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Reference · stzComplex

Conjugate()

An ACTIVE verb mutates this number and returns nothing; the PASSIVE ...ed form returns the [re, im] DATA and leaves it alone; the Q twin returns a new stzComplex so calls chain. The first version of this class had Conjugate() and Negated() both returning new objects from plain names, which breaks the rule that a plain method returns data and only a Q form returns a Softanza object.

The forms of this verb

Conjugate · Conjugated

Basic examples (1)

Softanza
oZ = new stzComplex(3, 4)
aC = oZ.Conjugated()
# Conjugated() returns a [re, im] pair
? isList(aC)
# ...with the imaginary part negated
? aC[2]
# ...and the original is UNCHANGED
? oZ.ImaginaryPart()
# ConjugatedQ() returns something chainable
? oZ.ConjugatedQ().Content()
# ...and STILL did not change the original
? oZ.ImaginaryPart()
# Conjugate() returns nothing
? isNull(oZ.Conjugate())
# ...and it DID change the original
? oZ.ImaginaryPart()
oA = new stzComplex(1, 2)
# Plus() returns data
? isList(oA.Plus([3,4]))
# ...the right data
? @@(oA.Plus([3,4]))
# PlusQ() returns a chainable object
? oA.PlusQ([3,4]).Content()
# TimesQ() chains as well
? oA.TimesQ(2).Content()
# DividedBy() returns data too
? isList(oA.DividedBy(2))
Output
1
-4
4
3-4i
4
1
-4
1
[ 4, 6 ]
4+6i
2+4i
1

run on 2026-10-02 04:23 inside the library at commit 0e72e2e2c; taken from numeric_eigenvectors_narrated.ring(opens in a new tab)

The extensions of this method

Each extension, and whether it exists for this method; an extension that exists combines with the others (FindSTCS).

Extension
Exists
What it adds · The names
Q
yes
does what the method does, then returns the object, so the call can be chained · ConjugateQ
QQ
no
chains on the next, more specific type of object (the Q ladder)
QQQ
no
chains on the most specific type of object (the Q ladder)
QRT
no
returns the result as an object of the requested type
CS
no
takes a case-sensitivity flag
ST
no
takes the position to start from (StartingAt)
IB
no
takes bounds that are included (IncludingBounds)
XT
no
the extended form: more parameters than the base method
XTT
no
yet another extension: a further extended form, after XT
Z
no
includes the position in what it returns
ZZ
no
returns positions as sections, [start, end]
W
no
selects by a condition
WF
no
selects by a condition, with the expressive keywords (@NextItem, @PreviousItem...)
D
no
takes a direction, forward or backward (Directional)
F
no
takes a function (the condition or the update is given as a function); the forms document also uses F for the future form, which defers the action
Many
no
works on a collection of items instead of one (the plural form)
Except
no
takes exceptions, what to leave out (the exceptional form)
U
no
returns the result without duplication

Every example is a test file of the library, run inside the library for this page; only those whose output kept every promise their file wrote are shown.

See also