fx-991ES_J
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1 J fx-991es RCA V01
2 A 19(CLR)3(All)=(Yes)
3 ! A!2)+!3= 1 S sin 1 {D} s 1s(sin 1 )1= 1(Setup) fcde REPLAY 2
4 A a 16 z Z Deg Rad 16 3
5 4
6 u u 5
7 O fx-991es... 3 LR44 6
8 7
9 ' COMP Ans M A, B, C, D, X, Y
10 COMP π e Σ Eng Eng S-D CMPLX Conjg Abs, arg STAT n BASE-N n
11 EQN MATRIX TABLE x VECTOR
12 O 15 1A OFF N SETUP u 2. c 3. 6 ]CONT' u 4. d e 5. A N de 11
13 1 + A Y 1 1s(sin 1 ) 1Y(INS) S Sy(A) S5(e) { } CMPLX 75 { } BASE-N n A 3 { CMPLX 12
14 A 1 16 A CMPLX S 1 A S M STO RCL 45 1t(STO) 47 t 13
15 STAT STAT 80 CMPLX CMPLX 75 MAT MATRIX 119 VCT VECTOR FIX SCI Disp 16 Fix 17 Sci
16 1 8 COMP 19 33, 52 CMPLX 75 STAT 80 EQN BASE-N MATRIX n TABLE VECTOR
17 A 1. N u 2. u CMPLX 2 1N SETUP 2 c f c f ]CONT' 11 A 1N1(MthIO) 1N2(LineIO) A π
![f c f ]CONT' 11 A](/docs-images/45/20566917/images/page_17.jpg "1N1(MthIO) 1N2(LineIO)")
18 1N3(Deg) 1N4(Rad) 1N5(Gra) A N6(Fix) N7(Sci) N8(Norm) 1(Norm1) 2(Norm2) Fix Fix Fix2 Sci Sci Sci4 17
19 Norm1 Norm2 Norm x, x Norm x, x Norm Norm2 A 1Nc1(ab/c) 1Nc2(d/c) A CMPLX CMPLX 1Nc3(CMPLX)1(a+bi) 1Nc3(CMPLX)2(r θ) A STAT STAT FREQ STAT STAT FREQ FREQ 18
20 FREQ FREQ 1Nc4(STAT)1(ON) 1Nc4(STAT)2(OFF) A 1Nc5(Disp)1(Dot) 1Nc5(Disp)2(Comma).... COMP... MthIO... Deg... Norm1... d/c... a+bi... OFF FREQ... Dot 19(CLR)1(Setup)=(Yes) u = A Cancel 19
21 16 = - 2 (5 4) 2 ( 3) a 2(5+4)- 2*y3= A sin, cos, ' sin(, cos(, tan(, sin 1 (, cos 1 (, tan 1 (, sinh(, cosh(, tanh(, sinh 1 (, cosh 1 (, tanh 1 (, log(, ln(, e^(, 10^(, '(, 3 '(, Abs(, Pol(, Rec(, (, d/dx(, Σ(, P(, Q(, R(, arg(, Conjg(, Not(, Neg(, det(, Trn(, Rnd( - sin 30 a s30)= s sin( 25 20
22 A ( 2 (5+4) 2 sin(30) 2 '(3) 2 h A 2 π 2 i A = ) 34 A 14 ] ] d A s(sin 1 )
23 I 89 I G G Ans 43 A + I 1Y(INS) 1Y(INS) 28 22
24 A Y *13 Y 2 A d e Y Y **12 dd Y 1 369**12 ddd Y 23
25 A d e Y d e - sin 60 cos 60 c60) dddy s c60) dddd s A d e = ERROR Syntax ERROR d e 24
26 /0*2= e d d1 = e d A
27 A ' 9 1'(() 13 log(a,b) & 6 10^x 1l($) 4 e^x 1i(%) 4 '! 4 3 ' 1!(#) 9 2 w 4 3 1w(x 3 ) 4 1 E (") (F) 6 Σ 1&(8) 8 Abs 1w(Abs) 4 ( ) 1 A (1+' 26
28 2c 5 e )w = A e e '2 3 1+! 2 e 27
29 x 1dx S)(X)+1 e0 f1 e A ' 1Y(INS)! ' 28
30 log(a, b) e^x ' & 1i e^! 1l $ 6 1! # 16 " 1= Abs 1' ( 7 17 F Σ 1& 8 29
31 '2 π = 1= = 1= π π S-D S-D 72 1 '2 '8 3'2 A 1!2e+!8= 2!2e+!81= 2 sin (60) Az '3 2 s60= 1 3 sin 1 (0.5) π 6 AZ 1s(sin 1 )0.5= 30
32 ' ' a. ' x 2 x 3 x 1 b. c. Abs d. CMPLX (r θ) ' Deg 15 x Rad 1 π 12 x 20π Gra 50 3 x ' CMPLX ' 2 ' ± a'b, ± d ± a'b, ± a'b ± d'e c f a, b, c, d, e, f 1 a 100, 1 b 1000, 1 c d 100, 0 e 1000, 1 f 100 : 2'3 4 = 8'3 35'2 3 = (= 105'2) 150'2 = '
33 2 (3 2'5 ) = 6 4'5 23 (5 2'3 ) = (= '3 ) 10' '3 = 45'3 + 10'2 15 (10'2 + 3'3 ) = (= 45' '2 ) '2 + '3 + '8 = '3 + 3'2 '2 + '3 + '6 = ' ' ' u u 3 ' a'b + d'e a 'b + d 'e c f c c c f a, c, d a, c, d ' '3 '2 10'3 + 11'2 : + = : 1 '2 '3 1 '2 '3 4 2' ' : log3 '
34 (COMP) 15 COMP N1 + - * / a = a 7*8-4*5= 154 A a Norm1 3 Fix3 3 Sci
35 A = a (2+3)* (4-1= = 16 { ('7c3) (1'(()2e1c3) 7 { 3 2 { 1 { 3 (7'3) (2'1'3) 2 { 4 1 { 2 34
36 A A '2c3 e+ '1c2 = a 2'3+1'2 = ab/c A 1'(()3e1 c4e+ 1'(()1e2 c3= a 3'1'4+ 1'2'3= 35
37 ab/c 2 2 A 4-1'(() 3e1c2= a 4-3'1'2= 10 A b d 1f ( a c c ) A , a 1.5= f f 36
38 10 1( % 1/100 a% = a % ((%)= % *20 1((%)= /880 1((%)= *151((%)= 37
