User manual - fx-5800P

ManualsBrandsCasio ManualsCalculatorfx-5800P

fx-5800P

ᅋ࡟ํடร

http://world.casio.com/edu/

RJA516651-001V01

Summary of content (139 pages)

PAGE 1
Ck fx-5800P ᅋ࡟ํடร http://world.casio.
PAGE 2
!k ട‫־‬৊ᆛ౮ƽ !ࣜ๻ಹኰᅘქ‫ޔ‬໎ผ‫و‬৊ᆛ౮ǈट٫֠ᅳ٫֠Կቲ‫׋و‬౮‫ޒ‬৚ෳ٫֠ᇀ،‫ࠧ܅‬ᆱพಜ ࣺԥ࢙ૣ෡٫ફăฑ‫״‬ኼӄෳᅋࣜ๻ಹቐ೐ǈഋྣӤട‫־‬৊ᆛ౮ă !ട‫־‬৊ᆛ౮ !2/! Ѣओ་ቚ෸‫۽‬ဂ਻৊ᆛ౮‫و‬Ӷ೉ჾӯട‫־‬৊ᆛ౮ă Pull to remove 引き抜いてください !3/! ട‫־‬৊ᆛ౮ࡍǈෳᅋ࿈ࣸኴྡ౹‫׋‬ႅࣜ๻ಹҿஎ‫!و‬Q!Ѣఉჾ६ှ‫ࣜڶ‬๻ಹ‫ֽو‬෶ࡧă ! ഋ ! ྣӤቖှ‫ױ‬ԧኊƽԥ৹ෛଞƽ! P !Q!Ѣఉ !k टࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫ڊ‬ !ቖှჾ࿒Ճዷჾटࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫ڊ‬ăኢᄌǖ‫ݒ‬ᆓࣜ๻ಹნटක‫صׅ‬೐ࣜ ๻ಹ௠،ቲ،‫و׈‬ຑᅘืযă !टࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫ڊ‬ !2/! Ѣ!!Nc3)TZTUFN*!3)Sftfu!Bmm*ă !•!‫ױ‬Ճዷट࿤෸ĐSftfu!Bmm@đവ്ဳྲă !3/! Ѣ!!E)Zft*ă •!!൥߷ԥླཏटࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫ڊ‬ǈᇘѢ!!J)Op*ǈۚԥეѢ!!E)Zft*ă !ჾ࿒กटࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫ࡍ
PAGE 3
!k ߔᅢӊฐՋ !•!‫ؙ‬ԩ‫ܖ‬ऒ‫ڞ‬৹ჾቖှ‫ۂ‬ቸ‫ޢ‬௢ăѢኡ!!1!ࢪ!!Sǈ்ଡ଼૙ქ‫ޔ‬ऒटቖှದດऒ‫و‬ӄ ᅋ‫ޢ‬௢ăӄᅋ‫ޢ‬௢Ӷࣝᇀऒ୙ණă !ӄᅋ‫ޢ‬௢ sin–1{D} !ऒ୙‫ޢ‬௢ s ! ӊฐՋቲӶࣝ‫و‬ӄᅋ‫ޢ‬௢Ճዷ൥࿒ຑ෸ă –1 !෸ઋǖ!1s(sin )!1E !ਸ਼ࠟቲ‫ܻࠟو‬ӹ෸೐எ‫و‬ऒՃዷቖှ‫ืࠉو‬ă !•!ჾ࿒௠൛ཛྷฐՋቲᇀ࿤෸ಹණ࿤෸‫و‬Ե‫ة‬࿾ຑෳᅋ‫ܻࠟو‬ă !෸ઋǖ!z ! !– {PROG} –!|!/!~ !‫ؙ‬ਸ਼ࠟ!)|!~*!ቲ‫ܻࠟو‬ӹ෸ၭ‫وڊ‬Ե‫ة‬࿾ă !•!ჾ࿒௠൛ཛྷฐՋቲᇀ࿤෸ಹණ࿤෸‫و‬Ե‫ة‬࿾ຑෳᅋ‫ܻࠟو‬Ǆड़ኜѢืዖऒੂቖှǅ ă !෸ઋǖ!z!–!{MATH}!1(∫!dX) !ਸ਼ࠟቲ‫ܻࠟو‬ӹ෸೐எ‫ืو‬ዖऒ‫وོ܃‬Ե‫ة‬࿾ă !•!ӊĖᅋ࡟ํடรėቲพ‫و־‬࿤෸ࠧ༐෸Ǆ൥ऒӶࣝǅ४‫ํޥ‬டǈ৹௢ᅳຑӹ෸‫و‬෯ ࣠࿾ᅘຑԥༀă •!!ӊฐՋ‫و‬௠൛൥ᅘӰ‫ޚ‬ǈูԥ૙ှ໼ቌă •!!DBTJP!Dpnqvufs!Dp/-!Mue/!‫ڶ‬ᅢᄜ޶଼ࢪෳᅋӊդ
PAGE 4
!Ѡഩኢᄌ෼࿾ !ෳᅋ‫ࣜױ‬๻ಹቐ೐ǈഋྣӤᆪ‫ڣ‬ჾ࿒Ѡഩኢᄌ෼࿾ăവ෯ү،ࠝຑᅘᅋ࡟ྲྀ‫ع‬ჾ‫ޥ‬ट ੂԸ৬ă ! !ঁ‫!!ބ‬ !‫ܻࠟױ‬ᅋᅢӹ෸൥߷ࡐଞ‫ྲဳױ‬ǈᇘ৹௢࢙‫ـ‬ቤ൉෉ටࠀࢪԮ઻ຈ࡭ă ! !٫֠!! •!!‫ࣜ׹‬๻ಹട‫־‬٫֠ࡍǈഋट٫֠‫܅‬ብᇀۛ༃ԥᄁे‫وف׋‬Ѡഩٜ‫۽‬ǈჾӨஊۛ༃ ྥ༠ă !•!ट٫֠‫܅‬ᇀۛ༃ԥᄁे‫وف׋‬ٜ‫۽‬ă൥߷ྥ༠٫֠ǈഋ઎࣊ዉၻყූă !•!ഋྡྷ‫ڶ‬٫֠֬٫ǈ ժฎ՚৚٫֠ࢪෳ٫֠‫ଁڮ‬ăഋྡྷट٫֠৯॰െᆚࢪ‫ܙ‬න٫֠ă! !•!ෳᅋ٫֠ԥ‫ص‬৹௢࢙‫ـ‬ቤ٫֠ဧ૳ࠧຈࠀ‫ݛ‬॰ྡ౹ǈԌೲ৹௢࢙ᄧಲࢨᆼࠧᇒ֑ ൉෉ටࠀă •!!ဂࣜ๻ಹኰ൩٫֠෫ǈᄮ෶ቷവүቁവ‫܅‬ብ٫֠ቁࣁ!!!k!ࠧ‫!!ࣁݘ‬l ! ă !•!൥߷լ෫ࣺԥ‫ؘ‬๻ෳᅋࣜ๻ಹǈഋട‫־‬٫֠ă !•!४ෳᅋӊฐՋቲཛྷӊࣜ๻ಹቚ‫وڊ‬٫֠ျࠟă ! !‫׌‬ብࣜ๻ಹ!! !•!ഋྡྷ‫ܙ‬නࣜ๻ಹă‫ܙ‬නࣜ๻ಹ৹௢࢙‫ـ‬ቤஹဗዩऔ༏ഹҸᇬǈ‫ۚ׹‬ᄧಲࢨᆼࠧᇒ ֑൉෉ටࠀă ! Ck-3
PAGE 5
!Ճዷኢᄌ෼࿾ !•!ฑ‫״‬ෳᅋࣜ๻ಹቐ೐ǈഋྣӤѢࣜ๻ಹҿஎ‫!و‬Q!ѢఉăഋԸሙٞ!2!ოᅘߔ!Q!Ѣఉ‫و‬ ဳྲă !•!࣊ෳࣜ๻ಹቁիᆱှǈნეባඵქ௰‫ࡳޚ‬ქ‫״‬٫֠ă ! ܏ছ٫֠৹௢࢙ဧ૳ǈ‫ࣜڶۚ׹‬๻ಹᇒ֑ຈࠀࠧෳࣜ๻ಹդූ߆ሓăഋྡྷट܏ছ٫ ֠ჯૠᇀࣜ๻ಹቲă !•!ైӄ‫و‬٫֠ᇀᆱพࠧ،‫܅‬ಜࣺ৹௢࢙դූഁཔ‫܅‬٫ăᄜ‫ױ‬ǈ‫ࡳޚ‬෫ࣺ৹௢࢙Ӕቁի ٫֠ณதეᇍă •!!ഋྡྷ‫ڶ‬ӊդ౹ෳᅋ௾ംࢪൌࠨದດෳᅋ௾ዷཛྷԮ઻‫و‬٫֠ă٫֠ࠧդ౹ߢ‫ޏ‬ԥࣼ൛ ৹௢࢙‫ـ‬ቤ٫֠ณதຍ‫ࠧڮ‬ෳդ౹ۢූ߆ሓă !•!٫֠൛ફृّ৹௢࢙‫ـ‬ቤ௠،௠൛ຈ࢑ࢪ༾ഩ‫ڌ‬෡ăഋ෶ቷ،‫܅‬ຑᅘቺეืয‫و‬ร எࣝଆă •!!ഋӨஊᇀմ‫ࣁڪུ־‬࿮‫و‬ഘᅺෳᅋࠧ،‫ࣜ܅‬๻ಹă ! ུ‫ّ߹ڪ‬৹௢࢙‫ـ‬ቤ࿤෸ಹ࿼ᄮ๱‫ڪ‬ऩّĂ࿤෸ಹ༾ഩ෡૕ࠧຍ‫ڮ‬٫֠ณதăࡱᄮ Өஊटࣜ๻ಹቓेҵ଀ᅢჀߞቐ࿒Ă৯॰‫ז‬ਊĂ৯॰െᆚࢪ৹௢࢙ෳࣜ๻ಹಚ଀ᅢ ߹‫وڪུݽ‬ൌࠨٜ‫۽‬ă߹െ৹௢࢙ෳࣜ๻ಹ༶৷ӰඇࢪӰြǈ Ԍ‫ڶ‬௠ԩ٫ଁᇒ֑ຈࠀă •!!ഋӨஊᇀ෤‫ࢊࠧݽ߹ڪ‬ֆ߹‫وۂ
PAGE 6
!௅ଆ !ട‫־‬৊ᆛ౮ƽ!////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////!2! !टࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫!ڊ‬///////////////////////////////////////////////////////////////////////////////////////////!2! !ߔᅢӊฐՋ/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////!3! !෸ઋቲෳᅋ‫!ܻࠟو‬////////////////////////////////////////////////////////////////////////////////////////////////////////
PAGE 7
!үૠ৹Ӱ،‫׈‬ಹ!/////////////////////////////////////////////////////////////////////////////////////////////// 45 !ᅋ࡟،‫׈‬ഘᅺ!//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////!45! !ෳᅋ‫ې‬༶Ӱફ!//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////!46! !ෳᅋ!!π!ࠧ৶࣒իื!////////////////////////////////////////////////////////////////////////////////////////// 47 !Qj!)!π*!//////////
PAGE 8
!‫֔۽‬෷ࣜ๻!)FRO*!//////////////////////////////////////////////////////////////////////////////////////////// 79 !‫֔۽‬෷ࣜ๻‫ݣ‬ะ!//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////79 !ၭᇗ‫֔۽‬෷੮ျ!//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////7:!! !พ൩࿅ื቗///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
PAGE 9
!،‫׈‬ಹߘ੻ಹ!)NFNPSZ*!////////////////////////////////////////////////////////////////////////////// 234 !৹ක‫ืׅ‬য੮ျࠧ቉֞‫و‬ක‫ׅ‬Ճዷ!///////////////////////////////////////////////////////////////////////////////////!234! !ෳᅋ،‫׈‬ಹߘ੻ಹ!////////////////////////////////////////////////////////////////////////////////////////////////////////////////!235! !‫ݛ‬ଆ!//////////////////////////////////////////////////////////////////////////////////////////////////////////////// 236 !ࣜ๻‫و‬ᅍ࿘๋ၠ!/////////////////////////////////
PAGE 10
!৚෶ࣜ๻ቐ೐ /// !k ‫ؘ‬৚ࣜ๻ಹ !Ѣ!!oă‫ױ‬Ճዷट࿤෸ණ‫ߔ״‬ӡࣜ๻ಹ෫ຑ࿤෸‫و‬ಃுă !A!‫ٻ‬ሿ࿤෸‫ڶ‬Ӕ‫ڪ‬ !൥߷࿤෸ಹණ‫ืو‬ዖௗჾᆪ‫ڣ‬ǈᇘ৹ჾժฎ‫ٻ‬ሿ࿤෸‫ڶ‬Ӕ‫ڪ‬ă !2/! Ѣ!!Nc3)TZTUFN*!1)Dpousbtu*ă !•!‫ױ‬Ճዷट࿤෸‫ڶ‬Ӕ‫ٻڪ‬ሿಃுă !3/! ෳᅋ!!d!ࠧ!!e!‫ٻ‬ሿ࿤෸‫ڶ‬Ӕ‫ڪ‬ă !4/! ‫ޗ‬যၖე६ှષහ‫ڊ‬ቐࡍǈѢ!!Jă !ኢᄌ !࿤෸ࣜ๻ன෷Ե‫ة‬ǄѢ!!N!ऒ࿤෸ǅ෫ǈఀნ৹ჾෳᅋ!!d!ࠧ!!e!ੂ‫ٻ‬ሿ‫ڶ‬Ӕ‫ڪ‬ă !A!ߔӡࣜ๻ಹ !Ѣ!!1o)PGG*ă !k ऒӶࣝ ! % BIN [ !ࠉื!! !1 !mo! !2 !% !ऒӶࣝႡඇ!! !ეቖှࠉืǖ! Ѣ ! ‫ݡ‬ऒă!! Ѣ ! !!1ǈഹࡍѢ‫ݡ‬ऒă!! !֐ඇ! !3 !\! ࡆ ! ඇ! Ѣ ! !!SǈഹࡍѢ‫ݡ‬ऒă ! !4 !CJO! ଖ ! ඇ! ᇀ ! !CBTF.
PAGE 11
!A ࿤෸ܻࠟ !࿒எஐะ‫࢙ܻࠟو‬࿤෸ᇀࣜ๻ಹ‫و‬࿤෸ಹණቚ෸‫ص‬೐‫ࣜو‬๻ன෷Ăࣜ๻ಹහ‫ࣜࠧڊ‬๻ ६‫ٌٌڪ‬௠൛ă !సӫ‫و‬෸ઋಃு࿤෸!!7!ܻࠟă !ट‫)!ืڪ‬Efh*!ၭ‫ڊ‬ཛྷയෛ቗ऻ‫཭ةڪ‬Ǆٞ!22!ოǅ ෫ǈ!7!ܻ࢙ࠟ‫ؘ‬৚ă !ࣜ๻ன෷ࠧහ‫ڊ‬ !k ၭᇗࣜ๻ன෷ !ࣜ๻ಹᅘ!22!ቸĐࣜ๻ன෷đ ă !A ၭᇗࣜ๻ன෷ !2/! Ѣ!!Nă !•!‫ױ‬Ճዷट࿤෸ࣜ๻ன෷Ե‫ة‬ă৹ෳᅋ!!c!ࠧ!!f!ᇀԵ‫ة‬ಃு!2!ࠧಃு!3!ቐࣺ६ှ ೰ࡳă ! ಃு!2! ಃு!3 !3/! ቖှჾ࿒ქቸՃዷǈၭᇗၖე‫ࣜو‬๻ன෷ă !ეၭᇗ‫ࣜױ‬๻ன෷ǖ! !ኪባჾ࿒ಃுǖ! !ഹࡍѢჾ࿒ऒǖ!!!! !DPNQǄࣜ๻ǅ ! !1)DPNQ*! !CBTF.OǄࢱื!!ǅ! !2)CBTF.
PAGE 12
!k!ࣜ๻ಹහ‫ڊ‬ !ࣜ๻ಹහ‫ڊ‬৹ᅋੂైብพ൩ࠧพ‫־‬හ‫ڊ‬Ăࣜ๻Ըืࠧದດහ‫ڊ‬ă৹ෳᅋහ‫ڊ‬ಃுੂ ైብහ‫ڊ‬ǈ৹໼߹Ѣ!!1!!N)TFUVQ*!ੂ‫ོ܃‬හ‫ڊ‬ಃுăᅘ઩‫ޔ‬හ‫ڊ‬ಃுǈ৹ჾෳᅋ! !f!ࠧ!!c!ੂ೰ࡳሦ઩‫ޔ‬ಃுă ! !A!ၭᇗ࿤෸‫ޏ‬෷!)NuiJP-!MjofJP* !৹‫ڶ‬พ൩‫و‬ӹؕ෷ࠧࣜ๻ॕ߷ၭᇗಗ໼࿤෸!)NuiJP*!ࢪ࿯၂࿤෸!)MjofJP*ă !ಗ໼࿤෸!)NuiJP* !ಗ໼࿤෸৹Ѣሙ‫ืܖ‬Ă౿‫ޗ۽‬Ăཔ‫ܖ‬Ăࢵ‫ܖ‬ĂቚืĂ‫ࠧืڶ‬ದດืၳӹؕ෷‫و‬รஎြ ෷ࣩჾ࿤෸ă‫ޏױ‬෷৹ᄮᅋᅢพ൩ӹؕ෷ࠧࣜ๻ॕ߷ăၭ‫ڊ‬ಗ໼࿤෸෫ǈटᇀ৹௢‫و‬ ഉਦ࿒ෳᅋ‫ืܖ‬Ă౿‫!!ࢪޗ۽‬π!ܻࠟ࿤෸ࣜ๻ॕ߷ă !2 ǈۚ!! !Ģ!4!࢙դූॕ߷ !! !2 !! ă !ઋ൥ǈࣜ๻!2!Ģ!3!࢙դූॕ߷!! π π 3! 4! !࿯၂࿤෸!)MjofJP* !ᇀ࿯၂࿤෸ഉਦ࿒ǈटෳᅋࣜ๻ಹ‫ڊ‬ᄏ‫و‬໎ผ‫ޏ‬෷พ൩ࠧ࿤෸ӹؕ෷ჾࣆࠉืă !2 !टพ൩ཛྷ!2!! !3ǈۚ!mph! !ઋ൥ǈ! { 3!5!टพ
PAGE 13
!A!ቚ‫ڊ‬࿤෸཭ื !ቚ‫ڊ‬ჾ࿒࿤෸཭ืහ‫ڊ‬ǖ!!! !ቖှჾ࿒ऒՃዷǖ! !ဏื཭ื! !1N6)Gjy*!0)1*!‫!!ف‬9):*! !ᅘပ཭ื! !1N7)Tdj*!1)2*!‫!!ف‬9):*-!!0)21*! !ቚื࿤෸۶ཙ! !1N8)Opsn*!1)Opsn2*!ࢪ! !2)Opsn3*! !ჾ࿒௠൛ํடࣜ๻ॕ߷൥ࠨ‫ޗ‬যቚ‫وڊ‬හ‫ੂڊ‬࿤෸ă !•!‫ޗ‬যቚ‫وڊ‬ဏื཭ื!)Gjy*!ੂ࿤෸!1!‫!ف‬:!‫ޔ‬ဏื཭ăࣜ๻ॕ߷࢙๜ලྗ൩ཛྷቚ‫཭وڊ‬ ืă !෸ઋǖ211!Ģ!8!>!25/397! )Gjy!>!4* ! 25/3:!!!!)Gjy!>!3* !•!ᇀෳᅋ!Tdj!ቚ‫ڊ‬ᅘပ཭ืࡍǈट໼߹ෳᅋቚ‫وڊ‬ᅘပ཭ืࠧ!21!‫و‬คᅋ֓‫ੂ۽‬࿤෸ࣜ ๻ॕ߷ăࣜ๻ॕ߷࢙๜ලྗ൩ཛྷቚ‫ื཭وڊ‬ă –2! !෸ઋǖ2!Ģ!8!>!2/5397!ġ!21! ! )Tdj!>!6* –2! ! 2/53:!ġ!21! ! )Tdj!>!5* !•!ၭᇗ!Opsn2!ࢪ!Opsn3!࢙‫ـ‬ቤ‫ص‬ॕ߷཭ᅢჾ࿒‫ڊ‬ᄏ‫و‬۶ཙቐ௠෫࿤෸࢙೰
PAGE 14
!A ቚ‫ืݒڊ‬࿤෸‫ޏ‬෷ !৹‫ࣜืݒڶ‬๻ॕ߷ቚ‫ڊ‬ቓऻዸӶ‫ޏ‬෷ࢪࣁዸӶ‫ޏ‬෷ă !ཛྷࣜ๻ॕ߷࿤෸ቚ‫ڊ‬ჾ࿒‫ޏืݒ‬෷ǖ! !ቖှჾ࿒ऒՃዷǖ! !ቓऻዸӶ! !1Nc4)DPNQMY*!1)!a,!bi*!! !ࣁዸӶ! !1Nc4)DPNQMY*!2)!r∠Ƨ*! !ၭ‫ࣁڊ‬ዸӶ‫ޏ‬෷෫ǈԥ௢ෳᅋ!FOH!ӰࡳǄٞ!63!ოǅ ă ! !A ቚ‫ڊ‬༇ࣜ౷ଔහ‫ڊ‬ !৹ෳᅋჾ࿒ऒՃዷᇀ!TE!ன෷ࠧ!SFH!ன෷ࣜ๻Ǆٞ!81!ოǅಜࣺ‫ؘ‬৚ࢪߔӡ༇ࣜ౷ଔă !ၭᇗჾ࿒౷ଔහ‫ڊ‬ǖ! !ቖှჾ࿒ऒՃዷǖ! !‫ؘ‬৚౷ଔ! !1Nc5)TUBU*!1)GsfrPo*! !ߔӡ౷ଔ! !1Nc5)TUBU*!2)GsfrPgg*! !A Ӱ‫!ޚ‬CBTF.O!ன෷‫ݘ‬቗හ‫ڊ‬ !৹ෳᅋჾ࿒ऒՃዷᇀ!CBTF.O!ன෷ቲಶᅋࢪ९ᅋ‫ݘ‬቗ă !ቚ‫ڊ‬ჾ࿒හ‫ڊ‬ǖ! !ቖှჾ࿒ऒՃዷǖ! !ಶᅋ‫ݘ‬቗! !1Nc6)CBTF.O*!1)Tjhofe*! !९ᅋ‫ݘ‬቗! !1Nc6)CBTF.
