,SEC;N #C3 ,SIGNS ( #A ,OP]A;N & ,COMP>ISON ,OP]A;N SIGNS3 @.<,COLUMNS FOLL[ "O ANO!R 9 ? ORD]3 ,BRL ,UNICODE ,UNICODE "N1 ALT]NATE "NS .@.> .="6 #JJB;B PLUS .="- #BBAB M9US .<:5 4T+UI%$ F HYPH5.> .="8 #JJ;D#G MULTIPLICA;N1 "TS . .="4 #BB;C#E DOT OP]ATOR1 "TS . .="4 #JJ;B#G MIDDLE DOT1 "TS . .="4 #BBAI BULLET OP]ATOR1 "TS . #C #A APPRVD OC '#AH A#A .="/ #JJ;F#G DIVI.N1 DIVID$ BY . .=_6 #JJ;B#A PLUS-M9US1 PLUS- OR-M9US . .=_- #BBAC M9US-OR-PLUS . .=3 #BBCF RATIO1 IS TO . .="0 #BBAH R+ OP]ATOR1 COMPOSITE FUNC;N1 HOLL[ DOT . .="9 #BBAG A/]ISK OP]ATOR1 /> . ,COMP>ISON SIGNS3 @.<,COLUMNS FOLL[ "O ANO!R 9 ? ORD]3 ,BRL ,UNICODE ,UNICODE "N1 ALT]NATE "NS .@.> #C #B APPRVD OC '#AH B#A .="7 #JJC;D EQUALS .="7@: #BBFJ N EQUAL TO . .=@< #JJC;C LESS-?AN .=@> #JJC;E GRT]-?AN .=_@< #BBFD LESS-?AN OR EQUAL TO . "U LESS-?AN.> .=_@> #BBFE GRT]-?AN OR EQUAL TO . "U GRT]-?AN.> .=.@< #BBF;A M* LESS-?AN . .=.@> #BBF;B M* GRT]-?AN . .=_= #BBFA ID5TICAL TO1 3GRU5T TO1 EQUIVAL5T TO . ----------------------------#B .=#_L #BIHJ TRIPLE V]TICAL B> DELIMIT]1 SIMIL> TO . #C #C APPRVD OC '#AH A#B .=#_L #B;AF#D TRIPLE V]TICAL B> B9>Y RELA;N1 SIMIL> TO . .=#_L #B;AFC L>GE TRIPLE V]TICAL B> OP]ATOR . .=@9 #BBC;C TILDE OP]ATOR1 SIMIL> TO1 V>IES )1 DI6];E 2T . .=@9 #JJG;E TILDE . .=_9 #BBDC ASYMPTOTICALLY EQUAL TO1 APPROXIMATELY EQUAL TO . .=^9 #BBDH ALM EQUAL TO1 APPROXIMATELY EQUAL TO1 ASYMPTOTIC TO . .="_9 #BBDE APPROXIMATELY EQUAL TO1 3GRU5T TO . #C #D APPRVD OC '#AH B#B .=."7 #BBEA GEOMETRICALLY EQUAL TO1 APPROXIMATELY EQUAL TO1 EQUIVAL5T TO . .=^"7 #BBD;F DI6];E 2T1 APPROXIMATELY EQUAL TO ..> .=_"7 #BBA;D PROPOR;NAL TO1 V>IES Z .<9F9;Y SIGN OP5 ON ! "R.> .=33 #BBCG PROPOR;N1 Z . .=#L #BBBE P>ALLEL TO . .