39 % *251((%)= % = -G*201((%)= 7 500g 300g % ( ) /5001((%)= % 48 (46-40)/ 401((%)= eeeey8= A 60 { } e { } e { } e 38
40 a 2e30e30e= 0 0e e0e30e A a 2e20e30e+ 0e39e30e= a 2e20e* 3.5= A e a 2.255= e e 39
41 1 1 : 2 2 : = a 3+3S7(:)3*3 = Disp = Disp Disp A f - a 1+1= 2+2= 3+3= 40
42 f f COMP,1 CMPLX,2 BASE-N,4 ` $ c O A A d e A d e = a 4*3+2.5= 41
43 A d YYYY -7.1= 42
44 M A, B, C, D, X, Y 6 15 COMP N1 Ans A Ans Ans = 1= m 1m M t 1t STO 15 Ans Ans Ans A 43
45 CMPLX Ans A Ans a 3*4= /30= / a 3w+4w=!= Ans 20 2 = Ans Ans A Ans G 44
46 A Ans G Ans a = 789-G= a 3w+4w=!G)+5= M A M M { } ( { }) m M { } ( { }) 1m(M ) M m 1m M = m 1m M = M M 45
47 m 1m M M M M tm(m) M Sm(M) M M 0 M A A M m m ) *21m(M ) /3m 22 tm(m) A 01t STO m M 0 M 46
48 A, B, C, D, X, Y 6 A, B, C, D, X, Y {A} y {B} e {C} w A {D} s A t(STO)y(A) A ty(a) A B Sy(A)*Se(B)= A A X ) Y f - B C a 9*6+3 1t(STO)e(B) 5*81t(STO)w(C) 47
49 Se(B)/Sw(C)= A 01t STO A 01t STO y A 19(CLR)2(Memory)=(Yes) = A Cancel 48
50 15 COMP N1 CMPLX N2 A s s - a 3*Sy(A) s 5= s = 49
51 A 10 10= A 1 1 A a 2X 3Y 5B 3i 2AX 3BY C b a X Y X X Y c 1 { } { } Ss = a Y 2X A X 2 X 3 an+1=an+2n (a1=1) a2 a5 a2=3, a3=7, a4=13, a5=21 a Sf(Y)Ss(=) S)(X)+2Sy(A) s 50
52 a1 = 1 1= n = 1 1= a2 s a2 G= n = 2 2= a3 sg=3= a4 sg=4= a5 51
53 (COMP) 15 COMP N1 X Y X 5 X sin(m) X 3 B C XY C XY C 0 { }, { } Y X 5, Y Y X sin(m), M M XB C D, B B log Y=X log(2,x Y=X log 10 2 X Y=X log(2,y,y Y=X log 10 2 Y Y=X log(2,y),x Y=X log 2 Y X Σ( Pol( Rec( Variable ERROR 52
54 1s SOLVE - y ax 2 b y 0, a 1, b 2 x A Sf(Y)Ss(=) Sy(A) S)(X)w+Se(B) 1)(,)S)(X) 1s(SOLVE) Y Y 0 0= A 1 1= B 2 y2= = A Can t Solve 53
55 A 1 y sin x y e x, y 1/x y 'x A 0 A Continue: [=] = A 54
56 y x 2 x 1 y 3, 7, 13, 21 x y 3, 7, 13, 21 x 2, 3, 4, 5 A Sf(Y)Ss(=) S)(X)w-S)(X) +1 1s(SOLVE) Y 3 3= X 1 1= =7== =13== =21== 55
57 15 COMP N1 COMP A A A { } { } { } { } { } {n} {m} { } ( ) ( ) π e π e π π e S5 e π e BASE-N 56
58 sin(, cos(, tan(, sin 1 (, cos 1 (, tan 1 ( A sin({n}) - sin sin az s30)= 1s(sin 1 )0.5)= A COMP, STAT, EQN, MATRIX, TABLE, VECTOR CMPLX i sin 30 sin 1 i Deg Rad Gra 16 1G DRG' 57
59 π (Deg) Deg az (15(π)/2) 1G(DRG')2(r)= 501G(DRG') 3( g )= sinh(, cosh(, tanh(, sinh 1 (, cosh 1 (, tanh 1 ( A sinh({n}) w - sinh a w1(sinh)1)= A COMP, STAT, EQN, MATRIX, TABLE, VECTOR CMPLX 58
60 10^, e^, log(, ln(, A 10^ {n}... e^ log({n})... log 10 {n} log({m},{n})... log{m}{n} {m} ln({n})... loge{n} 1 log log a l21)(,)16)= l16)= 10 logm n & & m A &2e16= 2 ln 90( loge 90) a i90)= 59
61 3 e a 1i(e^)10= A X 2, X 3, X 1, X^, '(, 3 '(, ^'( A {n} X 2... X 3, X 1 {m} X^{n}... {m} {n} '({n})... 3 '({n})... {m} ^'({n})... 1 (5 2 ) ('2 1) ('2 1) 1 (1 1) A (5w)1w(x 3 )= a (!2)+1) (!2)-1)= (1+1)62+2 )= 60
62 2 2 ( 2) a (y2)6 2'3)= A COMP, STAT, EQN, MATRIX, TABLE, VECTOR X 2, X 3, X 1 CMPLX CMPLX X^,'(, 3 '(, ^'( - Gauss-Kronrod ( A ( f(x), a, b, tol) f(x): X X X a: b: tol: (ln(x), 1, e) 1 tol A 7iS)(X)) c1fs5(e)= 61
63 a 7iS)(X))1)(,) 11)(,)S5(e))= 1 2 (, 1, 5, ) 0.8 x 2 a 71/S)(X)w 1)(,)11)(,)5 1)(,)15y7)= A ( COMP f(x), a, b, tol Pol(, Rec(, (, d/dx(, Σ( a x b f(x) 0 (0.5X 2 2, 2, 2) Time Out Rad tol tol tol A A f(x) 1 62
64 S S b c b f(x)dx = a f(x)dx + ( a f(x)dx) c S S b x 1 x 2 b f(x)dx = f(x)dx + f(x)dx f(x)dx a a x1 x4 A d/dx( f(x), a, tol) d ( dx f(x): X X X a: tol:
65 π 1 y sin(x) x 2 tol Z17(F)sS)(X))... A e'15(π)c2= a 1)(,)15(π) '2)= d 2 (3x 2 5x 2, 2, ) 7 dx a 17(F)3S)(X) w-5s)(x)+2 1)(,)21)(,) 15y12)= A d ( COMP dx f(x), a, tol Pol(, Rec(, (, d/dx(, Σ( Rad Time Out tol tol tol 0 A 64
66 Σ f(x) f(x) Σ Σ( Σ Σ( f(x), a, b) f(a) f(a 1)... f(b) A Σ( f(x), a, b) f(x): X X X a: b: a, b a b Σ(X 1, 1, 5) 20 A 1&(8)S)(X) +1c1f5= a A 1&(8)S)(X) +11)(,) 11)(,)5)= f(x), a, b Pol(, Rec(, (, d/dx(, Σ( Σ A Σ 65
67 Rec Pol Pol(, Rec( A Pol Pol( X, Y) X: X Y: Y Rec Rec( r, θ) r: r θ : θ 1 '2, '2 az 1+(Pol)!2) 1)(,)!2))= Az 1+(Pol)!2e 1)(,)!2e)= θ 180 θ 180 θ 16 Deg Rad Gra 66
68 r θ 47 X Y 2 2, 30 az 1-(Rec)21)(,) 30)= θ 16 X, Y 47 X, Y A COMP, STAT, MATRIX, VECTOR r X Pol ('2, '2) !, Abs(, Ran#, npr, ncr, Rnd( A COMP, STAT, EQN, MATRIX, TABLE, VECTOR Abs( Rnd( CMPLX Abs(, Rnd( CMPLX 67
69 A {n}! - (5 3)! a (5+3) 1E(x!)= { } { } 0 A Abs Abs({n}) - Abs (2 7) 5 A 1w(Abs)2-7= a 1w(Abs)2-7)= A Ran# Ran# Ran# 3 3 a (Ran#)= = 68
70 = A npr ncr {n} npr {m}, {n} ncr {m} n, r 0 r n a 101*(nPr)4= 101/(nCr)4= A Rnd Norm Fix Sci Rnd({n}) Norm1 Norm2 11 Fix Sci a 200/7*14= 69
71 3 1N6(Fix)3 FIX /7= FIX FIX *14= FIX 200/7= 10(Rnd)= FIX *14= FIX π 1 (sinx cosx) 2 0 dx π tol AZ 7(sS)(X)) +cs)(x)) )we0f15(π = 70
72 e Σ n! 1 2 n = 0 A 51t(STO)y(A) S5(e)-1&(8) '1cS)(X) 1E(x!)ee0 fsy(a)= 101t(STO)y(A) f= 151t(STO)y(A) f= 71
73 Eng Eng 3 A Eng 1 1,234 Eng a 1234= W W Eng a 123= 1W( ) S-D S-D π 72
74 A S-D π π nπ n d π c a b π c π ' f ' A S-D 1 A '5c6= f f f 73
75 2 π A 15(π)*'2c5= f 3 ' A!2e*!3= f 74
76 (CMPLX) 15 CMPLX N2 A u u 2 3 X 1, X 2, X 3 u u A i CMPLX W i i a bi i 2 3i 2+3i CMPLX A CMPLX (r θ) y( )30 CMPLX θ 16 75
77 A b a + bi r 18 (a bi ) 1 2 ('3 i) 2'3 2i i A a 2*(!3e +i)= CMPLX a 2*(!3) +i)= CMPLX 2 '2 45 = 1 i Az!2e1y( )45= CMPLX 76
78 r θ 1 2 ('3 i) = 2'3 2i = 4 30 Az 2*(!3e+i) = CMPLX 2 1 i = '2 45 Az 1+i= CMPLX θ 180 θ 180 A CMPLX 12(CMPLX) Conjg z a bi z a bi - 2 3i a CMPLX 12(CMPLX)2(Conjg) 2+3i)= 77
79 Abs, arg z a bi Z arg - 2 2i Az b = 2 a = 2 1w(Abs)2+2i= CMPLX 12(CMPLX)1(arg) 2+2i)= CMPLX A 12 CMPLX 4 'a bi - 2'2 45 = 2 2i Az 212e1y( )45 12(CMPLX)4('a bi) = CMPLX 78
80 A 12 CMPLX 3 'r θ - 2 2i = 2'2 45 Az CMPLX 2+2i12(CMPLX) 3('r θ)= (1 3i) (2i) i 2 2 a (1+3i)/ (2i)= CMPLX 79
81 (STAT) 15 STAT N3 A 1. N3 STAT u STAT 2. 1(1-VAR) u STAT STAT u STAT STAT 3. u 10, 11, 12 10= 11= 12= STAT 80
82 4. A u STAT STAT STAT COMP STAT u STAT 6. 5 Var u Var STAT 7. 2 o u STAT o STAT 81
83 8. = u STAT STAT STAT STAT A STAT STAT VAR X 2 A+BX 3 _+CX 2 4 ln X 5 e^x e X, Y 6 A B^X ab 7 A X^B 8 1/X STAT 11 STAT 1 Type STAT
84 STAT 1 8 STAT = Yes A Cancel A STAT STAT STAT STAT STAT 11 STAT 2 Data STAT STAT STAT STAT STAT FREQ 18 OFF ON STAT FREQ FREQ FREQ 83
85 FREQ STAT STAT FREQ X Y FREQ 1 STAT COMP STAT STAT A = 6 STAT 84
86 X Y 0 OFF FREQ STAT m, 1m M STO STAT STAT FREQ A STAT u u u u f c d e 85 ON FREQ 40 26
87 1. STAT 2. = u 1. STAT 2. Y u 1. STAT STAT STAT 3 Edit u Edit STAT 3. 1 Ins u STAT 86
88 STAT STAT STAT 3 Edit u Edit 2. 2 Del-A u STAT A STAT STAT STAT STAT A STAT STAT STAT 11 STAT STAT 82 STAT STAT COMP 87
89 u u u u u A STAT STAT STAT 11 STAT STAT STAT STAT 1Type 2Data 3Edit 4Sum 5Var 6MinMax STAT STAT STAT Edit Sum Var MinMax 88
