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algebra

Who acts: Algebra, maths, numbers, that, rules, we · What happens: be, use, stand, change, work, help · To what, where: part, letters, rules, n, algebra, us · Speech: someone speaks here

«algebra» in the school dictionary: its 2 meanings for a pupil and its 8 examples, every sentence parsed by Mova itself — its syntax tree, a dependency tree in the style of Universal Dependencies, and its pragmatics clause by clause. The word in the dictionary, with its sense in the lessons: algebra in the school dictionary.

Meaning 1

Algebra is the part of maths that uses letters and symbols, such as x or n, to stand for numbers that are unknown or that can change.

The tree, 27 words
nsubjcopdetcasenmodnsubjacl:relclobjccconjpunctcasefixedconjccconjpunctmarkparataxiscaseoblnsubjcopacl:relclccnsubjauxconjpunctrootAlgebraPROPNisAUXtheDETpartNOUNofADPmathsNOUNthatPRONusesVERBlettersNOUNandCCONJsymbolsNOUN,PUNCTsuchADJasADPxNOUNorCCONJnNOUN,PUNCTtoPARTstandVERBforADPnumbersNOUNthatPRONareAUXunknownADJorCCONJthatPRONcanAUXchangeVERB.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1AlgebraAlgebraPROPNNumber=Sing4 partnsubj
2isbeAUXMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin4 partcop
3thetheDETDefinite=Def PronType=Art4 partdet
4partpartNOUNNumber=Singrootroot
5ofofADP_6 mathscase
6mathsmathNOUNNumber=Plur4 partnmod
7thatthatPRONPronType=Rel8 usesnsubj
8usesuseVERBMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin6 mathsacl:relcl
9lettersletterNOUNNumber=Plur8 usesobj
10andandCCONJ_11 symbolscc
11symbolssymbolNOUNNumber=Plur9 lettersconj
12,,PUNCT_15 xpunct
13suchsuchADJDegree=Pos ExtPos=ADP15 xcase
14asasADP_13 suchfixed
15xxNOUNNumber=Sing9 lettersconj
16ororCCONJ_17 ncc
17nnNOUNNumber=Sing15 xconj
18,,PUNCT_20 standpunct
19totoPART_20 standmark
20standstandVERBMood=Imp VerbForm=Fin4 partparataxis
21forforADP_22 numberscase
22numbersnumberNOUNNumber=Plur20 standobl
23thatthatPRONPronType=Rel25 unknownnsubj
24arebeAUXMood=Ind Number=Plur Person=3 Tense=Pres VerbForm=Fin25 unknowncop
25unknownunknownADJDegree=Pos22 numbersacl:relcl
26ororCCONJ_29 changecc
27thatthatPRONPronType=Rel29 changensubj
28cancanAUXVerbForm=Fin29 changeaux
29changechangeVERBVerbForm=Inf25 unknownconj
30..PUNCT_4 partpunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1is apresentAlgebrathe partof mathstree rules
2usepresentmathsletters and symbols and x or nvn eat-39.1 «NP V NP»: agent=Agent letter=Patient
3standto-infinitivefor numbersvn admire-31.2 «NP V NP PP.attribute»: agent=Experiencer for number=Attribute
4ispresentnumbersunknown propertytree rules
5changecanthatvn dress-41.1.1-1-1 «NP V»: agent=Agent

One row per clause the reader finds. «not said here»: a role filled from the clause above. «roles by»: a VerbNet class and frame when one fits the verb, else the reader's rules on the tree.

Meaning 2

Algebra is also the rules for working with these letters in expressions, equations and formulas.

The tree, 15 words
nsubjcopadvmoddetmarkaclcasedetoblcaseoblpunctconjccconjpunctrootAlgebraPROPNisAUXalsoADVtheDETrulesNOUNforSCONJworkingVERBwithADPtheseDETlettersNOUNinADPexpressionsNOUN,PUNCTequationsNOUNandCCONJformulasNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1AlgebraAlgebraPROPNNumber=Sing5 rulesnsubj
2isbeAUXMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin5 rulescop
3alsoalsoADV_5 rulesadvmod
4thetheDETDefinite=Def PronType=Art5 rulesdet
5rulesruleNOUNNumber=Plurrootroot
6forforSCONJ_7 workingmark
7workingworkVERBVerbForm=Ger5 rulesacl
8withwithADP_10 letterscase
9thesethisDETNumber=Plur PronType=Dem10 lettersdet
10lettersletterNOUNNumber=Plur7 workingobl
11ininADP_12 expressionscase
12expressionsexpressionNOUNNumber=Plur7 workingobl
13,,PUNCT_14 equationspunct
14equationsequationNOUNNumber=Plur12 expressionsconj
15andandCCONJ_16 formulascc
16formulasformulaNOUNNumber=Plur12 expressionsconj
17..PUNCT_5 rulespunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1is apresentAlgebrathe rulestree rules
2workgerundthe rules not said herewith this letters; in expressions and equations and formulasvn employment-95.3 «NP V PP.theme»: agent=Agent in expression=Theme

