関数のグラフを描こう

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ひできこやぎ
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1 L05( ) 1 2 hig3.net ( ) L05( ) 1 / 16

2 #i n c l u d e <s t d i o. h> double f ( double x ) ; i n t main ( void ){ i n t n ; i n t nmax=10; double x ; double s =0.0; } x = 1.0; s=s+x ; / A / p r i n t f ( %f \n, s ) ; f o r ( n=0; n<nmax ; n++){ x= 2.0 x +3.0; s=s+x ; / B / } p r i n t f ( %f \n, s ) ; r e t u r n 0 ; ( ) L05( ) 2 / 16

3 ( ). n x s A B B 1. B n x n+1 S n+1. B 9 x 10 S 10 ( ) L05( ) 3 / 16

4 ? x n x n x n S N S N S n ( ) L05( ) 4 / 16

5 ( ) L05( ) 5 / 16

6 . #i n c l u d e <s t d i o. h> double f ( double x ) ; i n t main ( void ){ i n t n ; i n t nmax=10; double x ; double s =0.0; } x = 3.0; s=s+x ; / A / p r i n t f ( %f \n, s ) ; f o r ( n=0; n<nmax ; n++){ x=x +2.0; s=s+x ; / B / } p r i n t f ( %f \n, s ) ; r e t u r n 0 ; ( ) L05( ) 6 / 16

7 n x s A B 0 B 1 B 2 B 3 B 4 ( ) L05( ) 7 / 16

8 log(1 x) log(1 x) = x = 0.3, N = 4. n=1 1 n xn log(1 x) = x 1 2 x2 1 3 x3 1 4 x4. : = = N. ( ) L05( ) 8 / 16

9 #i n c l u d e <s t d i o. h> double ipow ( double x, i n t n ) ; / x n / i n t main ( void ){ i n t n ; i n t nmax=4; double s =0.0; double x =0.3; } p r i n t f ( %f \n, s ) ; f o r ( n=0; n<nmax ; n++){ s=s ipow ( x, n )/ n ; } p r i n t f ( %f \n, s ) ; r e t u r n 0 ; ( ) L05( ) 9 / 16

10 ? #i n c l u d e <s t d i o. h> i n t main ( void ){ i n t n ; i n t nmax=4; double s =0.0; double x =0.3; double xn =1.0; } f o r ( n=0; n<nmax ; n++){ xn=xn x ; s=s xn /( double ) n ; } p r i n t f ( %f \n, s ) ; r e t u r n 0 ; N ( ) L05( ) 10 / 16

11 0 + x ( x ( x ( x ( ())))) N 1 #i n c l u d e <s t d i o. h> 2 3 i n t main ( void ){ 4 i n t n ; 5 i n t nmax=4; 6 double s =0.0; 7 double x =0.3; 8 9 s = 1.0/nmax ; 10 f o r ( n=nmax 1; n>0; n ){ 11 s=s x 1.0/n ; 12 } 13 p r i n t f ( %f \n, s ) ; 14 r e t u r n 0 ; 15 } ( ) L05( ) 11 / 16

12 y = f(x). C. Excel gnuplot R. # x f(x) CSV(Comma Separated Values). ( ), x xmin x xmax=xmin+dx*nx x dx x nx ( ) L05( ) 12 / 16

13 1 #i n c l u d e <s t d i o. h> 2 3 i n t main ( void ){ 4 i n t nx =7; 5 double xmin = 1.0; 6 double dx =0.2; 7 double x ; 8 i n t i ; 9 0 i n t n ; 1 i n t nmax=10; 2 double s ; 3 double xn ; 4 5 f o r ( i =0; i <=nx ; i ++){ 6 x=xmin+i dx ; 7 8 / f(x) / 9 s =0; 0 xn =1.0; 1 f o r ( n=0; n<nmax ; n++){ 2 xn=xn x ; 3 s=s xn /( double ) n ; 4 } 5 / f(x) / 6 7 p r i n t f ( %f %f \n, x, s ) ; 8 } 9 r e t u r n 0 ; 0 } ( ) L05( ) 13 / 16

14 x? 1 #i n c l u d e <s t d i o. h> 2 #i n c l u d e <math. h> 3 4 int main ( void ){ 5 i n t nx =7; 6 double xmin = 1.0; 7 double dx =0.2; 8 double x ; 9 i n t i ; i n t n ; 12 / i n t nmax=10; / 13 double eps =1.0e 5; 14 double s ; 15 double xn ; f o r ( i =0; i <=nx ; i ++){ 18 x=xmin+i dx ; / f(x) / 21 s =0; 22 xn =1.0; 23 w h i l e ( 1 ) { 24 xn=xn x ; 25 s=s xn /n ; 26 i f ( f a b s ( xn /n ) < eps ){ 27 break ; 28 } 29 } 30 / f(x) / p r i n t f ( %f %f \n, x, s ) ; 33 } 34 r e t u r n 0 ; 35 } ( ) L05( ) 14 / 16

15 ! ( : ) quiz ,... 6, ( ),. ( ) L05( ) 15 / 16

16 PC Visual C Express Edition!! VS :00JST=AM2:00JST Visual Studio 2010, ,. Web.. ( ) L05( ) 16 / 16

1 1.1 Excel Excel Excel log 1, log 2, log 3,, log 10 e = ln 10 log cm 1mm 1 10 =0.1mm = f(x) f(x) = n

1 1.1 Excel Excel Excel log 1, log, log,, log e.7188188 ln log 1. 5cm 1mm 1 0.1mm 0.1 4 4 1 4.1 fx) fx) n0 f n) 0) x n n! n + 1 R n+1 x) fx) f0) + f 0) 1! x + f 0)! x + + f n) 0) x n + R n+1 x) n! 1 .