90 4Sum, 5Var, 6MinMax 93 7Distr Distr 7Reg Reg e ab Reg 11(STAT)1(Type)1(1-VAR) A Sum 11(STAT)4(Sum) 1Σx 2 2 2Σx A Var 11(STAT)5(Var) 89
91 1n 2o 3xσn o = Σx n xσn = Σ (x o)2 n 4xσn 1 xσn 1= Σ (x o)2 n 1 A MinMax 11(STAT)6(MinMax) STAT 1minX 2maxX A Distr t STAT o xσn 11(STAT)7(Distr) 1P( 2Q( 3R( 4 't P(t), Q(t), R(t) 3 P (t) Q (t) R (t) 0 t 0 t 0 t 90
92 A 1 x 0 FREQ Nc4(STAT)1(ON)N3(STAT) 1(1-VAR) STAT 0=1=2= 3=4=5=6= 7=9=10= cec2=c2=2 =2=3=4=2= STAT A11(STAT)4(Sum) STAT 1(Σx 2 )= 11(STAT)4(Sum) 2(Σx)= STAT (STAT)5(Var) 1(n)= STAT 91
93 11(STAT)5(Var) 2(o)= STAT 11(STAT)5(Var) 3(xσn)= STAT (STAT)6(MinMax) 1(minX)= STAT 11(STAT)6(MinMax) 2(maxX)= STAT 4 1 x 3 x 7 11(STAT)7(Distr) 1(P( )311(STAT) 7(Distr)4('t))= STAT 11(STAT)7(Distr) 3(R( )711(STAT) 7(Distr)4('t))= STAT 92
94 A 11(STAT)1(Type)2(A+BX) y = A + BX Sum 11(STAT)4(Sum) 1Σx 2 2Σx 3Σy 2 4Σy X 2 X Y 2 Y 5Σxy X Y 6Σx 3 X 3 7Σx 2 y {X 2 Y } 8Σx 4 X 4 Var 11(STAT)5(Var) 1n 2o X o = Σx n 3xσn X xσn = Σ (x o)2 n 93
95 4xσn 1 X 5p 6yσn xσn 1= Σ (x o)2 n 1 Y Σy p = n Y yσn = Σ (y p)2 n 7yσn 1 Y yσn 1= Σ (y p)2 n 1 MinMax 11(STAT)6(MinMax) STAT 1minX 2maxX 3minY 4maxY X X Y Y Reg 11(STAT)7(Reg) 1A 2B A Σy B A =. Σx n B n B. Σxy Σx. Σy = n. Σx 2 (Σx) 2 94
96 3r 4m 5n - x r r = n. Σxy Σx. Σy {n. Σx 2 (Σx) 2 }{n. Σy 2 (Σy) 2 } x m = y A B y n = A + Bx y x 2 y 3 n y m x 1Nc4(STAT)2(OFF) N3(STAT) 2(A+BX)1= STAT 1.2=1.5= 1.6=1.9= 2.1=2.4= 2.5=2.7= 3= STAT STAT ce1= 95
97 1.1=1.2= 1.3=1.4= 1.5=1.6= 1.7=1.8= 2= STAT A11(STAT)7(Reg) STAT 1(A)= 11(STAT)7(Reg) 2(B)= STAT 11(STAT)7(Reg) 3(r)= STAT y 3 m y311(stat)7(reg) 4(m)= x 2 n 211(STAT)7(Reg) 5(n)= STAT STAT A 11(STAT)1(Type)3(_+CX 2 ) y = A + BX + CX 2 Sum Var MinMax 93 96
98 Reg 11(STAT)7(Reg) 1A 2B A Σy Σx Σx A = B( ) C( 2 ) n n B n Sxy. Sx2 x 2 Sx 2 y. Sxx 2 B = Sxx. Sx 2x 2 (Sxx 2 ) 2 3C C Sx 2 y. Sxx Sxy. Sxx 2 C = Sxx. Sx2 x 2 (Sxx 2 ) 2 (Σx) Sxx 2 = Σx 2 n Sxy = Σxy (Σx. Σy) n Sxx 2 = Σx (Σx 3. Σx 2 ) n Sx 2 x 2 = Σx 4 (Σx 2 ) 2 n Sx 2 y = Σx 2 y (Σx 2. Σy) n 4m1 5m2 6n x1 m1 = B + B 2 4C(A y) 2C x2 m2 = B B 2 4C(A y) 2C y n = A + Bx + Cx 2 97
99 - 95 x 2 y 3 n y m1 x1 m2 x2 A11(STAT)7(Reg) 1(A)= STAT 11(STAT)7(Reg) 2(B)= STAT 11(STAT)7(Reg) 3(C)= y 3 m1 311(STAT)7(Reg) 4(m1)= STAT STAT y 3 m2 311(STAT)7(Reg) 5(m2)= STAT x 2 n 211(STAT)7(Reg) 6(n)= STAT A 11(STAT)1(Type)4(ln X) y = A + BlnX 98
100 93 Σy B. Σlnx A = n n. Σ(lnx)y Σlnx. Σy B = n. Σ(lnx) 2 (Σlnx) 2 r = - {n. Σ(lnx) 2 (Σlnx) 2 }{n. Σy 2 (Σy) 2 } y A B m = e n = A + Blnx x y n. Σ(lnx)y Σlnx. Σy x 80 y 73 n y m x 1Nc4(STAT)2(OFF)N3(STAT)4(In X) 29=50=74= 103=118= ce1.6= 23.5= 38=46.4= 48.9= A11(STAT)7(Reg) 1(A)= STAT STAT STAT 11(STAT)7(Reg) 2(B)= STAT 99
101 11(STAT)7(Reg) 3(r)= x 80 n 8011(STAT)7(Reg) 5(n)= y 73 m 7311(STAT)7(Reg) 4(m)= STAT STAT STAT A e 11(STAT)1(Type)5(e^X) y = Ae BX 93 A = Σlny B exp(. Σx) n n. Σxlny B = n. Σx. Σlny Σx 2 (Σx) 2 n r. Σxlny Σx. Σlny = {n. Σx 2 (Σx) 2 }{n. Σ(lny) 2 (Σlny) 2 } lny lna m = B n = Ae Bx - x y e x 16 y 20 n y m x 100
102 1Nc4(STAT)2(OFF)N3(STAT)5(e^X) 6.9=12.9= 19.8= 26.7= 35.1= ce21.4= 15.7= 12.1=8.5= 5.2= A11(STAT)7(Reg) 1(A)= STAT STAT STAT 11(STAT)7(Reg) 2(B)= STAT 11(STAT)7(Reg) 3(r)= x 16 n 1611(STAT)7(Reg) 5(n)= STAT STAT y 20 m 2011(STAT)7(Reg) 4(m)= STAT A ab 11(STAT)1(Type)6(A B^X) y = AB X