Example 1

In algebra, we can use n to stand for any number.

caseoblpunctnsubjauxobjmarkxcompcasedetoblpunctrootInADPalgebraNOUN,PUNCTwePRONcanAUXuseVERBnNOUNtoPARTstandVERBforADPanyDETnumberNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1IninADP_2 algebracase
2algebraalgebraNOUNNumber=Sing6 useobl
3,,PUNCT_2 algebrapunct
4wewePRONCase=Nom Number=Plur Person=1 PronType=Prs6 usensubj
5cancanAUXVerbForm=Fin6 useaux
6useuseVERBVerbForm=Infrootroot
7nnNOUNNumber=Sing6 useobj
8totoPART_9 standmark
9standstandVERBVerbForm=Inf6 usexcomp
10forforADP_12 numbercase
11anyanyDETPronType=Ind12 numberdet
12numbernumberNOUNNumber=Sing9 standobl
13..PUNCT_6 usepunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1usecanwenalgebravn use-105.1 «NP V NP S_INF»: agent=Agent n=Theme clause=Eventuality
2standto-infinitivewe not said herefor any numbervn admire-31.2 «NP V NP PP.attribute»: agent=Experiencer for number=Attribute

Example 2

Algebra helps us solve problems like «I think of a number, add 5 and get 12».

The tree, 16 words
nsubjobjxcompobjmarkpunctnsubjacl:relclcasedetoblpunctconjobjccconjobjpunctpunctrootAlgebraPROPNhelpsVERBusPRONsolveVERBproblemsNOUNlikeSCONJ«PUNCTIPRONthinkVERBofADPaDETnumberNOUN,PUNCTaddVERB5NUMandCCONJgetVERB12NUM»PUNCT.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1AlgebraAlgebraPROPNNumber=Sing2 helpsnsubj
2helpshelpVERBMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Finrootroot
3uswePRONCase=Acc Number=Plur Person=1 PronType=Prs2 helpsobj
4solvesolveVERBVerbForm=Inf2 helpsxcomp
5problemsproblemNOUNNumber=Plur4 solveobj
6likelikeSCONJ_9 thinkmark
7««PUNCT_9 thinkpunct
8IIPRONCase=Nom Number=Sing Person=1 PronType=Prs9 thinknsubj
9thinkthinkVERBMood=Ind Number=Sing Person=1 Tense=Pres VerbForm=Fin5 problemsacl:relcl
10ofofADP_12 numbercase
11aaDETDefinite=Ind PronType=Art12 numberdet
12numbernumberNOUNNumber=Sing9 thinkobl
13,,PUNCT_14 addpunct
14addaddVERBVerbForm=Inf4 solveconj
1555NUMNumForm=Digit NumType=Card14 addobj
16andandCCONJ_17 getcc
17getgetVERBVerbForm=Inf14 addconj
181212NUMNumForm=Digit NumType=Card17 getobj
19»»PUNCT_17 getpunct
20..PUNCT_2 helpspunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1helppresentAlgebrausvn help-72.1-1-1 «NP V NP S_INF»: agent=Agent we=Beneficiary clause=Theme
2solveinfinitiveus not said hereproblemsvn discover-84 «NP V NP»: agent=Agent problem=Topic
3think speech: other in a quotepresentIproblems not said hereof a numbervn wish-62 «NP V NP»: agent=Pivot problem=Theme
4add speech: assert in a quoteinfinitiveus not said here5vn mix-22.1-2 «NP V NP»: agent=Agent 5=Patient
5get in a quoteinfinitiveus not said here12vn comprehend-87.2-1 «NP V NP»: agent=Experiencer 12=Stimulus