PAGE 15
!ෳᅋ‫ޢ‬௢Ե‫ة‬ !‫ޢ‬௢Ե‫ة‬ෳఀ௢޷‫ޕོ܃‬ቸืၳࠉืĂத૚ĂիืĂܻࠟࠧದດ໎ผՃዷă !A!࿤෸‫ޢ‬௢Ե‫ة‬ !Ѣ!!zăઋ൥ǈჾ࿒࿤෸‫ޢو‬௢Ե‫࢙ة‬ᇀ!DPNQ!ன෷࿒Ѣ!!z!෫࿤෸ă ! !A!༟‫ޢ־‬௢Ե‫ة‬ !Ѣ!!Jă !พ൩ࣜ๻ӹؕ෷ࠧ቗ !k!พ൩ࣜ๻ӹؕ෷Ǆಗ໼พ൩ǅ !ࣜ๻ಹ‫و‬ಗ໼พ൩࿅༇ෳఀ௢޷໼߹Ѣ!!E!ჾࣜ๻ӹؕ෷‫و‬รஎ‫ޏ‬෷พ൩ࠧቖှࣜ๻ ӹؕ෷ăࣜ๻ಹ࢙ዔ‫ڑ‬വ‫ࣩڊ‬ĂऋĂ֓Ă‫ׅ‬Ă‫ࠧืܖ‬ਸ਼ࠟ‫و‬ቁവᅍ࿘๋ၠă !෸ઋǖ!!3!)6!,!5*!–!3!ġ!)–4*!> b 2(5+4)2*-3E A!พ൩‫؞‬ਸ਼ࠟ‫و‬৶࣒ࠉืǄtjoĂdpt!ࠧ!!'!ٌٌǅă !ࣜ๻ಹ቉֞พ൩൥࿒‫؞‬ਸ਼ࠟ‫و‬৶࣒ࠉืăኢᄌǖพ൩ዔӰફࡍǈၖეѢ!!)!ߔӡਸ਼ࠟă –2! –2! –2! –2! –2! –2! t! jo)-!dpt)-!ubo)-!tjo! )-!dpt! )-!ubo! )-!tjoi)-!dpti)-!uboi)-!tjoi! )-!dpti! )-!uboi! )-!mph)-!m
PAGE 16
!A ࡐଞ֓ࠟ !ᇀჾ࿒ഉਦ࿒ǈ৹ჾࡐଞ֓ࠟă !•!ࡍஎቓे‫ޘ‬৚ਸ਼ࠟǖ3!!ġ!)6!,!5* !•!ࡍஎቓे‫؞ޘ‬ਸ਼ࠟ‫و‬৶࣒ࠉืǖ3!!ġ!tjo)41*-!3!!ġ!' ! )4* !•!ࡍஎቓे‫ޘ‬೐ብܻࠟǄ‫ׅࠟݘ‬༶ǅ ǖ3!!ġ!i234 !•!ࡍ‫ޘ‬Ӱફண֎Ăիืࢪ๾ࢲืǖ31!!ġ!B-!3!!ġ!π ! -!3!!ġ!i! !A ዮࡍ‫ߔو‬ਸ਼ࠟ !ᇀѢ!!w!ऒ෫ǈ৹ჾࡐଞࣜ๻யཤ‫و‬ქ‫ޔۂࢪޔ‬ӡࠩਸ਼ࠟă !෸ઋǖ!!)3!,!4*!)5!–!2*!>!26 b (2+3) (4-1E !A ࣜ๻ӹؕ෷ࡳှǄ࿯၂࿤෸ǅ !ෳᅋ࿯၂࿤෸෫ǈլᅢ!27!‫ޔ‬ዖܻǄืዖĂዖாࠧᆱ๻ዓǅ‫ࣜو‬๻ӹؕ෷࢙ዔ‫ࡳڑ‬ှ‫ف‬ ࿒ქှă !෸ઋǖ!!23456789:!,!23456789:!>!357:24689 b 123456789+ 123456789E A!พ൩ዖܻืǄዖॎืǅ ! พ൩ืၳӹؕ෷෫ǈດ࢙،‫׈‬ᇀ֎ቐཛྷĐพ൩ഘᅺđ‫و‬،‫׈‬ಹቲǈ ‫ص‬ Đพ൩ഘᅺđ‫و‬൛ ફཛྷ!238!‫ޔ‬ዖॎăሦᄌཨዅ৹ჾ‫ืޔةڶ‬ၳӹؕ෷ዮ‫ۂ‬พ൩!23
PAGE 17
!k ෳᅋಗ໼࿤෸ !ၭ‫ڊ‬ಗ໼࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫Ǆٞ!22!ოǅ ǈ৹Ѣሙ‫ࠧืܖ‬ქဗ৶࣒ࠉื‫و‬รஎ‫ޏ‬෷ࣩ ჾพ൩ă !A!ಗ໼࿤෸ࢱ‫ׇ‬ !࿒ӹ઼‫־‬ષ৹ෳᅋಗ໼࿤෸‫ޏ‬෷พ൩‫و‬৶࣒ࠉื੮ျă !•!+2!઼࿤෸୧‫ޔ‬৶࣒ࠉืෳᅋ‫و‬،‫׈‬ಹዖॎืăഋԸሙĐพ൩ዖܻืǄዖॎืǅ đǄٞ! 26!ოǅჾࢩട‫ྲဳۂޚ‬ă •!!ᅘߔ!+3!઼‫ྲဳو‬ǈഋԸሙĐᅋ቗ࠧӹؕ෷ዷዔӰફđ Ǆٞ!28!ოǅ ă !቉֞ಗ໼࿤෸‫و‬৶࣒ࠉื !ࠉื!! !࣯‫!!ืܖ‬ !+2!! !+3!! !' !ऒՃዷ!! !:! ก ! ! !‫!ืܖ؞‬ !1')!(*! !25! ܱ ! ! !mph)b-c*! !z!–!|NBUI~!c7)mphbc*! !8! ก ! ! !21_!x !1l)!$*! !5! ก ! ! !e_!x !1i)!%*! !5! ก ! ! !౿‫!*'!)!ޗ۽‬ !! !5! ก ! ! !઎‫!*'!)!ޗ۽‬ !1()!#*! !:! ก ! ! !౿‫!۽‬ !x !5
PAGE 18
!ෳᅋಗ໼࿤෸พ൩ࣜ๻ӹؕ෷ !2/! ეพ൩ቚ‫ืࠉڊ‬ǈഋቖှĐ቉֞ಗ໼࿤෸‫و‬৶࣒ࠉืđӹ‫و‬ĐऒՃዷđ઼ቲ‫و‬Ճዷă !3/! ᇀ!! !ӹ෸‫و‬พ൩ዖ‫׌ڰ‬พ൩ຑၖ‫و‬቗ࠧӹؕ෷ă !•!ෳᅋߞӶऒੂᇀӹؕ෷‫و‬พ൩ዖ‫ڰ‬ቐࣺ६ှჰ‫ڑ‬ă !෸ઋǖ!!พ൩! 2!,!3 × 3! !4 B ! ቚ‫ืܖڊ‬พ൩ǖ! พ൩‫ܖ‬ዓǖ! टߞӶჰ‫ܖفڑ‬ாǖ! พ൩‫ܖ‬ாǖ! ቖှࣜ๻ǖ! ! ' ! +2 1 ! c ! *3 2 ! E !ቺე෼࿾ƽ !•!ஹဗ੮ျ‫و‬ӹؕ෷৹௢࢙‫ـ‬ቤࣜ๻ާ෷‫ݽڪݽو‬ᅢ࿤෸ှăࣜ๻ާ෷‫و‬ዮ‫ؙ‬ᆰၛ‫ݽ‬ ‫ڪ‬ཛྷ઩‫ޔ‬࿤෸ಹಃுǄ42!٧!ġ!3ǅ ă൥߷พ൩‫ࣜو‬๻‫ڪݽو‬մ߹ᆰၛ࿮ቨǈᇘྐۨ ࣢ၦพ൩ă !•!ᆰၛೖໍࠉืࠧਸ਼ࠟă൥߷ೖໍ߹‫ ࠧืࠉوۂ‬0 ࢪਸ਼ࠟǈᇘྐۨ࣢ၦพ൩ă൥߷ۢූ ሦቸഉਦǈᇘ৹टࣜ๻ࡦ‫ܖ‬ཛྷ‫ޔۂ‬ԩ‫ܖ‬ഹࡍ‫ܖ‬Ӽࣜ๻୧‫ޔ‬ԩ‫ܖ‬ă !A ဂዳࠧဂᅚ߲‫ڑ‬ಃு !ෳᅋಗ໼࿤෸६ှพ൩෫ǈಃுዮ‫ۂ‬࿤෸!25!‫ޔ‬ዖܻă‫ص‬พ൩‫و‬ዖܻืմ߹!25!‫ޔ‬෫ǈ
PAGE 19
! !ኢᄌ !•!ԥกຑᅘಗ໼࿤෸ࠉื‫ڞ‬ก৹Տ൩‫و‬ăቝᅘĐ቉֞ಗ໼࿤෸‫و‬৶࣒ࠉืđ Ǆٞ!27!ოǅ ӹቲ࿤෸Đกđ‫઼و‬ቲ‫و‬৶࣒ࠉืԯ৹Տ൩ă !•!ߞӶ৹ჾ२૆‫؞‬ਸ਼ࠟ‫و‬ӹؕ෷Ăืዖ቗ࢪ‫وืܖ‬ዳՊăՏ൩৹Տ൩ࠉืटෳ‫؞‬ਸ਼ࠟ ‫و‬ӹؕ෷Ă቗ࢪ‫֑ืܖ‬ཛྷӇՏ൩ࠉื‫و‬ዔӰફă !•!൥߷ߞӶ२૆৶࣒ࠉื‫و‬ዳՊǈᇘሿ‫ืࠉޔ‬ट֑ཛྷՏ൩ࠉื‫و‬ዔӰફă ! !k Ӭࣃࣜ๻ !A Տ൩ன෷ࠧ‫ݥݐ‬ன෷ !ӊࣜ๻ಹᅘ઩‫ޔ‬พ൩ன෷ăՏ൩ன෷࢙ᇀߞӶ཭ብՏ൩พ൩ǈԌ࢙टຑᅘ௠൛ჰ‫ߞف‬ ӶᅚՊჾਅ‫཭־‬ብă‫ݥݐ‬ன෷࢙टߞӶ཭ብ‫و‬ऒՃዷໜࡳཛྷఀ‫و‬พ൩ă !ၭ‫ڊ‬ಗ໼࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫ǈቝᅘՏ൩ன෷৹‫ޥ‬ෳᅋăԥ௢Ӱ‫ޚ‬ཛྷ‫ݥݐ‬ன෷ăၭ‫ڊ‬ ࿯၂࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫ǈ৹ၭᇗՏ൩ன෷ࢪ‫ݥݐ‬ன෷ੂ६ှพ൩ă !! !Տ൩ன෷!! !‫ݥݐ‬ன෷!! !Ѣ!!!+ !ᆓ෶ӹؕ෷!! ! ! !ߞӶ! ! ! !ߞӶ! *!ӹ෸‫ݥݐ‬ன෷ă !ิ໫ߞӶ!)!|*!ӹ෸Տ൩ன෷ǈ࠻໫ߞӶ!)!!! !ၭᇗพ൩ன෷ !ֽ෶യෛพ൩
PAGE 20
!A!ක‫ׅ‬ऒՃዷ !ᇀՏ൩ன෷࿒ǈ৹ෳᅋ!!d!ࠧ!!e!टߞӶჰ‫ླفڑ‬ཏක‫وׅ‬ऒՃዷ‫و‬ᅚՊǈഹࡍѢ! !Yăᇀ‫ݥݐ‬ன෷࿒ǈ৹टߞӶჰ‫ླفڑ‬ཏක‫وׅ‬ऒՃዷ‫׌‬ǈഹࡍѢ!!Yă୧‫״‬Ѣ!!Y! ‫࢙ڞ‬ක‫ׅ‬ქ‫ޔ‬ऒՃዷă !෸ઋǖ!ट!47:!ġ!ġ!23!‫ޚ‬ቁཛྷ!47:!ġ!23 !Տ൩ன෷ Bb 369**12 dd Y !‫ݥݐ‬ன෷ b 369**12 ddd Y !A!Ӭࣃӹؕ෷௠‫و‬ऒՃዷ !ᇀՏ൩ன෷࿒ǈ৹ෳᅋ!!d!ࠧ!!e!टߞӶჰ‫ླفڑ‬ཏӬࣃ‫و‬ऒՃዷ‫و‬ᅚՊǈᆿѢ!!Y! ੂක‫ݡׅ‬ऒՃዷǈഹࡍቖှቁവ‫و‬ऒՃዷăᇀ‫ݥݐ‬ன෷࿒ǈ৹टߞӶჰ‫ླفڑ‬ཏ‫ޚ‬ቁ ‫و‬ऒՃዷ‫׌‬ǈഹࡍቖှቁവ‫و‬ऒՃዷă !෸ઋǖ!ट!dpt)71*!‫ޚ‬ቁཛྷ!tjo)71* !Տ൩ன෷ Bb c60) dddY s !‫ݥݐ‬ன෷ b c60) dddd Ck-19
PAGE 21
s !A!टऒՃዷՏ൩‫ف‬ӹؕ෷ቲ !ᇀླཏटऒՃዷՏ൩‫ف‬ӹؕ෷ቲ෫ǈྣӤၭᇗՏ൩ன෷ă৹ෳᅋ!!d!ࠧ!!e!टߞӶჰ ‫ླفڑ‬ཏՏ൩ऒՃዷ‫཭و‬ብഹࡍቖှऒՃዷă !k!Փሖؓྥ཭ብ !൥߷ࣜ๻ӹؕ෷ԥቁവǈ ᇘ‫ص‬Ѣ!!E!ቖှࣜ๻ӹؕ෷෫ǈ ट࢙ᇀ࿤෸ಹණ࿤෸ؓྥဳྲă ᇀ࿤෸ؓྥဳྲࡍѢ!!JĂ!d!ࢪ!!e!ऒट࢙‫ـ‬ቤߞӶ໮‫ـف‬ቤؓྥ‫ࣜو‬๻ቲ‫཭و‬ብ ‫׌‬ǈჾӯఀ௢޷‫ޚ‬ቁؓྥă !෸ઋǖ!!‫ص‬พ൩!25!Ģ!1!ġ!3!>!ۚԥกพ൩!25!Ģ!6!ġ!3!>!෫Ǆჾ࿒෸ઋෳᅋՏ൩ன෷ǅ ă b 14/0*2E Ǆࢪ!!!e-!!!dǅ! J! !ؓྥ཭ብ D5 E !•!‫ص‬࿤෸ؓྥဳྲ෫‫ׅ‬ષѢ!!JĂ!e!ࢪ!!d!Փሖؓྥ‫཭و‬ብǈࡱ৹ჾѢ!!o!അ‫ׅࣜ‬ ๻ă !ၭ‫ڊ‬ಗ໼࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫࿤෸!21!६ ቨॕ߷ !‫ص‬ၭ‫ڊ‬ષಗ໼࿤෸෫ǈѢ!!E!ቖှࣜ๻ट࢙ჾಗ໼‫ޏ‬෷࿤෸ॕ߷ăѢ!!1E!ट࢙ቖ ှࣜ๻Ԍჾဏื‫ޏ‬෷࿤෸ॕ߷ă! !ෳᅋჾ࿒‫ޏ‬෷࿤෸ॕ߷ǖ! !ቖှჾ࿒ऒՃዷǖ! !ಗ໼‫ޏ‬෷! !E
PAGE 22
!ኢᄌ !ၭᇗ࿯၂࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫ǈԥߘѢ!!E!ࢪ!!1Eǈোෳᅋ࿯၂Ǆဏืǅ‫ޏ‬෷࿤෸ ቖှ‫ࣜو‬๻ă !k!ࣜ๻෸ઋ !෸ઋǖ!!' ! 3!,!' 9!>!4!' 3 B !2e+!8E !ჾဏื‫ޏ‬෷ූ֑ॕ߷ǖ !2e+!81E !ෳᅋ!!f!ऒ!ǄT.E!Ӱࡳǅ !৹ჾෳᅋ!!f!ऒᇀဏื!)E*!ࠧӶኼ!)T*!‫ޏ‬෷Ǆ‫ืܖ‬Ă!'!ࠧ!!πǅቐࣺӰࡳ቗ă !ቺე෼࿾ƽ !•!‫ޗ‬যѢ!!f!ऒ෫࿤෸ಹණ‫ࣜو‬๻ॕ߷੮ျǈӰࡳ߹֔৹௢ၖეࡠܑქဗ෫ࣺੂቖှă !•!‫ڶ‬ᅢஹဗࣜ๻ॕ߷ǈѢ!!f!ऒԥ࢙Ӱࡳ࿤෸‫و‬቗ă !k!T.
PAGE 23
!ኢᄌ •!!୧‫״‬Ѣ!!f!ऒ৹ᇀ઩ቸ‫ޏ‬෷ቐࣺ೰ࡳ࿤෸‫و‬ॕ߷ă !•!‫ޏوืܖ‬෷ടৈᅢ‫ص‬೐ၭ‫ืܖوڊ‬࿤෸‫ޏ‬෷Ǆ࣯‫ืܖ؞ࢪืܖ‬ǅ Ǆٞ!23!ოǅ ă !෸ઋ!3ǖ!ၭ‫ڊ‬ಗ໼࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫ǈቖှࣜ๻!222!Ģ!44ǈഹࡍटॕ߷Ӱࡳཛྷဏื ‫ޏ‬෷! !B 111/33E f f !෸ઋ!4ǖ!ၭ‫ڊ‬ಗ໼࿤෸ዷཛྷ࿤෸‫ޏ‬෷෫ǈ൥࿒ຑ෸ቖှ!!π!ࣜ๻ǈഹࡍटॕ߷Ӱࡳཛྷဏ ื‫ޏ‬෷ !B 15)!!π*!!*'2c5E f !ࢱӊᆱ๻ !‫܇ׅ‬૙ᅘํடǈ ৹ჾᇀൌᄌࣜ๻ಹࣜ๻ன෷࿒ǈ ቖှӊॎቲ‫ࣜو‬๻ǈ ‫!د‬CBTF.
PAGE 24
!෸ઋ!2ǖ!3/6!,!2!–!3!>!2/6 b 2.
PAGE 25
!A ‫ࣜืܖ‬๻෸ઋ !2 !>!!! !8 ! !෸ઋ!2ǖ!!!3! !,!!! 4! 3! 7! B '2c3 e+ '1c2 E b 2'3+1'2 E !2 !,!2!! !3 !>!5!!!2!!2 Ǆ‫ืܖ‬࿤෸‫ޏ‬෷ǖbc0dǅ !෸ઋ!3ǖ!4 !! 5! 4! 2!!3 ! b 3'1'4+ 1'2'3E B 1')!!(*!!3e1c4e+ 1')!!(*!!1e2c3E Ck-24
PAGE 26
!ኢᄌ •!!൥߷ዩ֑‫ืܖ؞‬ӹؕ෷‫و‬ᆐ๰Ǆሿื཭!,!‫ܖ‬ዓ཭!,!‫ܖ‬ா཭!,!‫ܻޒܖ‬ǅዜื‫ؙ‬ᅢ!21ǈ ᇘटჾဏื‫ޏ‬෷࿤෸ࣜ๻ॕ߷ă !•!൥߷พ൩ࣜ๻ༀ෫Ҫਸ਼‫ࠧืܖ‬ဏื቗ǈᇘटჾဏื‫ޏ‬෷࿤෸ॕ߷ă •!!ఀቝ௢ཛྷ‫وืܖ‬ᆐ๰พ൩ሿืă !A!ᇀ࣯‫ޏืܖ؞ࠧืܖ‬෷ቐࣺ೰ࡳ c e *ă !ეट࣯‫ืܖ‬Ӱࡳཛྷ‫ืܖ؞‬Ǆࢪट‫ืܖ؞‬Ӱࡳཛྷ࣯‫ืܖ‬ǅ ǈѢ!!1f) b!Ċ! d ⇔!Ċ d !A!ᇀ‫ࠧืܖ‬ဏื‫ޏ‬෷ቐࣺ೰ࡳ !ෳᅋჾ࿒߹֔ᇀ‫ࠧืܖ‬ဏื‫ޏ‬෷ቐࣺǈ೰ࡳ࿤෸‫ࣜو‬๻ॕ߷ă !4 -!!!! !4 !>!2/6 !෸ઋǖ!2/6!>!!! 3! 3! b 1.
PAGE 27
!෸ઋ!3ǖ!261!ġ!31&!>!41!!!!!)261!ġ !!3! !! !1 * 2!!11 ! 150*201,(%)!!E !෸ઋ!4ǖ!771!ก!991!‫ܖ҇و‬ቐ࣎Ǜ 660/880 1,(%)!!E !෸ઋ!5ǖ!ट!3611!ᇜࣩ!26&ă 2500+2500* 151,(%)!!E ! !෸ઋ!6ǖ!ट!4611!ऋඵ!36&ă 3500-3500* 251,(%)!!E !k ‫ܖڪ‬ஓǄ71!६ቨǅࣜ๻ !৹ቖှෳᅋ!71!६ቨื቗‫ࣜو‬๻ǈԌೲ৹ჾᇀ!71!६ቨࠧ!21!६ቨቐࣺ६ှӰࡳă !A พ൩!71!६ቨื቗ !ჾ࿒กพ൩!71!६ቨื቗‫ࢱو‬ӊশۨă !| ‫!~ ڪ‬$| ‫!~ ܖ‬$| ஓ ~!$ !෸ઋǖ!พ൩!3°41´41˝ b 2e30e30eE !•!ኢᄌǖ࣊ෳ቗ཛྷ!1ǈნӤၙ෶ቷཛྷ‫ܖࠧڪ‬พ൩௠൛ă !෸ઋǖพ൩!1°11´41˝ǈѢ!!0$0$30$ă Ck-26
PAGE 28
!A!71!६ቨࣜ๻෸ઋ !•!ჾ࿒੮ျ‫!و‬71!६ቨࣜ๻टդූ!71!६ቨॕ߷ă !.!઩‫!ޔ‬71!६ቨื቗‫ࢪࣩو‬ऋ !.!71!६ቨ቗ࠧ!21!६ቨ቗‫ׅࢪ֓و‬ !෸ઋ!2ǖ!3°31´41˝!,!4:´41˝!>!4°11´11˝ b 2e20e30e+ 0e39e30eE !෸ઋ!3ǖ!3°31´11˝!ġ!4/6!>!9°21´11˝ b 2e20e* 3.5E !A ቖှ!21!६ቨࣜ๻ჾࢩട!71!६ቨॕ߷ !৹ჾෳᅋĐ!'ENTđத૚ቖှ!21!६ቨࣜ๻ࠧࢩട!71!६ቨॕ߷ă Đ!'ENTđத૚ቝ௢ᇀ! DPNQ!ன෷࿒ෳᅋă !෸ઋǖ!ቖှࣜ๻!211!Ģ!4ǈෳದդූ!71!६ቨॕ߷ b 100/3E z – {ANGLE}4(!!'DMS)!!E !A ᇀ!71!६ቨࠧ!21!६ቨቐࣺӰࡳ !ᇀ࿤෸ࣜ๻ॕ߷෫ǈѢ!!$!ट࢙ᇀ!71!६ቨࠧ!21!६ቨቐࣺ೰ࡳă !෸ઋǖ!ट!3/366!Ӱࡳཛྷ!71!६ቨ b 2.
PAGE 29
!ࣜ๻଎ઈࠧቺ‫܅‬ !৹ᇀ!DPNQ!ࠧ!CBTF.
PAGE 30
d YYYY -7.
PAGE 31
E E !ኢᄌ !•!‫ص‬ቖှ‫ۂ‬ቺᅷশࣜ๻ᄜ!!^!‫ܻۚޒܖ‬ᇃ໷෫ǈट࢙ᇀ࿤෸ಹ‫و‬ᅚණऻ࿤෸!!Q!ܻࠟă !•!ቖှ‫ۂ‬ቺᅷশࣜ๻෫ǈ ୧‫ۂ֑޵״‬ቺᅷশ‫و‬ൌᄌᅷশդූॕ߷෫!BotǄ‫ؖ‬Ѧ،‫׈‬ಹǅ Ǆٞ! 42!ოǅ‫ူޚ࢙ڞ‬ă !•!৹ჾᇀༀქࣜ๻ቲࢤࠩෳᅋĐ!^!đࠧĐ;đ‫ܻޒܖ‬ă !ࣜ๻ಹ،‫׈‬ಹՃዷ !ӊࣜ๻ಹҪࠆჾ࿒ຑะ‫و‬،‫׈‬ಹ੮ျǈ৹ჾᅋੂ،‫ٻࠧ׈‬ᅋ቗ă !،‫׈‬ಹண֎!! !ஐะ!! !‫ؖ‬Ѧ،‫׈‬ಹ! ‫ؖ‬ ! Ѧ،‫׈‬ಹҪࠆණ‫״‬ቖှ‫ࣜو‬๻‫و‬ॕ߷ă ! !‫ڢ‬઎،‫׈‬ಹ! ‫ص‬ ! ࣩࢪऋ‫ࣜޔۂ‬๻ॕ߷෫ǈ‫ڢ‬઎،‫׈‬ಹ‫܇‬ի‫۽‬ӯă ! !Ӱફ! ! ‫ܖ‬Ӽဂዖா!B!‫![!ف‬ቚ‫ڊ‬ԥༀ‫و‬቗Ԍᇀࣜ๻ቲෳᅋດ୯ăኢ ৹ ᄌǖӰફ!N!ნ৹ᅋᅢ،‫ڢ׈‬઎،‫׈‬ಹ቗ă ! !‫ې‬༶Ӱફ! ! ၖე،‫!׹׈‬B!‫!و![!ف‬37!‫ޔ‬ዖாቐ༶‫ۂޚو‬቗෫ǈ৹ჾ‫ך‬ ‫ص‬ ज‫ې‬༶Ӱફăዮ‫ۂ‬৹ჾүૠ!3483!‫ېޔ‬༶Ӱફǈದதணཛྷ![\2^! ࠧ!
PAGE 32
!k ෳᅋ‫ؖ‬Ѧ،‫׈‬ಹ!)Bot* !ᇀࣜ๻ಹණቖှ‫و‬ຑᅘူࣜ๻‫و‬ॕ߷ǈዔ‫ڑ‬،‫׈‬ᇀ‫ؖ‬Ѧ،‫׈‬ಹ!)Bot*!ቲă !A ᇀઘၦࣜ๻ቲዔ‫ڑ‬Տ൩!Bot !൥߷ᇀ࿤෸ಹණ൒ഹ࿤෸ᅘ࿘೐‫ࣜو‬๻ॕ߷෫ǈ৚෶ူ‫ࣜو‬๻ǈᇘࣜ๻ಹዔ‫ڑ‬ᇀူࣜ ๻‫و‬ค‫཭ص‬ብՏ൩!Botă! !෸ઋ!2ǖ!ෳᅋ!4!ġ!5!‫و‬ॕ߷‫ׅ‬ჾ!41 b 3*4E Ǆഹࡍǅ ! /30E !Ѣ!!/!टዔ‫ڑ‬พ൩!Botă 2 2 !෸ઋ!3ǖ!വ‫!ڊ‬4!!,!5! ‫و‬ॕ߷‫و‬౿‫ޗ۽‬ b 3x+4xE !E !ኢᄌ !•!ᇀණะ෸ઋቲǈ‫ص‬࿤෸ಹණ࿤෸ࣜ๻ॕ߷෫ǈࣜ๻ಹ࢙ዔ‫ڑ‬ट!Bot!ዷཛྷຑพ൩‫و‬ຑ ᅘࣜ๻ᆱ๻ዓࢪ৶࣒ࠉื‫و‬ዔӰફՏ൩ă !•!ᇀࠉื‫؞‬ᅘ঱ᅘਸ਼ࠟ‫و‬ዔӰફ‫و‬ഉਦ࿒Ǆٞ!25!ოǅ ǈ४‫ڢةص‬พ൩ࠉืഹࡍѢ!!E! ෫!Bot!ԯ࢙ዔ‫֑ڑ‬ཛྷዔӰફă‫د‬กǈኢᄌෳᅋಗ໼࿤෸෫ǈ൥߷ෳᅋ‫؞‬ᅘਸ਼ࠟ‫ืࠉو‬ǈ ᇘ!Bot!৹௢ԥ࢙ዔ‫֑ڑ‬ཛྷዔӰફă !•!ࢱӊණǈ४‫ص‬࿤෸ಹණ൒ഹ࿤෸࿘೐‫ࣜو‬๻ॕ߷෫ǈԯ࢙ዔ
PAGE 33
!A!ฐ‫ڑ‬ट!Bot!Տ൩‫ࣜف‬๻ቲ !৹ჾ໼߹Ѣ!!1-)Bot*!ᇀ‫ص‬೐‫ߞو‬Ӷ཭ብट!Bot!Տ൩‫ࣜف‬๻ቲă! !෸ઋ!2ǖ!ეᇀ૙ქ‫ࣜޔ‬๻ቲෳᅋ!234!,!567!‫و‬ॕ߷ǈ൥࿒ຑ෸ 234!,!567!>!68:!!!!!!89:! –!68:!>!321 b 123+456E 789-1-(Ans)E 2 2 !෸ઋ!3ǖ!!ეവ‫!ڊ‬4!!,!5!!‫و‬౿‫ޗ۽‬ǈഹࡍဂॕ߷ࣩ!6 b 3x+4xE !1-(Ans))+5E !k ෳᅋ‫ڢ‬઎،‫׈‬ಹ !‫ڢ‬઎،‫׈‬ಹ!)N*!ኙეᅋᅢࣜ๻੩ࢵዜࠧă !A ໣ࣩ‫ڢف‬઎،‫׈‬ಹ !‫ص‬࿤෸ಹණ࿤෸พ൩‫و‬቗ࢪࣜ๻ॕ߷෫ǈѢ!!l!टದ໣ࣩ‫ڢف‬઎،‫׈‬ಹ!)N*!ቲă !෸ઋǖ!ट!216!Ģ!4!‫و‬ॕ߷໣ࣩ‫ڢف‬઎،‫׈‬ಹ!)N* b 105/3l !A!‫ڢ׹‬઎،‫׈‬ಹቲണ‫ׅ‬ !‫ص‬࿤෸ಹණ࿤෸พ൩‫و‬቗ࢪࣜ๻ॕ߷෫ǈѢ!!1l)N–*!‫ڢ׹‬઎،‫׈‬ಹ!)N*!ቲണ‫ׅ‬቗ ࢪॕ߷ă Ck-32
PAGE 34
!෸ઋǖ!‫ڢ׹‬઎،‫׈‬ಹ!)N*!ቲണ‫!ׅ‬4!ġ!3!‫و‬ॕ߷ b 3*21l(M–) !ኢᄌ !‫ص‬࿤෸ಹණ࿤෸ࣜ๻ॕ߷෫ǈѢ!!l!ࢪ!!1l)Nǉ*!࢙टॕ߷໣ࣩ‫ڢف‬઎،‫׈‬ಹቲࢪ ‫ڢ׹‬઎،‫׈‬ಹቲണ‫ׅ‬ॕ߷ă !ቺე෼࿾ƽ! !‫ص‬ᇀࣜ๻ॕา෫ǈԥѢ!!E!ۚกѢ!!l!ࢪ!!1l)Nǉ*!෫ǈ࿤෸ಹණ࿤෸‫و‬቗กࣜ ๻‫و‬ॕ߷Ǆ‫ݡ‬ॕ߷࢙໣ࣩ‫ڢف‬઎،‫׈‬ಹቲࢪ‫ڢ׹‬઎،‫׈‬ಹቲണ‫ׅ‬ǅ ăດԥก‫ڢ‬઎،‫׈‬ಹ ቲ‫صو‬೐௠൛ă !A!Փ৤‫ڢ‬઎،‫׈‬ಹ௠൛ !Ѣ!!~9)N*ă !A!അ‫ڢׅ‬઎،‫׈‬ಹ௠൛Ǆഅ‫ׅ‬ཛྷ!1ǅ !01~)TUP*9)N* !A!ෳᅋ‫ڢ‬઎،‫׈‬ಹ‫ࣜو‬๻෸ઋ !ᇀቖှჾ࿒Ճዷቐ೐ǈѢ!!01~)TUP*9)N*!അ‫ڢׅ‬઎،‫׈‬ಹ௠൛ă ! 3+9m 2 !෸ઋǖ!! ! 34!Ǉ!:!>!43! ! ! 64!ǉ!7!>!58! ! 3-6m 5 ! ǉ *! 56!ġ!3!>!:1! ! 5*21m(M–) 4 ! ! ::!Ģ!4!>!44! ! 9
PAGE 35
!A!Փ৤ቚ‫ޖڊ‬Ӱફ‫و‬቗ !Փ৤ቚ‫ޖڊ‬Ӱફ‫و‬቗ǈѢ!!~ǈഹࡍቚ‫ڊ‬Ӱફண֎ăࡱ৹ჾѢ!!Sǈᆿቚ‫ڊ‬Ӱફண֎ǈ ഹࡍѢ!!Eă !෸ઋǖ!Փ৤ቚ‫ޖڊ‬Ӱફ!B!‫و‬቗! ~0)B*!ࢪ!!S0)B*!E !A!ᇀࣜ๻ቲෳᅋӰફ !৹ჾ൥ༀෳᅋ቗ქჅǈᇀࣜ๻ቲෳᅋӰફă !෸ઋǖ!ࣜ๻!6!,!B! 5+S0)B*!E !A!അ‫ׅ‬ቚ‫ޖڊ‬Ӱફ‫و‬቗Ǆഅ‫ׅ‬ཛྷ!1ǅ !෸ઋǖ!അ‫ׅ‬Ӱફ!B! 01~)TUP*!0)B* !A!അ‫ׅ‬ຑᅘӰફǄഅ‫ׅ‬ཛྷ!1ǅ !ෳᅋ!NFNPSZ!ன෷ಃுഅ‫ׅ‬ຑᅘӰફ‫و‬௠൛ăഋԸሙٞ!234!ო‫و‬Đ،‫׈‬ಹߘ੻ಹ! )NFNPSZ*đჾࢩട‫ྲဳۂޚ‬ă !k!അ‫ׅ‬ຑᅘ،‫׈‬ಹ௠൛ !‫ླص‬ཏटຑᅘӰફǄҪਸ਼Ӱફ!Nǅࠧ‫ؖ‬Ѧ،‫׈‬ಹ!)Bot*!അ‫ׅ‬ཛྷ!1!෫ǈቖှჾ࿒Ճዷă !z!–!|DMS~!–!|Nfnpsz~!E !үૠ৹Ӱ،‫׈‬ಹ !൥߷ۢ࿦ࣜ๻ಹ‫و‬യෛӰફ!)B!‫!*[!ف‬ԥ޷ᅋǈ৹ჾүૠ৹Ӱ،‫׈‬ಹǈԌ‫ך‬जĐ‫ې‬༶Ӱ ફđੂ،‫׈‬቗ă! !ቚ‫ٻࢪڊ‬ᅋ‫ې‬༶
PAGE 36
!A!໣ࣩ‫ې‬༶Ӱફ !෸ઋǖ!!ᇜࣩ!21!‫ޔ‬Ӱફ b 10z – {PROG} – {/}1.
