,BRL ,AU?OR;Y ( ,NOR? ,AM]ICA #A ,GUID.E = ,TRANSCRIP;N ,US+ ! ,NEME? ,CODE )9 ,,UEB ,3TEXTS ,APPROV$ ,APRIL #BJAH ,:5 ,NEME? ,CODE IS TO 2 US$ = MA!MATICS & SCI;E1 ! ACTUAL MA? & TE*NICAL NOTA;N IS PRES5T$ 9 ,NEME? ,CODE OR ! ,NEME?-BAS$ ,*EMI/RY ,CODE1 Z APPLICABLE1 :ILE ! SURR.D+ TEXT IS PRES5T$ 9 ,,UEB4 ,,UEB SYMBOLS >E N US$ )9 ! SWIT* 9DICATORS = ,NEME? ,CODE4 .7,NO 3TRAC;NS >E TO 2 US$ 9 ,NEME? ,CODE4.' ,SWIT* ,9DICATORS = ,NEME? ,CODE .=_% ,OP5+ ,NEME? ,CODE 9DICATOR .=_: ,NEME? ,CODE T]M9ATOR .=,' ,S+LE-^W SWIT* 9DICATOR ,^! 9DICATORS %D 2 LI/$ ON ! ,SPECIAL ,SYMBOLS PAGE 9 BRL ORD]4 ,! ,NEME? ,CODE T]M9ATOR & S+LE-^W SWIT* #A 9DICATOR >E ,NEME? SYMBOLS4 A#A ,FOLL[+ ! DEF9I;N ( BO? ( ^! SYMBOLS1 9S]T ? PHRASE3 "<,NEME? ,CODE SYMBOL">4 ,BASIC ,GUID.E ON ,:5 TO ,SWIT* #A4 ,ANY MA!MATICAL EXPRES.N OR *EMICAL =MULA IS TRANSCRIB$ 9 ,NEME? ,CODE4 ,? 9CLUDES FRAG;T>Y EXPRES.NS1 "<"PS ( =MULAS1 9COMPLETE EQUA;NS1 & ! L"> 9CLUD+ ISOLAT$ SIGNS ( OP]A;N OR COMP>ISON4 "<,SEE #C;A 2L = EXCEP;NS4"> ,SLA% M1N+ P]1 OV]1 OR DIVID$ BY IS MA!MATICAL & IS "P ( A FRAC;N4 ,FRAC;NS >E TRANSCRIB$ 9 ,NEME? ,CODE4 --------------------------------------#B ,EXAMPLE3 ,MULTIPLICA;N IS ANO!R COMMUTATIVE OP]A;N 2C _% #3(5) _: IS ! SAME Z _% #5(3) _:4 #B4 ,ALL O!R TEXT1 9CLUD+ PUNCTUA;N T IS LOGICALLY ASSOCIAT$ ) SURR.D+ S5T;ES1 %D 2 D"O 9 ,,UEB4 #B "<,SEE #C;B 2L = EXCEP;NS"> A#B #C4 ,EXCEP;NS3 ,DESPITE ! ABV PR9CIPLES1 X IS N"E!.S DESIRABLE N TO OV]DO SWIT*+ J = ! SAKE ( A SIMPLE ITEM T IS EASILY R1D 9 EI CODE4 ,ON T BASIS1 AVOID SWIT*+ 9 ! FOLL[+ TWO CASES3 A4 ,FREE/&+1 UNMODIFI$ NUMB]S &_/OR LRS C 2 TRANSCRIB$ 9 ,,UEB4 ,IF A FREE/&+ NUMB] OR LR IS COMB9$ ) ANY?+ O!R ?AN AN ORD9AL1 AN 9T]NAL COMMA1 OR A PLURAL "1 X IS TRANSCRIB$ AC TO ,NEME? ,CODE4 ,EXAMPLES3 #EB4 ,F9D ! SUM ( ! NUMB]S 2T #A & #EJJ T >E N MULTIPLES ( #B OR #C4 ,Y MAY USE ! =MULA _% ,S .K ?N(N+1)/2# _: = ! SUM1 ;,S1 ( ! 9TEG]S #A TO ;N4 #DE4 ,H[ _M WAYS C Y H _% #50@C _: US+ AT L1/ #A QU>T]8 #C ;B4 ,DIGITAL "T "<#J3#JJ"> IS #C TRANSCRIB$ 9 ,,UEB UN.S ! "T IS 9VOLV$ 9 COMPUTA;N4 ,EXAMPLES3 ,! "T ( ! 