Example 3

If 2x = 10, algebra tells us x = 5.

marknummodcasecaseoblpunctobliobjobjcaseoblpunctrootIfSCONJ2NUMxSYM=SYM10NUM,PUNCTalgebraNOUNtellsVERBusPRONxSYM=SYM5NUM.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1IfifSCONJ_8 tellsmark
222NUMNumForm=Digit NumType=Card3 xnummod
3xxSYMExtPos=ADP7 algebracase
4==SYM_5 10case
51010NUMNumForm=Digit NumType=Card3 xobl
6,,PUNCT_3 xpunct
7algebraalgebraNOUNNumber=Sing8 tellsobl
8tellstellVERBMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Finrootroot
9uswePRONCase=Acc Number=Plur Person=1 PronType=Prs8 tellsiobj
10xxSYMExtPos=ADP8 tellsobj
11==SYM_12 5case
1255NUMNumForm=Digit NumType=Card10 xobl
13..PUNCT_8 tellspunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1tell speech: assertpresentusx algebravn transfer_mesg-37.1.1-1-1 «NP V NP-Dative NP»: agent=Agent we=Recipient x=Topic

Example 4

Our algebra homework was about simplifying expressions.

nmod:posscompoundnsubjauxmarkobjpunctrootOurPRONalgebraNOUNhomeworkNOUNwasAUXaboutSCONJsimplifyingVERBexpressionsNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1OurourPRONCase=Gen Number=Plur Person=1 Poss=Yes PronType=Prs3 homeworknmod:poss
2algebraalgebraNOUNNumber=Sing3 homeworkcompound
3homeworkhomeworkNOUNNumber=Sing6 simplifyingnsubj
4wasbeAUXMood=Ind Number=Sing Person=3 Tense=Past VerbForm=Fin6 simplifyingaux
5aboutaboutSCONJ_6 simplifyingmark
6simplifyingsimplifyVERBTense=Pres VerbForm=Partrootroot
7expressionsexpressionNOUNNumber=Plur6 simplifyingobj
8..PUNCT_6 simplifyingpunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1simplifypast · progressiveOur algebra homeworkexpressionstree rules

Example 5

The formula for the perimeter of a square is P = 4s; that's algebra.

The tree, 15 words
detnsubjcasedetnmodcasedetnmodcoppunctconjpunctdetcopconjpunctrootTheDETformulaNOUNforADPtheDETperimeterNOUNofADPaDETsquareNOUNisAUXPNOUN=SYM4sNOUN;PUNCTthatDET'sAUXalgebraNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1ThetheDETDefinite=Def PronType=Art2 formuladet
2formulaformulaNOUNNumber=Sing10 Pnsubj
3forforADP_5 perimetercase
4thetheDETDefinite=Def PronType=Art5 perimeterdet
5perimeterperimeterNOUNNumber=Sing2 formulanmod
6ofofADP_8 squarecase
7aaDETDefinite=Ind PronType=Art8 squaredet
8squaresquareNOUNNumber=Sing5 perimeternmod
9isbeAUXMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin10 Pcop
10PpNOUNNumber=Singrootroot
11==SYM_12 4spunct
124s4NOUNNumber=Ptan NumForm=Combi NumType=Card10 Pconj
13;;PUNCT_16 algebrapunct
14thatthatDETNumber=Sing PronType=Dem16 algebradet
15'sbeAUXMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin16 algebracop
16algebraalgebraNOUNNumber=Sing10 Pconj
17..PUNCT_10 Ppunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1is apresentthe formula for the perimeter of a squareP and 4s and that algebratree rules
2is apresentthe formula for the perimeter of a square not said herethat algebratree rules

Example 6

The word algebra comes from Arabic.

detcompoundnsubjcaseoblpunctrootTheDETwordNOUNalgebraNOUNcomesVERBfromADPArabicPROPN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1ThetheDETDefinite=Def PronType=Art3 algebradet
2wordwordNOUNNumber=Sing3 algebracompound
3algebraalgebraNOUNNumber=Sing4 comesnsubj
4comescomeVERBMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Finrootroot
5fromfromADP_6 Arabiccase
6ArabicArabicPROPNNumber=Sing4 comesobl
7..PUNCT_4 comespunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1comepresentthe word algebraArabicvn escape-51.1-1 «NP V PP.initial_location»: agent=Theme from arabic=Initial_Location