PAGE 37
!A!‫ٻ‬ᅋ‫ې‬༶Ӱફ‫و‬௠൛ !พ൩ླཏ‫ٻ‬ᅋ௠൛‫ېو‬༶Ӱફ‫و‬ண֎!)[\!n^*ǈഹࡍѢ!!Eă !෸ઋǖ!!‫ٻ‬ᅋ‫ې‬༶Ӱફ![\6^!‫و‬௠൛ b S5(Z)Si([)5a6(])E !A!ᇀࣜ๻ቲෳᅋ‫ې‬༶Ӱફ !৹ჾ൥ༀෳᅋ቗ქჅǈᇀࣜ๻ቲෳᅋ‫ې‬༶Ӱફă !෸ઋǖ!!ࣜ๻!6!,![\6^ b 5+S5(Z)Si([)5S6(])E !A!അ‫ېׅ‬༶Ӱફ௠൛Ǆഅ‫ׅ‬ཛྷ!1ǅ !෸ઋǖ!!അ‫ېׅ‬༶Ӱફ![\6^ ! z!–!|QSPH~!–!|!/~!S5)[*!ai)\*!5S6)^*!E 0 !A!അ‫ׅ‬ຑᅘ‫ې‬༶Ӱફ !‫ླص‬ཏක‫صׅ‬೐཭ᅢࣜ๻ಹ،‫׈‬ಹቲ‫و‬ຑᅘ‫ې‬༶Ӱફ෫ǈቖှჾ࿒Ճዷă !0z!–!|QSPH~!–!|!/~!1.
PAGE 38
!k ৶࣒իื !ӊࣜ๻ಹ௠ብષ!51!‫ޔ‬իᅋ৶࣒իืǈ൥!!πǈ୧‫ޔ‬৶࣒իื‫ڞ‬঱ᅘཚქ‫و‬࿤෸ܻࠟăᇀ ຑᅘன෷ቲ‫ڞ‬቉֞৶࣒իืǈ‫!د‬CBTF.
PAGE 39
E !A!৶࣒իื઼ӹ !࿤෸ቁവ‫و‬Ե‫ة‬ოஎ෫ǈ Đოࠟđ઼ቲ‫ืو‬ዖ࢙ᇀዳՊ࿤෸իืԵ‫ة‬ოࠟࠧၭᇗիืຑ ၖѢ‫ืو‬ዖऒă !ოࠟ!! !৶࣒իื!! !ოࠟ!! !৶࣒իื!! !2.2! ቬ ! ዓ‫و‬ቬફ! 4! .6! ̂ ! !ढ़ዓ‫׫‬প! !2.3! ቲ ! ዓ‫و‬ቬફ! 4! .7! ۨ ! ਻ٞիื! !2.4! ٫ ! ዓ‫و‬ቬફ! 4! .8! ᆐ ! ٫ࠣ! !2.5! ̂ ! !ढ़ዓ‫و‬ቬફ! 4! .9! ѐ ! ܼࣩ‫ن‬ନիื! !2.6! ԍ ! ‫۝‬ҙঈ! 5! .2! ԍ ! ‫۝‬ወ୆իื! !2.7! ಗ ! ੘৻իื! 5! .3! ੻ ! ࿻಺໛‫و‬஬‫۝‬໛ࢵ! !2.8! ࠥ ! ‫׫‬ዓ! 5! .4! ஬ ! ‫಺۝‬໛իื! !2.9! ԍ ! ‫׫۝‬ዓ! 5! .5! ሪ ! ਅቲ‫ߞو‬๱! !3.2! ࠩ ! ੻ࡧಗ੘৻իื! 5! .6! ٞ ! ქ‫܅‬වիื! !3.3! ॽ ! ࿈ॕ޵իื! 5! .7! ٞ ! ۠‫܅‬වիื! !3.
PAGE 40
!৶࣒ࠉืࣜ๻ !‫܇ׅ‬૙ᅘํடǈܱᇘ৹ჾᇀࣜ๻ಹൌᄌࣜ๻ன෷࿒ෳᅋӊॎቲ‫ืࠉو‬ǈ‫!د‬CBTF.O!ன ෷‫ׅ‬༶ă !৶࣒ࠉืࣜ๻ኢᄌ෼࿾ !•!ቖှҪࠆ௠ብ৶࣒ࠉื‫ࣜو‬๻෫ǈ࿤෸ࣜ๻ॕ߷৹௢࢙ၖექဗ෫ࣺăᇀࣜ๻ॕ߷ ࿤෸ቐ೐ǈԥეᇀࣜ๻ಹණቖှൌࠨऒՃዷă !•!ቲ‫ڱ‬ቁᇀ६ှ‫ࣜو‬๻ՃዷǈѢ!!@ă !ํட৶࣒ࠉืᅷۨ !•!ӹ෸ࠉืዔӰફ‫ྲྀو‬ӊ཭ᅢ‫ؙ‬ਸ਼ࠟ!)|!~*!௠ăዔӰફ໼իཛྷ!| ቗ ~!ࢪ!| ӹؕ෷ ~ă !•!‫ؙص‬ਸ਼ࠟ!)|!~*!཭ᅢਸ਼ࠟ௠෫ǈӹ෸ਸ਼ࠟຑᅘ࿾োၖพ൩ă !k!ൻऻࠧ۴ൻऻࠉื –1 –1 –1 !sin(, cos(, tan(, sin! (, cos! (, tan! (! !A!শۨࠧพ൩ !tjo)!|n! ~*Ǆ৹ᇀዔӰફቲෳᅋದດࠉืă ǅ –1 !෸ઋǖ!!tjo!41!>!1/6-!tjo! 1/6!>!41 bv s30)E –1 1s(sin )0.
PAGE 41
!k ऻ‫཭ةڪ‬Ӱࡳ !৹टქ‫཭ةڪऻޔ‬พ൩‫و‬቗Ӱࡳཛྷ૙༶ქቸऻ‫཭ةڪ‬ă !พ൩ქ‫ޔ‬቗ቐࡍǈၭᇗ!!z!–!|BOHMF~!৹࿤෸൥࿒Ե‫ة‬ಃுă !1)°*ǖ‫ڪ‬ !2)!r*ǖ࡙‫ڪ‬ !3)!g*ǖ໓‫ڪ‬ ! ! ! !෸ઋǖ!!ट!!π !࡙‫ڪ‬Ӱࡳཛྷ‫ڪ‬ 3! bv (15(π)/2) z – {ANGLE}2(r)E !k!ใച࿯ࠧ۴ใച࿯ࠉื –1 –1 –1 sinh(, cosh(, tanh(, sinh (, cosh (, tanh ( !A!শۨࠧพ൩ !tjoi)|!n~*!!! Ǆ৹ᇀዔӰફቲෳᅋದດࠉืă ǅ !෸ઋ!ǖtjoi!2!>!2/2863122:5 b z – {MATH}cc1(sinh)1) !A!ӄኢ !พ൩ใച࿯ࢪ۴ใച࿯ࠉืǈቖှჾ࿒Ճዷ࿤෸‫ޢ‬௢Ե‫ة‬ǖ!z!–!|NBUI~!ccă !k!ቚืࠉืࠧ‫ืࠉืڶ‬ 10^(, e^(, log(, ln( !A!শۨࠧพ൩ !21_)|!n~*!///////////////////////////// 21!n ! !mph)|!n~*!/////
PAGE 42
!෸ઋ!2!ǖmph!227!>!5-!mph27!>!2/31522::94 b l2,16)E l16)E !‫ص‬ԥቚ‫ڊ‬ٛื෫ǈ࢙࣯‫ڊ‬ෳᅋٛื!21Ǆիᅋ‫ืڶ‬ǅă! B z – {MATH}c7(logab) 2e16E !෸ઋ!3!ǖmo!:1!)>!mph!e!:1*!>!5/5::91:78 b i90)E !k அࠉืࠧ֓‫ืࠉޗ۽‬ x2, x–1, ^(, '(, 3'(, x'( !A শۨࠧพ൩ 2 2 !|n! ~!!x !///////////////////////////////// |!n~!!! –1 –1 !|n! ~!!x !/////////////////////////////// |!n~! !! { } !|)!m*~!_)!|n! ~*!///////////////////////// |!m~!n ! ! )|!n~*!///////////////////////////// ! |!n~! ' 3 3 !')|!n~*!/////////////////////////// !! |!n~! { } x !)|!m~*!')
PAGE 43
(1+1)62+2)E B (!2e+1) (!2e-1)E (1+1)62+2E !෸ઋ!3ǖ!)–3* 2 3 >!2/698512163 b (-2)6(2'3)E !k!ࢵ‫ࣜܖ‬๻ !ӊࣜ๻ಹ৹ෳᅋ‫ݽ‬๑॰๞ࢵ‫ܖ‬ቖှࢵ‫ܖ‬ᆱ๻ăࣜ๻ಹෳᅋჾ࿒ࢵ‫ืࠉܖ‬ă!! ∫( !A!শۨࠧพ൩ !∫)!!f)!x*-!!a-!!b-!!tol* ! !f)!x*ǖ!x!‫ืࠉو‬Ǆพ൩Ӱફ!Y!ෳᅋ‫ืࠉو‬ă ǅ •!‫!ׅ‬Y!ቐ༶‫و‬ຑᅘӰફ‫ڞ‬Ӈญཛྷիืă ! ! a! ǖ! ࢵ‫ܖ‬ഘᅺ࿒࿮ ! ! !bǖ! ࢵ‫ܖ‬ഘᅺණ࿮ tolǖ!ྥ՘ᆰၛާ՘۶ཙǄ४‫ص‬ෳᅋ࿯၂࿤෸෫ԯ௢พ൩ă ! ǅ ! ! –5 •!‫ױ‬Ըื৹ჾࡐଞăᇀሦቸഉਦ࿒ǈෳᅋާ՘!2!ġ!21! ă !෸ઋǖ!!∫!)mo)!x*-!2-!!e*!>!2!!!! Ǆ!tol!቗སพ൩ǅ B z – {MATH}1(∫dX) iS0(X))c1f1i(%)1E Ck-42
PAGE 44
b z – {MATH}1(∫dX) iS0(X)),1,1i(%)1))E !A!ӄኢ !•!४ᇀ!DPNQĂTEĂSFH!ࠧ!FRO!ன෷ቲ቉֞ෳᅋ!!∫)ă 2 2 !•!‫!!ڶ‬f)!x*Ă!aĂ!b!ࠧ!!tol!Ըืԥ௢พ൩ჾ࿒ࠉืǖ!∫)Ă!d0!dx)Ă!d 0!dx )Ă!Σ)ă‫ױ‬༶ǈ‫!!ڶ‬f)!x*!Ը ืǈԥ௢พ൩!Qpm)ĂSfd)!ࠉืࠧ๾ࢲืࠉืă !•!‫ܖࢵص‬ഘᅺ࿮቗ᇀ!!a!!!–6/444444444 •!!ᇀൻऻࠉืࢵ‫وܖ‬ഉਦ࿒ǈഋၭᇗ!Sbe!ዷཛྷऻ‫཭ةڪ‬ă !•!ࢵ‫ࣜܖ‬๻༾֑৹௢ၖე࠶լ෫ࣺă !•!‫!!ڶ‬tol!Ըืቚ‫ृڊ‬ဏ‫و‬቗৹ჾ໗‫ڪॽݽ‬ǈ‫د‬ნ࢙ෳࣜ๻ࡠ‫ۂޚ‬෫ࣺăഋቚ‫ؙڊ‬ᅢ!2!ġ! –14 21! !‫!!و‬tol!቗ă !•!ෳᅋಗ໼࿤෸෫टྐۨพ൩!!tol!቗ă !•!ቁᇀࢵ‫ืࠉوܖ‬੮ျĂࢵ‫ܖ‬ഘᅺ௠‫و‬ቁ቗ࠧ‫ݘ‬቗ჾࣆቁᇀෳᅋ‫ܖࢵو‬ഘᅺ‫ڞ‬
PAGE 45
∫ ! b a f(x)dx = ∫ x1 a f(x)dx + ∫ x2 x1 f(x)dx + .....+ ∫ b x4 f(x)dx !k!པ‫ܖ‬ !ӊࣜ๻ಹ৹໼߹ࢱᅢቲဲ՘‫ܖ‬॰๞‫و‬॰๞པ‫ۚۨܖ‬ቖှཔ‫ࣜܖ‬๻ăෳᅋ൥࿒ࠉืቖှ ࣜ๻ă d/dx( !A!শۨࠧพ൩ !d0!dx)!!f )!x*-!!a-!!tol* ! !f)!x*;! x! !‫ืࠉو‬Ǆพ൩Ӱફ!Y!ෳᅋ‫ืࠉو‬ă ǅ •!‫!ׅ‬Y!ቐ༶‫و‬ຑᅘӰફ‫ڞ‬Ӈญཛྷիืă ! ! a! ǖ! ຑၖཔ‫ܖ‬࿅ื‫و‬٧቗Ǆཔ‫ܖ‬٧ǅ ! ! !tolǖ!ྥ՘ᆰၛާ՘۶ཙǄ४‫ص‬ෳᅋ࿯၂࿤෸෫ԯ௢พ൩ă ǅ ! ! –10 •!‫ױ‬Ըื৹ჾࡐଞăᇀሦቸഉਦ࿒ǈෳᅋާ՘!2!ġ!21! ă !෸ઋǖ!!‫־ه‬٧!!x!>!!!π !‫!!ืࠉ׌‬y!>!tjo)!x*!‫و‬པ‫ܖ‬࿅ืǄ!tol!቗སพ൩ǅ 3! V z – {MATH}2(d/dX)sS0(X)).....
PAGE 46
!•!৹ჾ໼߹Ѣ!!o!ቲ‫ڱ‬ቁᇀ६ှ‫و‬པ‫ࣜܖ‬๻ᆱዷă !k!۠ोཔ‫ܖ‬ 2 2 !ӊࣜ๻ಹ৹ჾࣜ๻!!f )!x*!‫۠و‬ोཔ‫ܖ‬࿅ื!)!d 0!dx )!!f )!x**|!x>!a*ǈದቲ!!x!>!!aăӊࣜ๻ಹෳᅋ ࢱᅢఇ‫ڻ‬Տ቗‫ۂ‬࿾෷‫۠و‬ो቗པ‫و֔۽ܖ‬॰๞ăෳᅋ൥࿒ࠉืቖှࣜ๻ă d2/dx2( !A!শۨࠧพ൩ 2 2 !d 0!dx )!!f )!x*-!!a-!!tol* ! !f )!x*ǖ!x!‫ืࠉو‬Ǆพ൩Ӱફ!Y!ෳᅋ‫ืࠉو‬ă ǅ •!‫!ׅ‬Y!ቐ༶‫و‬ຑᅘӰફোӇญཛྷիืă ! ! ! !aǖ! ຑၖ۠ोཔ‫ܖ‬࿅ื‫و‬٧቗Ǆ۠ोཔ‫ܖ‬٧ǅ ! !tolǖ!ྥ՘ᆰၛާ՘۶ཙǄ४‫ص‬ෳᅋ࿯၂࿤෸෫ԯ௢พ൩ă ǅ ! ! –10 •!‫ױ‬Ըื৹ჾࡐଞăᇀሦቸഉਦ࿒ǈෳᅋާ՘!2!ġ!21! ă 3 2 !෸ઋ!2ǖ!‫!!־ه‬x!>!4!෫ࠉื!!y!>!!x !,!5!x !,!!x!–!7!‫۠و‬ोཔ‫ܖ‬࿅ื B 2 2 z – {MATH}3(d /dX )S0(X)63e +4S0(X)x+S0(
PAGE 47
!࿒எ࿤෸ཛྷᅋᅢ!!Σ!ࣜ๻‫ࣜو‬๻ާ෷ă Σ( f (x), x, a, b) = f (a) + f (a+1) + ....
PAGE 48
!A!শۨࠧพ൩ !ቓऻዸӶӰࡳཛྷࣁዸӶ!)Qpm* !Qpm)!!x-!!y* ! !xǖቓऻዸӶ‫!!و‬x!቗ ! !yǖቓऻዸӶ‫!!و‬y!቗ ! !ࣁዸӶӰࡳཛྷቓऻዸӶ!)Sfd* !Sfd)!!r-!!Ƨ* ! !rǖ ࣁዸӶ‫!!و‬r!቗ Ƨ ! ! ǖࣁዸӶ‫!!و‬Ƨ!቗ !෸ઋ!2ǖ!टቓऻዸӶ!)!' 3-!!' 3!*!ӰࡳཛྷࣁዸӶ bv 1+(Pol)!2) ,!2))E Bv 1+(Pol)!2e ,!2e)E !෸ઋ!3ǖ!टࣁዸӶ!)3-!41˚*!ӰࡳཛྷቓऻዸӶ bv 1-(Rec)2, 30)E !A ӄኢ !•!ሦဗࠉื৹ᇀ!DPNQ!ன෷ቲෳᅋă !•!ࣜ๻ූ֑‫!!و‬r!቗ࢪ!!x!቗‫ݑ‬ᅰӰફ!Jǈۚ!!Ƨ!቗ࢪ!!y!቗‫ݑ‬ᅰӰફ!KǄٞ!44!ოǅ ă •!!‫׹‬ቓऻዸӶӰࡳཛྷࣁዸӶ෫‫!!و־ه‬Ƨ!቗ᇀ۶ཙ!–291˚!=!!Ƨ!!!3!,!6!>
PAGE 49
!k ๾ࢲืࠉื !ӊࣜ๻ಹӄᅘූ֑!21!཭ྐၠ๾ࢲืĂ21!཭ᅘၠ๾ࢲืࢪ໎‫ڊ‬۶ཙ௠‫و‬๾ࢲሿื‫ࠉو‬ ืă࿒எกූ֑๾ࢲื‫ืࠉو‬ă! Ran#, RanInt#( !A ྐၠ๾ࢲืǄဏื቗ǅ !࿒எූ֑۶ཙᇀ!1!ࠧ!2!ቐࣺ‫!و‬21!཭ྐၠဏืă !শۨǖSbo$ !෸ઋǖ!!ූ֑!21!཭ྐၠ๾ࢲื! B z – {MATH}6(Ran#)E E E !ණะ቗४ዷཛྷ෸ઋ໗‫ޥ‬ăࣜ๻ಹෳᅋ‫و֑ූืࠉױ‬෯࣠቗ट࢙ᅘຑԥༀă!! !A ᅘၠ๾ࢲืǄဏื቗ǅ !ᇀሦቸഉਦ࿒ǈ࢙Ѣሙ!2!‫!ف‬:!ቐࣺ‫!و‬:!‫ޔ‬ၠืූ֑۶ཙᇀ!1!‫!ف‬2!ቐࣺ‫!و‬21!཭ᅘၠ๾ ࢲืă๋ၠกᅑ!Sbo$!‫و‬ሿืዔӰફǄ2!‫!ف‬:ǅቚ‫وڊ‬ăѢሙ‫ݡ‬ዔӰફූ֑‫و‬๾ࢲืჾ ߈‫๋ڊ‬ၠූ֑ă !শۨǖSbo$|!n~!!! Ǆ!n!ก!2!‫!ف‬:!ቐࣺ‫و‬ሿืă ǅ !෸ઋǖ!!ූ֑ᅘၠ๾ࢲื B ֽ෶ࡧ๋ၠǖ! z – {MATH}6(Ran#)0E z – {MATH}6(Ran#)1E Ck-48
PAGE 50
E E !A ๾ࢲሿื !‫֑ූืࠉױ‬໎‫ڊ‬۶ཙ௠‫و‬๾ࢲሿืă !শۨǖSboJou$)|!m~-!|!n~*!!! Ǆ!m!ࠧ!!n!กሿืă!m!=!!nǗ!|m|-!!|n|!=!2!E21Ǘ!n!–!!m!=!2!E21ǅ !෸ઋǖ!!ූ֑۶ཙᇀ!1!‫!ف‬6!ቐࣺ‫و‬๾ࢲሿื B z – {MATH}c8(RanInt)0,5)E E E !ණะ቗४ዷཛྷ෸ઋ໗‫ޥ‬ăࣜ๻ಹෳᅋ‫و֑ූืࠉױ‬෯࣠቗ट࢙ᅘຑԥༀă !k ದດࠉื x!, Abs(, nPr, nCr, Rnd(, Int(, Frac(, Intg( !A ो֓!)"* !শۨǖ|!n~!"ā ! )|!n~!Ӥၙกዔഹืࢪ!1ă ǅ !෸ઋǖ!!)6!,!4*" b (5+3) z – {MATH}5(X!)E Ck-49
PAGE 51
!A ৊‫ڶ‬቗!)Bct* !শۨǖ!Bct)!|n! ~* !෸ઋǖ!!Bct!)3!–!8*!>!6 B z – {MATH}c1(Abs)2-7E b z – {MATH}c1(Abs)2-7)E !A!఩઼!)!nQ!r*0 ዩࠩ!)!nD!r* !শۨǖ|!n~Q|!m~-!|!n~D|!m~ !෸ઋǖ!!21!൉ዩ֑‫و‬ဏዩቲ৹௢‫־‬࿦‫ۂ‬ඵቸ!5!൉఩઼ࠧዩࠩǛ b 10z – {MATH}7(nPr)4E 10z – {MATH}8(nCr)4E !A!ල൩ࠉื!)Soe* !৹ჾෳᅋල൩ࠉื!)Soe*!‫ڶ‬቗ӹؕ෷ࢪዔӰફቚ‫ࣜوڊ‬๻ॕ߷६ှල൩ăѢሙ࿤෸཭ ืහ‫ڊ‬ቖှල൩ǈල൩‫ف‬ᅘပ཭ืă !࿤෸཭ืහ‫ڊ‬ǖOpsn2!ࢪ!Opsn3 !ཤื๜ලྗ൩‫!ف‬21!཭ă !࿤෸཭ืහ‫ڊ‬ǖGjy!ࢪ!Tdj !቗๜ලྗ൩ཛྷቚ‫ื཭وڊ‬ă !෸ઋǖ!311!Ģ!8!ġ!25!>!511 b 200/7*14E Ck-50
PAGE 52
Ǆ4!཭ဏืǅ ! 1N(SETUP)6(Fix)3E Ǆ௠ԩࣜ๻ෳᅋ!26!཭ă ! ǅ 200/7E *14E !࿦ᇀෳᅋල൩!)Soe*!ࠉืቖှༀქࣜ๻ă o200/7E Ǆࣜ๻ෳᅋ๜ලྗ൩ࡍ‫و‬቗ă ! ǅ 10(Rnd)E ! Ǆ๜ලྗ൩ࡍ‫و‬ॕ߷ǅ ! *14E !A!ֱടሿืԩ‫)!ܖ‬Jou* !Jou)!ࠉืֱടพ൩෯ื‫و‬ሿืԩ‫ܖ‬ዷཛྷದዔӰફă !শۨǖ!Jou)!|n! ~* !෸ઋǖ!!໗ട!–2/6!‫و‬ሿืԩ‫ܖ‬ b z – {MATH}c2(Int)-1.
PAGE 53
!A!໗ടဏืԩ‫)!ܖ‬Gsbd* !Gsbd)!ࠉืֱടพ൩෯ื‫و‬ဏืԩ‫ܖ‬ዷཛྷದዔӰફă !শۨǖ!Gsbd)!|n! ~* !෸ઋǖ!!໗ട!–2/6!‫و‬ဏืԩ‫ܖ‬ b z – {MATH}c3(Frac)-1.5)E !A!ዮ‫ؙ‬ሿื!)Jouh* !Jouh)!ࠉืവ‫ڊ‬ԥմ߹พ൩෯ื‫و‬ዮ‫ؙ‬ሿืዷཛྷದዔӰફă! !শۨǖ!Jouh)!|n! ~* !෸ઋǖ!!വ‫ڊ‬ԥմ߹!–2/6!‫و‬ዮ‫ؙ‬ሿื b z – {MATH}c4(Intg)-1.
