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(23 intermediate revisions by 4 users not shown) |
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| *[[ Z3 | << Z3 Home ]] | | *[[ Z3 | << Z3 Home ]] |
| *[[ Z%5E3_Language_Documentation | Z3 Language Documentation]] | | *[[ Z%5E3_Language_Documentation | Z3 Language Documentation]] |
| + | *[[ Z%5E3_Array_Manipulation_Member_Functions | Listing of Z3 Array Manipulation Member Functions]] |
| + | *[[ Z%5E3_Map_Reduce | Map Reduce]] |
| + | |
| + | |
| | | |
| | | |
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| | | |
| b=a.chunks(10) | | b=a.chunks(10) |
− | b.$$(SUM) | + | </br>b.$$(SUM) |
| | | |
| {| class="wikitable"|- | | {| class="wikitable"|- |
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| | | |
| | | |
− | *[[ Z3 | << Z3 Home ]]
| |
− | *[[ Z%5E3_Language_Documentation | Z3 Language Documentation]]
| |
− |
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− |
| |
− | A listing of the Array functions are given below:
| |
− |
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− |
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− | Function name Parameter
| |
− | {|border="1" cellpadding="5" cellspacing="0"
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− | |-
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− | ! Functions !! Parameters
| |
− | |-
| |
− | | $ ||
| |
− | |-
| |
− | | $$ ||
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− | |-
| |
− | | $$$ ||
| |
− | |-
| |
− | | $$F ||
| |
− | |-
| |
− | | $A ||
| |
− | |-
| |
− | | $C ||
| |
− | |-
| |
− | | $CELLS ||
| |
− | |-
| |
− | | $R ||
| |
− | |-
| |
− | | $X ||
| |
− | |-
| |
− | | $_ ||
| |
− | |-
| |
− | | $d ||
| |
− | |-
| |
− | | $diag ||
| |
− | |-
| |
− | | $dth ||
| |
− | |-
| |
− | | $x ||
| |
− | |-
| |
− | | X$ ||
| |
− | |-
| |
− | | ZJSON ||
| |
− | |-
| |
− | | __$ ||
| |
− | |-
| |
− | | ac ||
| |
− | |-
| |
− | | accumulate ||
| |
− | |-
| |
− | | accumulatewith ||
| |
− | |-
| |
− | | across ||
| |
− | |-
| |
− | | add ||
| |
− | |-
| |
− | | addcolumn ||
| |
− | |-
| |
− | | addrow ||
| |
− | |-
| |
− | | addsequence ||
| |
− | |-
| |
− | | adjoint ||
| |
− | |-
| |
− | | aggregate ||
| |
− | |-
| |
− | | any ||
| |
− | |-
| |
− | | appendfunction ||
| |
− | |-
| |
− | | ar ||
| |
− | |-
| |
− | | async ||
| |
− | |-
| |
− | | atindex ||
| |
− | |-
| |
− | | atnode ||
| |
− | |-
| |
− | | backward ||
| |
− | |-
| |
− | | bindcolumn ||
| |
− | |-
| |
− | | branch ||
| |
− | |-
| |
− | | branchvalues ||
| |
− | |-
| |
− | | c ||
| |
− | |-
| |
− | | calci ||
| |
− | |-
| |
− | | car ||
| |
− | |-
| |
− | | cartesianproduct ||
| |
− | |-
| |
− | | cdr ||
| |
− | |-
| |
− | | cell ||
| |
− | |-
| |
− | | cells ||
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− | |-
| |
− | | checktype ||
| |
− | |-
| |
− | | chunks ||
| |
− | |-
| |
− | | ci ||
| |
− | |-
| |
− | | clean ||
| |
− | |-
| |
− | | clear ||
| |
− | |-
| |
− | | clearcopy ||
| |
− | |-
| |
− | | clearrepeats ||
| |
− | |-
| |
− | | clone ||
| |
− | |-
| |
− | | colconcat ||
| |
− | |-
| |
− | | colcount ||
| |
− | |-
| |
− | | collect ||
| |
− | |-
| |
− | | collectasvector ||
| |
− | |-
| |
− | | collectwhile ||
| |
− | |-
| |
− | | collectwhileasvector ||
| |
− | |-
| |
− | | column ||
| |
− | |-
| |
− | | columnconcat ||
| |
− | |-
| |
− | | columns ||
| |
− | |-
| |
− | | compare ||
| |
− | |-
| |
− | | concatall ||
| |
− | |-
| |
− | | converge ||
| |
− | |-
| |
− | | copy ||
| |
− | |-
| |
− | | core ||
| |
− | |-
| |
− | | count ||
| |
− | |-
| |
− | | crosstab ||
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− | |-
| |
− | | cube ||
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− | |-
| |
− | | cumcolumn ||
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− | |-
| |
− | | cumcolumns ||
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− | |-
| |
− | | cumcolumnswith ||
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− | |-
| |
− | | cumcolumnwith ||
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− | |-
| |
− | | cumrow ||
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− | |-
| |
− | | cumrows ||
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− | |-
| |
− | | cumrowswith ||
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− | |-
| |
− | | cumrowwith ||
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− | |-
| |
− | | cumulate ||
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− | |-
| |
− | | data ||
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− | |-
| |
− | | dc ||
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− | |-
| |
− | | deal ||
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− | |-
| |
− | | deepcopy ||
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− | |-
| |
− | | deletecolumn ||
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− | |-
| |
− | | deleterow ||
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− | |-
| |
− | | det ||
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− | |-
| |
− | | determinant ||
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− | |-
| |
− | | dim ||
