
NumVector uniqueInsert 006 NumVector vectorBinaryInnerProduct 001 NumVector vectorBipolarInnerProduct 001 NumVector vectorCosineInnerProduct 001
NumVector vectorCubeInnerProduct 001 NumVector vectorExpInnerProduct 001 NumVector vectorFill 005 NumVector vectorInnerProduct 001
NumVector vectorLogInnerProduct 001 NumVector vectorQuartInnerProduct 001 NumVector vectorQuintInnerProduct 001 NumVector vectorSigmoidInnerProduct 001
NumVector vectorSineInnerProduct 001 NumVector vectorSquareInnerProduct 001 NumVector vectorTanInnerProduct 001 NumVector vectorTanhInnerProduct 001
Number * 001 Number + 001 Number - 001 Number / 001
Number abs 001 Number add1 001 Number addMethod 014 Number addi 001
Number asin 001 Number atan 001 Number avg 001 Number compare 011
Number compareEQ 011 Number compareGE 011 Number compareGT 011 Number compareLE 011
Number compareLT 011 Number compareNE 011 Number comparison 010 Number cos 001
Number cosh 001 Number deg 001 Number divi 001 Number exp 001
Number expt 001 Number fact 001 Number floor 001 Number fraction 001
Number isEqual 009 Number isEven 001 Number isExact 001 Number isIdentical 009
Number isInexact 001 Number isMoney 001 Number isNegative 001 Number isNull 001
Number isNumber 001 Number isOdd 001 Number isPositive 001 Number isType 013
Number isZero 001 Number kurtosis 001 Number log 001 Number log10 001
Number log2 001 Number logbase 001 Number max 001 Number median 001
Number min 001 Number mod 001 Number modi 001 Number muli 001
Number nadd 001 Number ncompareGE 001 Number ncompareGT 001 Number ncompareLE 001
Number ncompareLT 001 Number ndiv 001 Number nmod 001 Number nmul 001
Number nsub 001 Number number 001 Number pi 001 Number product 001
Number rad 001 Number random 001 Number randomize 001 Number range 001
Number ref 019 Number round 001 Number setq 018 Number sign 001
Number sin 001 Number sinh 001 Number sizeof 011 Number skew 001
Number sqrt 001 Number srandom 001 Number stdev 001 Number stdevp 001
Number sub1 001 Number subi 001 Number sumsqr 001 Number tan 001
Number tanh 001 Number type 013 Number var 001 Number varp 001
ObjVector compare 017 ObjVector delete 012 ObjVector insert 008 ObjVector isMember 007
ObjVector isObject 010 ObjVector isObjectVector 001 ObjVector length 011 ObjVector member 007
ObjVector ref 025 ObjVector resize 009 ObjVector setq 022 ObjVector sizeof 017
ObjVector uniqueInsert 007 ObjVector vectorFill 006 ObjectRepository delete 013 Pair compare 019
Pair compareEQ 019 Pair compareGE 019 Pair compareGT 019 Pair compareLE 019
Pair compareLT 019 Pair compareNE 019 Pair comparison 019 Pair count 006
Pair length 014 Pair sizeof 021 PcodeVector isObject 011 PcodeVector isPcodeVector 001
PcodeVector length 012 PcodeVector ref 026 PcodeVector setq 023 PcodeVector sizeof 018
ShortVector binaryInsert 006 ShortVector compare 016 ShortVector delete 011 ShortVector insert 007
ShortVector inside 006 ShortVector isMember 006 ShortVector isObject 009 ShortVector length 010
ShortVector member 006 ShortVector ref 024 ShortVector resize 008 ShortVector setq 021
ShortVector sizeof 016 ShortVector uniqueInsert 007 ShortVector vectorFill 005 String code 001
String compare 001 String compareEQ 001 String compareGE 001 String compareGT 001
String compareLE 001 String compareLT 001 String compareNE 001 String find 001
String find 002 String hashString 001 String isChar 001 String isCharAlphabetic 001
String isCharAlphanumeric 001 String isCharLowercase 001 String isCharName 001 String isCharNumeric 001
String isCharUppercase 001 String isCharWhitespace 001 String isEqual 001 String isEqual 002
String isObject 001 String isString 001 String isText 001 String isType 001
String isType 002 String isType 003 String left 001 String length 001
String length 002 String mid 001 String new 001 String parse 001
String ref 001 String ref 002 String replace 001 String rept 001
String right 001 String sizeof 001 String string 001 String string 002
String string 003 String stringCiEQ 001 String stringCiGE 001 String stringCiGT 001
String stringCiLE 001 String stringCiLT 001 String stringCiNE 001 String substitute 001
String substitute 002 String substring 001 String substring 002 String substringCiEQ 001
String substringCiGE 001 String substringCiGT 001 String substringCiLE 001 String substringCiLT 001
String substringCiNE 001 String text 001 String type 001 Structure apply 001
Structure binaryInsert 001 Structure binarySearch 001 Structure compareGE 003 Structure compareGT 003
Structure compareLE 003 Structure compareLT 003 Structure compareNE 003 Structure count 001
Structure defstruct 001 Structure delete 001 Structure insert 001 Structure inside 001
Structure isBound 001 Structure isObject 003 Structure length 004 Structure member 001
Structure new 003 Structure ref 004 Structure ref 006 Structure refAttributes 001
Structure refValues 001 Structure resize 001 Structure setq 004 Structure setq 005
Structure setq 006 Structure sizeof 003 Structure uniqueInsert 001 Structure uniqueInsert 002
Symbol compare 002 Symbol compareEQ 002 Symbol compareGE 002 Symbol compareGT 002
Symbol compareLE 002 Symbol compareLT 002 Symbol compareNE 002 Symbol hashString 002
Symbol isCharName 002 Symbol isCharNumeric 002 Symbol isObject 002 Symbol isSymbol 001
Symbol isType 004 Symbol length 003 Symbol new 002 Symbol sizeof 002
Symbol type 002 Vector binaryInsert 002 Vector binaryInsert 003 Vector compare 006
Vector count 004 Vector delete 007 Vector delete 008 Vector insert 004
Vector inside 004 Vector isMember 004 Vector isObject 006 Vector isVector 001
Vector length 007 Vector member 004 Vector objectToVector 001 Vector ref 013
Vector ref 014 Vector refAttributes 004 Vector refValues 004 Vector resize 004
Vector setBlock 001 Vector sizeof 006 Vector uniqueInsert 003 Vector vectorFill 001
Void compare 008 Void ref 017 Void sizeof 008 substringEQ 001
substringGE 001 substringGT 001 substringLE 001 substringLT 001
substringNE 001

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