103 A = Σlny B exp(. Σx n ) n B = exp(. Σxlny Σx. Σlny ) n. Σx 2 (Σx) 2 n r. Σxlny Σx. Σlny = {n. Σx 2 (Σx) 2 }{n. Σ(lny) 2 (Σlny) 2 } lny lna m = lnb n = AB x - x 1 3 y ab x 15 y n y m x Nc4(STAT)2(OFF)N3(STAT)6(A B^X) y1=3=5= 10= STAT ce0.24=4= 16.2=513= STAT A11(STAT)7(Reg) 1(A)= STAT 11(STAT)7(Reg) 2(B)= STAT 102
104 11(STAT)7(Reg) 3(r)= x 15 n 1511(STAT)7(Reg) 5(n)= y 1.02 m (STAT) 7(Reg)4(m)= STAT STAT STAT A 11(STAT)1(Type)7(A X^B) y = AX B 93 A = Σlny B exp(. Σlnx) n n. Σlnxlny B = n. Σlnx. Σlny Σ(lnx) 2 (Σlnx) 2 n r. Σlnxlny Σlnx. Σlny = {n. Σ(lnx) 2 (Σlnx) 2 }{n. Σ(lny) 2 (Σlny) 2 } m = e n = Ax B - x ln y ln A B y x 40 y 1000 n y m x 103
105 1Nc4(STAT)2(OFF)N3(STAT)7(A X^B) 28=30=33= 35=38= ce2410= 3033= 3895= 4491= 5717= A11(STAT)7(Reg) 1(A)= STAT STAT STAT 11(STAT)7(Reg) 2(B)= STAT 11(STAT)7(Reg) 3(r)= x 40 n 4011(STAT)7(Reg) 5(n)= y 1000 m (STAT) 7(Reg)4(m)= STAT STAT STAT A 11(STAT)1(Type)8(1/X) y = A + X B
106 Σy B. Σx 1 A = n Sxy B = Sxx Sxy r = Sxx. Syy Sxx = Σ(x 1 ) 2 Syy = Σy 2 Sxy = Σ(x 1 )y B m = y A B n = A + x (Σy) 2 n (Σx 1 ) 2 n Σx. 1 Σy n - x y x 3.5 y 15 n y m x 1Nc4(STAT)2(OFF)N3(STAT)8(1/X) 1.1=2.1= 2.9=4= 4.9= ce18.3= 9.7=6.8= 4.9=4.1= STAT STAT 105
107 A11(STAT)7(Reg) 1(A)= STAT 11(STAT)7(Reg) 2(B)= STAT 11(STAT)7(Reg) 3(r)= x 3.5 n 3.511(STAT) 7(Reg)5(n)= y 15 m 1511(STAT)7(Reg) 4(m)= STAT STAT STAT 106
108 n (BASE-N) BASE-N N4 n A DEC w HEX 6 BIN l OCT i U 10 Dec c 16 Hex b 2 Bin q 8 Oct STAT BASE-N 10 BASE-N Ab1+1= 107
109 Aq7+1= 2 2 Syntax ERROR BASE-N A, B, C, D, E, F {A} {B} y e {C} w {D} s E c F F t Ac1F+1= n AU30= b q 108
110 c A n BASE-N n n 13(BASE) 2 c f STAT c STAT 1 f A x x x x x x 7FFFFFFF x FFFFFFFF ERROR 109
111 BASE-N A n Ab13(BASE) c1(d)3 10 A Ab13(BASE) c1(d)5+ 13(BASE) c2(h)5= n 10 2 A and and (BASE) 1(and)1100= STAT 110
112 A or or (BASE) 2(or)11010= A xor xor (BASE) 3(xor)1100= A xnor xnor (BASE) 4(xnor)101= A Not - Not (BASE) 5(Not)1010)= A Neg 2 - Neg (BASE)6(Neg) )= 111
113 (EQN) 15 EQN N5 2 1 X 0.5Y 3 2X 3Y 4 1. N5 EQN u EQN 2. 1 a nx b ny c n 2 1 u 3. 1= 0.5= 3= 2= 3= 4= X 0.5Y 3 2X 3Y 4 112
114 4. = u X EQN uc f X Y A 4 = X = Y Y = 1 a nx + b ny = c n a nx + b ny + c nz = d n ax 2 + bx + c = ax 3 + bx 2 + cx + d = A EQN N5 EQN EQN EQN 113
115 A d COMP A = 6 A 0 A 0 114
116 A A STAT 85 = = = 1 c f X, Y Z 2 3 c f X1, X2, X3 A ENG 115
117 1 X 2Y 3 2X 3Y 4 A N5(EQN) 1(a nx+b ny=c n) 1=2=3= 2=3=4= = c 2 X 2 2X 3 0 A N5(EQN) 3(aX 2 +bx+c=0) 1=2=3= 116
118 = = X Y Z 2 3 X Y Z 0 X Y Z 4 A N5(EQN) 2(a nx+b ny+c nz=d n) 1=y1=1= 2=1=1= y1=0=y1= 1=1=4= = c c 117
119 4 X 3 2X 2 X 2 0 A N5(EQN) 4(aX 3 +bx 2 +cx+d=0) 1=y2= y1=2= = c c 5 X 2 4X 4 0 A N5(EQN)3(aX 2 +bx+c=0) 1=y4=4= = 118
120 (MATRIX) 15 MATRIX N6 A = MATRIX MatA, MatB, MatC 1 MatA 2 MatB MatA 2 + MatB MatAns 1. N6 MATRIX u 2. 1(MatA) u 119
121 (2 2) u MAT MATRIX u MAT A MatA u 2= 0= 0= 2= MAT 5. 14(MATRIX) u 6. 1(Dim) u 1 u 2(MatB) MatB A u MAT 120
122 8. MatA 2 + MatB u 14(MATRIX)3(MatA)w+ 14(MATRIX)4(MatB) MAT 9. = u MatAns MAT Ans MatAns u A A MATRIX MAT 14 MATRIX MatA, MatB, MatC MatAns MatAns 121
123 COMP u u u u u A MatAns MatAns MAT MatAns MatAns MatAns A MatAns + - MatAns + A 14 MATRIX 122