3C]T IS #I3#JJ-#AB3#CJ4 ,:AT IS _% #2_3#45+1_3#10 _:8 ;C4 ,:5 A COMMA OR SEMICOLON O3URS 2T ITEMS T >E TO 2 TRANSCRIB$ 9 ,NEME? ,CODE1 EV5 IF !Y CD LOGICALLY 2 REG>D$ Z 2L;G+ TO ! S5T;E /RUCTURE1 ! COMMA OR SEMICOLON %D 2 TRANSCRIB$ 9 ,NEME? ,CODE4 ,LIKEWISE1 P>5!SES1 BRACKETS1 OR BRACES T 5CLOSE ONLY MAT]IAL T IS TO 2 TRANSCRIB$ 9 ,NEME? ,CODE MAY 2 TRANSCRIB$ Z "P ( T MAT]IAL EV5 IF !Y CD LOGICALLY 2 3SID]$ Z 2L;G+ TO ! L>G] S5T;E /RUCTURE4 #D4 ,TO AVOID USE ( SWIT* 9DICATORS :5 A S+LE ^W /&+ AL"O O3URS 2T TWO MA? EXPRES.NS1 A .7S+LE-^W SWIT* 9DICATOR.' "<#F1 #C"> MAY 2 US$ 9 ,NEME? ,CODE TO 9DICATE T ! #D FOLL[+ ^W " A#C IS 9 ,,UEB4 ,3TRAC;NS MAY 2 US$ 9 ! SUBSEQU5T ^W4 ,! S+LE-^W SWIT* 9DICATOR %D PREC$E ! ^W :E!R OR N X 3TA9S 3TRAC;NS4 ,! E6ECT ( ! 9DICATOR IS T]M9AT$ BY A SPACE4 ,O!RWISE1 NO 3TRAC;NS >E US$ 9 ,NEME? ,CODE4 ,SIMIL> TO ! CAPITAL 9DICATORS1 ! "O-^W SWIT* 9DICATOR IS 4REG>D$ = PURPOSES ( ! ,,UEB L[] SIGN RULE4 ,2F A 3SECUTIVE SEQU;E ( TWO OR M ^WS1 T]M9ATE ,NEME? ,CODE4 ,,UEB TYPE=M 9DICATORS MAY 2 US$ ON ^WS T >E PREC$$ BY ! S+LE-^W SWIT* 9DICATOR4 ^1,NOTE3 ,! DOTS #F1 #C1 PREVI\SLY A TRANSCRIB]'S NOTE SYMBOL1 IS N[ ! S+LE-^W SWIT* 9DICATOR1 & "!=E %D 2 LI/$ ON ! ,SPECIAL ,SYMBOLS PAGE1 EV5 ?\< X IS A ,NEME? ,CODE SYMBOL4 #E4 ,:5 FOLL[+ .7,GUID.E = ,TRANSCRIP;N ,US+ ! ,NEME? ,CODE )9 ,,UEB ,3TEXTS1.' ICONS T >E CR1T$ US+ ! ,,UEB TRANSCRIB]-DEF9$ %APE 9DICATOR "<,,UEB #AA4G4B"> MAY 2 US$ 9 #E EI ,,UEB OR ,NEME? 3TEXT )\T ! B#C 9S];N ( SWIT* 9DICATORS4 --------------------------------------#D #F4 ,A SWIT* F ,,UEB TO ,NEME? ,CODE T]M9ATES ! E6ECT ( A TYPE=M 9DICATOR4 ,NO ,,UEB TYPE=M T]M9ATOR IS REQUIR$4 ,? DOES N APPLY :5 SWIT*+ F ,NEME? TO ,,UEB4 "<,CAPITALIZA;N IS N A TYPE=M ATTRIBUTE4"> ,,UEB ,RULE = ,USE ( ,OP5+ & ,CLOS+ ,NEME? ,9DICATORS ,! OP5+ ,NEME? ,CODE 9DICATOR & ,NEME? ,CODE T]M9ATOR %D 2 US$ TO 9DICATE ! SWIT* 9 & \ ( ,NEME? ,CODE4 ,= 3V5I;E1 ! APPLICABLE SEC;N ( ! .7,RULES ( ,UNIFI$ ,5GLI% ,BRL #BJAC.' IS 9S]T$ "H4 ,! EXAMPLES PROVID$ "H H BE5 MODIFI$ Z P] ! GUIDEL9ES 9 ? DOCU;T4 ,9CLUD$ *ANGES >E3 KEEP+ ! OP5_/CLOSE ,NEME? 9DICATORS ON ! L9E ) ! EQUA;N IF ! 5TIRE EQUA;N & 9DICATORS W FIT ON ! L9E2 N L1V+ ,NEME? ,CODE = S+LE ^WS 2T MA!MATICAL EXPRES.NS3 #F A#D #AD4F ,NEME? ,CODE )9 ,,UEB TEXT #AD4F4A ,:5 TE*NICAL MAT]IAL IS TRANSCRIB$ AC TO ! PROVI.NS ( .7,! ,NEME? ,BRL ,CODE = ,MA!MATICS & ,SCI;E ,NOTA;N.' )9 ,,UEB TEXT1 ! FOLL[+ SEC;NS PROVIDE = SWIT*+ 2T ,,UEB & ,NEME? ,CODE4 #AD4F4B ,PLACE ! OP5+ ,NEME? ,CODE 9DICATOR FOLL[$ BY A SPACE 2F ! SEQU;E TO : X APPLIES4 ,XS E6ECT IS T]M9AT$ BY ! ,NEME? ,CODE T]M9ATOR PREC$$ BY A SPACE4 ^1,NOTE3 ,! SPACES REQUIR$ ) ! 