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− | |-
| |
− | | div ||
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− | |-
| |
− | | divide ||
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− | |-
| |
− | | dr ||
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− | |-
| |
− | | drop ||
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− | |-
| |
− | | dropwhile ||
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− | |-
| |
− | | dropwhileasvector ||
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− | |-
| |
− | | eighteenth ||
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− | |-
| |
− | | eighth ||
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− | |-
| |
− | | eleventh ||
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− | |-
| |
− | | equal ||
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− | |-
| |
− | | equalvalues ||
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− | |-
| |
− | | eval ||
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− | |-
| |
− | | except ||
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− | |-
| |
− | | exec ||
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− | |-
| |
− | | explode ||
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− | |-
| |
− | | extract ||
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− | |-
| |
− | | few ||
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− | |-
| |
− | | fifteenth ||
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− | |-
| |
− | | fifth ||
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− | |-
| |
− | | fillwith ||
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− | |-
| |
− | | filtermatches ||
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− | |-
| |
− | | filteroncolumn ||
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− | |-
| |
− | | filteroncondition ||
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− | |-
| |
− | | filteronrow ||
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− | |-
| |
− | | findcellref ||
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− | |-
| |
− | | first ||
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− | |-
| |
− | | firstelement ||
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− | |-
| |
− | | firsthalf ||
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− | |-
| |
− | | fixat ||
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− | |-
| |
− | | fjoin ||
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− | |-
| |
− | | flatten ||
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− | |-
| |
− | | flip ||
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− | |-
| |
− | | flipparts ||
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− | |-
| |
− | | fold ||
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− | |-
| |
− | | foldl ||
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− | |-
| |
− | | foldr ||
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− | |-
| |
− | | forward ||
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− | |-
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− | | fourteenth ||
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− | |-
| |
− | | fourth ||
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− | |-
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− | | fourths ||
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− | |-
| |
− | | funcjoin ||
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− | |-
| |
− | | gettype ||
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− | |-
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− | | graph ||
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− | |-
| |
− | | graphin ||
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− | |-
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− | | half ||
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− | |-
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− | | halves ||
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− | |-
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− | | hderef ||
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− | |-
| |
− | | head ||
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− | |-
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− | | headings ||
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− | |-
| |
− | | hindex ||
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− | |-
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− | | hundredth ||
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− | |-
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− | | i ||
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− | |-
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− | | ic ||
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− | |-
| |
− | | ids ||
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− | |-
| |
− | | implode ||
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− | |-
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− | | inc ||
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− | |-