124 1Dim 2Data 3MatA 4MatB 5MatC 6MatAns 7det 8Trn MatA, MatB, MatC MatA, MatB, MatC MatA MatB MatC MatAns det( Trn( 14 MATRIX MatA, MatB, MatC 3 A MATRIX 1 Dim u MatA, MatB, MatC u u n c c f 123
125 u 4. u EQN 114 u 1 u A A MATRIX 2 Data u MatA, MatB, MatC u 3. u EQN 114 u A A MATRIX MatA, MatB, MatC MATRIX N6 MATRIX 124
126 MatA, MatB, MatC MATRIX A STAT 85 A MatA, MatB, MatC MatAns MatA, MatB, MatC 1. MatAns 2. 1t STO u STO STO MAT 3. u A, B, C y MatA, e MatB, w MatC u y MatA MatA MatA MAT 125
127 A - MatA MatB MatA 2 1, MatB A14(MATRIX)3(MatA) +14(MATRIX)4(MatB) MAT MAT = A MatAns MATRIX MatAns MatAns MatAns A A B A B - MatA MatB MatB MatA MatA MatB MatA, MatB A14(MATRIX)3(MatA) *14(MATRIX)4(MatB) MAT MAT = 126
128 14(MATRIX)4(MatB)* 14(MATRIX)3(MatA)- 14(MATRIX)6(MatAns) MAT MAT = A n MatA, MatA n, MatA n - 3 MatA MatA A3*14(MATRIX) 3(MatA) MAT MAT = A det a 11 = a 11 a 11 a 12 det = a 11 a 22 a 12 a a a 22 a 11 a 12 a 13 det a 21 a 22 a 23 a 31 a 32 a 33 = a 11 a 22 a 33 + a 12 a 23 a 31 + a 13 a 21 a 32 a 13 a 22 a 31 a 12 a 21 a 33 a 11 a 23 a
129 det( 14 MATRIX 7 det - MatA A14(MATRIX)7(det) 14(MATRIX)3(MatA) )= MAT A Trn( 14 MATRIX 8 Trn MatC A14(MATRIX)8(Trn) 14(MATRIX)5(MatC)) MAT MAT = 128
130 A a = a11 a 22 a 12 a 11 a 1 12 a 21 a 11 = a 21 a 22 a 11 a 22 a 12 a 21 a 11 a 12 a 1 13 a 21 a 22 a 23 a 31 a 32 a 33 a 22 a 33 a 23 a 32 a 12 a 33 + a 13 a 32 a 12 a 23 a 13 a 22 a 21 a 33 + a 23 a 31 a 11 a 33 a 13 a 31 a 11 a 23 + a 13 a 21 a 21 a 32 a 22 a 31 a 11 a 32 + a 12 a 31 a 11 a 22 a 12 a 21 = a 11 a 12 a 13 det a 21 a 22 a 23 a 31 a 32 a 33 1 E 6 - MatA A14(MATRIX)3(MatA) E MAT MAT = 129
131 A MatB 1 2 A1w(Abs) 14(MATRIX)4(MatB)) MAT MAT = A w 3 1w(x 3 ) 6 - MatA A14(MATRIX) 3(MatA)w 2 3 MAT = MAT 14(MATRIX)3(MatA) 1w(x 3 ) MAT MAT = 130
132 (TABLE) 15 TABLE N7 x 1 f(x) x N7 TABLE u 2. u S)(X)w+1'2 131
133 3. = u 1 u 1 4. = u 5 u 5. = u 1 u 6. = u u A 132
134 x A TABLE COMP X A, B, C, D, Y M X d/dx Pol, Rec Σ u u u u u m, 1m M u STO A x x Start End Step = x x 30 x
135 x X A x TABLE x TABLE x TABLE N7 TABLE TABLE TABLE x TABLE x x f x f x A 134
136 (VECTOR) 15 VECTOR N8 A (1,2) (3,4) (4,6) VECTOR VctA, VctB, VctC 1 VctA 2 VctB VctA VctB VctAns 1. N8 VECTOR u MAT 2. 1 VctA u MAT 135
137 u VCT VECTOR u VCT A VctA , 2 u 1= 2= VCT VECTOR u MAT 6. 1 Dim u 1 u 2 VctB VctB 2 3, A u VCT 136
138 8. VctA VctB u 15(VECTOR)3(VctA)+ 15(VECTOR)4(VctB) VCT 9. = u VctAns VCT Ans VctAns u A A VECTOR VCT 15(VECTOR) VctA, VctB, VctC VctAns VctAns MATRIX 122 A VctAns VctAns 137
139 VCT VctAns VctAns VctAns A MATRIX MatAns MatAns 122 A 1 5 VECTOR MAT 1Dim 2Data 3VctA 4VctB 5VctC 6VctAns 7Dot VctA, VctB, VctC VctA, VctB, VctC VctA VctB VctC VctAns 15 VECTOR 138
140 VctA, VctB, VctC 3 A VECTOR 1 Dim u VctA, VctB, VctC u u u 4. u EQN 114 u 1 u A A VECTOR 2 Data u VctA, VctB, VctC u 139
141 3. u EQN 114 u A A VECTOR VctA, VctB, VctC VECTOR N8 VECTOR VctA, VctB, VctC VECTOR A STAT 85 A VctA, VctB, VctC VctAns VctA, VctB, VctC 1. VctAns 2. 1t STO u STO 140
142 STO VCT 3. u A, B, C y VctA, e VctB, w VctC u e(vctb) VctB VctB VCT A - VctA VctB VctA 1, 2, VctB 3, 4 A15(VECTOR)3(VctA) +15(VECTOR)4(VctB) VCT VCT = A VctAns MATRIX MatAns MatAns