9DICATOR & ! T]M9ATOR D N REPRES5T SPACES 9 PR9T4 --------------------------------------#E ,EXAMPLES3 ,! RESULT W 2 9 ! =M _% (AX+BY)(CX+DY), ,'": AC .K #12, BD .K -#10, ,'& AD+BC .K #7 _:4 ,HE SD1 8_% #4X+3Y _: IS ! NUM]ATOR40 #G #AD4F4C ,:5 ! ,NEME? ,CODE TEXT A#E IS 4PLAY$ ON "O OR M L9ES SEP>ATE F ! ,,UEB TEXT1 ! OP5+ ,NEME? ,CODE 9DICATOR & ! ,NEME? ,CODE T]M9ATOR MAY EA* 2 PLAC$ ON A L9E BY XF OR AT ! 5D ( ! PREVI\S L9E ( TEXT4 ,EXAMPLE3 .1,SOLU;N4 ,AG WE GR\P ! F/ TWO T]MS & ! LA/ TWO T]MS4 _% #4X^3"-12X^2"-X+3 .K #4X^2"(X-3)-(X-3) .K (X-3)(4X^2"-1) .K (X-3)(2X+1)(2X-1) _: ,! OP5+ 9DICATOR IS PLAC$ AT ! 5D ( ! TEXT L9E PREC$+ ! MA? EXPRES.N 9 PREF];E TO 2+ ON A L9E BY XF4 --------------------------------------#F ,ADDI;NAL ,GUIDEL9ES #A4 ,! TITLE PAGE & ANY SUPPLE;TAL TITLE PAGES ( A BOOK >E TRANSCRIB$ 9 ,,UEB4 ,NEME? ,CODE SYMBOLS >E N LI/$ ON ! ,SPECIAL ,SYMBOLS ,PAGE4 ,! #H ,TRANSCRIB]'S ,NOTES PAGE %D A#F C>RY ! FOLL[+ NOTE3 8,MA!MATICAL 3T5T IS TRANSCRIB$ AC TO .7,! ,NEME? ,BRL ,CODE = ,MA!MATICS & ,SCI;E ,NOTA;N1 #AIGB ,REVI.N1.' #BJJG-"<.7YE> ( LATE/ UPDATE">.' ,UPDATES 9CLUD+ ! .7,GUID.E = ,TRANSCRIP;N ,US+ ! ,NEME? ,CODE )9 ,,UEB ,3TEXTS40.' #B4 ,3SI/5CY %D 2 MA9TA9$ "?\T ! BOOK4 ,= SYMBOLS S* Z ! P]C5T SIGN1 DEGREE M>K1 PRIMES1 & M5;NS ( ,GREEK LRS1 :E!R 9 A MA? EXPRES.N OR FREE/&+1 ! TRANSCRIB] %D SWIT* TO ,NEME? ,CODE4 #C4 ,TITLES = FIGURES1 TABLES1 SEC;NS1 ETC4 " >E TRANSCRIB$ 9 ,,UEB4 ,? APPLIES TO NUMB]S RELAT$ TO ! FIGURE TITLE1 S* Z ,SEC;N #A4C4D #D4 ,:5 ^WS >E "P ( AN EQUA;N OR MA? EXPRES.N1 !Y >E Z M* A "P ( ! TE*NICAL NOTA;N Z >E ! LR V>IABLES1 NUMB]S1 SIGNS ( OP]A;N1 ETC4 ,! #I :OLE EXPRES.N IS PLAC$ 9SIDE ! B#F ,NEME? SWIT*ES ) NO 3TRAC;NS & IS SPAC$ Z DEF9$ 9 ! ,NEME? ,CODE4 --------------------------------------#G ,EXAMPLE3 ,"O ( ! MO/ OBVI\S F1TURES ( AN OBJECT 9 MO;N IS H[ FA/ X IS MOV+4 ,IF A C> TRAVELS #BJJ MET]S 9 #AJ SECONDS1 WE SAY XS AV]AGE SPE$ IS #BJ MET]S P] SECOND1 ! ^1.1AV]AGE ^1.1SPE$ 2+ ! 4T.E TRAVEL$ DIVID$ BY ! "T REQUIR$ TO COV] ! 