PAGE 54
1/(ENG) 1/(ENG) !෸ઋ!3ǖ!ෳᅋ!FOH!, ट 234 Ӱࡳཛྷ‫ܻࠟ֔ޠ‬ B 123E 1*(ENG) 1*(ENG) !k ෳᅋ‫ܻࠟ֔ޠ‬ !ӊࣜ๻ಹ቉֞ෳᅋ!21!‫ܻࠟ֔ޠޔ‬ǄnĂ!ƫĂoĂqĂgĂlĂNĂHĂUĂQǅ ǈ৹ჾෳᅋດ୯ พ൩቗ࢪ࿤෸ࣜ๻ॕ߷ă৹ჾᇀ‫!ׅ‬CBTF.
PAGE 55
6(k) 4! !A!ᇀ‫ؘܻࠟ֔ޠ‬৚‫و‬ഉਦ࿒!)FohPo*ǈ!ෳᅋ!FOH!)21!*!Ӱࡳ !ၭቲĐFohPođჾ቉֞‫وܻࠟ֔ޠ‬ഉਦ࿒ǈቖှ!FOH!ӰࡳǄٞ!23!ოǅटѿဏื٧ဂᅚ ჰ‫!ڑ‬4!཭ǈԌ࿰ᄮӰ‫ܻࠟ֔ޠޚ‬Ǆઋ൥ǈ‫!׹‬N!Ӱ‫ޚ‬ཛྷ!lǅ ă!࿰۴ǈቖှ!!←FOH!Ӱࡳट ѿဏื٧ဂዳჰ‫!ڑ‬4!཭ǈԌ࿰ᄮӰ‫ܻࠟ֔ޠޚ‬Ǆઋ൥ǈ‫!׹‬l!Ӱ‫ޚ‬ཛྷ!Nǅ ă !෸ઋǖ!!ࣜ๻!:::!l!)ljmp*!,!36!l!)ljmp*!>!2/135!N!)Nfhb*!>!2135!)ljmp* b 999z – {MATH}ccc6(k)+ 25z – {MATH}ccc6(k)E 1/(ENG) ǄFOH!Ӱࡳǅ! !‫ࣜืݒ‬๻!)DPNQ* !ཛྷቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!DPNQ!)!N1*!ዷཛྷࣜ๻ன෷ă !k พ൩‫ืݒ‬ !A พ൩ၗื!)!i* !ෳᅋ!!i!ऒพ൩ၗื!!iă !෸ઋǖพ൩!3!,!4!i 2+3i !A!ෳᅋࣁዸӶ‫ޏ‬෷พ൩‫ืݒ‬቗ !ნ৹ჾෳᅋࣁዸӶ‫ޏ‬෷!)!r!!∠!!Ƨ*!พ൩‫ืݒ‬ă !෸ઋ
PAGE 56
!k ‫ืݒ‬࿤෸හ‫ڊ‬ !ഋԸሙĐ‫ืݒ‬࿤෸‫ޏ‬෷đ Ǆٞ!24!ოǅ ă !k ‫ࣜืݒ‬๻ॕ߷࿤෸෸ઋ !A ቓऻዸӶ‫ޏ‬෷!)!a,!bi* !1N)TFUVQ*!c4)DPNQMY*!1)!a,!bi* !෸ઋ!2ǖ!3!ġ!)!' 4!,!!i*!>!3!' 4!,!3!i!>!4/575212726!,!3!i Bv 2*(!3e+i)E b 2*(!3)+i)E !ෳᅋ࿯၂࿤෸‫ޏ‬෷෫ǈࣜ๻ॕ߷࢙ჾ઩ှ࿤෸ǈ ‫ܖ‬Ӽ࿤෸෯ԩࠧၗԩă !෸ઋ!3ǖ!' ! 3!!∠!56!>!2!,!!i Bv !2e1i(∠)45E !A!ࣁዸӶ‫ޏ‬෷!)!r!!∠!!Ƨ* !1N)TFUVQ*!c4)DPNQMY*!2)!r∠Ƨ* !෸ઋ!2ǖ!3!ġ!)!' 4!,!!i*!>!3!' 4!,!3!i!>!5!!∠!41 Bv 2*(!3e+i)E b 2*(!3)+i)E !ෳᅋ࿯၂࿤෸‫ޏ‬෷෫ǈࣜ๻ॕ߷࢙ჾ઩ှ࿤෸ǈ ‫ܖ‬Ӽ࿤෸৊‫ڶ‬቗ࠧዔӰફă !෸ઋ!3ǖ!2!,!!i!>!!' 3!!!∠!56 Bv 1+iE Ck-55
PAGE 57
!k ޮᦊ‫)!ืݒ‬Dpokh* !৹ჾቖှჾ࿒Ճዷ‫!!ืݒ־ه‬z!>!!a!,!!bi!‫!!ืݒᦊޮو‬z̄!>!!a!–!!biă !෸ઋǖ!‫!־ه‬3!,!4!i ‫ืݒᦊޮو‬ B z – {COMPLX}3(Conjg)2+3i)E !k ৊‫ڶ‬቗ܹࠧऻ!)Bct-!Bsh* !৹ჾෳᅋ൥࿒߹֔ǈ‫־ه‬ქ‫وืݒޔ‬৊‫ڶ‬቗!)|!z|*!ࠧᇀ‫ݽ‬๑எණ‫)!ऻܹو‬Bsh)!z**ǈ‫ޏ‬෷ ཛྷ!!z!>!!a!,!!biă !ၗኃ !෸ઋǖ!‫!־ه‬3!,!3!i ‫و‬৊‫ڶ‬቗ܹࠧऻ b=2 bv o ৊‫ڶ‬቗ǖ z – {COMPLX}1(Abs)2+2i)E !ܹऻǖ z – {COMPLX}2(Arg)2+2i)E ! !k!໗ട‫وืݒ‬෯ԩ!)SfQ*!ࠧၗԩ!)JnQ* !৹ჾෳᅋჾ࿒Ճዷ໗ട‫!!ืݒ‬a!,!!bi!‫و‬෯ԩ!)!a*!ࢪၗԩ!)!b*ă !෸ઋǖ!‫!־ه‬3!,!4!i ‫و‬෯ԩࠧၗԩ !B z – {COMPLX}4(ReP)2+30)E z – {COMPLX}5(ImP)2+30)E Ck-56
PAGE 58
!k ട‫ؠ‬യෛ‫ืݒ‬࿤෸‫ޏ‬෷ !৹ჾෳᅋ൥࿒ຑะ‫֔߹و‬ǈട‫ؠ‬യෛ‫ืݒ‬࿤෸‫ޏ‬෷ǈԌཛྷ‫ص‬೐พ൩‫ࣜو‬๻ቚ‫ڊ‬໎‫وڊ‬ ࿤෸‫ޏ‬෷ă !A ཛྷࣜ๻ቚ‫ڊ‬ቓऻዸӶ‫ޏ‬෷ !ᇀࣜ๻‫و‬ॕཤพ൩!!z!–!|DPNQMY~!7)!'a,!bi*ă !෸ઋǖ!!3!' 3!!!∠!56!>!3!,!3!iǄऻ‫཭ةڪ‬ǖEfhǅ ! Bv 2!2e10(∠)45 z – {COMPLX}7('a+bi)E !A ཛྷࣜ๻ቚ‫ࣁڊ‬ዸӶ‫ޏ‬෷ !ᇀࣜ๻‫و‬ॕཤพ൩!!z!–!|DPNQMY~!6)!'r∠Ƨ*ă !෸ઋǖ!!3!,!3!i!>!3!' 3!!∠!56 Bv 2+20z – {COMPLX}6('r∠Ƨ)E !পሷࣜ๻!)DPNQ* !ཛྷቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!DPNQ!)!N1*!ዷཛྷࣜ๻ன෷ă !k পሷࣜ๻‫ݣ‬ะ !ቖှপሷࣜ๻‫و‬ԧኊกǖ࿘टপሷ،‫ف׈‬ணཛྷ!Nbu!B!‫!ف‬Nbu!G!‫و‬૥‫ޔ‬،‫׈‬ഘᅺቲ‫و‬ქ‫ޔ‬ǈ 20 12 + !‫و‬পሷࣜ๻ǈᇘ 02 34 20 12 ე!!ट! !พ൩!Nbu!Bǈ
PAGE 59
!•!Nbu!Bot!ಃுණ‫و‬୧‫ةޔ‬ᆐ‫ڞޏ‬࿤෸‫ةݡ‬ᆐ‫ޏ‬ቲ‫ص‬೐،‫و׈‬቗ባ‫!ۂ‬7!཭ืă !•!ंՓ‫ة‬ᆐ‫ޏ‬ቲ،‫و׈‬቗ǈഋෳᅋߞӶऒट‫ݽ‬ભ࿤෸ჰ‫ةݡف‬ᆐ‫ޏ‬ăሦटෳҪࠆ‫و‬༾ ሿ቗ᇀಃுٛԩ‫و‬቗࿤෸ഘᅺቲ࿤෸ă !•!൥߷ქ‫ةޔ‬ᆐ‫ޏ‬Ҫࠆქ‫!ࢪืܖޔ‬71!६ቨื቗ǈᇘ!Nbu!Bot!ಃுණ‫و‬คᅋ‫ة‬ᆐ‫ޏ‬ट࿤ ෸ٌ቗‫!و‬21!६ቨ‫ޏ‬෷ื቗ă‫ص‬ट‫ݽ‬ભ࿤෸ჰ‫ةݡف‬ᆐ‫ޏ‬෫ǈ‫ݡ‬቗टჾ࿰ᄮ‫!ࢪืܖو‬ 71!६ቨ‫ޏ‬෷ᇀ቗࿤෸ഘᅺቲ࿤෸ă! !•!ॳߘ!Nbu!Bot!ಃு৤ಲੂᅳপሷӬࣃಹಃு‫܇‬ի࿰๞ǈ‫د‬ԥ௢ᇀ!Nbu!Bot!ಃுණӬࣃ পሷă !•!Nbu!Bot!ಃுᇀ࿤෸ಹණ෫Ѣ!!E!ट೰ࡳ‫ࣜف‬๻ಃுă !•!Nbu!Bot!ᇀ࿤෸ಹණ෫ǈ৹ჾѢ!!+Ă!-!ࢪ૙ქ‫ޔ‬ᆱ๻ዓ৚෶ෳᅋ‫ص‬೐!Nbu!Bot!௠൛ ‫ࣜو‬๻Ǆ൥ĐNbu!Bot,đ ǅ ăሦ੮๞ᅢ‫ؖ‬Ѧ،‫׈‬ಹ‫و‬ՃዷǄٞ!42!ოǅ ăᅘߔ‫ྲဳۂޚ‬ǈ ഋԸሙĐቖှপሷࣜ๻đ Ǆٞ!71!ოǅ ă !k พ൩ࠧ
PAGE 60
!6/! พ൩ຑၖှ቗઼ࠧ቗ቐࡍǈѢ!Eă ! •!!‫ױ‬Ճዷट࿤෸পሷӬࣃಹಃுă !ߞӶ !7/! ᇀপሷӬࣃಹಃுණǈဂপሷ‫ةو‬ᆐ‫ޏ‬ቲพ൩቗ă !•!ෳᅋߞӶऒटߞӶჰ‫ف‬ຑၖ‫ة‬ᆐ‫ޏ‬ǈഹࡍพ൩቗ăพ൩቗ቐࡍǈѢ!!E!ࣝଆດă !8/! พ൩ഩԩຑၖ‫و‬቗ቐࡍǈѢ!!Jă !A!ෳᅋ‫ݑ‬቗த૚!)!/*!พ൩পሷืয !2/! ᇀ!DPNQ!ன෷ࣜ๻ಃுණǈෳᅋჾ࿒শۨพ൩ეพ൩পሷ،‫׈‬ಹ‫و‬পሷă ! ... ... ... a11 a12 ... a1n a21 a22 ... a2n [[a11, a12, ..., a1n][a21, a22, ..., a2n] ... [am1, am2, ..., amn]] am1 am2 ...
PAGE 61
!A Փ৤পሷ‫و‬௠൛ !2/! ᇀ!DPNQ!ன෷ࣜ๻ಃுණǈѢ!!z!–!|NBUSJY~!1)FEJU*!࿤෸পሷ،‫׈‬ഘᅺԵ‫ة‬ă !3/! ෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ეՓ৤ದ௠൛‫و‬পሷǈഹࡍѢ!!Eă !4/! ࿦ᇀট৹ჾӬࣃপሷ‫ة‬ᆐ‫وޏ‬௠൛ષǄ൥߷ၖეǅ ă •!!ෳᅋߞӶऒटߞӶჰ‫ف‬ეӰ‫ޚ‬ದ቗‫ةو‬ᆐ‫ޏ‬ǈഹࡍพ൩ူ቗ăพ൩቗ቐࡍǈѢ!!E! ࣝଆă !5/! ༾֑ຑၖӰ‫ޚ‬ቐࡍǈѢ!!Jă !A!ක‫ׅ‬໎‫ڊ‬পሷ،‫׈‬ഘᅺ‫و‬௠൛ !2/! ᇀ!DPNQ!ன෷ࣜ๻ಃுණǈѢ!!z!–!|NBUSJY~!1)FEJU*!࿤෸পሷ،‫׈‬ഘᅺԵ‫ة‬ă !3/! ෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ეක‫ׅ‬ದ௠൛‫و‬পሷ،‫׈‬ಹă !4/! Ѣ!!Y!ࢪ!!z2)Efm*ă !•!‫ױ‬Ճዷटෳქ‫ޔ‬വ്ဳྲ‫־‬࿦ă !5/! ཛྷක‫ׅࣜ‬๻ಹ،‫׈‬ಹቲ‫ص‬೐،‫و׈‬ຑᅘ֔ၠǈѢ!!E)Zft*ăეടဋ‫ݡ‬Ճዷۚԥක‫ׅ‬ ൌࠨ௠൛ǈѢ!!J)Op*ă !k!ቖှপሷࣜ๻ !ӊॎ໗‫ؙޥ‬ફপሷࣜ๻‫و‬෯࣠෸
PAGE 62
!A ֓ჾপሷ !४‫ص‬઩‫ޔ‬পሷှื࿰ༀ෫ǈԯ௢࿰֓ă !෸ઋǖ! 2 0 + 1 2 3 5 !‫ױ‬෸ઋ࣯‫!ڊ‬Nbu!B!Ҫࠆ! 2 0 ǈNbu!C!Ҫࠆ! 1 2 ǈNbu!D!!!Ҫࠆ! 3 ă 02 34 5 02 34 × Mat A + Mat B E * Mat C E !ኢᄌ !‫ص‬࿤෸ಹණ֒࿦ࣜ๻ಃு෫ǈ৹ჾ໼߹Ѣ!!z!–!|NBUSJY~!2)Nbu*!1-)Bot*!พ൩! Nbu!Bot!Ӱફă !A ࣜ๻পሷ‫ץ‬ફ֓ۨ !ӊࣜ๻ಹ቉֞ჾ࿒੮ျ‫ץو‬ફ֓ۨࣜ๻ă! n × Mat A, n Mat A, Mat A × n, Mat A ÷ n !•!৹ჾटĐNbu!Bđໜࡳཛྷࣜ๻ಹ‫و‬ൌࠨქ‫ޔ‬পሷǈ‫!׹‬Nbu!B!‫!ف‬Nbu!G!ࢪ!Nbu!Botă !•!‫ڶ‬ᅢ!!nǈ৹ჾෳᅋ቗Ă‫ڢ‬઎،‫׈‬ಹ!)N*ĂӰફĂপሷண֎ĂիืǄ!π!ࢪ৶࣒իืǅࢪ ৶࣒ࠉื቗Ǆ൥!tjo)41*ǅ ă !෸ઋǖ!3 × 20 12 + 02 34 !‫ױ‬෸ઋ࣯‫!ڊ‬Nbu!B!Ҫࠆ! 2 0 ǈNbu!C!Ҫࠆ! 1 2 ă 02
PAGE 63
!A পሷᆐ๰‫و‬৊‫ڶ‬቗ !ჾ࿒Ճዷവ‫ڊ‬পሷᆐ๰‫و‬৊‫ڶ‬቗ǈԌटದብᅢ!Nbu!Bot!ಃுණă !෸ઋǖ!!വ‫ڊ‬পሷ! 1 –2 !‫و‬৊‫ڶ‬቗ă! 5 0 !‫ױ‬෸ઋ࣯‫!ڊ‬Nbu!D!Ҫࠆ! 1 –2 ă 5 0 z – {MATH}c1(Abs) Mat C E !A ‫־ه‬পሷ‫و‬ှ઼෷ !efu)!ࠉื৹ჾᅋᅢ‫۽־ه‬ሷ‫و‬ှ઼෷ă det a11 = a11 det a11 a12 = a11a22 – a12a21 a21 a22 a11 a12 a13 det a21 a22 a23 = a11a22a33 + a12a23a31 + a13a21a32 – a13a22a31 – a12a21a33 – a11a23a32 ! a31 a32 a33 !෸ઋǖ!‫־ه‬পሷ! 1 –2 !‫و‬ှ઼෷ă 5 0 !‫ױ‬෸ઋ࣯‫!ڊ‬Nbu!D!Ҫࠆ! 1 –2 ă! 5 0 z – {MATRIX}3(det) Mat C ) E !A ኪብপሷ !ኪብপሷӊቬණӹ෸टপሷ‫و‬ှ઼࡝ࡳăෳᅋჾ࿒!Uso)!ࠉืቖှࣜ๻ă !෸
PAGE 64
!A!ഓ௬পሷ !৹ჾෳᅋ൥࿒ԧኊഓ௬‫۽‬ሷă a11 –1 = ! 1 a11 a22 –a12 a11 a12 –1 –a21 a11 = a21 a22 a11a22 – a12a21 a22a33 – a23a32 –a12a33 + a13a32 a12a23 – a13a22 –a21a33 + a23a31 a11a33 – a13a31 –a11a23 + a13a21 a11 a12 a13 –1 a21a32 – a22a31 –a11a32 + a12a31 a11a22 – a12a21 a21 a22 a23 = a 11a22a33 + a12a23a31 + a13a21a32 – a13a22a31 – a12a21a33 – a11a23a32 a a a 31 32 33 !ቺე෼࿾ƽ !•!४‫܇ڶ‬૏‫۽‬ሷ቉֞পሷഓ௬ă! –1 –1 !• ෳᅋ!!!))!x *!ऒพ൩Đ! đă !෸ઋǖ!!ഓ௬পሷ! 1 –2 ă 5 0 !‫ױ‬෸ઋ࣯‫!ڊ‬Nbu!D!Ҫࠆ! 1 –2 ă! 5 0 –1 Mat C !)(x )E !A!ࣜ๻পሷ‫
PAGE 65
!ၠ઼ࣜ๻!)SFDVS* !ቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!SFDVS!)!N6*!ዷཛྷࣜ๻ன෷ă !k ၠ઼ࣜ๻‫ݣ‬ะ !৹ჾෳᅋ࿒எ઩ቸၠ઼੮ျቲ‫و‬ქቸ‫ך‬जၠ઼ӹă !1!!an!੮ျၠ઼ ! ෳᅋሦቸၠ઼੮ျǈ৹ჾพ൩ၠ઼‫و‬໼࿾!)!an!>!!f!)!n**ǈჾࣆၠ઼‫و‬෶቗ࠧቷ቗ă !2!!an+1!੮ျၠ઼ ! ෳᅋሦቸၠ઼੮ျǈ৹ჾพ൩઩࿾١ߥ‫و‬١ߥާ෷!)!an+1!>!!f!)!an**ǈჾࣆၠ઼‫و‬෶቗ ࠧቷ቗ă !A ၭᇗၠ઼੮ျ !ၭᇗჾ࿒ၠ઼੮ျǖ! !ቖှჾ࿒ऒՃዷǖ! !an!੮ျ! !z!–!|UZQF~!1)!an*! a! n+1!੮ျ! !z!–!|UZQF~!2)!an+1*! !A ၠ઼Ӭࣃಹࡥஎ !६൩!SFDVS!ன෷Ԍၭᇗၠ઼੮ျቐࡍǈ࿒எ࿤෸‫و‬ქ‫ޔ‬ၠ઼Ӭࣃಹࡥஎ࢙઎࣊‫־‬࿦ă ෳᅋ‫ױ‬ಃுพ൩‫ڊ‬ᄏӹؕ෷‫و‬ӹؕ෷Ǆ໼࿾ࢪ١ߥާ෷ǅ ă ! ! a! n!੮ျ! a! n+1!੮ျ !ᇀၠ઼Ӭࣃಹࡥஎණพ൩ާ෷ !෸ઋ!2ǖ!!พ൩!!an+1!>!!an!,!!n!,!2 z – {TYPE}
PAGE 66
!A!ӹ۶ཙಃு !Ѣ!!E!ࣝଆᇀၠ઼Ӭࣃಹࡥஎණพ൩‫ާو‬෷ǈ࢙࿤෸൥࿒ӹ۶ཙಃுቐქă a! n!੮ျၠ઼! ! a! n+1!੮ျၠ઼ !ෳᅋ‫ױ‬ಃு৹ቚ‫!!ڊ‬n!‫و‬෶቗ )Tubsu* ࠧቷ቗ )Foe* ‫ך‬जၠ઼ӹă !ቚ‫ֽڊ‬࿾Ă෶቗ࠧቷ቗ !2/! ᇀӹ۶ཙಃுණǈෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ეӰ‫وޚ‬හ‫཭ڊ‬ብă !3/! พ൩ຑၖ‫و‬቗ࢪӹؕ෷ă •!!ᇀพ൩ಜࣺഅ‫ׅ‬ಃுǈѢ!!oă !•!ᇀพ൩ಜࣺѢ!!J!ट‫ױف಼܅‬෫ཛྷቛຑᅘ‫و‬พ൩ǈԌࢎ‫ݒ‬࿘೐ᇀಃுණพ൩‫و‬቗ă !4/! พ൩ຑၖ‫و‬ຑᅘ௠൛ࡍǈѢ!!Eă !•!‫ױ‬Ճዷ৹ࣝଆఀ‫و‬พ൩ă൥߷พ൩‫و‬กӹؕ෷ǈᇘࣝଆ‫ݡ‬ӹؕ෷‫ࣜو‬๻ॕ߷ă •!!‫ݽص‬ભ࿤෸ൌࠨහ‫ڊ‬෫ǈѢ!!E!৹࿤෸ၠ઼ӹಃுǄٞ!76!ოǅ ă !‫׹‬ӹ۶ཙಃு۵࢐ၠ઼Ӭࣃಹࡥஎ !Ѣ!!Jă !A!ၠ઼ӹಃு !ᇀĐቚ‫ֽڊ‬࿾Ă෶቗ࠧቷ቗đ࿒‫و‬ٞ!4!ԧቲѢ!!E!෫ǈࣜ๻ಹटѢሙพ൩‫ާو‬෷Ǆ໼ ࿾ࢪ١ߥާ෷ǅ Ăֽ࿾Ă෶቗ࠧቷ቗ቖှၠ઼ࣜ๻ǈԌᇀၠ઼ӹಃு
PAGE 67
!ჾ࿒઼ǖ! !Ҫࠆჾ࿒ืযǖ! !Σan !ༀქှቲ‫!!׹‬n!෶቗‫!!ف‬n!቗‫!!و‬an!‫!ࠧو‬ !n,2! ᇀ ! ӹ۶ཙಃுණཛྷ!!n,2!ቚ‫׹وڊ‬෶቗‫ف‬ቷ቗‫و‬቗ă ! !an+1 !ༀქှቲ‫ڶ‬ᄮ!!n,2!቗‫!!و‬an+1!‫و‬቗ă ! !Σan+1 !ༀქှቲ‫!!׹‬a1!‫!!ف‬n,2!‫!!و‬an+1!‫ࠧو‬ă ! !‫׹‬ၠ઼ӹಃு۵࢐ӹ۶ཙಃு !Ѣ!!Jă !k ‫ך‬जၠ઼ӹ !A ‫ך‬ज!!an+1!੮ျၠ઼ӹ !෸ઋǖ!ቺज١ߥާ෷ཛྷ!!an+1!>!!an,!!n!,!2!‫و‬ၠ઼ӹǈ۶ཙཛྷ!2!!!ሿืǅ ă‫د‬ กኢᄌ!!a1!>!3ă N6(RECUR) !६൩!SFDVS!ன෷ǖ! !ၭᇗ an+1 ੮ျǖ z – {TYPE}2(an+1) !พ൩١ߥާ෷ǖ z2(an)+z1(n)+1 !ࣝଆ١ߥާ෷ǖ E Ǆ‫ױ‬Ճዷ৹࿤෸ӹ۶ཙಃுă ! ǅ ! !พ൩!!a1 >!3ǈ෶቗!>!2ǈቷ቗!>!21ǖ 2E1E10E !‫ך‬जၠ઼ӹǖ E Ǆ‫ױ‬Ճ
PAGE 68
!A ‫ך‬ज!!an!੮ျၠ઼ӹ !2 *!n2!,!3!n!–!4!‫و‬ၠ઼ӹǈ۶ཙཛྷ!3!! !!n!! !7Ǆ!n!>!ሿืǅ !෸ઋǖ!‫ך‬ज໼࿾ཛྷ!!an!>!)!! ă < < 3! B !६൩!SFDVS!ன෷ǖ N6(RECUR) !ၭᇗ an ੮ျǖ z – {TYPE}1(an) พ൩໼࿾ǖ '1c2ez1(n)x+ 2z1(n)-3 !ࣝଆ!໼࿾ ! ǖ E Ǆ‫ױ‬Ճዷ৹࿤෸ӹ۶ཙಃுă ! ǅ !พ൩෶቗!>!3!ࠧቷ቗!>!7ǖ 2E6E !‫ך‬जၠ઼ӹǖ E Ǆ‫ױ‬Ճዷ৹࿤෸ၠ઼ӹಃுă ! ǅ !k!ၠ઼ࣜ๻ኢᄌ෼࿾ !ၠ઼ࣜ๻ಜࣺԥ௢ෳᅋჾ࿒‫ޢ‬௢ă! !•!DBMD !•!TPMWF !•!ዸӶӰࡳ!)Qpm)-!Sfd)*! 2 2 !•!!d0!dx)-!!d 0!dx )-!!∫)-!!Σ) !•!‫ڢ‬઎،‫׈‬ಹ໣ࣩࠧണ‫!)!ׅ‬l-!!1l)Nï** !•!ဂӰફ‫ݑ‬቗!)!1~)TUP** !•!‫ۂ‬ቺᅷশพ൩ !ූ֑ၠ઼ӹ෫‫ྥؓو‬ !•!ქ‫ޔ‬ၠ઼ӹዮ‫ۂ‬৹ᅘ!2::!ှă൥߷ӹ۶ཙහ‫ڊ‬ෳ‫ه‬մ߹‫ݡ‬࿮቗ǈᇘ࢙ۢ
PAGE 69
!ၠ઼ࣜ๻ಜࣺ‫ืو‬ၳؓྥ !൥߷ᇀၠ઼ӹࣜ๻ಜࣺۢූืၳؓྥ )Nbui!FSSPS*ǈᇘᇀ࿤෸ಹණ‫־‬࿦ၠ઼ӹಃுǈ ᇀؓྥ‫ةو‬ᆐ‫ޏ‬ቲ࿤෸ĐFSSPSđ ă! ! !‫֔۽‬෷ࣜ๻!)FRO* !k!‫֔۽‬෷ࣜ๻‫ݣ‬ะ !ӊॎ࿤෸ॖ۠ᆐખ઎ქ‫֔۽״‬෷‫و‬ქґՃዷ߹֔ă‫֔߹ױ‬ෳᅋಗ໼࿤෸ă !Y!,!1/6Z!>!4 !3Y!,!4Z!>!5 !2/! Ѣ!!N8)FRO*ă !•!‫ױ‬Ճዷट࿤෸൥࿒ֽ෶!FRO!੮ျԵ‫ة‬ă ! !3/! Ѣ!!1)bY,cZ>d*!ၭᇗ۠ᆐખ઎ქ‫֔۽״‬෷ă !•!‫ױ‬Ճዷट࿤෸ქ‫ޔ‬൥࿒࿅ืӬࣃಹࡥஎă৹ჾෳᅋ‫ױ‬ಃுพ൩‫֔۽‬෷࿅ื‫و‬቗ă ! !4/! พ൩࿅ื቗ă !1E0.
