Лекции по основам кинематики элементарных процессов. Строковский Е.А. - 174 стр.

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[A, B]
f(x) f(x)
[A, B] N
i x
i
x
0
= A ; x
N
= B x
i W
i
f(x
i
) · (x
i
x
i1
W
i
=
x
i
!
x
i1
f(x)dx ;
N
i=1
W
i
=1.
W
i
[0, 1]
w
j W
j1
<w W
j
x x
j
(x
j
+x
j1
)/2
x
w(x)
y x
y =
x
!
A
f(x
)dx
;
B
!
A
f(x
)dx
=1.
(0, 1)
[A, B] 1   F1 0 71                G 
 f (x) F  f (x) N 1      G
   8  0      2    2   0   
  C     6  2 0 2 1    
      7       9  1  
          7         
 56 
   H     [A, B]  N 1     O   
1     i  xi O x0 = A ; xN = B      20   x
1 C 1     i   ∆Wi  f (xi ) · (xi − xi−1 G0  ?
                       !xi                  
                                            N
              ∆Wi =          f (x)dx    ;         ∆Wi = 1 .        F" "G
                      xi−1                  i=1


   :  6 )  * +   ∆Wi  0
  [0, 1] F1            0 
1 / 6 " 1 1         5G 8  0      
1           w0 2      56 
    12 F     W[)yG 11  
    jF             5 ∆Wj−1 < w ≤ ∆Wj G0   
 56      x   xj F  (xj +xj−1 )/20
  C   2/ 1 1   G >        0
 5 2 12  
   20    1   10   0   1
1   5  1     x0 2   2 12
W[)y 0  w(x)0  7  N  1   N   0   0  
    92      2  5   
  F G 1          $ 20 
 2/    0   1 5      
  1     1   /      / 
  1 /   
   ; 0     N 2        1     
    y  1 56 /C     2   x
1 1  
                    !x            !B
                           
                y = f (x )dx ;       f (x )dx = 1 .    F"  G
                  A                     A
  !       $  "(     
 (    (0, 1)    

                                  "+B