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− | | include ||
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− | |-
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− | | indices ||
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− | |-
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− | | injoin ||
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− | |-
| |
− | | insert ||
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− | |-
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− | | insertcolumn ||
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− | |-
| |
− | | insertrow ||
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− | |-
| |
− | | inverse ||
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− | |-
| |
− | | ir ||
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− | |-
| |
− | | is ||
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− | |-
| |
− | | is1d ||
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− | |-
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− | | is2d ||
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− | |-
| |
− | | isFalse ||
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− | |-
| |
− | | isTrue ||
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− | |-
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− | | islikelytype ||
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− | |-
| |
− | | isnotnull ||
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− | |-
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− | | isnull ||
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− | |-
| |
− | | istype ||
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− | |-
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− | | j ||
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− | |-
| |
− | | joincolumnswith ||
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− | |-
| |
− | | joinrowswith ||
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− | |-
| |
− | | joinwith ||
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− | |-
| |
− | | jq ||
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− | |-
| |
− | | keep ||
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− | |-
| |
− | | last ||
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− | |-
| |
− | | lastelement ||
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− | |-
| |
− | | list ||
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− | |-
| |
− | | lookup ||
| |
− | |-
| |
− | | make ||
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− | |-
| |
− | | make1to2d ||
| |
− | |-
| |
− | | makecore ||
| |
− | |-
| |
− | | makekeyarray ||
| |
− | |-
| |
− | | maplist ||
| |
− | |-
| |
− | | mapper ||
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− | |-
| |
− | | maprow ||
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− | |-
| |
− | | mask ||
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− | |-
| |
− | | match ||
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− | |-
| |
− | | matchcolumn ||
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− | |-
| |
− | | matchindex ||
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− | |-
| |
− | | matchrow ||
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− | |-
| |
− | | matchvalue ||
| |
− | |-
| |
− | | merge ||
| |
− | |-
| |
− | | mergecolumns ||
| |
− | |-
| |
− | | mergeio ||
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− | |-
| |
− | | mergerows ||
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− | |-
| |
− | | mid ||
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− | |-
| |
− | | millionth ||
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− | |-
| |
− | | multiply ||
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− | |-
| |
− | | nicejoin ||
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− | |-
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− | | nineteenth ||
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− | |-
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− | | nineth ||
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− | |-
| |
− | | nodeindex ||
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− | |-
| |
− | | notinclude ||
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− | |-
| |
− | | notwithinlimits ||
| |
− | |-
| |
− | | nth ||
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− | |-
| |
− | | ntimes ||
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− | |-
| |
− | | nullifyobjects ||
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− | |-
| |
− | | numbers ||
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− | |-
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− | | o ||
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− | |-
| |
− | | objects ||
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− | |-
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− | | of ||
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− | |-
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− | | otherthan ||
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− | |-