PAGE 70
!•!ෳᅋ!!c!ࠧ!!f!೰ࡳ!Y!ࠧ!Z!‫و‬ॖ‫و‬࿤෸ă ! !•!ཛྷ༟‫־‬ॖಃுԌ۵࢐࿅ืӬࣃಹࡥஎǈѢ!!Jă !k ၭᇗ‫֔۽‬෷੮ျ !࿒எ࿤෸৹ჾᅋᅢၭᇗ‫֔۽‬෷੮ျ‫و‬Ճዷă !ၭᇗჾ࿒‫֔۽‬෷੮ျǖ! !ቖှჾ࿒ऒՃዷǖ!!!!! !FRO!੮ျԵ‫ة‬࿾ǖ! !۠ᆐખ઎ქ‫֔۽״‬෷! !N8)FRO*!1 !bY,cZ>d! !ൻᆐખ઎ქ‫֔۽״‬෷! !N8)FRO*!2 !bY,cZ,d[>e! !๜ᆐખ઎ქ‫֔۽״‬෷! !N8)FRO*!3 !bY,cZ,d[,eU>f! !ྗᆐખ઎ქ‫֔۽״‬෷! !N8)FRO*!4 !bY,cZ,d[,eU,fV>g! !۠‫֔۽״‬෷! !N8)FRO*!c1 !bY!,cY,d>1! !ൻ‫֔۽״‬෷! !N8)FRO*!c2 !bY!,cY!,dY,e>1! 2 3 2 !ኢᄌ !჻ᇀෳᅋ!FRO!ன෷ቖှࣜ๻ࡍǈӰ‫֔۽ޚ‬෷੮ျट࢙അ‫صׅ‬೐ᇀ࿅ืӬࣃಹࡥஎණพ ൩‫و‬ຑᅘ቗ă !k พ൩࿅ื቗ !ෳᅋ࿅ืӬࣃಹ৹พ൩‫֔۽‬෷࿅ื‫و‬቗ă࿅ืӬࣃಹࡥஎᅘქဗ
PAGE 71
!k Փ৤‫֔۽‬෷‫و‬ॖ !ᇀ࿤෸࿅ืӬࣃಹ෫ǈѢ!!E!࿤෸‫֔۽‬෷‫و‬ॖă !‫֔۽‬෷‫و‬ॖ !•!৹ჾෳᅋ!!c!ࠧ!!f!ᇀ‫ޔۂ‬ॖቐࣺ೐ࡍ߲‫ڑ‬ă !•!ᇀ࿤෸ॖ෫ࡱ৹ჾѢ!!E!ଠ۬࿤෸ຑᅘದດ৹ᅋॖăᇀ࿤෸ዮቷॖ෫ǈѢ!!E!ट۵ ࢐࿅ืӬࣃಹࡥஎă !•!ཛྷ༟‫־‬ॖಃுԌ۵࢐࿅ืӬࣃಹࡥஎǈѢ!!Jă •!!ॖ‫و‬࿤෸‫ޏ‬෷ടৈᅢහ‫وڊ‬࿤෸‫ޏ‬෷හ‫ืݒࠧڊ‬࿤෸‫ޏ‬෷හ‫ڊ‬ă !༇ࣜࣜ๻!)TE0SFH* !৹ᇀ!TE!ன෷ࢪ!SFH!ன෷ቲቖှ༇ࣜࣜ๻ăTE!ன෷ᅋᅢ‫ة‬Ӱફ༇ࣜࣜ๻ǈSFH!ன෷ᅋ ᅢใӰફ࢐ߥࣜ๻Ǆ࿯၂Ă۠‫״‬Ă‫ืڶ‬Ă!e!ቚืĂ!ab!ቚืĂ֓‫۽‬Ă௬࢐ߥǅ ă ! !k ༇ࣜჅӊืয !‫ׅ‬ષӰફ‫ืو‬௅ǈพ൩Ⴥӊืয‫!ڶ֔߹و‬TE!ன෷ࠧ!SFH!ன෷ੂํก࿰ༀ‫و‬ă৹ෳᅋ! TUBU!Ӭࣃಹ઼ӹಃுพ൩Ⴥӊืযă! ! ! TE!ன෷!TUBU!Ӭࣃಹ! SFH!ன෷!TUBU!Ӭࣃಹ !६൩!TE!ன෷!)!,3*!ࢪ!SFH!ன෷!)!,4*!෫ǈ࢙ฑ࿘‫־‬࿦࿰ᄮ‫!و‬TUBU!Ӭࣃಹ
PAGE 72
!A พ൩Ⴥӊืয !ჾ࿒෸ઋ࿤෸൥ࠨᇀ!TE!ன෷ቲพ൩ჾ࿒Ⴥӊืযă !ዩ቗!)Y*!! !౷ଔ!)GSFR*!! !35/6! !5! !36/6! !7! !37/6! !3! !६൩!TE!ன෷ǖ N3(SD) !ᇀ!Y!઼ቲพ൩ዩ቗ǖ 24.5E25.5E26.
PAGE 73
!A ӬࣃჅӊืয !৹ჾෳᅋӊॎቲ‫و‬ԧኊǈቖှჾ࿒!TUBU!ӬࣃಹࡥஎӬࣃՃዷǖໜࡳ‫ة‬ᆐ‫ޏ‬௠൛ĂՏ ൩ှĂՏ൩‫ة‬ᆐ‫ޏ‬Ăක‫ةׅ‬ᆐ‫ࠧޏ‬ක‫ׅ‬ຑᅘ!TUBU!Ӭࣃಹࡥஎืযă !ໜࡳ‫ة‬ᆐ‫ޏ‬௠൛ !ෳᅋߞӶऒटߞӶჰ‫ف‬ეໜࡳದ௠൛‫ةو‬ᆐ‫ޏ‬ǈഹࡍพ൩ຑၖ‫و‬቗ࢪࣜ๻ӹؕ෷ă༾ ֑ࡍѢ!!E!ࣝଆఀ‫و‬พ൩ă !Տ൩ှ !2/! टߞӶჰ‫ف‬ეՏ൩ှ‫཭و‬ብă !3/! Ѣ!!z5)TUBU*!1)Feju*!1)Jot!Spx*ă •!!‫ױ‬ՃዷटटߞӶຑ‫و׌‬ှࠧದ࿒எຑᅘ‫و‬௠൛ဂ࿒ჰ‫ڑ‬ǈԌՏ൩ქ‫ူޔ‬ှă !•!ူՏ൩ှቲ‫و‬ຑᅘ઼‫࢙ڞ‬໤֬คᅋ‫ֽو‬෶യෛ቗Ǆ൥߷࿰ᄮᇘཛྷ!Y!>!1ǈZ!>!1ǈ GSFR!>!2ǅ ă !ක‫ׅ‬ຑᅘ!TUBU!Ӭࣃಹืয !2/! Ѣ!!z5)TUBU*!1)Feju*!2)Efm!Bmm*ă •!!‫ױ‬Ճዷट࿤෸ĐEfmfuf!Bmm!Ebub@đവ്ဳྲă !3/! ეක‫ׅ‬ຑᅘ!TUBU!ӬࣃಹืযǈѢ!!E)Zft*ăეടဋ‫ݡ‬Ճዷۚԥක‫ׅ‬ൌࠨ௠൛ǈѢ! !J)Op*ă
PAGE 74
!k ቖှ‫ة‬Ӱફ༇ࣜࣜ๻ !•!ቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!TE!)!N3*!ዷཛྷࣜ๻ன෷ă !•!ჾ࿒Ճዷ࣯‫ڊ‬჻ॿพ൩ષٞ!82!ო‫و‬Đพ൩Ⴥӊืযđ࿒‫و‬Ⴥӊืযă !A ࿤෸༇ࣜࣜ๻ॕ߷ಃு !‫!ص‬TUBU!ӬࣃಹࡥஎǄҪࠆჅӊืযǅᇀ࿤෸ಹණ‫־‬࿦෫ǈቖှჾ࿒ऒՃዷă z6(RESULT) Ǆෳᅋ c ࠧ f ߲‫ڑ‬ăǅ !࿒எก৹௢‫ࣜو‬๻ॕ߷‫و‬ქ‫ޔ‬෸ઋă! !ኢᄌ •!!ࣜ๻ॕ߷ዮ‫ۂ‬৹࿤෸!21!཭ă !•!۵࢐!TUBU!ӬࣃಹࡥஎǈѢ!!Jă !•!ᅘߔᇀ༇ࣜࣜ๻ॕ߷ಃுණ࿤෸‫و‬቗‫ࠆو‬ᄏࠧᅋᅢූ֑ດ୯‫ާو‬෷ǈഋԸሙĐTE!ன ෷༇ࣜத૚Ը৬đ Ǆٞ!85!ოǅ ă !A ቖှ໎‫ڊ‬༇ࣜࣜ๻ !2/! ‫!ص‬TUBU!Ӭࣃಹࡥஎᇀ࿤෸ಹණ‫־‬࿦෫ǈѢ!!z1)!/DPNQ*ă !•!‫ױ‬Ճዷट࿤෸!DPNQ!ன෷ࣜ๻ಃுă !3/! พ൩ეቖှ‫و‬༇ࣜࣜ๻‫و‬த૚ǈഹࡍѢ!!Eă !•!ઋ൥ǈཛྷവ‫صڊ‬೐พ൩‫و‬Ⴥӊืয‫و‬౿ো቗!)!o*ǈቖှ൥࿒Ճዷă z7(STAT)2(VAR) 2(o)E !࿒
PAGE 75
!A!TE!ன෷༇ࣜத૚Ը৬ !z7)TUBU*!2)WBS*!1 !n! !‫־ه‬Ⴥӊืă! !n = )!xi!ืয࿾ื * !z7)TUBU*!2)WBS*!2 x!¯ ! !‫־ه‬౿ো቗ă ! Σx o= ni x! σn! !‫־ه‬ዜ໛Ӷኼ౭՘ă ! !z7)TUBU*!2)WBS*!3 xσn = Σ(xi – o)2 n x! σn–1! !‫־ه‬ჅӊӶኼ౭՘ă ! !z7)TUBU*!2)WBS*!4 xσn –1 = Σ(xi – o)2 n–1 !z7)TUBU*!2)WBS*!c1 !ƙx2! !‫־ه‬Ⴥӊืয‫و‬౿‫ࠧ۽‬ă !Σx2 = !Σxi2 !z7)TUBU*!2)WBS*!c2 !ƙx! !‫־ه‬Ⴥӊืয‫ࠧو‬ă !Σx = !Σxi ! 7)TUBU*!2)WBS*!cc1 z !njoY!! !വ‫ڊ‬Ⴥӊ‫و‬ዮဏ቗ă !z7)TUBU*!2)WBS*!cc2 !nbyY!! !വ‫ڊ‬Ⴥӊ‫و‬ዮ‫ؙ‬቗ă Ck-74
PAGE 76
!z7)TUBU*!3)EJTUS*!1 !Q)!! ! ᅢዔӰફ!!tǈവ‫ڊ‬Ӷኼቁຢ‫ܖ‬Ԧ!Q)!t*!‫ݣو‬ଔă ‫ڶ‬ P (t) P (t) = 1 2π ∫ ∞t e − x2 dx 2 − 0 t !z7)TUBU*!3)EJTUS*!2 !R)!! !‫ڶ‬ᅢዔӰફ!!tǈവ‫ڊ‬Ӷኼቁຢ‫ܖ‬Ԧ!R)!t*!‫ݣو‬ଔă Q (t) Q (t) = 1 2π ∫  t − 0 e x2 2 dx 0 t !z7)TUBU*!3)EJTUS*!3 ! )!! S !‫ڶ‬ᅢዔӰફ!!tǈവ‫ڊ‬Ӷኼቁຢ‫ܖ‬Ԧ!S)!t*!‫ݣو‬ଔă R (t) R(t) = 1 2π ∫t +∞ e − x2 2 dx 0 t !z7)TUBU*!3)EJTUS*!4 !'u!! !ෳᅋ२૆த૚ቐ೐พ൩‫و‬቗!)Y*!ዷཛྷዔӰફǈෳᅋჾ࿒ާ෷വ‫ڊ‬ӶኼࡧӰફ!!tă X't = X – o !k ቖှใӰફ༇ࣜࣜ๻ !•!ቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!SFH!)!N4*!ዷཛྷࣜ๻ன෷ă !•!ჾ࿒Ճዷ࣯‫ڊ‬჻
PAGE 77
!A ࿤෸༇ࣜࣜ๻ॕ߷ಃு !ᇀ!SFH!ன෷ቲǈ৹ჾ࿤෸઼Ӷኼ౭՘ࣜ๻ჾࣆዜࠧࣜ๻‫و‬ॕ߷ăნ৹ჾ࿤෸໎‫ڊ‬੮ျ ࢐ߥࣜ๻‫و‬ॕ߷ă !ኢᄌ !•!ࣜ๻ॕ߷ዮ‫ۂ‬৹࿤෸!21!཭ă !•!‫ࣜ׹‬๻ॕ߷ಃு۵࢐!TUBU!ӬࣃಹࡥஎǈѢ!!Jă !•!ᅘߔᇀॕ߷ಃுණ࿤෸‫و‬቗‫ࠆو‬ᄏࠧᅋᅢූ֑ດ୯‫ާو‬෷ǈഋԸሙĐSFH!ன෷༇ࣜ த૚Ը৬đ Ǆٞ!89!ოǅ ă !࿤෸Ӷኼ౭՘ࠧዜࠧࣜ๻ॕ߷ಃு !‫!ص‬TUBU!ӬࣃಹࡥஎǄҪࠆჅӊืযǅᇀ࿤෸ಹණ‫־‬࿦෫ǈቖှჾ࿒ऒՃዷă z6(RESULT)1(S-Var) Ǆෳᅋ c ࠧ f ߲‫ڑ‬ăǅ !࿒எก৹௢‫ࣜو‬๻ॕ߷‫و‬ქ‫ޔ‬෸ઋă! !࿤෸࢐ߥࣜ๻ॕ߷ !2/! ‫!ص‬TUBU!ӬࣃಹࡥஎǄҪࠆჅӊืযǅᇀ࿤෸ಹණ‫־‬࿦෫ǈഋቖှჾ࿒ऒՃዷă z6(RESULT)2(Reg) •!!‫ױ‬Ճዷट࿤෸࢐ߥ੮ျԵ‫ة‬ă Ck-76
PAGE 78
!3/! Ѣ‫ڶ‬ᄮၖე࿤෸ದॕ߷‫ߥ࢐و‬੮ျ‫و‬ऒă !ཛྷ࿤෸ჾ࿒੮ျ‫ࣜߥ࢐و‬๻‫و‬ॕ߷ǖ! !࿯၂!)!y!>!!ax!,!!b*! 2 !Ѣჾ࿒ऒǖ! !1)Mjof*! !2)Rvbe*! !۠‫!)!״‬y!>!!ax ,!!bx!,!!c*! !‫!)!ืڶ‬y!>!!a!,!!b!mo!!x*! !3)Mph*! !e!ቚื!)!y!>!!aebx*! !4)!eFyq*! !ab!ቚื!)!y!>!!abx*! !֓‫!)!۽‬y!>!!axb*! !6)Qpxfs*! !௬࢐ߥ!)!y!>!!a!,!!b0!x*! !7)Jow*! !5)!abFyq*! ǄѢ 1 ෫‫و‬෸ઋಃுǅ !࿒எก৹௢‫ࣜو‬๻ॕ߷‫و‬ქ‫ޔ‬෸ઋă! !A ቖှ໎‫ڊ‬༇ࣜࣜ๻ !2/! ‫!ص‬TUBU!Ӭࣃಹࡥஎᇀ࿤෸ಹණ‫־‬࿦෫ǈѢ!!z1)!/DPNQ*ă •!!‫ױ‬Ճዷट࿤෸!DPNQ!ன෷ࣜ๻ಃுă !3/! พ൩ၖეቖှ‫و‬༇ࣜࣜ๻‫و‬த૚ǈഹࡍѢ!!Eă !•!ઋ൥ǈཛྷവ‫صڊ‬೐พ൩Ⴥӊืয‫و‬౿ো቗Ǆ!o!ࠧ!!pǅǈቖှ൥࿒Ճዷă z7(
PAGE 79
!A!ቖှ໎‫ࣜߥ࢐ڊ‬๻ !෸ઋǖ!ෳᅋ൥࿒༇ࣜืযቖှ‫ߥ࢐ืڶ‬ǈჾ‫־ه‬࿰ߔ࿅ืჾࣆ‫!!ص‬x!>!211!෫!!y!‫ࣜ޼و‬቗ !x !y 3! :! !61! !85! !214! !229! 2! /7! 3! 4/6! 4! 9/1! 5! 7/5! 5! 9/:! !2/! ࿤෸‫ࣜߥ࢐ืڶ‬๻ॕ߷ಃுă z6(RESULT)2(Reg)3(Log) !3/! Ѣ!!J!۵࢐!TUBU!Ӭࣃಹࡥஎă !4/! Ѣ!!z1)!/DPNQ*!࿤෸!DPNQ!ன෷ࣜ๻ಃுă !5/! വ‫ڊ‬࿰ߔ࿅ื!s!ჾࣆ!!x!>!211!෫!!y!‫ࣜ޼و‬቗ă !•!࿰ߔ࿅ื z7(STAT)2(VAR) ccc4(r)E !•!!x!>!211!෫!!y!‫ࣜ޼و‬቗ 100z7(STAT)2(VAR) ccc7(n)E !ኢᄌ !•!‫ױ‬෸ઋቲූ֑‫!و‬s!ࠧ!!n!቗กᅋᅢ‫وߥ࢐ืڶ‬ǈᄜཛྷᇀෳᅋࣜ๻ຑၖ቗‫و‬த૚ቐ೐ǈ ᇀٞ!2!ԧቲ࿤෸‫و‬ก‫ࣜߥ࢐ืڶ‬๻ಃுă൥߷ԥ࿘࿤෸ქ‫ޔ‬໎‫ࣜߥ࢐وڊ‬๻ॕ߷ǈ ᇘയෛഉਦ࿒ሦဗத૚ූ֑‫و‬቗ᅋᅢ࿯၂࢐ߥă !•!ᅘ
PAGE 80
!z7)TUBU*!2)WBS*!2 x!¯ ! !‫־ه‬Ⴥӊ!!x!ืয‫و‬౿ো቗ă Σx o= ni x! σn! !z7)TUBU*!2)WBS*!3 !‫־ه‬Ⴥӊ!!x!ืয‫و‬ዜ໛Ӷኼ౭՘ă Σ(xi – o)2 n xσn = x! σn–1! !z7)TUBU*!2)WBS*!4 !‫־ه‬Ⴥӊ!!x!ืয‫و‬ჅӊӶኼ౭՘ă xσn –1 = ! Σ(xi – o)2 n–1 !z7)TUBU*!2)WBS*!5 y!¯ ! !‫־ه‬Ⴥӊ!!y!ืয‫و‬౿ো቗ă Σy p = ni y! σn! ! 7)TUBU*!2)WBS*!6 z !‫־ه‬Ⴥӊ!!y!ืয‫و‬ዜ໛Ӷኼ౭՘ă Σ(yi – y)2 n yσn = y! σn–1! !z7)TUBU*!2)WBS*!7 !‫־ه‬Ⴥӊ!!y!ืয‫و‬ჅӊӶኼ౭՘ă yσn –1 = Σ(yi – y)2 n–1 !ࠧத૚ !z7)TUBU*!2)WBS*!c1 !ƙx2! !‫־ه‬Ⴥӊ!!x!ืয‫و‬౿‫ࠧ۽‬ă! !Σx2 = !Σxi2 !z7)TUBU*!2)
PAGE 81
!z7)TUBU*!2)WBS*!c3 !ƙy2! !‫־ه‬Ⴥӊ!!y!ืয‫و‬౿‫ࠧ۽‬ă! !Σy2 = !Σyi2 ! 7)TUBU*!2)WBS*!c4 z !ƙy! !‫־ه‬Ⴥӊ!!y!ืয‫ࠧو‬ă! !Σy = !Σyi !z7)TUBU*!2)WBS*!c5 !ƙxy! !‫־ه‬Ⴥӊ!!x!ืযࠧ!!y!ืয‫ࠧوࢵ֓و‬ă! ! xiyi !!Σxy = Σ !z7)TUBU*!2)WBS*!c6 !ƙx 3! ! ‫־‬Ⴥӊ!!x!ืয‫و‬઎‫ࠧ۽‬ă! ‫ه‬ !Σx3 = !Σxi3 ! 7)TUBU*!2)WBS*!c7 z !ƙx2y! !‫־ه‬Ⴥӊ!!x!ืয֓ჾჅӊ!!y!ืয‫و‬౿‫ࠧ۽‬ă! !!Σx2y = Σ ! xi2yi !z7)TUBU*!2)WBS*!c8 !ƙx4! ! ‫־‬Ⴥӊ!!x!ืয‫و‬๜‫ࠧو۽״‬ă! ‫ه‬ !Σx4 = !Σxi4 !ዮဏ቗ࠧዮ‫ؙ‬቗த૚ ! 7)TUBU*!2)WBS*!cc1 z !njoY!! !‫־ه‬Ⴥӊ!!x!ืয‫و‬ዮဏ቗ă !z7)TUBU*!2)WBS*!c
PAGE 82
!࢐ߥ࿅ืࠧ޼ࣜ቗த૚ !ჾ࿒த૚‫و־ه‬቗ടৈᅢᅋᅢࣜ๻‫ާߥ࢐و‬෷ăෳᅋ‫ާߥ࢐و‬෷ก࿰ᄮᅢණ‫״‬ᇀ!SFH! ன෷ቲ࿤෸‫ࣜߥ࢐و‬๻ॕ߷ಃுǄٞ!87!ოǅ‫ާߥ࢐و‬෷ă !z7)TUBU*!2)WBS*!ccc1 !b! !‫ާߥ࢐־ه‬෷‫و‬࿅ื!bă !z7)TUBU*!2)WBS*!ccc2 c! ! !‫ާߥ࢐־ه‬෷‫و‬࿅ื!că !z7)TUBU*!2)WBS*!ccc3 d! ! !४‫ߥ࢐״۠ڶ‬቉֞‫ױ‬த૚ă !ດ‫ާߥ࢐־ه‬෷‫و‬࿅ื!dă !z7)TUBU*!2)WBS*!ccc4 s!! !‫־ه‬࿰ߔ࿅ื!să !‫ߥ࢐״۠ڶ‬ԥ቉֞‫ױ‬த૚ă !z7)TUBU*!2)WBS*!ccc5 xˆ! 1! !‫!!־ه‬y!቗Ǆ࣯‫ڊ‬ก२‫ױޘ‬த૚พ൩‫و‬቗ǅ‫!!و‬x!޼ࣜ቗ă !z7)TUBU*!2)WBS*!ccc6 xˆ! 2! !४‫ߥ࢐״۠ڶ‬቉֞‫ױ‬த૚ă !ດ‫!!־ه‬y!቗Ǆ࣯‫ڊ‬ก२‫ױޘ‬த૚พ൩‫و‬቗ǅ‫و‬ٞ۠‫!!ޔ‬x!޼ࣜ቗ă‫ص‬ᇀԥก۠‫ࣜߥ࢐״‬ ๻‫ࣜو‬๻ቲෳᅋ෫ǈ‫ױ‬த૚
PAGE 83
!k ༇ࣜࣜ๻෸ઋ !ӊॎ໗‫ޥ‬ᇀࣜ๻ಹණቖှ‫و‬ქဗ෯࣠༇ࣜࣜ๻෸ઋă !෸ઋ!2ǖ!సӫ‫و‬ӹ࿤෸ዜኢՋၳූืᅘ!2111!൉‫و‬௖ዓቲၳ ቲ!61!‫ޔ‬ၳූ‫و‬ୀԕ‫ื״‬ă !1!വ‫ڊ‬Ⴥӊืয‫و‬౿ো቗ࠧӶኼ౭՘ă !2!࣯‫ڊ‬ዜ໛‫ܖ‬Ԧกቁຢ‫ܖ‬Ԧǈവ‫ڊ‬ୀԕ‫ؙื״‬ᅢ!81!‫و‬ၳූ ‫ܖو‬Ԧ‫ݣ‬ଔă ୀԕ‫!!ื״‬ ၳූื!! 6! 5!–!67! !67!–!69! !69!–!71! !71!–!73! !73!–!75! !75!–!77! !77!–!79! !79!–!81! !81!–!83! !83!–!85! !85!–!87! 2! ! 3! ! 3! ! 6! ! 9! ! :! ! 9! ! 7! ! 5! ! 4! ! 3! ! !Ճዷ߹֔! !ၭᇗ!TE!ன෷ǖ!N3(SD) !༇ࣜ౷ଔහ‫ڊ‬ၭᇗ!GsfrPoǖ !1N(SETUP)!c5(STAT)!1(FreqOn) ! !टୀԕ‫ืื״‬যพ൩!Y!઼ǖ ! !55E57E59E61E63E65E ! !67E69E71E73E75E !टၳූืืযพ൩!GSF
PAGE 84
!෸ઋ!3ǖ!సӫ‫ืو‬য࿤෸ူූۛᇀ‫ࡍූ־‬ԥༀ໢ื‫و‬໛ቺഉ ਦă !1!‫ާߥ࢐־ه‬෷ჾࣆืয࿯၂࢐ߥූ֑‫و‬࿰ߔ࿅ืă !2!‫ާߥ࢐־ه‬෷ჾࣆืয‫و֑ූߥ࢐ืڶ‬࿰ߔ࿅ืă !3!‫ޗ‬যѢሙ࢐ߥॕ߷ዮคࠩืযഗ฀‫ާߥ࢐و‬෷ǈᆊՌ‫ූ־‬ ࡍ!461!໢‫و‬໛ቺă ໢ื!! ໛ቺ! Ǆ৻ǅ! 3! 1! !61! !91! !221! !251! !281! !311! !341! !371! !3:1! !431! 4! 261! !5911! !7531! !8421! !8:51! !97:1! !9911! !:241! !:381! !:421! !:4:1! !Ճዷ߹֔! !ၭᇗ!SFH!ன෷ǖ!N4(REG) !༇ࣜ౷ଔහ‫ڊ‬ၭᇗ!GsfrPggǖ ! ! N(SETUP)!c5(STAT)!2(FreqOff) 1 !ट໢ืืযพ൩!Y!઼ǖ !20E50E80E110E140E170E ! ! !200E230E260E290E320E !ट໛ቺืযพ൩!Z!઼ǖ ! !ce3150E4800E6420E7310E ! ! 7940E8690E
PAGE 85
!ࢱืࣜ๻!!)CBTF.O* !ቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!CBTF.O!)!N2*!ዷཛྷࣜ๻ன෷ă !k ቖှ!!ࢱืࣜ๻ !‫ص‬Ѣ!!N2!६൩!CBTF.O!ன෷෫ǈᇀ࿤෸ಹණ࿤෸‫صو‬೐හ‫ڊ‬൥࿒ă ! ࢱืቚ෸ܻ! ‫ݘ‬቗හ‫ڊ‬ቚ෸ܻ ! !ࢱืቚ෸ܻǖቚ෸‫ص‬೐ࢱืǄऑ࿒ӹǅ ă !‫ݘ‬቗හ‫ڊ‬ቚ෸ܻǖቚ෸กܱᆰၛෳᅋ‫ݘ‬቗ǄഋԸሙٞ!24!ო‫و‬ĐӰ‫!ޚ‬CBTF.
