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 · TimesQ
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
- The class stzComplex
- The area's reference: Numeric & optimization
- The other methods in these examples: stzComplex.Conjugate · stzComplex.Conjugated · stzComplex.DividedBy · stzComplex.ImaginaryPart · stzComplex.Plus