=#- #BG;C#B P]P5DICUL> TO1 OR?OGONAL TO . .1,REF] .1TO3 ,SEC;N #F1 ,FRAC;NS1 = FRAC;N L9ES2 ,SEC;N #AJ1 ,SET ,!ORY1 ,GR\P ,!ORY & ,LOGIC1 = SIGNS ( OP]A;N & COMP>ISON US$ 9 ^? #C #E APPRVD OC '#AH C#B SUBJECTS2 ,SEC;N #AC1 ,>R[S1 = >R[S :5 US$ Z SIGNS ( COMP>ISON2 ,SEC;N #AG1 ,COMPUT] ,NOTA;N = ,,ASCII SIGNS2 & TO .7,RULES ( ,UNIFI$ ,5GLI% ,BRL1.' ,SEC;N #C4AG1 = USE ( SIGNS ( OP]A;N & COMP>ISON 9 LIT]>Y MAT]IAL4 #C4A ,SPAC+ .1,NOTE3 ,! PRES;E OR ABS;E ( SPACES 9 BRL IS AN IMPORTANT AID TO P>S+ MA!MATICAL EXPRES.NS & EQUA;NS4 ,PR9T SPAC+ IS (T5 SIMPLY A MATT] ( PR9T+ /YLE4 #C4A4A ,9 G5]AL1 SIGNS ( OP]A;N >E UNSPAC$ 9 BRL & SIGNS ( COMP>ISON >E SPAC$ 9 BRL4 .1,REF] .1TO3 #C4A4B "? #C4A4F = EXCEP;NS TO ? G5]AL GUIDEL9E4 #C4A4A #F APPRVD OC '#AH #C ,EXAMPLES3 #BY "7 X"6#D 8#BY EQUALS ;X PLUS #D0 #E"-#C "7@: #C"-#E 8#E M9US #C IS N EQUAL TO #C M9US #E0 #C"8#E "7 #E"8#C "7 #AE 8#C "TS #E EQUALS #E "TS #C EQUALS #AE0 #BJJ;G"8#E "7 #AKG 8#BJJ;G "TS #E EQUALS #AKG0 ,>EA "7 BH "7 #E"4#C "7 #AE 8,>EA EQUALS BH EQUALS #E "TS . #C EQUALS #AE0 #C/AE "7 #C"/#AE "7 #J4B 8#C OV] #AE EQUALS #C DIVID$ BY #AE EQUALS #J4B0 #AE_6#J4E 8#AE PLUS OR M9US #J4E0 #C4A4A #G APPRVD OC '#AH #D X;9#B"-Y9#B "7 "" 8;X SQU>$ M9US ;Y SQU>$ EQUALS "<;X PLUS OR M9US Y">"0 #B3#D "7 #F3#AB 8! RATIO #B TO #D EQUALS ! RATIO #F TO #AB0 X;3Y OR ;;X3Y 8! RATIO ;X TO ;Y0 #A3#B 33 X3#F 8! RATIO #A IS TO #B Z . ;X IS TO #F0 #C"8#A @< #C"6#A 8#C "TS #A IS LESS ?AN #C PLUS #A0 #D9#B @> #D"6#D 8#D SQU>$ IS GRT] ?AN #D PLUS #D0 #C4A4A #H APPRVD OC '#AH A#D ,F9D .? IF #J _@< .? _@< .P 8,F9D !TA IF #J IS LESS ?AN OR EQUAL TO !TA IS LESS ?AN OR EQUAL TO PI0 ----------------------------#E ,IF A _@< ;B1 !N "-A _@> "-B 8,IF A IS LESS ?AN OR EQUAL TO ;B1 !N M9US A IS GRT] ?AN OR EQUAL TO M9US ;B0 #A .@< #AJJJJJJ 8#A IS M* LESS ?AN #AJJJJJJ0 #A .@> #J4JJJJJJA 8#A IS M* GRT] ?AN #J4JJJJJJA0 #A _= #E" 8#A IS 3GRU5T TO . #E MODULO #D0 #C4A4A #I APPRVD OC '#AH A#E ,,ABCD #_L ,,EFGH 8,,ABCD IS SIMIL> TO . ,,EFGH0 ;X @9 ;Y 8;X IS EQUIVALENT TO . ;Y0 ;$#C:,,ABC @9 ;$#C:,,DEF 8TRIANGLE ,,ABC IS SIMIL> TO . TRIANGLE ,,DEF0 #C4I"8#D4A _9 #AF 8#C4I "TS #D4A IS APPROXIMATELY EQUAL TO . #AF0 ----------------------------#F #AE^J,C ^9 "-#I^J,F 8#AE DEGREES ;,C IS APPROXIMATELY EQUAL TO . M9US #I DEGREES ;,F0 #C4A4A #AJ APPRVD OC '#AH A#F ,,ABC "_9 ,,XYZ 8,,ABC IS 3GRU5T TO . ,,XYZ0 .P ."7 #C4ADB 8PI IS APPROXIMATELY EQUAL TO . #C4ADB0 ;X ."7 ;Y IMPLIES ;Y ."7 ;X 8;X IS APPROXIMATELY EQUAL TO . ;Y IMPLIES ;Y IS APPROXIMATELY EQUAL TO . ;X0 "<;K1 ;L"> ."7 "<;M1 ;N"> OR ;;;" ."7 ";' 8"<;K1 ;L"> IS EQUIVAL5T TO . "<;M1 ;N">0 #C4A4A #AA APPRVD OC '#AH B#F #DF"8#CB ^"7 #EJ"8#CJ 8#DF "TS #CB IS APPROXIMATELY EQUAL TO ..> #EJ "TS #CJ0 ----------------------------#G #B/C ^"7 #J4FG 8TWO-?IRDS IS APPROXIMATELY EQUAL TO ..> #J4FG0 V;5#A ^"7 #J 8;V SUBSCRIPT #A IS APPROXIMATELY EQUAL TO ..> #J0 ,IF ;Y _"7 ;X !N ;Y "7 KX 8,IF ;Y IS PROPOR;NAL TO ;X !N ;Y EQUALS KX0 ,,PQ #L ,,KL & ,,PQ #- ,,XY 8,,PQ IS P>ALLEL TO ,,KL & ,,PQ IS P]P5DICUL> TO ,,XY0 #C4A4A #AB APPRVD OC '#AH A#G #C4A4B ,SIGNS ( OP]A;N MAY 2 SPAC$ :5 !Y >E F/ TAUISON >E UNSPAC$ :5 !Y APPE> 9 AN EXPRES.N : IS N ON ! BASE L9E4 ,EXAMPLES3 ,.S.5;.9#AJ#CN 8! SUM F ;N EQUALS #A TO #AJ ( #CN0 #C4A4C #AC APPRVD OC '#AH A#H ;;!59X9#B;DX 8! 9TEGRAL F ;X EQUALS #A TO ;X EQUALS #E ( ;X SQU>$ DX0 #C4A4D ,SIGNS ( COMP>ISON MAY 2 UNSPAC$ 9 ORD] TO AVOID DIVID+ AN EXPRES.N 2T BRL L9ES4 ,EXAMPLE3 ""_@<#GX9#B 8"<;X PLUS #AJ">" IS LESS ?AN OR EQUAL TO #G ;X SQU>$0 #C4A4E ,SIGNS ( OP]A;N MAY 2 SPAC$ TO 5H.E ! P>S+ ( AN EXPRES.N : 9CLUDES SPACES 2T QUANTITIES & _! UNITS4 .1,REF] .1TO3 #I4C = SPAC+ ( SIGNS ( OP]A;N ) FUNC;N "NS & _! >GU;TS4 #C4A4E #AD APPRVD OC '#AH B#H ,EXAMPLES3 #B FT "6 #D FT "7 #F FT 8#B FT PLUS #D FT EQUALS #F FT0 #EG4B MM "/ #AJ "7 #4EGB CM 8#EG4B MM DIVID$ BY #AJ EQUALS #4EGB CM0 ----------------------------#I #C4A4F ,FOLL[ PR9T SPAC+ = SIGNS ( OP]A;N & COMP>ISON :5 ! ADJAC5T TEXT IS N A :OLLY MA!MATICAL EXPRES.N4 ,EXAMPLES3 ;X AXIS F "-#D TO "6#E 8;X AXIS F NEGATIVE #D TO POSITIVE #E0 ,! ANSW] IS "-#A/B4 8,! ANSW] IS NEGATIVE "O HALF40 ,! >EA RCVS @<#B 9*ES ( RA94 8,! >EA RCVS LESS ?AN #B 9*ES ( RA940 #C4A4F #AE APPRVD OC '#AH A#I A RANGE ( ^"7#D.MG 8A RANGE ( APPROXIMATELY ..> #D MICROGRAMS0 #C4B ,M9US .