PAGE 86
!A!27!६ቨื቗พ൩ࠧࣜ๻෸ઋ !ෳᅋჾ࿒ऒพ൩!27!६ቨื቗ຑၖ‫و‬ዖா!)B-!C-!D-!E-!F-!G*ă ∠ {A} ( {B} , {C} i ' $ sin–1{D} cos–1{E} tan–1{F} s c t !෸ઋǖ!ၭᇗ!27!६ቨዷཛྷࢱืǈԌࣜ๻!2G!27!!,!2!27! ol(HEX)1t(F)+1E !A ᅘပࣜ๻۶ཙ !‫ص‬හ‫ݘوڊ‬቗හ‫ڊ‬ཛྷĐTjhofeđ෫ !ࢱื!! !ᅘပ۶ཙ!! ! 3!६ቨ! ! ืǖ11111111111111111111111111111111 ቁ !! ! !!x!!
PAGE 87
!෸ઋǖ!ट!21!६ቨื቗!41!21!!Ӱࡳཛྷ!3!६ቨĂ9!६ቨࠧ!27!६ቨ‫ޏ‬෷ ox(DEC)30E i(BIN) 6(OCT) l(HEX) !k ቚ‫ڊ‬໎‫ڊ‬቗‫ืࢱو‬ !‫ص‬พ൩ქ‫ޔ‬቗෫ǈ৹ჾቚ‫ڊ‬ԥༀᅢ‫ص‬೐യෛࢱื‫ืࢱو‬ă !A พ൩ಜࣺቚ‫ืࢱڊ‬ !ઋ൥ǈพ൩!21!६ቨื቗!4ǈ৹ჾෳᅋჾ࿒ऒՃዷቖှă z1(BASE-N) 1(d)3 Ck-86
PAGE 88
!A ෳᅋ!!ቚ‫ࣜืࢱڊ‬๻෸ઋ !෸ઋǖ!ቖှࣜ๻!6!21!!,!6!27!ǈԌჾ!3!६ቨ࿤෸ॕ߷ oi(BIN) z1(BASE-N)1(d)5+ z1(BASE-N)2(h)5E !k ෳᅋ଩ࣃᆱ๻ࠧ‫!وݘ‬3!६ቨื቗ቖှࣜ๻ !ӊࣜ๻ಹ৹ჾቖှ!43!཭!3!६ቨ଩ࣃᆱ๻ࠧ‫ݘ‬቗ࣜ๻ă൥࿒ຑᅘ෸ઋ‫ڞ‬กᇀट!3!६ቨ! )!i)CJO**!හ‫ڊ‬ཛྷയෛࢱื‫و‬ഉਦ࿒ቖှ‫و‬ă !ኢᄌ !‫!وݘ‬3!६ቨĂ9!६ቨࠧ!27!६ቨื቗৹໼߹ട!3!६ቨ!3!‫و‬ԣଵǈഹࡍटॕ߷۵࢐ᆓࢱ ืۚූ֑ă‫ڶ‬ᅢ!21!६ቨࢱืǈෳᅋ‫ࠟݘ‬࿤෸‫ݘ‬቗ă !A!଩ࣃࢵ!)boe* !۵࢐཭ᅳ‫و‬ॕ߷ă !෸ઋǖ!2121!3!!boe!2211!3!!>!2111!3! 1010z1(BASE-N) c3(and)1100E !A!଩ࣃࠧ!)ps* !۵࢐཭ࢪ‫و‬ॕ߷ă !෸ઋǖ!2122!3!!ps!22121!3!!>!22122!3! 1011z1(BASE-N) c4(or)11010E !A!఩ຓ଩ࣃࠧ!)yps* !۵࢐఩ຓ଩ࣃࠧ‫و‬ॕ߷ă !෸ઋǖ!2121
PAGE 89
!෸ઋǖ!!2222!3!!yops!212!3!!>!22222222222222222222222222221212!3! 1111z1(BASE-N) c6(xnor)101E !A!ԣଵ 0 ഓ۴!)Opu* !۵࢐ԣଵǄ཭ഓ۴ǅ‫و‬ॕ߷ă !෸ઋǖ!!Opu)2121!3!*!>!22222222222222222222222222221212!3! z1(BASE-N)c2(Not) 1010)E !A!‫)!܇‬Ofh* !۵࢐ქ‫ޔ‬቗‫!و‬3!ԣଵă४‫ݘص‬቗හ‫ڊ‬ཛྷĐTjhofeđ෫ԯ቉֞‫܇‬ă! !෸ઋǖ!!Ofh)212212!3!*!>!22222222222222222222222222121122!3! z1(BASE-N)c1(Neg) 101101)E !DBMD !DBMD!ෳ‫ه‬൛ᄁ‫ڶ‬ҪࠆӰફ‫و‬ӹؕ෷ഓॖăพ൩ӹؕ෷ቐࡍǈቝၖพ൩Ӱફ‫و‬቗࣊৹ࣜ ๻ॕ߷ă৹ჾ‫״ۂ‬Ӱ‫ޚ‬Ӱફ቗ă !DBMD!४৹ᅋᅢ!DPNQ!ன෷!)!N1*ă !k ෳᅋ!DBMD !พ൩ҪࠆӰફ‫و‬ӹؕ෷ǈഹࡍѢ!!s!ऒ৹࿤෸Đ‫ݑ‬቗ಃுđ ǈ৹ჾᅋᅢဂ୧‫
PAGE 90
!෸ઋǖ!ཛྷӹؕ෷!4!ġ!B!,!C!‫ݑ‬቗!B!>!6ĂC!>!4!ࠧ!B!>!6ĂC!>!21 b 3*S0(A)+S'(B) s Ǆ‫ױ‬Ճዷ৹࿤෸‫ݑ‬቗ಃுă ! ǅ !‫ݑ‬቗ A = 5 ࠧ B = 3ǖ 5E3E !ቖှࣜ๻ǖ E !ᆿ‫״‬࿤෸‫ݑ‬቗ಃுǖ s !B!ү֞ԥӰǈट!21!‫ݑ‬ᅰ!Cǖ c10E !ቖှࣜ๻ǖ E !ኢᄌ !•!൥߷ၭᇗಗ໼࿤෸ዷཛྷࣜ๻ಹ‫و‬࿤෸‫ޏ‬෷ǈᇘ‫ݑ‬቗ಃுქ‫״‬४࿤෸ქ‫ޔ‬Ӱફă !•!ෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ᇀӰફቐࣺჰ‫ڑ‬ǈၭᇗეพ൩‫و‬Ӱફă !ቺე෼࿾ƽ! !ᇀ‫ݑ‬቗ಃுණԥ௢ෳᅋჾ࿒‫ޢ‬௢ă !•!พ൩ࠧ࿤෸‫ืݒ‬ !•!TPMWF!‫ޢ‬௢ Ck-89
PAGE 91
!A!ᇀ‫ݑ‬቗ಃுණ࿤෸ኢงྲྀӊ !৹ჾෳᅋჾ࿒শۨဂෳᅋ!DBMD!พ൩‫و‬ӹؕ෷໣ࣩኢงྲྀӊǖ# ኢงྲྀӊ #!;!| ࣜ๻ӹؕ ෷ ~ă‫ݡ‬ኢงྲྀӊटᇀ‫ݑ‬቗ಃு‫ڇ‬ှໜࡳӹؕ෷ۚ࿤෸ă !෸ઋǖ!ෳᅋ!DBMD!ࠧพ൩!#BSFB#;!T!>!B!ġ!C!Ģ!3ǈ‫ݑ‬቗!B!>!8ĂC!>!9ǈഹࡍቖှࣜ๻ B 1S(;-LOCK)!(")i(A)/(R)c(E) i(A)!(")1!(:)S1(S)S~(=) S0(A)*S'(B)/2 s 7E8E E !TPMWF!‫ޢ‬௢ !TPMWF!‫ޢ‬௢ෳᅋࢱᅢఇ‫ڊڻ‬ଓ‫و‬॰๞ॖ‫֔۽‬෷ăTPMWF!‫ޢ‬௢४৹ᅋᅢ!DPNQ!ன෷! )!N1*ă !k!TPMWF!‫ޢ‬௢቉֞‫و‬ӹؕ෷ !TPMWF!‫ޢ‬௢቉֞พ൩ჾ࿒‫ޏ‬෷‫֔۽و‬෷ !෸ઋǖ!Z!>!Y!,!6-!Y!>!tjo)N*ĂY!,!4!>!C!,!DĂYZ!,!DǄญཛྷ!YZ!,!D!>!1ǅ !ቺე෼࿾ƽ !•!TPMWF!‫ޢ‬௢‫֔۽و‬෷ԥ቉֞ჾ࿒‫ޢ‬௢ă! !.!พ൩ࢵ‫ܖ‬Ăཔ‫ܖ‬Ă!Σ)ĂQpm)!ࠧ!Sfd)!ࠉื !.
PAGE 92
. Ǆ‫ױ‬Ճዷ৹࿤෸‫ݑ‬቗ಃுă ! ǅ 0E 1E 1E -2E !ट!1!‫ݑ‬ᅰ!Zǖ ट!2!‫ݑ‬ᅰ!Bǖ! !ཛྷ!Y!พ൩ქ‫ֽޔ‬෶቗Ǆ‫׌ױ‬พ൩!2ǅ ǖ ट!–3!‫ݑ‬ᅰ!Cǖ !ቚ‫ڊ‬ეഓॖ‫و‬Ӱફǖ f Ǆ‫྄׌ױ‬୯ე‫!ڶ‬Y!ഓॖǈຑჾट‫ݽ‬ભ࿤෸ჰ‫!ف‬Yă ! ǅ !ॖ‫֔۽‬෷ǖ .
PAGE 93
!A!ॖಃு௠൛ !TPMWF!‫ޢ‬௢‫و‬ॖಃு࿤෸൥࿒ဳྲă b !‫֔۽‬෷ Ǆพ൩‫֔۽و‬෷ăǅ ! ഓॖӰફ! ॖ ǄዳՊǅ–ǄᅚՊǅ‫و‬ॕ߷ ! !•!ॖ෶ቷჾဏื‫ޏ‬෷࿤෸ă !•!‫ص‬ၭᇗಗ໼࿤෸ዷཛྷࣜ๻ಹ‫و‬࿤෸‫ޏ‬෷෫ǈ ĐY>đࠧĐM–Sđሦ઩ှ࢙ᇀქှ࿤෸ă ൥߷ᇀಃுණԥ௢ഩԩ࿤෸ქှቲ‫و‬ഩԩืযǈ৹ෳᅋ!!e!ࠧ!!d!߲‫ڑ‬ă !•Đ !ǄዳՊǅ–ǄᅚՊǅ‫و‬ॕ߷đ࿤෸‫ص‬ट‫و־ه‬቗‫ݑ‬ᅰቁᇀഓॖ‫و‬Ӱફࡍ‫֔۽‬෷ዳՊऋ ᅚՊ‫و‬ॕ߷ă‫ױ‬ॕ߷ᆣे॰!1ǈॖ‫ڪॽو‬ᆣ‫ݽ‬ă !A ቁᇀഗ॰ಃு !‫!ص‬TPMWF!‫ޢ‬௢ᇀ६ှქ‫ࣜوڊ‬๻ቐࡍྐۨ‫־ه‬ॖ෫ǈ࿤෸ಹණ࢙࿤෸൥࿒ቁᇀഗ॰ಃ ுă‫ص‬࿤෸‫ױ‬ಃு෫ǈѢ!!E!ट࣢ၦࣜ๻ă b !ቲ‫ڱ‬ቁᇀ६ှ‫ࣜو‬๻ՃዷǈѢ!!oă !‫ךืࠉ׹‬जืӹ!)UBCMF* !ቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!UBCMF!)!N7*!ዷཛྷࣜ๻ன෷ă !k!UBCMF!ன෷‫ݣ‬ะ !! !! !UBCMF!ன෷৹ჾ‫ך‬ज!!x!ࠧ!!f )!x*!ืӹǈ‫
PAGE 94
!ᇀӹؕ෷Ӭࣃಹࡥஎණพ൩ !! 3! !2 !෸ઋǖ!พ൩!!f )!x*!>!!x !,!!! 3! B S0(X)x+'1c2 !ኢᄌ !•!ᇀพ൩ಜࣺഅ‫ׅ‬ಃுǈѢ!!oă !•!ᇀӹؕ෷Ӭࣃಹࡥஎණǈพ൩‫!ׅو‬Y!ቐ༶‫و‬ൌࠨದດӰફटญཛྷ቗ǄѢሙ‫ص‬೐‫ݑ‬ᅰ ດ‫و‬቗ǅ ă !A ӹ۶ཙಃு !Ѣ!!E!ࣝଆᇀӹؕ෷Ӭࣃಹࡥஎණพ൩‫و‬ӹؕ෷ǈ৹࿤෸൥࿒ӹ۶ཙಃுă !ෳᅋ‫ױ‬ಃு৹ቚ‫!!ڊ‬x!቗‫و‬෶቗!)Tubsu*Ăቷ቗!)Foe*!ࠧԧ቗!)Tufq*ǈোᅋᅢූ֑ืӹă !ቚ‫ڊ‬෶቗Ăቷ቗ࠧԧ቗ !2/! ᇀӹ۶ཙಃுණǈෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ეӰ‫وޚ‬හ‫ڊ‬ă !3/! พ൩ຑၖ‫و‬቗ࢪӹؕ෷ă !•!ᇀพ൩ಜࣺഅ‫ׅ‬ಃுǈѢ!!oă !•!ᇀพ൩ಜࣺѢ!!J!ट‫ױف಼܅‬෫ཛྷቛ‫و‬ຑᅘพ൩ǈԌࢎ‫ݒ‬࿘೐ᇀಃுණพ൩‫و‬቗ă !4/! พ൩ຑၖ‫و‬ຑᅘ௠൛ࡍǈѢ!!Eă !•!‫ױ‬Ճዷ৹ࣝଆຑዷ‫و‬พ൩ă൥߷พ൩‫و‬กӹؕ෷ǈᇘࣝଆ‫ݡ‬ӹؕ෷‫ࣜو‬๻ॕ߷ă !•!‫ݽص‬ભ࿤෸ൌࠨහ‫ڊ‬෫ǈѢ!!E
PAGE 95
!•!‫ص‬ქ‫ޔ‬቗ᇀ቗࿤෸ഘᅺቲ෫ǈ৹ჾෳᅋ!FOH!ӰࡳǄٞ!63!ოǅ Ă71!६ቨ .21!६ቨӰࡳ Ǆٞ!38!ოǅࢪဏื .
PAGE 96
!௠ብާ෷ !ӊࣜ๻ಹ‫؞‬ᅘ!239!‫ޔ‬ԥༀ‫ืو‬ၳާ෷ࠧ৶࣒ާ෷ă௠ብާ෷४৹ᅋᅢ!DPNQ!ன෷! )!N1*ă !k ෳᅋ௠ብާ෷ !A พ൩ዖܻ๩ຏ௠ብާ෷ !2/! Ѣ!!Gă !•!‫ױ‬Ճዷ࿤෸௠ብާ෷‫و‬ዖா๋ၠԵ‫ة‬ă !3/! พ൩ຑၖ௠ብާ෷ண֎‫و‬ٞქ‫ޔ‬ዖாă !•!ઋ൥ǈ൥߷ე‫ٻ‬ᅋ!Tfdups!BsfbǄඤြஎࢵǅާ෷ǈѢ!!1)T*ă‫ױ‬Ճዷटኪჰ‫ާف‬ ෷Ե‫ة‬ቲண֎ჾቚ‫وڊ‬ዖாǄ‫ױ‬෸ઋቲཛྷĐTđ ǅ৚་‫و‬ԩ‫ܖ‬ăண֎ჾ‫ݡ‬ዖா৚་ ‫و‬ٞქ‫ާޔ‬෷ट‫ݽ‬ભ࿤෸ǈӹ෸ດกၭቲ‫و‬ăෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸߲‫فڑ‬ ຑၖ‫ާو‬෷Ǆ‫ױ‬෸ઋቲཛྷĐTfdups!Bsfbđ ǅă 1(S) ! !•!ᅑᅢਅࣺ࿮ቨǈ࿤෸ಹණ࿤෸‫ާو‬෷ண֎กຍဢ‫و‬ăᅘߔާ෷‫و‬༾ሿ઼ӹĂດ୯ ‫و‬ຍဢண֎ࠧ༾ሿண֎ǈഋԸሙĐ௠ብާ෷ண֎đ Ǆٞ!:7!ოǅ ă !A ߲‫ڑ‬Ե‫ة‬๩ຏ௠ብާ෷ !2/! Ѣ!!Gă !3/! ෳᅋ!!c!ࠧ!!f!߲‫ڑ‬௠ብާ෷ண֎ǈቓ‫ف‬ၭቲე‫ٻ‬ᅋ‫ާو‬෷ă !A ෳᅋ
PAGE 97
!พ൩!b!>!9Ăc!>!6!ࠧ!d!>!6ǖ 8E5E5E E Ǆ‫ױ‬Ճዷट࿤෸ࣜ๻ॕ߷ă ! ǅ! !•!൥ණຑ෸ǈဂຑᅘӤၖӰફ‫ݑ‬቗ቐࡍ࢙࿤෸ࣜ๻ॕ߷ă •!!൥߷ᅘූ֑‫ޔۂ‬ॕ߷‫ާو‬෷Ǆ൥!! /Z!Ӱࡳǅ ǈᇘ‫ص‬࿤෸ಹණ࿤෸ٞქ‫ࣜޔ‬๻ॕ߷෫ǈ ! !Q!ܻࠟट‫ؘ‬৚ăѢ!!E!࿤෸‫ާݡ‬෷ූ֑‫و‬ದດॕ߷ă‫ص‬࿤෸ಹණ࿤෸ዮࡍქ‫ޔ‬ॕ ߷෫ǈ!Q!ܻࠟटߔӡă !•!‫ص‬࿤෸ಹණ࿤෸ዮࡍქ‫ޔ‬ॕ߷෫Ǆ!Q!ܻࠟߔӡǅ ǈѢ!!E!ट‫׹‬་ቺူቖှ‫ާݡ‬෷ă !A!࿤෸௠ብާ෷ !‫ص‬࿤෸ಹණ࿤෸໗෸พ൩ާ෷Ӱફ቗෫ǈ৹ჾѢ!!z6)MPPL*!࿤෸ሿ‫ާޔ‬෷ă !ෳᅋ!!e!ࠧ!!d!ऒዳᅚ߲‫ާڑ‬෷ă! !Ѣ!!J!ࢪ!!w!۵࢐Ѣ!!z6)MPPL*!ቐ೐࿤෸‫و‬ಃுă! ! !k ௠ብާ෷ண֎ !ᅘߔ୧‫ޔ‬௠ብާ෷ෳᅋ‫ࣜو‬๻ާ෷‫و‬࿺࿈ဳྲǈഋԸሙ‫ڢة‬ԣ֬ዊ઻ቲ‫=!و‬$1:?ă !ၠࠟ!! !2! !3! !4! !5! !6! !7! !8! !9! !:! !21! !22! !23! !24! !࿤෸ண֎!! 3
PAGE 98
!ၠࠟ!! !25! !26! !27! !28! !29! !2:! !31! !32! !33! !34! !35! !36! !37! !38! !39! !3:! !41! !42! !43! !44! !45! !46! !47! !48! !49! !4:! !51! !52! !53! !54! !55! !56! !57! !58! !59! !5:! !61! !62! !63! !࿤෸ண֎!! ! bsopuDzdFg3! D !DfousjGpsdf2! D ! fousjGpsdf3! D ! ipseXbsWfm! !DjsdDpof!Mbu! !DjsdDpof!Wpm! D ! jsdDzmjoMbu! !DjsdDzmjoWpm! !DjsdNpuDzd!2! !DjsdNpuDzd!3! !DjsdNpuDzd!4! !Djsdmf!Bsfb! !DpoevduSftjt! !Dpou!Frvb!2! !Dpou!Frvb!3! !Dpow!Z!/ !Dpow!! /Z! !Dppse!Dbmd! !DptjoUifpsfn! !Dpvmpncď tMbx! D ! vc
PAGE 99
!ၠࠟ!! !64! !65! !66! !67! !68! !69! !6:! !71! !72! !73! !74! !75! !76! !77! !78! !79! !7:! !81! !82! !83! !84! !85! !86! !87! !88! !89! !8:! !91! !92! !93! !94! !95! !96! !97! !98! !99! !9:! !:1! !:2! !࿤෸ண֎!! ! fbuRvboujuz! I !IfspoGpsnvmb! !IzqfsHfpn!QE! !J!F!Gpsdf! !JemHbtTubFr2! !JemHbtTubFr3! !JemHbtTubFr4! !JemHbtTubFr5! !JodDsjuBohmf! !JoevdNbhoFos! J!outfdDppse2! J!outfdDppse3! !Kpvmf!Mbx!2! K! pvmf!Mbx!3! L ! jofujd!Fos! M! D!T.Djs!DS! M! S!T.DjsJnq! M! SD!Q.DjsJnq! !MSD!T.
PAGE 100
!ၠࠟ!! !:3! !:4! !:5! !:6! !:7! !:8! !:9! !::! !211! !212! !213! !214! !215! !216! !217! !218! !219! !21:! !221! !222! !223! !224! !225! !226! !227! !228! !229! !22:! !231! !232! !233! !234! !235! !236! !237! !238! !239! !࿤෸ண֎!! ! vbe!Bsfb! R S ! !U.WpmuDioh! !SD!T.DjsJnq! !SbejUsbwfstf! !SfgsbdSfmJoe! !Sfqfbu!Dpncj! !SfqfbuQfsnvu! S ! fzopmet!Ovn! !SpubuCpezFos! !T.
PAGE 101
!k ᅋ࡟ާ෷ !‫ׅ‬ષࣜ๻ಹ‫و‬௠ብާ෷ǈნ৹ჾዔှพ൩ާ෷‫ޥ‬ჾࡍၖე෫‫ٻ‬ᅋăࡱ৹ჾෳᅋԥༀ‫و‬ ண֎،‫׈‬௠ብާ෷ԌѢၖეӬࣃದ௠൛ă‫ך‬ज‫و‬ჾࣆෳᅋຑၖದດண֎ү،‫ާو‬෷֎ ཛྷĐᅋ࡟ާ෷đ ă! !ቺე෼࿾ƽ !ᅋ࡟ާ෷෯࣠ණกᆱှன෷ཛྷĐGpsnvmbđ‫֔و‬ၠă‫ص‬ቖှჾ࿒߹֔෫ǈნ֎ཛྷĐ֔ၠ ன෷!)QSPH*đ Ǆٞ!213!ოǅ ă !A ෳᅋԥༀண֎ү،௠ብާ෷ !2/! Ѣ!!G!࿤෸௠ብާ෷Ե‫ة‬ă !•!ᅘߔ‫و֔߹ױ‬࿺࿈ဳྲǈഋԸሙĐෳᅋ௠ብާ෷đ Ǆٞ!:6!ოǅ ă !3/! Ѣ!!z2)Tbwf!gpsnvmb*ă !•!‫ױ‬Ճዷट࿤෸ྲྀऔணพ൩ಃுǈԌዔ‫ڑ‬टࣜ๻ಹ‫و‬ऒర ຐ‫ڊ‬ཛྷዖா‫ޏ‬෷!)!1S*ă !4/! ‫ྲྀڶ‬औணዮ‫ۂ‬พ൩!23!‫ޔ‬ዖܻǈഹࡍѢ!!wă !•!‫ױ‬Ճዷѿቚ‫وڊ‬௠ብާ෷૙،ཛྷქ‫֔ޔ‬ၠǄᅋ࡟ާ෷ǅ ǈ࿤෸!Gnmb!Mjtu!ಃுǈԌ‫ݽ‬ ભ࿤෸‫ݳݳ‬ү،‫و‬ᅋ࡟ާ෷ă !•!‫׌ױ‬৹ჾ໼߹Ѣ!!w!ቖှ‫ݳݳ‬ү،‫و‬ᅋ࡟ާ෷ă !5/! Ѣ!!J!ߔӡ!Gnmb!Mjt
PAGE 102
!A!‫ך‬जࠧү،ူާ෷ !2/! Ѣ!!N5)QSPH*!६൩!QSPH!ன෷ă !3/! Ѣ!!1)OFX*ă !•!‫ױ‬Ճዷ࿤෸ྲྀऔணพ൩ಃுǈԌዔ‫ڑ‬टࣜ๻ಹ‫و‬ऒరຐ‫ڊ‬ཛྷዖா‫ޏ‬෷!)!1S*ă !4/! ‫ྲྀڶ‬औணዮ‫ۂ‬พ൩! 23! ‫ޔ‬ዖܻǈഹࡍѢ!Eă ! !•!‫ױ‬ՃዷࣝଆྲྀऔணԌ࿤෸ᆱှன෷ၭᇗಃுă !5/! Ѣ!!3)Gpsnvmb*!ჾၭᇗ!Gpsnvmb!ன෷ă !•!‫ױ‬Ճዷट࿤෸ާ෷Ӭࣃಃுă !6/! พ൩ާ෷ă !•!ᅘߔ৹ჾพ൩‫و‬ӹؕ෷ĂӰફࠧዖܻ‫ྲဳو‬ǈഋԸሙĐާ෷ӬࣃಃுՃዷđ Ǆٞ! 212!ოǅ ă! !7/! ༾֑พ൩ቐࡍǈѢ!!Jă !•!‫ױ‬ՃዷटӰ‫ޚ‬ཛྷ!QSPH!ன෷!Gnmb!Feju!ྲྀऔԵ‫ة‬ǈᅢก࢙࿤෸჻ү،ާ෷‫ྲྀو‬औணă !A!Ӭࣃ࿦ᅘᅋ࡟ާ෷ !ഋԸሙĐӬࣃ࿦ᅘ֔ၠđ Ǆٞ!216!ოǅ ă !A!ާ෷ӬࣃಃுՃዷ !ާ෷Ӭࣃಃுᅋᅢෳᅋူண֎ү،௠ብާ෷ĂӬࣃާ෷ࠧ‫ך‬जူާ෷ăᇀާ෷Ӭࣃಃ ுණ৹ቖှჾ࿒Ճዷă !•!ާ෷Ӭࣃಃு቉֞พ൩৹ჾෳᅋ!DBMD!พ൩‫ࣜو‬๻ާ෷Ǆٞ!99!ო
PAGE 103
!A!ෳᅋᅋ࡟ާ෷ቖှࣜ๻ !ᅑᅢᅋ࡟ާ෷ү،ཛྷ֔ၠǈຑჾቖှᅋ࡟ާ෷‫֔߹و‬ᅳቖှ֔ၠ‫֔߹و‬࿰ༀăᅘߔ‫ױ‬ ߹֔‫و‬࿺࿈ဳྲǈഋԸሙĐ‫!׹‬Qsph!Mjtu!ࢪ!Gnmb!Mjtu!ಃுᆱှ֔ၠđ Ǆٞ!217!ოǅ ă !ቖှᅋ࡟ާ෷ࡍ‫و‬ՃዷǄဂӰફ‫ݑ‬቗ǅᅳቖှ௠ብާ෷ࡍ‫و‬Ճዷ࿰ༀă ! !֔ၠன෷!)QSPH* !৹ჾෳᅋ!QSPH!ன෷!)!N5*!‫ך‬जࠧ،‫׈‬ၖე‫ڊ‬ಜቖှ‫ࣜو‬๻֔ၠă৹ჾᇀ،‫֔׈‬ၠ ෫ཛྷದቚ‫ڊ‬ქ‫ޔ‬ண֎ǈሦ৹ईࡧ‫ٻ‬ᅋĂӬࣃĂක‫ׅࠧ‬ದດྲྀऔߘ੻Ճዷă !k ֔ၠன෷‫ݣ‬ะ !A ቚ‫֔ڊ‬ၠᆱှன෷ !‫ך‬जူ֔ၠ෫ǈၖეቚ‫ڊ‬ದĐᆱှன෷đ ǈ࣊ᆱှ֔ၠ‫ࣜو‬๻ಹன෷ăᅘൻቸᆱှன෷ǖ DPNQĂCBTF.O!ࠧ!Gpsnvmbă !‫֔ص‬ၠҪࠆჾ࿒௠൛෫ǖ! !ၭᇗჾ࿒ᆱှன෷ǖ! ! !DPNQ!ன෷ቲቖှ‫ࣜو‬๻ǄҪਸ਼পሷĂ‫ࠧืݒ‬༇ ᇀ ࣜࣜ๻ǅ ! !DPNQ! !ᇀ!CBTF.O!ன෷ቲቖှ‫ࣜو‬๻! C ! BTF.