4T.E3 _% ,AV]AGE SPE$ .K ?,DISTANCE/,ELAPSED TIME# _: ,! EQUA;N 9DICATES T ! UNIT = AV]AGE SPE$ IS ! UNIT = 4T.E DIVID$ BY ! UNIT = "T1 OR MET]S P] SECOND _% (;M_/;S) _: 9 ,,SI UNITS4 --------------------------------------#H #E4 ,A2REVIAT$ M1SURE;T UNITS " ADJAC5T TO RELAT$ NUMB]S TRANSCRIB$ 9 ,NEME? ,CODE >E "P ( ! TE*NICAL EXPRES.N & >E TRANSCRIB$ )9 ! ,NEME? SWIT* 9DICATORS4 #AJ A#H ,EXAMPLES3 ,IF ! BOX IS M ?AN _% ?1/4# _: \NCE ABV OR 2L ! DESIR$ WEI ID5TIFY+ GEOMETRIC %APES OR FIGURES IS TRANSCRIB$ 9 ,NEME? ,CODE & CAPITALIZ$ 9DIVIDUALLY IF NE$$4 " #G4 ,TABLES 3SI/+ 5TIRELY ( ^WS >E TRANSCRIB$ 9 ,,UEB4 ,:5 TABLE 5TRIES >E TE*NICAL MAT]IAL B ! R[ H1D+S >E ^WS1 ! :OLE TABLE IS 3SID]$ TE*NICAL MAT]IAL1 EXCLUD+ ! TABLE TITLE & COLUMN H1D+S4 ,! OP5+ ,NEME? #AA ,CODE 9DICATOR IS PLAC$ AT ! B#H M>G9 ( ! L9E FOLL[+ ! COLUMN SEP>A;N L9E ) ! F/ R[ H1D+ OR F/ 5TRY ON ! NEXT L9E4 ,! ,NEME? ,CODE T]M9ATOR FOLL[S ! LA/ L9E ( 5TRIES1 PLAC$ AT ! M>G91 FOLL[$ BY ! BOTTOM BOX L9E1 IF NE$$1 ON ! NEXT BRL L9E4 ,! S+LE-^W SWIT* 9DICATOR IS N REQUIR$ ON ! 9DIVIDUAL ^WS 9 ! R[ H1D+S1 & 3TRAC;NS >E N US$4 #AB ,EXAMPLE3 #I ,TABLE #BB ,,,! *EMICAL ELE;TS,' 7777777777777777777777777777777777777777 ,"N ( ,ATOMIC ,ATOMIC ELE;T ,SYMBOL NUMB] WEIE 9 ,NEME? ,CODE1 KEEP ,NEME? ,CODE 9 E6ECT = ! ID5TIFI]S TO AVOID EXCESSIVE SWIT*+1 EV5 ?\< ^! ID5TIFI]S >E N TE*NICALLY "P ( ! MA?4 #AC ,EXAMPLE3 #AJ _% ;A_4 ?2/5#+?5/2# .K = ;B_4 ?12/5#-?9/5# .K = ;C_4 ?14/5#-?8/9# .K = ;D_4 ?2/15#+?24/15# .K = _: #I4 ,9 G5]AL1 KEEP ! SWIT* 9DICATORS ON ! SAME L9E Z ! MA!MATICS TO : !Y APPLY ) ! FOLL[+ EXCEP;NS3 A4 ,Z %[N 9 ! EXAMPLE ABV1 ! OP5+ ,NEME? ,CODE 9DICATOR AT ! 2G9N+ ( A LI/ ( NUMB]$ OR LR$ ID5TIFI]S %D 2 PLAC$ BY XF ON ! L9E ABV ! F/ ITEM1 OR AT ! 5D ( ! L9E ( TEXT T PREC$ES ! LI/4 ,? 5SURES T ALL ID5TIFI]S 2G9 9 ! SAME CELL4 ,IF SPACE P]MITS1 ! ,NEME? ,CODE T]M9ATOR %D / 2 PLAC$ ON ! SAME L9E ) ! TEXT ": ,NEME? ,CODE 5DS4 ;B4 ,IF SPACE P]MITS1 AN OP5+ ,NEME? ,CODE 9DICATOR T PREC$ES A SPATIAL PROBLEM MAY 2 PLAC$ ON ! SAME L9E ) ! 5D ( ! TEXT ABV ! PROBLEM4 #AD ,! REQUIR$ BLANK L9E FOLL[S ! A#AJ OP5+ ,NEME? ,CODE 9DICATOR4 ,IF "! IS N ROOM ON ! L9E ) ! PREC$+ TEXT1 ! OP5+ ,NEME? ,CODE 9DICATOR IS PLAC$ 9 CELL #A ON A L9E BY XF & FOLL[$ BY ! REQUISITE BLANK L9E4 ,:5 ,NEME? ,CODE IS CLOS$ AF A SPATIAL PROBLEM1 ! ,NEME? ,CODE T]M9ATOR IS PLAC$ 9 CELL #A ON A L9E BY XF & IS PREC$$ BY ! REQUIR$ BLANK L9E ".D SPATIAL PROBLEMS >E REQUIR$ 9 ,NEME? ,CODE">4 -------------------------------------#AA ;C4 ,IF CODE SWIT*+ O3URS )9 A MA? PROBLEM & WD 9T]F]E ) ! ALIGN;T ( ! PROBLEM1 AN OP5+ ,NEME? ,CODE 9DICATOR %D 2 PLAC$ AT ! 