="- .=- .1,NOTE3 ,! PR9T M9US IS V SIMIL> TO ! PR9T HYPH5 B IS NORMALLY %[N Z A SLILY 9 TE*NICAL MAT]IAL4 #C4B4A ,X IS P]MISSIBLE TO USE A BRL HYPH5 = A M9US : IS 9DI/+UI%ABLE F A HYPH5 9 PR9T4 ,EXAMPLE3 CURR5T BAL.E - 9ITIAL BAL.E "7 A3UMULAT$ 9T]E/ 8CURR5T BAL.E M9US . 9ITIAL BAL.E EQUALS A3UMULAT$ 9T]E/0 #C4B4A #AF APPRVD OC '#AH #AJ #C4C ,POSITIVE & NEGATIVE NUMB]S #C4C4A ,USE A SUP]SCRIPT 9DICATOR :5 A PLUS OR M9US1 9DICAT+ A POSITIVE OR NEGATIVE NUMB]1 IS 9 ! SUP]SCRIPT POSI;N4 .1,NOTE3 ,X IS P]MISSIBLE TO DESCRIBE ! SUP]SCRIPT POSI;N 9 A TRANSCRIB]'S NOTE 9/1D ( US+ A SUP]SCRIPT 9DICATOR4 ,EXAMPLES3 ,EVALUATE ;9"-#B"69"-#C 8,EVALUATE NEGATIVE #B PLUS NEGATIVE #C .<) ! M9US SIGNS 9 ! SUP]SCRIPT POSI;N 9 PR9T.>0 #C4C4A #AG APPRVD OC '#AH A#AJ @.<,PR9T USES A SUP]SCRIPT PLUS = A POSITIVE NUMB] & A SUP]SCRIPT M9US = A NEGATIVE NUMB]4 ,! SUP]SCRIPT POSI;N IS N %[N 9 BRL4@.> "-#B^J,C OR "6#B^J,F 8M9US #B DEGREES ;,C OR PLUS #B DEGREES ;,F .<) ! M9US & PLUS SIGNS 9 ! SUP]SCRIPT POSI;N 9 PR9T.>0 #C4D ,HOLL[ DOT .="0 #C4D4A ,USE ! HOLL[ DOT TO REPRES5T ! MA!MATICAL SIGN ( OP]A;N4 .7,REF] TO3 ,RULES ( ,UNIFI$ ,5GLI% ,BRL1.' SEC;N #C4E = ! BULLET & SEC;N #C4AA = ! DEGREE SIGN4 #C4D4A #AH APPRVD OC '#AH #AA ,EXAMPLES3 ""0H "7 F"0H"6G"0H 8"<;F PLUS ;G"> HOLL[ DOT ;H EQUALS ;F HOLL[ DOT ;H PLUS ;G HOLL[ DOT ;H0 "" "7 F""> 8"<;F HOLL[ DOT G">" EQUALS F"">0 #C4E ,A/]ISK1 /> .="9 #C4E4A ,USE ! BRL A/]ISK TO REPRES5T ! PR9T MIDL9E A/]ISK US$ Z A SIGN ( OP]A;N 9 MA!MATICS4 ,X IS G5]ALLY BRLD UNSPAC$4 .1,NOTE3 ,BO? ! MIDL9E A/]ISK & ! RAIS$ A/]ISK >E REPRES5T$ BY ! SAME BRL SIGN4 .1,REF] .1TO3 ,SEC;N #AG1 ,COMPUT] ,NOTA;N = ! A/]ISK Z AN ,,ASCII SYMBOL2 & .7,RULES ( ,UNIFI$ ,5GLI% #C4E4A #AI APPRVD OC '#AH A#AA ,BRL1.' SEC;N #C4C = ! A/]ISK US$ 9 LIT]>Y MAT]IAL4 ,EXAMPLES3 #C"9#B "7 #B"9#C 8#C "TS . #B EQUALS #B "TS . #C0 "9 IS 4TRIBUTIVE OV] "0 IF A"9" "7 ""0" 8A/]ISK IS 4TRIBUTIVE OV] HOLL[ DOT IF A A/]ISK "<;B HOLL[ DOT ;C"> EQUALS " HOLL[ DOT "0 #C4E4A #BJ