PAGE 104
!k ‫ך‬ज֔ၠ !A ‫ך‬जူ֔ၠ !෸ઋǖ!‫ך‬जქ‫֔ޔ‬ၠǈവ‫ڊ‬ൻ‫ߢޔ‬ᇘѹஎ໛‫و‬ӹஎࢵࠧ໛ࢵǈӫլ‫ܖ‬Ӽ ཛྷ!8!dnĂ21!dn!ࠧ!26!dn !࿒எกᅋᅢവ‫ڊ‬჻ቌӫլ!)B*!෫ࣜ๻ߢᇘѹஎ໛ӹஎࢵ!)T*!ࠧ໛ࢵ!)Wǅ ! ‫ާو‬෷ă ! 3 !B! T!>!3!' 4!B!-!W!>!' 2 A 3 4 !ჾ࿒֔ၠ໗෸พ൩!BǈഹࡍѢሙණะ֔ၠพ‫!־‬T!ࠧ!Wă ! #B#!@!→B 2 ! 3!ġ!!')4*!ġ!B!^ 3 ! ! )3*!Ģ!4!ġ!B! ' !•!ቚ‫!ڊ‬DPNQ!ዷཛྷ‫֔ݡ‬ၠ‫و‬ᆱှன෷ǈԌቚ‫ྲྀڊ‬औணĐPDUBIFESPOđ ă! !Ճዷ߹֔ !2/! Ѣ!!N5)QSPH*!६൩!QSPH!ன෷ă !•!‫֔ױ‬ၠ࿤෸Đ֔ၠԵ‫ة‬đಃுă !3/! Ѣ!!1)OFX*ă •!!‫ױ‬Ճዷ࿤෸ྲྀऔணพ൩ಃுǈԌዔ‫ڑ‬टࣜ๻ಹ‫و‬ऒరຐ ‫ڊ‬ཛྷዖா‫ޏ‬෷!)!1S*ă !4/! ‫ྲྀڶ‬औணዮ‫ۂ‬พ൩!23!‫ޔ‬ዖܻǈഹࡍѢ!!Eă •!!‫ױ‬ՃዷࣝଆྲྀऔணǈԌ࿤෸ᆱှன෷ၭᇗಃுă 5(O)$
PAGE 105
!6/! พ൩֔ၠă !•!‫׌ױ‬พ൩൥࿒֔ၠă S!(")Si(A)S!(") z3(PROG)1(?)z3(PROG)2(→)Si(A)E 2*!3)*Si(A)x1x(^) !2)/3*Si(A)63) !•!Ѣ!!E!พ൩ࡳှܻࠟ!)!_*ă !7/! ༾֑พ൩ሿ‫֔ޔ‬ၠࡍǈѢ!!Jă •!!‫ױ‬Ճዷ࿤෸!Qsph!Feju!ྲྀऔԵ‫ة‬Ǆٞ!216!ოǅ ă‫ݳ‬พ൩‫و‬ ֔ၠணट࢙ᇀಃுණ‫ݽ‬ભ࿤෸Ǆၭቲǅ ă ! !8/! ժฎᆱှ‫ךݳ‬ज‫֔و‬ၠ!)PDUBIFESPO*ă ! Ѣ!!J!࿤෸Đ֔ၠԵ‫ة‬đಃுǈഹࡍѢ!!2)SVO*ă !•!‫ױ‬Ճዷ৹࿤෸!Qsph!Mjtu!ಃுăѢ!!E!ᆱှ!Qsph!Mjtu!ಃ ுණ‫ص‬೐ண֎‫ݽ‬ભ࿤෸Ǆၭቲǅ‫֔و‬ၠă !9/! ᅑᅢĐPDUBIFESPOđ჻‫ݽ‬ભ࿤෸ǈቝၖѢ!!E!࣊৹ᆱှă !ᆱှ‫֔ݡ‬ၠǖ E Ǆ‫ױ‬Ճዷ࿤෸໗෸พ൩Ӱફ ! B ‫و‬቗ăǅ ! ‫!ڶ‬B!พ൩!8ǖ 7E Ǆ‫ױ‬Ճዷ࿤෸ࣜ๻‫و־‬ӹஎࢵॕ߷ ! Tăǅ !֔ၠቲ‫!^!!و‬த૚ෳದᇃ໷Ԍ࿤෸‫ױف‬෫ཛྷቛ‫ࣜو‬
PAGE 106
!A ֔ၠத૚ !ᇀ֔ၠӬࣃಃுණǈၭᇗ!!z!–!|QSPH~!࿤෸ქ‫ޔ‬৹ᅋᅢพ൩த૚‫֔و‬ၠத૚Ե‫ة‬ă z – {PROG} c f c f !ኢᄌ !•!ᇀԵ‫ة‬ණ࿤෸‫و‬৹พ൩‫֔و‬ၠத૚ടৈᅢ֔ၠ‫و‬ᆱှன෷ăᅘߔ‫ྲဳۂޚ‬ǈ ഋԸሙ Đத ૚Ը৬đ Ǆٞ!221!ოǅ ă !•!‫ص‬࿤෸ಹණ࿤෸!DPNQ!ன෷ࢪ!CBTF.O!ன෷ࣜ๻ಃு෫ǈნ৹ჾෳᅋණะ߹֔พ൩த ૚ă‫د‬กǈኢᄌ‫ڶص‬࿤෸‫ޏ‬෷හ‫ڊ‬ၭᇗಗ໼࿤෸෫ǈ४৹ᇀ!DPNQ!ன෷ቲԯ৹พ൩ Ӱફ‫ݑ‬቗த૚!)!/*ă !•!ᇀ!CBTF.O!ன෷ࣜ๻ಃுණԥ௢พ൩ஹဗத૚ăᅘߔ‫ྲဳۂޚ‬ǈ ഋԸሙĐத૚Ը৬đ Ǆٞ! 221!ოǅ ă !A!Ӭࣃ࿦ᅘ֔ၠ !2/! Ѣ!!N5)QSPH*!3)FEJU*ă •!!‫ױ‬Ճዷ৹࿤෸!Qsph!Feju!ࢪ!Gnmb!Feju!ྲྀऔԵ‫ة‬ă !3/! Ѣ!!e!ࢪ!!d!৹ᇀ!Qsph!Feju!ࠧ!Gnmb!Feju!ྲྀऔԵ‫ة‬ቐࣺ೰ࡳă ! !ཛྷӬࣃෳᅋჾ࿒ᆱှன෷‫֔و‬ၠǖ! !࿤෸ჾ࿒ಃுǖ! !DPNQ!ࢪ!CBTF.
PAGE 107
!5/! ෳᅋ!!e!ࠧ!!d!टߞӶჰ‫֔ف‬ၠණǈԌቖှӤၖ‫و‬ՃዷǈӬࣃ‫֔ݡ‬ၠ‫و‬௠൛ࢪ໣ࣩ ူ‫و‬௠൛ă !•!৹ჾѢ!!1f!໮ባ֔ၠ‫و‬৚་ǈࢪѢ!!1c!໮ባॕཤă !6/! ᇀ‫ޗ‬যၖეහ‫ڊ‬ષ֔ၠ௠൛ࡍǈѢ!!Jă !k ᆱှ֔ၠ !৹ჾ!DPNQ!ன෷ĂCBTF.O!ன෷ࢪ!QSPH!ன෷ቖှ࿦ᅘ֔ၠă !ኢᄌ •!!൥߷‫!׹‬QSPH!ன෷ᆱှ֔ၠǈᇘ֔ၠ༾֑ࡍѢ!!E!ࢪ!!J!ट۵࢐!Qsph!Mjtu!ࢪ!Gnmb! Mjtu!ಃுăᅑᅢ‫ݳݳ‬ᆱှ֔ၠ‫و‬ண֎ᇀ!Qsph!Mjtu!ࢪ!Gnmb!Mjtu!ಃுණ‫ݽ‬ભ࿤෸ǈ߆৹ ໼߹Ѣ!!E!ᆿ‫״‬ᆱှດă !•!൥߷‫!׹‬DPNQ!ன෷ࢪ!CBTF.O!ன෷ᆱှ֔ၠǈᇘ֔ၠ༾֑ࡍѢ!!E!ᇘᆿ‫״‬ᆱှༀქ ֔ၠăѢ!!J!ԥ࢙ቖှൌࠨՃዷă •!!ቲ‫֔ڱ‬ၠ‫و‬ቖှǈѢ!!oă !A ‫!׹‬Qsph!Mjtu!ࢪ!Gnmb!Mjtu!ಃுᆱှ֔ၠ !2/! ቖှჾ࿒Ճዷቐქă !.!ᇀ!QSPH!ன෷ቲ࿤෸ಹණ࿤෸Đ֔ၠԵ‫ة‬đಃு෫ǈѢ!!2)SVO*ă !.
PAGE 108
!A ෳᅋ!Qsph!த૚ᆱှ֔ၠ !Qsph!৹ᅋᅢቚ‫֔ڊ‬ၠྲྀऔணԌቓे‫!׹‬DPNQ!ன෷ࢪ!CBTF.O!ன෷ᆱှ‫֔ݡ‬ၠăഋᇀ! DPNQ!ன෷ࢪ!CBTF.O!ன෷ቲቖှჾ࿒߹֔ă !ቺე෼࿾ƽ !൥߷ୣᅘෳᅋ!Qsph!த૚ቚ‫ྲྀوڊ‬औண‫֔و‬ၠǈᇘटۢූኪჰؓྥǄHp!FSSPSǅ ă !෸ઋǖ!ෳᅋ!Qsph!த૚ቖှணཛྷĐPDUBIFESPOđ‫֔و‬ၠ b o1/(Prog) 1S(;-LOCK)!(") 5(O)e(C)2(T)0(A))(H)c(E) s(D)/(R)5(O)4(N)!(") E Ǆ‫ױ‬Ճዷᆱှ‫֔ݡ‬ၠă ! ǅ !A ‫־‬࿦ؓྥဳྲ෫‫و‬Ճዷ !൥߷‫־‬࿦ؓྥဳྲǈᇘ৹ჾѢჾ࿒ൌࠨऒჾഅ‫ྲဳྥׅؓ‬ǖ!JĂ!d!ࢪ!!eă๾ࡍۢ ූ‫و‬෼ഉടৈᅢฎ༐ᆱှ‫֔ݡ‬ၠ෫ෳᅋ‫ࣜو‬๻ಹன෷ă !DPNQ!ன෷ࢪ!CBTF.
PAGE 109
!ኢᄌ !‫ص‬അ‫ࡍྲဳྥׅؓ‬ǈࣜ๻ಹዔ‫ڑ‬६൩‫و‬ன෷ടৈᅢ‫֔ݡ‬ၠ‫و‬ᆱှன෷ǈ൥࿒ຑ෸ă !֔ၠᆱှன෷!! !ࣜ๻ன෷!! !DPNQ!ன෷ࢪ!Gpsnvmb!ன෷! D ! PNQ!ன෷! !CBTF.O!ன෷! C ! BTF.
PAGE 110
!A टྲྀऔண໣ࣩ‫ف‬ĐGbwpsjuftđ !৹ჾटիᅋ֔ၠ‫ྲྀو‬औண໣ࣩ‫ف‬ĐGbwpsjuftđ ǈ‫ױ‬Ճዷෳ‫ݡ‬ண֎ᇀྲྀऔಃு‫ڇو‬ԩ࿤෸ă !Ճዷ߹֔ !2/! ᇀྲྀऔಃுණǈ‫ݽ‬ભ࿤෸ၖე໣ࣩ‫ف‬ĐGbwpsjuftđ‫ྲྀو‬औணă !3/! Ѣ!!z1)Gbwpsjuf.Bee*ă !•!‫ױ‬Ճዷᇀྲྀऔಃு‫ڇو‬ԩ࿤෸‫ྲྀݡ‬औணă! !ኢᄌ •!!໣ࣩ‫ف‬ĐGbwpsjuftđ‫ྲྀو‬औணࣞᇀྲྀऔಃு‫ڇو‬ԩ࿤෸ǈნᇀྲྀऔಃுቲದಗ໼ዖா ๋ၠ཭ብ࿤෸ă !•!‫ص‬໼߹พ൩֔ၠྲྀऔண‫و‬ٞქ‫ޔ‬ዖா๩ຏྲྀऔ෫ǈ ԥ࢙ंՓĐGbwpsjuftđቲྲྀऔ‫و‬ண֎ă !•!ྲྀऔಃு‫ڇ‬ԩ‫و‬ĐGbwpsjuftđྲྀऔணᅳದດண֎ቐࣺෳᅋქ໫࿯‫ޒ‬৚ă !•!໣ࣩ‫ف‬ĐGbwpsjuftđቲ‫ྲྀو‬औண࢙ჾ໣ࣩ‫๋و‬ၠ࿤෸Ǆԥჾዖா๋ၠǅ ă !A ‫׹‬ĐGbwpsjuftđቲක‫ྲྀׅ‬औண !2/! ᇀྲྀऔಃு‫و‬ĐGbwpsjuftđྲྀऔண઼ӹǄ‫ޒܖ‬࿯ණ‫۽‬ǅቲǈ ‫ݽ‬ભ࿤෸ၖეක‫ྲྀوׅ‬औணă! !3/! Ѣ!!z1)Gbwpsjuf.
PAGE 111
!ᆃක‫ׅ‬ෳᅋჾ࿒ᆱှன෷‫֔و‬ၠǖ! !࿤෸ჾ࿒ಃுǖ! !DPNQ!ࢪ!CBTF.
PAGE 112
(!1x) !^Ǆพ‫־‬த૚ǅ !! ! !শۨ! !‫ޢ‬௢! !෸ઋ! !ኢᄌ! = ᅷশ ?!^= ᅷশ ? ᇃ໷֔ၠ‫و‬ቖှԌ࿤෸‫ص‬೐ቖှ‫و‬ॕ߷ă‫֔ص‬ၠ‫و‬ቖှᅑ‫ױ‬த૚ᇃ໷෫ǈ !Q!ܻࠟ‫ؘ‬৚ă 3! 3 @!!→!B!;!B!!!^!Bot! ᅑ!!^!த૚ᇃ໷‫֔و‬ၠቖှ৹໼߹Ѣ!!E!ऒ࣢ၦǈ‫ױ‬Ճዷ‫!^!!׹‬த૚ࡍ࣢ ၦቖှ֔ၠă !@!! Ǆพ൩໗෸ǅ ! !শۨ!2! !‫ޢ‬௢!2! !෸ઋ!2! !শۨ!3! !‫ޢ‬௢!3! ! !෸ઋ!3! @!!→!= Ӱફ ? #= ዖܻ‫? ה‬#@!→!= Ӱફ ? ဂӰફ‫ݑ‬቗ă‫֔ص‬ၠ‫و‬ቖှ‫ױؕف‬த૚෫ǈ ᇀ࿤෸ಹණट‫־‬࿦พ൩໗෸ Đ@đ ࢪĐ= ዖܻ‫@? ה‬đ ă @!!→!B @= Ӱફ ? #= ዖܻ‫? ה‬#@= Ӱફ ? ဂӰફ‫ݑ‬቗ă‫֔ص‬ၠ‫و‬ቖှ‫ױؕف‬த૚෫ǈᇀ࿤෸ಹණट‫־‬࿦พ൩໗෸ Đ= Ӱફ ?@đࢪĐ= ዖܻ‫@? ה‬đ ă ᅳ!@!!→!= Ӱફ ?!শۨԥქჅǈ‫ױ‬শۨҗ๾໗෸ܻ࿤෸‫ݡ‬Ӱફ‫صو‬೐቗ă ൥߷࿼ᄮ‫ݡ‬໗෸Ѣ
PAGE 113
!A ኪჰத૚ !Hpup!!Mcm! Hpup!!n!;!////!;!Mcm!!n!ࢪ!Mcm!!n!;!////!;!Hpup!!nǄ!n!ก‫!׹‬1!‫!ف‬:!ቐࣺ‫و‬ሿืǈࢪ‫!׹‬ B!‫![!ف‬ቐࣺ‫و‬Ӱફண֎ă ǅ !‫ޢ‬௢! ቖှ!Hpup!!n!࢙ኪჰ‫ف‬࿰ᄮ‫!و‬Mcm!!nă !෸ઋ! @!!→!B!;!Mcm!2!;!@!!→!C!;!B!ġ!C!Ģ!3!!^!Hpup!2 !ቺე෼࿾ƽ! ൥߷ᇀ!Hpup!!n!ຑ‫و׌‬ༀქ֔ၠቲୣᅘ࿰ᄮ‫!و‬Mcm!!nǈ ᇘ࢙ۢූኪჰؓྥ )Hp! FSSPS*ă !শۨ! !Et{!! Ǆ١ऋǈ൥߷ٌᅢ!1!ᇘ໮߹ǅ ! !শۨ! !‫ޢ‬௢! !෸ઋ! Et{!= Ӱફ ?!;!= ᅷশ!2?!;!= ᅷশ!3?!;!/// ट!= Ӱફ ?!‫و‬቗١ऋ!2ă= Ӱફ ?!቗‫܇‬૏ǈᇘቖှ!= ᅷশ!2?ǈഹࡍቖှ! = ᅷশ!3?!ჾࣆࡍஎ‫و‬ຑᅘ௠൛ă= Ӱફ ?!቗ཛྷ૏ǈᇘ࢙໮߹!= ᅷশ!2?! ࠧ!= ᅷশ!3?!ჾࣆቖှ‫ݡ‬த૚ࡍ‫و‬ຑᅘ௠൛ă 21!!→!B!;!1!!→!D!;!Mcm
PAGE 114
!Jg!ᅷশኢᄌ෼࿾ !•!Jg!ᅷশӤၙ෶ቷҗ๾ᅘ!Uifo!ᅷশă ෳᅋ!Jg!ۚୣᅘ࿰ᄮ‫!و‬Uifo!टդූশۨؓྥ )Tzouby! FSSPS*ă !•!ӹؕ෷ĂSfuvso!ࢪ!Tupq!த૚৹ᅋዷ!Uifo!ࠧ!Fmtf!ࡍஎ‫ =!و‬ӹؕ෷ +?ă !Jg!!Uifo!)!Fmtf*!!JgFoe! !শۨ! !‫ޢ‬௢! ! ! !෸ઋ!2! !෸ઋ!3! Jg!= ໫औӹؕ෷ ?!;Uifo!= ӹؕ෷ +?!;Fmtf!= ӹؕ෷ +?!;JgFoe!;= ᅷশ ?!;!/// •! Uifo!ࡍஎ‫و‬ᅷশ࢙ቖှ‫!ف‬Fmtfǈഹࡍ‫!ص‬Jg!ࡍஎ‫و‬໫औᅷশཛྷሪ෫ቖှ! JgFoe!ࡍஎ‫و‬ᅷশă‫!ص‬Jg!ࡍஎ‫و‬໫औᅷশཛྷ࣯෫ǈ࢙࿘ቖှ!Fmtf!ࡍஎ‫و‬ ᅷশǈഹࡍቖှ!JgFoe!ࡍஎ‫و‬ᅷশă •!ĐFmtf= ӹؕ෷ ?đ৹ჾෛଞă •! ӤၙᅘĐJgFoeđ ăෛଞດԥ࢙ؓྥǈ‫د‬ஹဗ֔ၠ௠൛৹௢࢙ᅑᅢ!Jg!ᅷ শቐࡍ‫و‬ຑᅘ௠൛‫ـ‬ቤᄌ༶‫و‬ቖှॕ߷ă @!!→!B!;!Jg!B!=!21!;!Uifo!21B!!^!Fmtf
PAGE 115
!A!ਈቨॕ޵த૚ǖXijmf!ᅷশ !Xijmf!!XijmfFoe!! !শۨ! !‫ޢ‬௢! !෸ઋ! !ኢᄌ! ! )DPNQ*! Xijmf!= ໫औᅷশ ?!;!= ᅷশ ?!;!///!= ᅷশ ?!;!XijmfFoe!;!/// ቝე!Xijmf!ࡍஎ‫و‬໫औᅷশཛྷሪǄ‫܇‬૏ǅ ǈᇘ‫!׹‬Xijmf!‫!ف‬XijmfFoe!ቐࣺ‫و‬ ᅷশট࢙ቺ‫ݒ‬ă‫!ص‬Xijmf!ࡍஎ‫و‬ᅷশӰཛྷ࣯!)1*!෫ǈᇘቖှ!XijmfFoe!ࡍ எ‫و‬ᅷশă 3! @!!→!B!;!Xijmf!B!=!21!;!B!!!^!B!,!2!!→!B!;!XijmfFoe!;!B!Ģ!3 •! ൥߷ٞქ‫״‬ቖှ‫ױ‬த૚!Xijmf!ᅷশ‫و‬໫औ࣊ཛྷ࣯ǈᇘቖှ࢙ቓे໮ባ! XijmfFoe!ࡍஎ‫و‬ᅷশǈۚქ‫ڞ״‬ԥቖှ‫!׹‬Xijmf!‫!ف‬XijmfFoe!ቐࣺ‫و‬ᅷশă •! ཛྷพ൩!XijmfFoe!த૚ǈഋᇀ‫ޢ‬௢Ե‫ة‬ණၭᇗĐXĄFoeđ ă !Ep!!MqXijmf!! !শۨ! !‫ޢ‬௢! !෸ઋ! !ኢᄌ! )DPNQ*! Ep!;!= ᅷশ
PAGE 116
! ! •! ኢᄌዓ֔ၠ௠‫!و‬Hpup!!Mcm!ኪჰ४৹ᇀༀქዓ֔ၠ௠ቖှă •! ൥߷ᅑᅢஹቸᆓᄜሖԥ‫!ف‬Qsph!# ྲྀऔண #!த૚ቚ‫֔وڊ‬ၠǈᇘ࢙ۢූኪ ჰؓྥǄHp!FSSPS*ă ! ! ! ቺ ! ე෼࿾ƽ! •! ෳᅋ!Gpsnvmb!ዷཛྷᆱှன෷‫֔و‬ၠԥ௢ᅋዷዓ֔ၠă •! ኙ֔ၠࠧዓ֔ၠӤၙกༀქᆱှன෷ăሦᄌཨዅǈফ‫ޔ‬ઋዓํǈᆱှ ன෷ཛྷ!CBTF.