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− | | pack ||
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− | |-
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− | | pad ||
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− | |-
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− | | pair ||
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− | |-
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− | | pairmatch ||
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− | |-
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− | | partitiononcondition ||
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− | |-
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− | | parts ||
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− | |-
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− | | pastefolds ||
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− | |-
| |
− | | pick ||
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− | |-
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− | | pieces ||
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− | |-
| |
− | | pip ||
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− | |-
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− | | pipall ||
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− | |-
| |
− | | pipallwithslice ||
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− | |-
| |
− | | plot ||
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− | |-
| |
− | | prefix ||
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− | |-
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− | | primitives ||
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− | |-
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− | | print ||
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− | |-
| |
− | | printf ||
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− | |-
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− | | r ||
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− | |-
| |
− | | rand ||
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− | |-
| |
− | | random ||
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− | |-
| |
− | | remove ||
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− | |-
| |
− | | removeByVal ||
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− | |-
| |
− | | removeindices ||
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− | |-
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− | | removewith ||
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− | |-
| |
− | | repeatntimes ||
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− | |-
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− | | replace ||
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− | |-
| |
− | | replicate ||
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− | |-
| |
− | | rest ||
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− | |-
| |
− | | result ||
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− | |-
| |
− | | reverselevel ||
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− | |-
| |
− | | reversepip ||
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− | |-
| |
− | | reversesort ||
| |
− | |-
| |
− | | ri ||
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− | |-
| |
− | | rotate ||
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− | |-
| |
− | | rotatecolumns ||
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− | |-
| |
− | | rotaterows ||
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− | |-
| |
− | | row ||
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− | |-
| |
− | | rowconcat ||
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− | |-
| |
− | | rowcount ||
| |
− | |-
| |
− | | rowlengths ||
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− | |-
| |
− | | rowpush ||
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− | |-
| |
− | | rows ||
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− | |-
| |
− | | rslice ||
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− | |-
| |
− | | second ||
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− | |-
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− | | secondhalf ||
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− | |-
| |
− | | seq ||
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− | |-
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− | | set ||
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− | |-
| |
− | | setHeadings ||
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− | |-
| |
− | | setaxis ||
| |
− | |-
| |
− | | setcolumn ||
| |
− | |-
| |
− | | setrow ||
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− | |-
| |
− | | setunit ||
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− | |-
| |
− | | seventeenth ||
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− | |-
| |
− | | seventh ||
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− | |-
| |
− | | shiftlevel ||
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− | |-
| |
− | | shuffle ||
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− | |-
| |
− | | sixteenth ||