143 A n VctA, VctA n, VctA n n - 3 VctA VctA 1, 2 A3*15(VECTOR) 3(VctA) VCT = A (a 1, a 2 ). (b 1, b 2 ) = a 1 b 1 + a 2 b 2 (a 1, a 2, a 3 ). (b 1, b 2, b 3 ) = a 1 b 1 + a 2 b 2 + a 3 b 3 15 VECTOR 7 Dot - VctA VctB VctA = (1,2), VctB = (3,4) A15(VECTOR)3(VctA) VCT 15(VECTOR)7(Dot) 15(VECTOR) 4(VctB)= 142
144 A (a 1, a 2 ) (b 1, b 2 ) = (0, 0, a 1 b 2 a 2 b 1 ) (a 1, a 2, a 3 ) (b 1, b 2, b 3 ) = (a 2 b 3 a 3 b 2, a 3 b 1 a 1 b 3, a 1 b 2 a 2 b 1 ) - VctA VctB VctA 1, 2, VctB 3, 4 A15(VECTOR)3(VctA) *15(VECTOR)4(VctB) VCT VCT = 2 3 z 0 A Abs(a 1, a 2 ) = a 12 + a Abs(a 1, a 2, a 3 ) = a 1 + a 22 + a 3 1 VctC VctC 2, 1, 2 A1w(Abs) 15(VECTOR)5(VctC) )= VCT 143
145 2 VctA 1, 0, 1 VctB 1, 2, 0 Deg A,B 1 z VctA, VctB A15(VECTOR) 1(Dim)1(VctA)1(3) y1=0=1= VCT 15(VECTOR)1(Dim) 2(VctB)1(3) 1= 2= 0= VCT VctA VctB cos θ = (A B) θ = cos 1 (A B) A B A B (VctA VctB) VctA VctB A15(VECTOR)3(VctA) 15(VECTOR)7(Dot) 15(VECTOR)4(VctB)= /(1w(Abs) 15(VECTOR)3(VctA) )*1w(Abs) 15(VECTOR)4(VctB)) )= θ cos 1 (Ans) 1c(cos 1 )G)= VCT VCT VCT 144
146 A, B 1 A B A, B 1 A B VctA VctB VctA VctB 15(VECTOR)3(VctA)* 15(VECTOR)4(VctB)= VCT 1w(Abs)15(VECTOR) 6(VctAns))= VCT 15(VECTOR)6(VctAns) /G= VCT 145
147 40 BASE-N A CONST u 2 u = A COMP N1 1 A 17(CONST) 146
148 28(c0)= 2 c 0 = 1/ ε 0 µ 0 A 1/! 17(CONST)32(ε0) 17(CONST)33(µ0) = No 01 mp kg 02 mn kg 03 me kg 04 µ mµ kg 05 a m 06 h Js 07 µn JT 1 08 µb JT Js 10 α re m 147
149 No 12 λc m 13 γp s 1 T 1 14 λcp m 15 λcn m 16 R m 1 17 u kg 18 µp JT 1 19 µe JT 1 20 µn JT 1 21 µ µµ JT 1 22 F C mol 1 23 e C 24 NA mol 1 25 k JK 1 26 Vm m 3 mol 1 27 R J mol 1 K 1 28 C ms 1 29 C Wm 2 30 C mk 31 - σ Wm 2 K 4 32 ε Fm 1 33 µ NA 2 148
150 No 34 φ Wb 35 g ms 2 36 G S 37 Z Ω 38 t K 39 G m 3 kg 1 s 2 40 atm Pa ISO 1992 CODATA
151 in cm g oz BASE-N TABLE { } { } = A COMP N1 1 5 cm in a CONV (cm'in) u 2 150
152 4. = u g oz a (CONV) 22(g'oz) = 3 31 C F a y31 18(CONV) 38( C' F) 151
153 = No 01 in ' cm 1 [inch] = 2.54 [cm] 02 cm ' in 1 [cm] = (1/2.54) [inch] 03 ft ' m 1 [ft] = [m] 04 m ' ft 1 [m] = (1/0.3048) [ft] 05 yd ' m 1 [yd] = [m] 06 m ' yd 1 [m] = (1/0.9144) [yd] 07 mile ' km 1 [mile] = [km] 08 km ' mile 1 [km] = (1/ ) [mile] 09 n mile ' m 1 [n mile] = 1852 [m] 10 m ' n mile 1 [m] = (1/1852) [n mile] 11 acre ' m 2 1 [acre] = [m 2 ] 12 m 2 ' acre 1 [m 2 ] = (1/ ) [acre] 13 gal (US) 'R 1 [gal (US)] = [R] 14 R' gal (US) 1 [R] = (1/ ) [gal (US)] 15 gal (UK) 'R 1 [gal (UK)] = [R] 16 R' gal (UK) 1 [R] = (1/ ) [gal (UK)] 17 pc ' km 1 [pc] = [km] 18 km ' pc 1 [km] = (1/( )) [pc] 19 km/h ' m/s 1 [km/h] = (5/18) [m/s] 20 m/s ' km/h 1 [m/s] = (18/5) [km/h] 21 oz ' g 1 [oz] = [g] 22 g ' oz 1 [g] = (1/ ) [oz] 23 lb ' kg 1 [lb] = [kg] 24 kg ' lb 1 [kg] = (1/ ) [lb] 25 atm ' Pa 1 [atm] = [Pa] 152
154 No 26 Pa ' atm 1 [Pa] = (1/101325) [atm] 27 mmhg ' Pa 1 [mmhg] = [Pa] 28 Pa ' mmhg 1 [Pa] = (1/ ) [mmhg] 29 hp ' kw 1 [hp] = [kw] 30 kw ' hp 1 [kw] = (1/0.7457) [hp] 31 kgf/cm 2 ' Pa 1 [kgf/cm 2 ] = [Pa] 32 Pa ' kgf/cm 2 1 [Pa] = (1/ ) [kgf/cm 2 ] 33 kgf m ' J 1 [kgf m] = [J] 34 J ' kgf m 1 [J] = (1/ ) [kgf m] 35 lbf/in 2 ' kpa 1 [lbf/in 2 ] = [kpa] 36 kpa ' lbf/in 2 1 [kpa] = (1/ ) [lbf/in 2 ] 37 F ' C t [ F] = (t 32)/1.8 [ C] 38 C ' F t [ C] = (1.8 t + 32) [ F] 39 J ' cal 1 [J] = (1/4.1858) [cal] ` 40 cal ' J 1 [cal] = [J] ` cal 15 C NIST Special Publication 811 (1995) 153