Example 7

My big sister says algebra is like a puzzle with letters.

nmod:possamodnsubjnsubjcopcasedetccompcasenmodpunctrootMyPRONbigADJsisterNOUNsaysVERBalgebraNOUNisAUXlikeADPaDETpuzzleNOUNwithADPlettersNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1MymyPRONCase=Gen Number=Sing Person=1 Poss=Yes PronType=Prs3 sisternmod:poss
2bigbigADJDegree=Pos3 sisteramod
3sistersisterNOUNNumber=Sing4 saysnsubj
4sayssayVERBMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Finrootroot
5algebraalgebraNOUNNumber=Sing9 puzzlensubj
6isbeAUXMood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin9 puzzlecop
7likelikeADP_9 puzzlecase
8aaDETDefinite=Ind PronType=Art9 puzzledet
9puzzlepuzzleNOUNNumber=Sing4 saysccomp
10withwithADP_11 letterscase
11lettersletterNOUNNumber=Plur9 puzzlenmod
12..PUNCT_4 sayspunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1say speech: assertpresentMy big sistervn say-37.7-1-1 «NP V that S»: agent=Agent
2ispresentalgebralike a puzzle; with letterstree rules

Example 8

Then he tried to do the sum by algebra, by simple and by quadratic equations, by trigonometry, by logarithms, and by conic sections.

The tree, 23 words
advmodnsubjmarkxcompdetobjcaseoblpunctcaseamodcccaseamodoblpunctcaseconjpunctcaseconjpunctcccaseamodoblpunctrootThenADVhePRONtriedVERBtoPARTdoVERBtheDETsumNOUNbyADPalgebraNOUN,PUNCTbyADPsimpleADJandCCONJbyADPquadraticADJequationsNOUN,PUNCTbyADPtrigonometryNOUN,PUNCTbyADPlogarithmsNOUN,PUNCTandCCONJbyADPconicADJsectionsNOUN.PUNCT
The words, one row each (CoNLL-U)
#wordlemmaUPOSfeaturesheadrelation
1ThenthenADVPronType=Dem3 triedadvmod
2hehePRONCase=Nom Gender=Masc Number=Sing Person=3 PronType=Prs3 triednsubj
3triedtryVERBMood=Ind Number=Sing Person=3 Tense=Past VerbForm=Finrootroot
4totoPART_5 domark
5dodoVERBVerbForm=Inf3 triedxcomp
6thetheDETDefinite=Def PronType=Art7 sumdet
7sumsumNOUNNumber=Sing5 doobj
8bybyADP_9 algebracase
9algebraalgebraNOUNNumber=Sing5 doobl
10,,PUNCT_16 equationspunct
11bybyADP_16 equationscase
12simplesimpleADJDegree=Pos16 equationsamod
13andandCCONJ_16 equationscc
14bybyADP_16 equationscase
15quadraticquadraticADJDegree=Pos16 equationsamod
16equationsequationNOUNNumber=Plur5 doobl
17,,PUNCT_19 trigonometrypunct
18bybyADP_19 trigonometrycase
19trigonometrytrigonometryNOUNNumber=Sing16 equationsconj
20,,PUNCT_22 logarithmspunct
21bybyADP_22 logarithmscase
22logarithmslogarithmNOUNNumber=Plur16 equationsconj
23,,PUNCT_27 sectionspunct
24andandCCONJ_27 sectionscc
25bybyADP_27 sectionscase
26conicconicADJDegree=Pos27 sectionsamod
27sectionssectionNOUNNumber=Plur3 triedobl
28..PUNCT_3 triedpunct
#verbtense, moodwhowhat, whomto whomwherewhenotherroles by
1trypasthethenby conic sectionsvn try-61.1 «NP V S_INF»: agent=Agent clause=Eventuality
2do not said to happento-infinitivehe not said herethe sumby algebra; by simple quadratic equations and trigonometry and logarithmsvn act-114-1 «NP V NP»: agent=Agent sum=Eventuality

Text: the school dictionary of Mova's schools (world/data/dictionary-schools/), written for Mova. Trees: Mova's own parse — the en model on the CPU, when the site is built — not checked by a teacher; they may be wrong. Frames: Mova's frames reader (prag), each meaning and example read on its own. Elamur Cosmic License.

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