| |
− | |-
| |
− | | sixth ||
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− | |-
| |
− | | size ||
| |
− | |-
| |
− | | size2d ||
| |
− | |-
| |
− | | slices ||
| |
− | |-
| |
− | | slides ||
| |
− | |-
| |
− | | sortrecursively ||
| |
− | |-
| |
− | | sortwith ||
| |
− | |-
| |
− | | specialprint ||
| |
− | |-
| |
− | | spliteach ||
| |
− | |-
| |
− | | splitwhile ||
| |
− | |-
| |
− | | splitwhileasvector ||
| |
− | |-
| |
− | | stringlist ||
| |
− | |-
| |
− | | subtract ||
| |
− | |-
| |
− | | suchthat ||
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− | |-
| |
− | | suchthatasvector ||
| |
− | |-
| |
− | | suffix ||
| |
− | |-
| |
− | | t ||
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− | |-
| |
− | | table ||
| |
− | |-
| |
− | | tablelookup ||
| |
− | |-
| |
− | | tail ||
| |
− | |-
| |
− | | takewhile ||
| |
− | |-
| |
− | | takewhileasvector ||
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− | |-
| |
− | | tenth ||
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− | |-
| |
− | | third ||
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− | |-
| |
− | | thirds ||
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− | |-
| |
− | | thirteenth ||
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− | |-
| |
− | | thousandth ||
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− | |-
| |
− | | tofunctions ||
| |
− | |-
| |
− | | toobjectformat ||
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− | |-
| |
− | | totree ||
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− | |-
| |
− | | transpose ||
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− | |-
| |
− | | truefalse ||
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− | |-
| |
− | | twelfth ||
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− | |-
| |
− | | twentieth ||
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− | |-
| |
− | | twod ||
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− | |-
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− | | type ||
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− | |-
| |
− | | uncrosstab ||
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− | |-
| |
− | | unimplode ||
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− | |-
| |
− | | unimplodeleaf ||
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− | |-
| |
− | | unitsof ||
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− | |-
| |
− | | unwrapleaf ||
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− | |-
| |
− | | unzip ||
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− | |-
| |
− | | value ||
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− | |-
| |
− | | where ||
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− | |-
| |
− | | withinlimits ||
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− | |-
| |
− | | withouttail ||
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− | |-
| |
− | | x$ ||
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− | |-
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− | | xy ||
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− | |-
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− | | xypanel ||
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− | |-
| |
− | | z3 ||
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− | |-
| |
− | | zero ||
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− | |-
| |
− | | zip ||
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− | |-
| |
− | | zoompip ||
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− | |}
| |
| | | |
− | <pre>
| |
− | $
| |
− | $$
| |
− | $$$
| |
− | $$F
| |
− | $A
| |
− | $C
| |
− | $CELLS
| |
− | $R
| |
− | $X
| |
− | $_
| |
− | $d
| |
− | $diag
| |
− | $dth
| |
− | $x
| |
− | X$
| |
− | ZJSON
| |
− | __$
| |
− | ac
| |
− | accumulate
| |
− | accumulatewith
| |
− | across
| |
− | add
| |
− | addcolumn
| |
− | addrow
| |
− | addsequence
| |
− | adjoint
| |
− | aggregate
| |
− | any
| |
− | appendfunction
| |
− | ar
| |
− | async
| |
− | atindex
| |
− | atnode
| |
− | backward
| |
− | bindcolumn
| |
− | branch
| |
− | branchvalues
| |
− | c
| |
− | calci
| |
− | car
| |
− | cartesianproduct
| |
− | cdr
| |
− | cell
| |
− | cells
| |
− | checktype
| |
− | chunks
| |
− | ci
| |
− | clean
| |
− | clear
| |
− | clearcopy
| |
− | clearrepeats
| |
− | clone
| |
− | colconcat
| |
− | colcount
| |
− | collect
| |
− | collectasvector
| |
− | collectwhile
| |
− | collectwhileasvector
| |
− | column
| |
− | columnconcat
| |
− | columns
| |
− | compare
| |
− | concatall
| |
− | converge
| |
− | copy
| |
− | core
| |
− | count
| |
− | crosstab
| |
− | cube
| |
− | cumcolumn
| |
− | cumcolumns
| |
− | cumcolumnswith
| |
− | cumcolumnwith
| |
− | cumrow
| |
− | cumrows
| |
− | cumrowswith
| |
− | cumrowwith
| |
− | cumulate
| |
− | data
| |
− | dc
| |
− | deal
| |
− | deepcopy
| |
− | deletecolumn
| |
− | deleterow
| |
− | det
| |
− | determinant
| |
− | dim
| |
− | div
| |
− | divide
| |
− | dr
| |
− | drop
| |
− | dropwhile
| |
− | dropwhileasvector
| |
− | eighteenth
| |
− | eighth
| |
− | eleventh
| |
− | equal
| |
− | equalvalues
| |
− | eval
| |