5D ( ! L9E 2F ! MA? TO : X APPLIES4 ,IF "! IS N ROOM ON ! L9E1 ! 9DICATOR IS TR1T$ Z A RUNOV] TO T L9E4 "<.7,SEE ! EXAMPLE "U ,=MATT+ _?#F4">.' #AJ4 ,IF EX]CISE DIREC;NS 5D ) AN EXPRES.N 9 ,NEME? ,CODE & ! SUBSEQU5T MA? PROBLEM />TS ) ,NEME? ,CODE1 ,NEME? ,CODE MAY 2 LEFT #AE 9 E6ECT 2T ! 5D ( ! DIREC;NS A#AA & ! />T ( ! PROBLEM4 ,EXAMPLE3 ,F9D & SIMPLIFY EA* ( ! FOLL[+ EXPRES.NS4 ,LET _% F(X) .K >X+2] ,'& G(X) .K #3X-1_: #8_4 F(7) #9_4 G(2) #10_4 (F.*G)(2) _: #AA4 ,! OP5+ ,NEME? ,CODE 9DICATOR & ! ,NEME? ,CODE T]M9ATOR %D 2 PLAC$ ON ! SAME PAGE ) "P ( ! EXPRES.N TO : !Y APPLY4 #AB4 ,IF A TACTILE GRAPHIC 9T]V5ES 2T TWO ITEMS 9 ,NEME? ,CODE1 L1VE ,NEME? ,CODE 9 E6ECT = ! GRAPHIC4 #AC4 ,:5 %ORT COM;TS 9 ^WS APPE> ALT]NAT$ ) MA? PROBLEMS "1 SWIT* \ ( ,NEME? ,CODE TO TRANSCRIBE ! COM;TS 9 3TRACT$ BRL4 #AD4 ,9 UNCONTRACT$ ,NEME? BRL1 ! #AF ,5GLI% ,LR ,9DICATOR B#AA "<,,ELI"> IS US$ :]"E REQUIR$ BY ^S#BD-^S#CJ ( ! ,NEME? ,CODE4 ,? WD M1N1 = EXAMPLE1 T MULTIPLE *OICE & EX]CISE LRS Z WELL Z S+LE LR A2REVIA;NS WD NE$ ! ,,ELI4 -------------------------------------#AB #AE4 ,,UEB TYPE=M 9DICATORS >E US$ 9 ! SURR.D+ TEXT4 ,NEME? EMPHASIS 9DICATORS >E US$ ONLY IF X IS NEC TO 9DICATE EMPHASIS 9SIDE ! ,NEME? ,CODE SWIT*ES4 ,= ITALICIZ$ PHRASES ( TWO OR M ^WS )9 ,NEME? SWIT*ES1 ": NEC1 USE ! ?REE-CELL ,NEME? TYPE=M 9DICATORS = ^WS1 PHRASES1 & MA!MATICAL /ATE;TS4 _% ,'. .,' _: "<#F1 #C1 #DF"> "<#DF1 #F1 #C"> ,= A S+LE ITALICIZ$ ^W )9 ,NEME? SWIT*ES1 USE ! ITALIC TYPE=M 9DICATOR Z ALR PROVID$ = LRS & NUMB]S "<#DF">4 ,BOLDFACE IS 9DICAT$ BY ! ?REE-CELL ,NEME? OP5 & CLOSE BOLD 9DICATORS4 #AG #AG ,EXAMPLE3 A#AB ,REMEMB] ! RULE = ! PROBABIL;Y ( _% _;,A .AND _;,B _:8 ,X SD _% ,P(_;,A .AND _;,B) .K ,P(_;,A)@*,P(_;,B) ,':5 _;,A ,'& _;,B _: >E 9DEP5D5T4 #AF4 ,IF CODE SWIT*+ IS NEC )9 ! TEXT ( AN EMPHASIZ$ PASSAGE Z1 = EXAMPLE1 9 A LABEL$ /ATE;T1 ! 2G9N+ TYPE=M 9DICATORS >E REP1T$ AF EA* SWIT* TO %[ T EMPHASIS 3T9UES4 ,"!