PAGE 117
!‫ޢ‬௢! ۵࢐൥࿒‫ؠ‬ଵቐქǄ‫ڶ‬ᄮѢ‫و‬ዮࡍქ‫ޔ‬ऒǅ ă൥߷སѢऒǈᇘ۵࢐!1ă 84 81 83 82 ! !ኢᄌ! !෸ઋ! 86 85 71 72 73 74 75 76 61 62 63 64 65 66 51 52 53 54 55 56 41 42 43 44 45 46 31 32 33 34 21 22 23 24 35 36 37 77 67 25 26 27 57 47 87 Hfulfz!த૚৹ჾՏ൩ᅳืၳࠉื࿰ༀ‫و‬ӹؕ෷ă! Ep!;!Dmt!;!Mpdbuf!2-2-!Sbo$!;!Mpdbuf!2-3-!#QSFTT!1#!;!MqXijmf!Hfulfz!!≠ 36 !A ࿤෸ಃுத૚ !#!!#! !শۨ! !‫ޢ‬௢! ! ///!;!#= ዖܻ‫? ה‬#!;!/// टਸ਼ᇀᄧࠟ!)#!#*!ቲ‫و‬ዖாืዖዖܻĂத૚ࢪದດྲྀӊ࿤෸ཛྷኢงྲྀӊă ൥߷ᅘմ߹!27!‫ޔ‬ዖܻǈᇘྲྀӊ࢙ࡳှă൥߷‫ص‬೐ှกಃு‫و‬ٛှǈᇘ ‫ص‬ቖှྲྀӊࡳှ෫ǈಃு௠
PAGE 118
!A!଩ࣃᆱ๻ዓத૚ !Boe!! !শۨ! !‫ޢ‬௢! !෸ઋ! )DPNQ*! = ӹؕ෷ ?!Boe!= ӹؕ෷ ? ᆱ๻઩‫وڭ‬ӹؕ෷Ǆ࿰ٌࢪԥ࿰ٌǅ ǈԌࢱᅢດ୯‫و‬଩ࣃࢵ۵࢐ሪࢪ࣯ă @!!→!B!;!@!!→!C!;!Jg!B!>!3!Boe!C!?!1!;!Uifo!B!Ģ!C!;!Fmtf!C!;!JgFoe !Ps!! !শۨ! !‫ޢ‬௢! !෸ઋ! )DPNQ*! = ӹؕ෷ ?!Ps!= ӹؕ෷ ? ᆱ๻઩‫وڭ‬ӹؕ෷Ǆ࿰ٌࢪԥ࿰ٌǅ ǈԌࢱᅢດ୯‫و‬଩ࣃࠧ۵࢐ሪࢪ࣯ă Xijmf!B!=!21!Ps!C!=!6!;!B!,!C!!^!B!,!2!!→!B!;!C!,!2!!→!C!;!XijmfFoe !Opu!! !শۨ! !‫ޢ‬௢! !෸ઋ! )DPNQ*! Opu!= ӹؕ෷ ? ᆱ๻ࡍஎ२૆‫و‬ӹؕ෷Ǆ࿰ٌࢪԥ࿰ٌǅ ǈԌ۵࢐ದ‫܇‬቗ă Ep!;!@!!→!B!;!B!ġ!3!!→!C!;!C!!^!MqXijmf!Opu!C!=!21 !A!അ‫ׅ‬த૚ !৹ჾ‫׹‬ၭᇗ!!z!–!|DMS~!෫‫־‬࿦‫و‬Ե‫ة‬ණพ൩ืযഅ‫ׅ‬த૚ă
PAGE 119
!k ༇ࣜࣜ๻த૚ !৹ჾ‫׹‬ၭᇗ!!z!–!|TUBU~!෫‫־‬࿦‫و‬Ե‫ة‬ණǈพ൩༇ࣜࣜ๻த૚ă !ኢᄌ !ᅘߔᅋᅢࣜ๻౿ো቗ĂӶኼ౭՘ࠧದດ༇ࣜ቗‫ޔةو‬த૚‫ྲဳو‬ǈഋԸሙĐ༇ࣜࣜ๻! )TE0SFH*đ Ǆٞ!81!ოǅ ă !x!઼ӹத૚ǖ!z!–!|TUBU~!1)MJTU* !|!~!! Ǆพ൩઼ӹǅ ! !শۨ! !‫ޢ‬௢! !෸ઋ! )DPNQ*! ///!;!|= ӹؕ෷ ?!-!= ӹؕ෷ ?!-!////-!= ӹؕ෷ ?~!!→!Mjtu!=Y!-!Z!-!Gsfr?!;!/// ဂ઼ӹቚ‫઼ڊ‬ӹืযă ऑ࿒எ‫!و‬Mjtu!த૚ă !Mjtu!! Ǆ઼ӹՃዷǅ ! !শۨ! ! ! ! ! ! ! !‫ޢ‬௢! !෸ઋ! ! ! )DPNQ*! ! !///!;!= ઼ӹืয ?!!→!Mjtu!=Y!-!Z!-!Gsfr?!;!///!!!!///Ǆဂ઼ӹቚ‫઼ڊ‬ӹืযă ǅ 1 !2!///!;!= ӹؕ෷ ?!!→!Mjtu!=Y!-!Z!-!Gsfr?!\= ቗!) ‫ة‬ᆐ‫཭ޏ‬ብ *?^!;!/// ! !////////////
PAGE 120
!k ದດ!QSPH!ன෷த૚ !ӊॎஐะ४௢ᇀ!QSPH!ன෷ቲෳᅋ‫و‬த૚ăኢᄌ୧‫ޔ‬த૚४௢ᇀෳᅋத૚ண֎ᅚՊ‫و‬ Đ)DPNQ*đࢪĐ)CBTF.
PAGE 121
!FohPo-!FohPgg!! !শۨ! ! !‫ޢ‬௢! )DPNQ*! ///!;!FohPo!;!/// ///!;!FohPgg!;!/// ሦ઩‫ޔ‬த૚‫ؘ‬৚‫)!ܻࠟ֔ޠ‬FohPo*!ࢪߔӡ‫)!ܻࠟ֔ޠ‬FohPgg*ă !b,cj-!s!!∠Ƨ! !শۨ! ! !‫ޢ‬௢! )DPNQ*! ///!;!b,c!j!;!/// ///!;!s!∠Ƨ!;!/// ቚ‫ڊ‬ᄮෳᅋቓऻዸӶ‫ޏ‬෷!)!a,!bi*!ࡱกࣁዸӶ‫ޏ‬෷!)!r∠Ƨ*!ዷཛྷ‫ࣜืݒ‬๻ॕ ߷‫و‬࿤෸‫ޏ‬෷ă !༇ࣜ౷ଔහ‫ڊ‬த૚ !GsfrPo-!GsfrPgg!! !শۨ! ! !‫ޢ‬௢! )DPNQ*! ///!;!GsfrPo!;!/// ///!;!GsfrPgg!;!/// ሦ઩‫ޔ‬த૚‫ؘ‬৚༇ࣜ౷ଔ!)GsfrPo*!ࢪߔӡ༇ࣜ౷ଔ!)GsfrPgg*ă !A!ࢱื!!த૚ !Efd-!Ify-!Cjo-!Pdu!! !শۨ! !‫ޢ‬௢! )CBTF.
PAGE 122
!ืয໼ဳ!)MJOL* !ืয໼ဳ৹ჾᅋᅢᇀ઩‫!ޔ‬gy.6911Q!ࣜ๻ಹቐࣺ‫ב‬พ֔ၠă !k ट઩‫!ޔ‬gy.6911Q!ࣜ๻ಹ࡝࿰ઘे !ઘे઩‫ࣜޔ‬๻ಹၖეᅘქ‫ޔ‬৹ၭ޶‫ืو‬য໼ဳ࿯!)TC.73*ă !A ઘेࣜ๻ಹ !൥࿒༐ຑ෸ઘेืয໼ဳ࿯ă ! ! !k ᇀ!gy.6911Q!ࣜ๻ಹቐࣺ‫ב‬พืয !ઘे઩‫!ޔ‬gy.
PAGE 123
!•!ืয‫ב‬พ༾֑ࡍǈۢ๥‫ेࠧ۽‬ฏ‫و۽‬ಃுো࢙Ӱ‫ޚ‬ཛྷ ᅚՊ࿤෸‫ྲဳو‬ă !A ‫ב‬พ໎‫֔ڊ‬ၠ !2/! ᇀेฏࣜ๻ಹǄेฏ‫۽‬ǅණቖှჾ࿒Ճዷǈटದහ‫ڊ‬ཛྷ‫أ‬ฏኴຢă Nc1(LINK)2(Receive) !3/! ᇀۢ๥ࣜ๻ಹǄۢ๥‫۽‬ǅණǈቖှჾ࿒Ճዷă Nc1(LINK)1(Transmit)2(Select) !4/! ᇀۢ๥‫۽‬ණǈෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ၖე‫ב‬พ‫֔و‬ၠǈഹࡍѢ!!1)TFM*ă !•!ሦटᇀ‫ྲྀݡ‬औண‫و‬ዳՊ࿤෸ქ‫ޔ‬Đ!'đӶࣝǈӹ෸჻ၭቲດ६ှ‫ב‬พă୧‫״‬Ѣ! !1)TFM*!‫ڞ‬ट࢙೰ࡳྲྀऔணసӫĐ!'đӶࣝ࿤෸‫و‬৚ǄၭቲǅߔǄԥၭቲǅ ă! !•!ቺ‫ݒ‬ٞ!4!ԧǈቓ‫ف‬ၖე‫ב‬พ‫و‬ຑᅘ֔ၠ‫و‬ண֎సӫ‫ڞ‬࿤෸Đ!'đӶࣝă !5/! ၭᇗຑၖຑᅘྲྀऔቐࡍǈѢۢ๥‫۽‬ණ‫!!و‬0)USBO*ă •!!ሦटᇀۢ๥‫و۽‬࿤෸ಹණ࿤෸ĐUsbotnju!PL@đ ă! !6/! ৚෶‫ב‬พ֔ၠǈѢۢ๥‫۽‬ණ‫!و‬Eă ! •!!ᇀืয‫ב‬พಜࣺǈۢ๥‫و۽‬
PAGE 124
!ෳᅋቁᇀ‫ۢ׹‬๥‫ב۽‬พ‫֔و‬ၠട‫صؠ‬೐ेฏ‫۽‬ቲ‫֔و‬ၠǈѢ!!1)Zft*ă൥߷ԥ࿻ട‫ؠ‬ ेฏ‫۽‬،‫׈‬ಹቲ‫ྲྀو‬औǈᇘѢ!!0)Op*ă‫ױ‬Ճዷट໮߹࿰ᄮ֔ၠ‫בو‬พǈ৚෶‫ב‬พ࿒ქ ‫֔ޔ‬ၠă !،‫׈‬ಹߘ੻ಹ!)NFNPSZ* !،‫׈‬ಹߘ੻ಹกქ‫ޔ‬ᅋᅢක‫ׅࣜ‬๻ಹ،‫׈‬ಹቲ،‫ืو׈‬য‫ޠو‬঱ă !ኢᄌ !‫׌ױ‬ǈฯᅷĐක‫ׅ‬đ঱ᅘჾ࿒ࠆᄏă !•!ֽ෶ࡧǄഅ૏ǅࠧහ‫!ڊ‬Bmqib!Nfnpsz! •!!ක‫ׅ‬ຑᅘದດืয੮ျࠧ،‫׈‬ಹྲྀऔ !ቖှӊॎቲ‫و‬෸ઋՃዷǈฑ࿘ၭᇗ!NFNPSZ!)!Nc2*!ዷ ཛྷன෷ă !•!‫ױ‬Ճዷट࿤෸Đ،‫׈‬ಹߘ੻ಹđಃுǈ৹໗‫ޥ‬،‫׈‬ಹቲԥ ༀ੮ျืয‫و‬Ե‫ة‬ă !k ৹ක‫ืׅ‬য੮ျࠧ቉֞‫و‬ක‫ׅ‬Ճዷ !࿒எ઼‫־‬৹ჾෳᅋ،‫׈‬ಹߘ੻ಹක‫ืوׅ‬য੮ျă! !ืয੮ျ!! !ืযண֎!! !቉֞‫و‬ක‫ׅ‬Ճዷ!! !֔ၠ! =! QSPHSBN?! ഩ ! ԩක‫ࢪׅ‬໎‫ڊ‬ක‫!!ׅ‬ !ᅋ࡟ާ෷! =! GPSNVMB?! ഩ !
PAGE 125
k ෳᅋ،‫׈‬ಹߘ੻ಹ !A ၭᇗၖეක‫ืوׅ‬য !2/! ෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ၖეක‫ืوׅ‬যࢪืযྲྀऔࣦ‫و‬ண֎‫׌‬ă !3/! Ѣ!!1)TFM*ă !•!ሦटᇀ‫ݡ‬ண֎‫و‬ዳՊ࿤෸ქ‫ޔ‬Đ!'đӶࣝǈӹ෸჻ၭቲ Ԍ६ှක‫ׅ‬ă !•!୧‫״‬Ѣ!!1)TFM*!োट࢙೰ࡳண֎సӫ‫و‬Đ!'đӶࣝ࿤෸‫و‬৚ǄၭቲǅߔǄԥၭቲǅ ă !•!ࣸਸ਼ࠟ!)=!?*!ਸ਼ಲੂ‫ืو‬যண֎ǈӹ෸ืযྲྀऔࣦă‫׌ױ‬ၭᇗืযྲྀऔࣦटක‫ݡׅ‬ ྲྀऔࣦቲ‫و‬ຑᅘืযă !4/! Ѣၖეቺ‫ݒ‬ٞ!2!ԧࠧٞ!3!ԧჾၭᇗຑၖ‫و‬ຑᅘืযண֎ă !A!ၭᇗྲྀऔࣦቲ‫و‬໎‫ืڊ‬য࿾ !2/! ෳᅋ!c!ࠧ!! ! f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬Ҫࠆეක‫ืوׅ‬য‫و‬ ืযྲྀऔࣦண֎ă !3/! Ѣ!!E!६൩‫ྲྀݡ‬औࣦă !•!‫ױ‬Ճዷट࿤෸ࠆ‫ྲྀݡ‬औࣦቲҪࠆ‫و‬ຑᅘืয࿾‫و‬Ե‫ة‬ă !4/! ෳᅋ!!c!ࠧ!!f!ट‫ݽ‬ભ࿤෸ჰ‫ف‬ეක‫ืوׅ‬য‫و‬ண֎ǈഹࡍѢ!!1)TFM*ă !•!ሦटᇀ‫ݡ‬ண֎‫و‬ዳՊ࿤෸ქ‫ޔ‬Đ!'đӶࣝ
PAGE 126
!‫ݛ‬ଆ !k ࣜ๻‫و‬ᅍ࿘๋ၠ !ࣜ๻ಹѢሙ൥࿒ᅍ࿘๋ၠቖှఀพ൩‫ࣜو‬๻ă !•! ࢱӊණǈࣜ๻ก‫׹‬ዳ‫ف‬ᅚቖှă !•! ਸ਼ࠟቲࣜ๻ᅍ࿘ă ๋ၠ!! Ճዷ੮ျ!! ஐะ!! 1 !‫؞‬ਸ਼ࠟ‫!ืࠉو‬ Pol(, Rec( 2 2 ∫(, d/dx(, d /dx (, Σ(, P(, Q(, R( –1 –1 –1 sin(, cos(, tan(, sin (, cos (, tan (, sinh(, –1 –1 –1 cosh(, tanh(, sinh (, cosh (, tanh ( 3 log(, ln(, e^(, 10^(, '(, '( Arg(, Abs(, ReP(, ImP(, Conjg( Not(, Neg(, Det(, Trn(, Rnd( Int(, Frac(, Intg( 2 ! எᅘ቗‫ืࠉو‬ ೐ !֓‫۽‬ǈ֓‫ޗ۽‬ !ӶኼࡧӰફ !҇‫ܖ‬Ӕ !FOH!ܻࠟ! x2, x–1, x!, °’ ”, °, r, g ^(, x'( 't % m, ƫ, n, p, f, k, M, G, T, P 3 !‫!ืܖ‬
PAGE 127
!ኢᄌ! !•! ൥߷ࣜ๻Ҫࠆ‫ݘ‬቗ǈ৹௢ၖეट‫ݘ‬቗ਸ਼ᇀਸ਼ࠟቲăઋ൥ǈ൥߷ეഓ!–3!‫و‬౿‫۽‬ǈၖეพ൩ǖ 3! 3! )–3*!ăሦกᄜཛྷ!!x !ก೐எᅘ቗‫ืࠉو‬Ǆණะᅍ࿘࣌!3ǅǈದᅍ࿘࣌‫ؙ‬ᅢ‫ࠟݘ‬ǈ‫ࠟݘ‬ก೐ብ ‫ࠟݘ‬Ǆᅍ࿘࣌!5ǅă ! -2wE! ! (-2)wE!! 3! –3!!>!–5 3! )–3*!!>!5 •!! ֓‫ׅ‬ჾࣆෛଞ֓ࠟ‫֓و‬ཛྷༀქᅍ࿘࣌Ǆᅍ࿘࣌!8ǅǈຑჾ‫ص‬ᇀༀქࣜ๻ቲࢤᅋሦ઩ቸ੮ျ෫ǈ ᆱ๻ट‫׹‬ዳ‫ف‬ᅚቖှăटᆱ๻ਸ਼ᇀਸ਼ࠟቲ৹ჾෳದ࿘ቖှǈຑჾෳᅋਸ਼࢙ࠟդූԥༀ‫ࣜو‬ ๻ॕ߷ă ! b/c0w! ! 2!Ģ!3!i!>!1/6!i ! !!b/(c0)w! 2!Ģ!)3!i*!>!–1/6!i !k ‫ڳ‬ᇿ࿮ቨ !ӊࣜ๻ಹෳᅋ֎ཛྷĐ‫ڳ‬ᇿđ‫و‬،‫׈‬ಹഘᅺૅ෫،‫ࣜ׈‬๻ᅍ࿘๋ၠृّ‫و‬቗Ăத૚ࠧࠉืăĐื ዖ‫ڳ‬ᇿđᅘ!21!Սǈ Đத૚‫ڳ‬ᇿđᅘ!37!Սǈ൥࿒༐ຑ෸ă !ᇀ!UBCMF!ࠧ!SFDVS!ன෷ቲǈத૚‫ڳ‬ᇿ४ᅘ!36!ՍǄӔಗ໼ഉਦ࿒ඵ!2!Սǅ ă ! ! ืዖ‫ڳ‬ᇿ! 3
PAGE 128
!A!ࠉืࣜ๻‫و‬พ൩۶ཙࠧॽവ‫ڪ‬ ࠉื!! sinx cosx tanx sin–1x cos–1x tan–1x sinhx coshx พ൩۶ཙ!! DEG 0 < | x | < 9×109 RAD 0 < | x | < 157079632.7 GRA 0 < | x | < 1×1010 DEG 0 < | x | < 9×109 RAD 0 < | x | < 157079632.7 GRA 0 < | x | < 1×1010 DEG ᅳ sinx ࿰ༀǈჾ࿒ഉਦ‫ׅ‬༶ǖ| x | = (2n–1)×90ă RAD ᅳ sinx ࿰ༀǈჾ࿒ഉਦ‫ׅ‬༶ǖ| x | = (2n–1)×π/2ă GRA ᅳ sinx ࿰ༀǈჾ࿒ഉਦ‫ׅ‬༶ǖ| x | = (2n–1)×100ă 0<|x|<1 0 < | x | < 9.999999999×1099 0 < | x | < 230.2585092 sinh–1x 0 < | x | < 4.999999999×1099 cosh–1x 1 < x < 4.
PAGE 129
ࠉื!! พ൩۶ཙ!! 0 < r < 9.
PAGE 130
!A ؓྥဳྲԸ৬ !ӊॎ઼‫ࣜ־‬๻ಹ࿤෸‫و‬ຑᅘؓྥဳྲǈჾࣆດ୯‫و‬ᆓᄜࠧӨஊດ୯ຑၖე‫و‬Ճዷă ؓྥဳྲ!! ᆓᄜ!! Ճዷ!! !•! ࣜ๻‫و‬ቲࣺॕ߷ࢪዮቷॕ߷մ‫־‬ ᆰၛ‫ࣜو‬๻۶ཙă !•! พ൩቗մ‫־‬ᆰၛ‫و‬พ൩۶ཙă !•! ఀฎ༐ቖှ‫ืوۨ܇‬ၳᆱ๻Ǆ൥ ‫ׅ‬ჾ!1ǅă !•!ट‫ืݒ‬พ൩ཛྷࠉื‫و‬ዔӰફă! !•! ंՓพ൩቗ԌѢၖეऋඵ཭ืă !•! ‫ص‬ෳᅋ‫ڢ‬઎،‫׈‬ಹࢪӰફዷཛྷࠉ ืዔӰફ෫ǈവү‫ݡ‬،‫׈‬ಹࢪӰ ફ቗ᇀ‫ืࠉݡ‬ᆰၛ‫و‬۶ཙ௠ă !Tubdl!FSSPS Ǆ‫ڳ‬ᇿؓྥ!ǅ !•! ࣜ๻჻‫ـ‬ቤմ‫ื־‬ዖ‫ڳ‬ᇿࢪத૚ ‫ڳ‬ᇿ‫و‬൛ફă •!! ࣜ๻Ҫࠆ‫و‬পሷմ߹!21!‫ޔ‬ă! !•! ईࡧ‫ࣜݡ‬๻ӹؕ෷ǈჾӯԥմ‫־‬ ‫ڳ‬ᇿ‫و‬൛ફă !•! ժฎट‫ࣜݡ‬๻‫ܖ‬ཛྷ!3!‫ۂޚࢪޔ‬ ԩ‫ܖ‬ă! Tzouby!FSSPS Ǆশۨؓྥ! ! ǅ !•! ࣜ๻ӹؕ෷‫و‬শۨؓྥă! •!! ंՓশۨԌ६ှຑၖ‫ޚو‬ቁă! !Bshvnfou!FSSPS ǄዔӰફؓྥ!ǅ
PAGE 131
ؓྥဳྲ!! ᆓᄜ!! Ճዷ!! ! f!FSSPS O Ǆೖໍؓྥ!ǅ !•! ቖှ‫֔و‬ၠቲೖໍ‫!و‬JgǄٞ!223! !•! ट‫֔ݡ‬ၠӬࣃཛྷೖໍ‫و‬ᅷশࢪዓ ოǅĂGpsǄٞ!224!ოǅ ĂXijmfǄٞ! ֔ၠืٌᅢࢪඵᅢ!21!‫ޔ‬ă! 225!ოǅࢪ!Ep!ᅷশǄٞ!225!ოǅ !•! टࣜ๻ࡦ‫ܖ‬ཛྷ‫ޔۂ‬ԩ‫ܖ‬ഹࡍ‫ܖ‬Ӽ ࢪዓ֔ၠǄٞ!225!ოǅմ‫!־‬21!‫ޔ‬ă ࣜ๻୧‫ޔ‬ԩ‫ܖ‬ă! !•! ࣜ๻ቲᅘ߹‫ۂ‬ೖໍ‫ࢪืࠉو‬ਸ਼ ࠟă! ! sbotnju!FSSPS-! U Sfdfjwf!FSSPS Ǆ‫ב‬พؓྥ - ेฏ ؓྥ!ǅ !•! MJOL!ன෷‫ืو‬য໼ဳᇀۢ๥Ǆ‫ !!• ב‬വү࿯჻ቁവઘेă! พؓྥǅࢪेฏǄेฏؓྥǅಜ !•! വүेฏࣜ๻ಹ‫׌‬ᅢ‫أ‬ฏன෷ă! ࣺӇቲ‫ڱ‬ă!! Nfnpsz!Gvmm Ǆ،‫׈‬ಹୄ! ! ǅ !•! Ճዷࢪ،‫׈‬ಹ،‫׈‬Ճዷմ‫־‬ෝᅨ ‫و‬،‫׈‬ಹ൛ફă ! !•! टෳᅋ‫و‬،‫׈‬ಹื࿮ቨᇀ‫ص‬೐ቚ ‫وڊ‬،‫׈‬ಹืቐ௠ă !•! ईࡧժฎ،‫ื
PAGE 132
!4!ෳᅋ࿈ࣸኴྡ౹Ѣࣜ๻ಹҿஎ‫!و‬Q!Ѣఉჾֽ෶ࡧࣜ๻ಹă൥߷ቁവቖှ‫֔߹ױ‬ǈࣜ๻ಹट۵࢐ණ ‫ߔ״‬ӡ෫‫و‬ኴຢă P !Q!Ѣఉ !5!൥߷ٞ!!4!ԧԥ௢ࢎ‫ݒ‬ቁիՃዷǈᇘѢ!!Nc3)TZTUFN*!3)Sftfu!Bmm*!E)Zft*!ჾֽ෶ࡧຑᅘன ෷ࠧහብă ! •!ᅘߔ࿺࿈ဳྲǈഋԸऑĐटࣜ๻ಹ‫ݒ‬ᆓཛྷֽ෶യෛ቗හ‫ڊ‬đǄٞ!2!ოǅă !ቺე෼࿾ƽ! •!!टක‫ׅࣜ‬๻଎ઈืযĂ،‫׈‬ಹืযĂ༇ࣜࣜ๻ჅӊืযĂ֔ၠืযࠧఀพ൩‫و‬ຑᅘದຓืযă !k ٫֠൛ફّቚ෸ಹ !‫ص‬٫֠൛ફّ෫ǈ࢙࿤෸൥࿒ဳྲăۢූሦቸഉਦ෫ǈ໷ቛෳᅋԌߔӡࣜ๻ಹǈഹࡍ‫ࡳޚ‬٫֠ă! !ቺე෼࿾ƽ! •!! ‫ص‬࿤෸ಹණ࿤෸!Mpx!Cbuufsz!ဳྲ෫ǈࣜ๻ಹ‫ืو‬য‫ב‬พ‫ޢ‬௢Ӈ९ᅋă! !•! ໼իࡳࣜ๻ಹ٫֠෫ǈࣜ๻ಹ࢙टದ‫ص‬೐،‫׈‬ಹ௠൛،‫׈‬ᇀඝ،ቲǈԌᇀ‫ࡳޚ‬٫֠༾֑ቐ ࡍࢎ‫ݒ‬ດ୯ă൥߷ᇀ‫־‬࿦ණะဳྲࡍ࣢ၦෳᅋࣜ๻ಹۚԥ‫ࡳޚ‬٫֠ǈዮቷࣜ๻ಹटԥ௢ѿ ืয،‫ف׈‬ඝ،ቲă‫ූۢص‬ሦቸഉਦ෫ǈ‫ࡳޚ‬٫֠ࡍࣜ๻ಹटྐۨࢎ‫ݒ‬،
PAGE 133
!2/! Ѣ!!1o)PGG*!ߔӡࣜ๻ಹă •!!വүᇀ‫ࡳޚ‬٫֠ቐ೐ߔӡࣜ๻ಹăᇀࣜ๻ಹ‫ؘ‬৚‫و‬ഉਦ࿒‫ࡳޚ‬٫֠ट࢙ක‫ׅ‬،‫׈‬ ಹቲ‫ืو‬যă !•!‫ࡳޚ‬٫֠ࡍǈ‫ݥ‬ණࣜ๻ಹ‫ݥ‬ăሦटᅘኜᅢ‫܀‬ቛԥဏဲ‫ؘ‬৚ࣜ๻ಹ٫ᆚă !3/! ᇀࣜ๻ಹ‫ࡍو‬எǈఅ๡߈‫ڊ‬٫֠‫وݥ‬ଧ๗ă! !•!‫ݡ‬ଧ๗හࣜཛྷ৹ჾఅ๡ۚԥ࢙‫ݥ׹‬ණട࿒ăटଧ๗అ ๡‫ف‬ዮ‫ڪؙ֔‬ă! !4/! Ѣओ་ቚ෸‫۽و‬ဂࡤ‫ڑ‬٫֠‫ݥ‬ჾട࿒ă !5/! ട‫־‬ছ‫و‬٫֠ă !6/! ഋԸ৬٫֠Կቲ‫و‬༐෸ኰ൩ူ‫و‬٫֠ǈෳದቁࣁ!k!ࠧ ! ‫!!ࣁݘ‬l!‫۽‬ဂቁവă LR03 OR “AAA” SIZE(ALKALINE) !7/! ट٫֠‫࢐ࡤݥ‬ದᆓ෶཭ብǈԌෳᅋଧ๗߈‫ڊ‬ă !8/! ෳᅋ࿈ࣸኴྡ౹Ѣࣜ๻ಹҿஎ‫!و‬Q!Ѣఉჾֽ෶ࡧࣜ๻ಹă!ഋქ‫ڊ‬ეቖှ‫ױ‬ԧኊƽԥ ე໮߹ƽ! !A ዔ‫ߔڑ‬ӡ٫ᆚ !൥߷ԥቖှൌࠨՃዷ‫ؙ‬ᆢ!21!‫ܖ‬ትǈӊࣜ๻ಹ࢙ዔ‫ߔڑ‬ӡă൥߷ۢූሦቸഉਦǈѢ! !o!ऒ৹ቺူ‫ؘ‬৚ࣜ๻ಹă !ߢ‫ޏ‬ !٫ᆚეഓ
PAGE 134
MEMO Ck-133
PAGE 135
MEMO Ck-134
PAGE 136
MEMO Ck-135
PAGE 137
MEMO Ck-136
PAGE 138
CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany ‫ױ‬Ӷበቝคᅋᅢ FV ߶ࣨă
PAGE 139
CASIO COMPUTER CO., LTD.