− | except
| |
− | exec
| |
− | explode
| |
− | extract
| |
− | few
| |
− | fifteenth
| |
− | fifth
| |
− | fillwith
| |
− | filtermatches
| |
− | filteroncolumn
| |
− | filteroncondition
| |
− | filteronrow
| |
− | findcellref
| |
− | first
| |
− | firstelement
| |
− | firsthalf
| |
− | fixat
| |
− | fjoin
| |
− | flatten
| |
− | flip
| |
− | flipparts
| |
− | fold
| |
− | foldl
| |
− | foldr
| |
− | forward
| |
− | fourteenth
| |
− | fourth
| |
− | fourths
| |
− | funcjoin
| |
− | gettype
| |
− | graph
| |
− | graphin
| |
− | half
| |
− | halves
| |
− | hderef
| |
− | head
| |
− | headings
| |
− | hindex
| |
− | hundredth
| |
− | i
| |
− | ic
| |
− | ids
| |
− | implode
| |
− | inc
| |
− | include
| |
− | indices
| |
− | injoin
| |
− | insert
| |
− | insertcolumn
| |
− | insertrow
| |
− | inverse
| |
− | ir
| |
− | is
| |
− | is1d
| |
− | is2d
| |
− | isFalse
| |
− | isTrue
| |
− | islikelytype
| |
− | isnotnull
| |
− | isnull
| |
− | istype
| |
− | j
| |
− | joincolumnswith
| |
− | joinrowswith
| |
− | joinwith
| |
− | jq
| |
− | keep
| |
− | last
| |
− | lastelement
| |
− | list
| |
− | lookup
| |
− | make
| |
− | make1to2d
| |
− | makecore
| |
− | makekeyarray
| |
− | maplist
| |
− | mapper
| |
− | maprow
| |
− | mask
| |
− | match
| |
− | matchcolumn
| |
− | matchindex
| |
− | matchrow
| |
− | matchvalue
| |
− | merge
| |
− | mergecolumns
| |
− | mergeio
| |
− | mergerows
| |
− | mid
| |
− | millionth
| |
− | multiply
| |
− | nicejoin
| |
− | nineteenth
| |
− | nineth
| |
− | nodeindex
| |
− | notinclude
| |
− | notwithinlimits
| |
− | nth
| |
− | ntimes
| |
− | nullifyobjects
| |
− | numbers
| |
− | o
| |
− | objects
| |
− | of
| |
− | otherthan
| |
− | pack
| |
− | pad
| |
− | pair
| |
− | pairmatch
| |
− | partitiononcondition
| |
− | parts
| |
− | pastefolds
| |
− | pick
| |
− | pieces
| |
− | pip
| |
− | pipall
| |
− | pipallwithslice
| |
− | plot
| |
− | prefix
| |
− | primitives
| |
− | print
| |
− | printf
| |
− | r
| |
− | rand
| |
− | random
| |
− | remove
| |
− | removeByVal
| |
− | removeindices
| |
− | removewith
| |
− | repeatntimes
| |
− | replace
| |
− | replicate
| |
− | rest
| |
− | result
| |
− | reverselevel
| |
− | reversepip
| |
− | reversesort
| |
− | ri
| |
− | rotate
| |
− | rotatecolumns
| |
− | rotaterows
| |
− | row
| |
− | rowconcat
| |
− | rowcount
| |
− | rowlengths
| |
− | rowpush
| |
− | rows
| |
− | rslice
| |
− | second
| |
− | secondhalf
| |
− | seq
| |
− | set
| |
− | setHeadings
| |
− | setaxis
| |
− | setcolumn
| |
− | setrow
| |
− | setunit
| |
− | seventeenth
| |
− | seventh
| |
− | shiftlevel
| |
− | shuffle
| |
− | sixteenth
| |
− | sixth
| |
− | size
| |
− | size2d
| |
− | slices
| |
− | slides
| |
− | sortrecursively
| |
− | sortwith
| |
− | specialprint
| |
− | spliteach
| |
− | splitwhile
| |
− | splitwhileasvector
| |
− | stringlist
| |
− | subtract
| |
− | suchthat
| |
− | suchthatasvector
| |
− | suffix
| |
− | t
| |
− | table
| |
− | tablelookup
| |
− | tail
| |
− | takewhile
| |
− | takewhileasvector
| |
− | tenth
| |
− | third
| |
− | thirds
| |
− | thirteenth
| |
− | thousandth
| |
− | tofunctions
| |
− | toobjectformat
| |
− | totree
| |
− | transpose
| |
− | truefalse
| |
− | twelfth
| |
− | twentieth
| |
− | twod
| |
− | type
| |
− | uncrosstab
| |
− | unimplode
| |
− | unimplodeleaf
| |
− | unitsof
| |
− | unwrapleaf
| |
− | unzip
| |
− | value
| |
− | where
| |
− | withinlimits
| |
− | withouttail
| |
− | x$
| |
− | xy
| |
− | xypanel
| |
− | z3
| |
− | zero
| |
− | zip
| |
− | zoompip
| |
− | 㪭㭲
| |
− | </pre>
| |
| | | |
| | | |
| + | *[[ Z%5E3_Array_Manipulation_Member_Functions | Listing of Z3 Array Manipulation Member Functions]] |
| *[[ Z%5E3_Language_Documentation | Z3 Language Documentation]] | | *[[ Z%5E3_Language_Documentation | Z3 Language Documentation]] |
| *[[ Z3 | << Z3 Home ]] | | *[[ Z3 | << Z3 Home ]] |
Introduction to Array Manipulation
Arrays/Sets/Matrices are fundamental data structures in z^3. Manipulation of such data structures are often done using custom code in most languages. However, z^3 offers a ton of Array member functions that make it a breeze to handle and manipulate such data structures.
For example, take .chunks().
a=1..100;
This creates a list of 100 numbers. Now, let us make them into chunks of 10 each.
a.chunks(10)
gives
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10
|
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20
|
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30
|
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40
|
41 |
42 |
43 |
44 |
45 |
46 |
47 |
48 |
49 |
50
|
51 |
52 |
53 |
54 |
55 |
56 |
57 |
58 |
59 |
60
|
61 |
62 |
63 |
64 |
65 |
66 |
67 |
68 |
69 |
70
|
71 |
72 |
73 |
74 |
75 |
76 |
77 |
78 |
79 |
80
|
81 |
82 |
83 |
84 |
85 |
86 |
87 |
88 |
89 |
90
|
91 |
92 |
93 |
94 |
95 |
96 |
97 |
98 |
99 |
100
|
Simple, isn't it?
The result gives a 10x10 matrix filled with the sequence of numbers from 1 to 100.
Let us say we want to calculate the sum of each row in this 10x10 matrix. The $$ row wise mapping function comes to the rescue.
b=a.chunks(10)
b.$$(SUM)
55
|
155
|
255
|
355
|
455
|
555
|
655
|
755
|
855
|
955
|