155 Pol(, Rec( (, d/dx(, Σ( P(, Q(, R( sin(, cos(, tan(, sin 1 (, cos 1 (, tan 1 (, sinh(, cosh(, tanh(, sinh 1 (, cosh 1 (, tanh 1 ( log(, ln(, e^(, 10^(, '(, 3 '( arg(, Abs(, Conjg( Not(, Neg( det(, Trn( Rnd( x 2, x 3, x 1, x!,,, r, g, ^(, x '( 't % ab /c ( ) d, h, b, o n 154
156 cm'in 150 m, n, m1, m2 npr, ncr (Dot), π, e, 2π, 5A, πa, 3mp, 2i :2' 3,, Asin 30 and or, xor, xnor 2 2 x y2w= (y2)w= ( 2) /2i= 1 2i i 2 1 1/(2i)= 1 (2i) i 2 155
157 Stack ERROR A CMPLX 1 2 CMPLX 5 MATRIX VECTOR 5 MATRIX 156
158 DEG 0 x sin x RAD 0 x GRA 0 x DEG 0 x cos x RAD 0 x tan x sin 1 x cos 1 x GRA 0 x DEG RAD GRA sin x x = (2n 1) 90 sin x x = (2n 1) π / 2 sin x x = (2n 1) x 1 tan 1 x 0 x sinh x cosh x 0 x
159 sinh 1 x 0 x cosh 1 x 1 x tanh x 0 x tanh 1 x 0 x log x / ln x 0 x x x e x x 'x 0 x x 2 x /x x ; x G 0 3 'x x x! 0 x 69 x npr 0 n , 0 r n n, r : 1 {n!/(n r)!} ncr 0 n , 0 r n n, r : 1 n!/r! n!/(n r)! Pol(x,y) Rec(r,θ ) ^(x y ) x, y x 2 +y r θ: sinx a, b, c b, c x x x 0: ylogx 100 x 0: y 0 x m 0: y n, m, n : 2n y log x
160 x 'y a b /c y 0: x G 0, /x logy 100 y 0: x 0 2n 1 y 0: x 2n 1, m G 0; m, n : m /x log y ^(x y ), x 'y, 3 ', x!, npr, ncr 1 ERROR Stack ERROR A d e
161 A A d e ERROR u u u u u Stack ERROR u u u MATRIX u 2 u VECTOR
162 Syntax ERROR u u Argument ERROR u u Dimension ERROR MATRIX VECTOR u u u u Variable ERROR 52 u X u u X u 161
163 Can t Solve 52 u u u Insufficient MEM u TABLE u Time Out u u tol 162
164 O O 19 CLR 1 Setup = Yes 163
165 LR44 2 TWO WAY POWER 164
166 u k l u A O A(OFF) O k O19 CLR 3 All = Yes A 6 O 165
167 G13 LR C 40 C mm 105g 166
168 ? I A B c B θ A C b B C a A < b sin θ = c a cos θ = 10m c (c) b b tan θ = a A c 60 ( θ ) B a C θ B a b > sin θ = b = c sin θ c a cos θ = a = c cos θ c az b = 10 sin 60 10s60)= C b a = 10 cos 60 10c60)= b B θ a c b tanθ b sinθ a B θ b c a tanθ a cosθ 167
169 P(x,y) y 10m az 10, 60 1-(Rec)10 1)(,)60)= 0 60 x? II 2 a b B θ A B θ c 8m (a) < B θ c a A b C 5m (b) C sin θ = cos θ = tan θ = b c a c b a b b > tan θ = θ = tan a 1 a 168
170 az θ = tan t(tan 1 ) 5/8)= 60 e a a c cos 1 c b b c sin 1 c az 5m 0 θ r 8m P(8,5) 8, 5 r, θ 1+(Pol)81)(,) 5)= Y θ 60 tf(y)e 169
171 ? C D A X < X A sin C X = C (61 32 ) (49 25 )D sin (180 C D) > az A (50m) C, D C, D 61e32e1t(STO)w(C) 49e25e1t(STO)s(D) 50sSw(C))/s180- Sw(C)-Ss(D))=? a b c S < c (30m) b (40m) S S = s (s a)(s b)(s c) 1 a s = (a + b + c) (50m) 2 170
172 > az s A ( )/2 1t(STO)y(A) S!Sy(A)(Sy(A) -50)(Sy(A) -40)(Sy(A) -30))=? θ 20 W 60kg µ 0.3 P θ (20 ) P W (60kg) < P = W (sin θ + µ cos θ ) > az 60(s20)+ 0.3*c20)) = 171
173 ? V0 30m/s 50 θ 3 h V0(30m/s) < h = V0t sin 1 θ gt 2 h 2 θ (50 ) (g: 9.8m/s 2 ) > az 30*3* s50)- 2E*9.8* 3w= 172
174 Phone SA0411-B Printed in China
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S I.. http://ayapin.film.s.dendai.ac.jp/~matuda /TeX/lecture.html PDF PS.................................... 3.3.................... 9.4................5.............. 3 5. Laplace................. 5....
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IA hara@math.kyushu-u.ac.jp Last updated: January,......................................................................................................................................................................................
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