=E1 TO AVOID EXCESSIVE USE ( 9DICATORS1 OMIT ! TYPE=M 9DICA;N F AN EMPHASIZ$ PASSAGE 9 : CODE SWIT*+ O3URS UN.S DO+ S WD *ANGE ! M1N+4 #AH ,EXAMPLE3 #AC ,EMPHASIS MAY 2 IGNOR$ 9 ! FOLL[+ EXAMPLE4 ,! BOLDFACE FONT HAS NO M1N+4 ,IF RETA9$1 ,,UEB TYPE=M T]M9ATES ) ! OP5+ ,NEME? ,CODE 9DICATOR1 BOLD IS RE/AT$ 9SIDE ! SWIT*ES ) ,NEME? TYPE=M 9DICATORS1 OP5 & CLOSE1 ,,UEB TYPE=M IS RE/AT$ AF ! ,NEME? T]M9ATOR1 ETC41 REQUIR+ _M 9DICATORS4 ,) BOLDFACE RETA9$3 7777777777777777777777777777777777777777 ,,,MIDPO9T ( A L9E SEG;T,' ^7,IF A L9E SEG;T HAS 5DPO9TS AT _% ,'_ (X1, Y1) _,' _: ^1& _% ,'_ (X2, Y2) _,' _: B7!N ! MIDPO9T ( ! L9E SEG;T HAS COORD9ATES _% ,'_ (?X1+X2/2), ?Y1+Y2/2#) _,' _:4 GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG #AI ,) BOLD-FACE N RETA9$3 A#AC GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG ,,,MIDPO9T ( A L9E SEG;T,' ,IF A L9E SEG;T HAS 5DPO9TS AT _% (X1, Y1) ,'& (X2, Y2) _: !N ! MIDPO9T ( ! L9E SEG;T HAS COORD9ATES _% (?X1+X2/2#, ?Y1+Y2/2#) _:4 GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG -------------------------------------#AD ,9 ? SECOND EXAMPLE "! IS M1N+ TO ! ITALICS4 ,! ITALICS WD 2 RETA9$ US+ ,,UEB TYPE=M 9DICATORS1 B ! BOLDFACE TYPE=M MAY 2 IGNOR$4 #BJ 777777777777777777777777777777777 A#AD ,,,9V]SE ( A _% #2@*2 _: MATRIX,' ,ANY MATRIX ;,M1 _% @,(A B@,) _:1 W H AN @,(C D@,) 9V]SE _% ,M^-1 _: .7IF & ONLY IF _% @,(A B@,) /.K #0_4 ,'!N @,(C D@,) ,M^-1 .K ?1/AD-BC#@,(D -B@,) _:4 @,(-C A @,) GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG #AG4 ,NUMB] L9ES >E TRANSCRIB$ 9 ,NEME? ,CODE FOLL[+ ! PROVI.NS ( ! .7,GUIDEL9ES & ,/&>DS = ,TACTILE ,GRAPHICS4.' ,! FOLL[+ SYMBOLS >E US$ & M/ 2 LI/$ 9 BRL ORD] 9 A SEP>ATE CATEGORY ) ! CELL #E H1D+ 8,NEME? ,HORIZONTAL ,NUMB] ,L9E ,SYMBOLS0 ON ! ,SPECIAL ,SYMBOLS PAGE4 ,FOLL[+ IS .1SU7E/$ ^W+4 #BA B#AD .=O ,"R-PO9T+ >R[H1D .=OO ,BOLD "R-PO9T+ >R[H1D .=R ,ORD9>Y ""> COORD9ATE " M>K .=X ,OP5 " CIRCLE1 PLAC$ ABV ! NUMB] L9E .=Y ,"R BRACKET1 PLAC$ ABV ! NUMB] L9E .=& ,LEFT BRACKET1 PLAC$ ABV ! NUMB] L9E .== ,SOLID " CIRCLE1 PLAC$ ABV ! NUMB] L9E .=( ,LEFT P>5!SIS1 PLAC$ ABV ! NUMB] L9E .=) ,"R P>5!SIS1 PLAC$ ABV ! NUMB] L9E .=[ ,LEFT-PO9T+ >R[H1D .=[[ ,BOLD LEFT-PO9T+ >R[H1D .=3 ,L9E SEG;T .=7 ,BOLD "<%AD$1 COLOR$"> L9E SEG;T ^1,,NOTE3 ,^! SYMBOLS %D N 2 US$ 2L ! ,GRADE #D LEVEL4 -------------------------------------#AE ,=MATT+ ,! SWIT* 9DICATORS SIGNAL : ^1SYMBOLS >E TO 2 US$1 B !Y D N GOV]N ! #BB ^1=MATT+4 ,=MATT+ " IS H&L$ Z A SEP>ATE ISSUE F ! SWIT* 2T ^1SYMBOLS ^1SETS_/NOTA;N4 ,? M1NS T ! DOCU;T T 3TA9S EV5 "O SET ( ,NEME? ,CODE SWIT* 9DICATORS IS =MATT$ AC TO ! FOLL[+ MIX ( ,NEME? ,CODE & .1,BRL .1,=MATS PROVI.NS REG>D.S ( :E!R ,NEME? ,CODE IS 9 E6ECT4 ,NOTE T = ? 3TEXT1 EMPHASIS FALLS 9 ! CATEGORY ( SYMBOLS1 N =MATT+4 #A4 ,FOLL[ ,NEME? ,CODE RULES AB DIVI.N ( MA!MATICAL EXPRES.NS4 ,IF "! IS N ROOM ON A L9E = ! ,NEME? ,CODE T]M9ATOR & ANY RELAT$ PUNCTUA;N TO FOLL[ ! LA/ EXPRES.N1 ! 9DICATOR MAY 2 SEP>AT$ F ! MA? & PLAC$ ON ! FOLL[+ L9E4 #B4 ,= A BOX TRANSCRIB$ ALL 9 ,NEME? ,CODE1 ! OP5+ ,NEME? ,CODE 9DICATOR IS AT ! 2G9N+ ( ! TOP BOX L9E1 FOLL[$ BY A BLANK SPACE4 ,! ,NEME? ,CODE T]M9ATOR IS AT ! 5D ( ! BOTTOM BOX L9E1 PREC$$ BY A SPACE4 ,! BOX L9ES !MVS %D 2 BRLD Z 9DICAT$ 9 ! MO/ #BC CURR5T $I;N ( .1,BRL .1,=MATS4 B#AE ,IF A TRANSCRIB]'S NOTE O3URS 9SIDE A BOX T IS O!RWISE ALL 9 ,NEME? ,CODE1 D N 9CLUDE ! BOX L9ES )9 ,NEME? ,CODE4 ,PREF]ABLY1 ! TRANSCRIB]'S NOTE WD 2 TRANSCRIB$ 2F ! BOX4 ,IF TE*NICAL MAT]IAL FOLL[S ! BOX )\T 9T]RUP;N1 2G9 ! ,NEME? ,CODE 2F ! BOX & T]M9ATE ,NEME? ,CODE AF ! TE*NICAL MAT]IAL FOLL[+ ! BOX4 #BD ,EXAMPLE3 #AF-#AG ,TANG5T TABLE _% 7777777777777777777777777777777777777 ;X (RAD) ;X (^.*") TAN (X) "3333333 "3333333333 "333333 -.P_/2 -#90^.* """ -,= -#1.2490 -#71.565^.* -#3 -#1.1071 -#63.435^.* -#2 -.P_/3 -#60^.* """ ->3 -.P_/4 -#45^.* """ -#1 -.P_/6 -#30^.* """ -#1_/>3 -#0.4636 -#26.565^.* -#0.5 #0 """"" #0^.* """"" #0 #0.4636 #26.565^.* #0.5 .P_/6 "" #30^.* """" #1_/>3 .P_/4 "" #45^.* """" #1 .P_/3 "" #60^.* """" >3 #1.1071 #63.435^.* #2 #1.2490 #71.565^.* #3 .P_/2 "" #90^.* """" ,= GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG _: #BE #C4 ,ALL N>RATIVE P>AGRAPHS %D 2 #AH TRANSCRIB$ 9 #C-#A "AGRAPHS">4 #D4 ,RUNOV] M>G9S = ITEMIZ$ MAT]IAL >E DET]M9$ 9DIVIDUALLY = EA* "Q R ?AN BY SEC;N Z .1,=MATS /ATES4 #E4 ,= AN EX]CISE ) ANY NUMB] ( SUB5TRY LEVELS1 USE M>G9S #A-#E = ! F/ LEVEL1 & #C-#E = ALL SUBSEQU5T LEVELS4 "<,FOLL[S .7,NEME? =MATT+ RULES.'">4 #F4 ,X IS PREF]R$ T AU?ORS' COM;TS FOLL[+ MA!MATICAL EQUA;NS 2 TR1T$ Z "P ( ! L9E ( ! EQUA;N1 ) RUNOV]S 9 ! APPROPRIATE LOCA;N = ! EXPRES.N4 ,ALT]NATIVELY1 AU?ORS' COM;TS MAY 2 BLOCK$ F\R CELLS TO ! "R ( ! RUNOV] ( ! EXPRES.N4 ,! COM;TS %D 2 =MATT$ 9 A 3SI/5T MANN] )9 A TRANSCRIP;N4 #BF ,EXAMPLE3 #AI ,Y C SUB/ITUTE ^! VALUES 9TO ! EQUA;N TO F9D ;,C4 _% ,AX+,BY .K ,C _: ,/&>D =M ( A L9E> EQUA;N _% #4X+5Y .K ,C _: ,SUB/ITUTE VALUES = ,A & ;,B4 _% #4(3)+5(1) .K ,C _: ,SUB/ITUTE VALUES = ;X & ;Y4 _% #12+5 .K ,C #17 .K ,C _: ,! /&>D =M ( ! EQUA;N IS _% #4X+5Y .K #17 _:4 -------------------------------------#BJ #G4 ,FOLL[ .1,=MATS = 4PLAY$ LIT]>Y TEXT1 ) ! EXCEP;N ( BLOCK$ P>AGRAPHS1 : >E N US$ 9 ,NEME?4 ,FOLL[ ,NEME? RULES = 4PLAY$ MA? EXPRES.NS "<4PLAY$ MAT]IAL 2G9S #B CELLS TO ! "R ( ! MAT]IAL ABV X ) RUNOV]S TWO CELLS TO ! "R ( T2 NO BLANK L9ES">4 #H4 ,9/RUC;NS >E TRANSCRIB$ 9 #E-#C "4 #BG ,AT L1/ "O L9E ( ! 9/RUC;NS M/ A#BJ 2 ON ! SAME BRL PAGE Z ! "QS OR ITEMIZ$ TEXT T FOLL[4 #I4 ,9/RUC;NS M/ 2 FOLL[$ BY LR$ OR NUMB]$ EX]CISES4 ,IF "! >E NO EX]CISES FOLL[+ ! 9/RUC;NS1 ! TEXT IS 3SID]$ A N>RATIVE P>AGRAPH & TRANSCRIB$ 9 #C-#A4 #AJ4 ,IF ! BODY ( A TABLE1 EXCLUD+ COLUMN H1D+S1 3SI/S ONLY ( NUMB]S1 ! NUM]IC 9DICATOR ^1MAY 2 OMITT$4 ,! TABLE C 3TA9 NO GUIDE DOTS1 PLUS_/M9US SIGNS1 ETC4 ,NO ;,,TN IS REQUIR$4 ,! BODY ( ! TABLE IS TRANSCRIB$ AC TO ,NEME? ,CODE & M/ 2 )9 ,NEME? ,CODE 9DICATORS4 #AA4 ,9 LI/$ TABLE =MAT1 :5 TRANSCRIB+ )9 ! ,NEME? SWIT*ES1 A D\BLE DA% " IS US$ = BLANK 5TRIES T >E TO 2 FILL$ IN4 #AB4 ,TRANSCRIBE PROPOR;N & RATIO SYMBOLS AC TO ! RULES ( ,NEME? ,CODE4 #AC4 ,9 A TE*NICAL 3TEXT1 USE ! ,NEME? C>ET2 9 SURR.D+ TEXT1 USE ! ,,UEB C>ET4 ,? M1NS T ! C>ET MAY 2 #BH BRLD TWO DI6]5T WAYS )9 "O B#BJ DOCU;T4 ,! 4T9C;N IS BAS$ ON M1N+4 #AD4 ,^WS 5CLOS$ 9 %APES >E TRANSCRIB$ AC TO ! ME?ODS = %APES ) 9T]NAL MODIFICA;N & M/ 2 5CLOS$ )9 ,NEME? SWIT*ES4 ,? 9CLUDES PR9T REPRES5TA;NS ( COMPUT] OR CALCULATOR KEYS4 #AE4 ,:5 A MATRIX IS EMB$D$ 9 TEXT1 ! OP5+ ,NEME? ,CODE 9DICATOR IS PLAC$ ON ! TOP L9E ( ! MATRIX 2F ! OP5+ 5L>G$ GR\P+ SYMBOL ON T L9E2 ! ,NEME? ,CODE T]M9ATOR IS PLAC$ ON ! TOP L9E ( ! MATRIX AF ! CLOS+ 5L>G$ GR\P+ SYMBOL4 ,^! 9DICATORS APPLY TO ! :OLE >RANGE;T4 ,! 5L>G$ GR\P+ 9DICATORS PROVIDE ! B.D>IES ON ! SUBSEQU5T L9ES ( ! MATRIX4 ,IF "! IS ROOM ON ! TOP L9E AF ! MATRIX1 SURR.D+ TEXT C 3T9UE ON T L9E4 #BI ,EXAMPLE3 #BA ,= ! MATRIX _% @,(A B C@,) _:1 ! @,(D E F@,) @,(G H I@,) DET]M9ANT IS F.D US+ ! DIAGONAL RULE4 #AF4 ,9 A UNIFI$ SY/EM ( EQUA;NS ) A3OMPANY+ REM>KS TO ! "R & NO "R GR\P+ SIGN1 ! REM>KS >E PLAC$ ON ! L9E FOLL[+ ! REQUIR$ BLANK L9E 9 ! 4PLAY$ POSI;N = T TEXT4 @.<,! ,5D@.> #CJ