.
, , ( ). , , .
(xi, yi), i=0,1,,m, , 0<x1<...<xm-1<xm (. 3.48).
. 3.48
, , . , .
,
(xi, yi), i=0,1,...,m.
(, ; ) (, ).
.
1. . , , . , ( ) .
2. (, ) .
: , 3.49.
. 3.49
, -, 2m ( ), , , - : .
, , .
: ( ) , ( ). , , . , ( ).
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, , - .
, , - , , , , , (xi, yi), i=0,1,...,m, 0<x1<...<xm-1<xm ( 3.50).
. 3.50
, =S(), , :
, , ;
[ 0, m ] =S() .
S() . .
, , .
S(), :
1) , S(i)=yi, i=0,1,...,m;
2) [ i, i+1 ], i=0,1,...,m-1, ,
3) [ 0, m ] S(i) .
[ i, i+1 ] S() , 4 m .
, i , i=0,1,...,m-1 ( m-1 ), (m-1 ) ( m-1 ) .
m-1+m-1+m-1+m+1=4m-2
. , , , [ 0, m ] ( ):
S'(0)=10, S'(m)=1m.
.
.
, . , , .
(m+1)(n+1) ( 3.51)
(xi, yj), i=0,1,...,m; j=0,1,..,n, 0<x1<...<xm-1<xm, y0<y1<...<yn-1<yn.
. 3.51 (m+1)(n+1)
(xi, yj) zij (xi, yj, zij). (xi, yj, zij), i=0,1,...,m; j=0,1,..,n.
, , , .
S(x,y), :
, S(i,yi)=zi, i=0,1,...,m; j=0,1,..,n.
2) [xi, xj+1]´[yi, yj+1], i=0,1,...,m-1; j=0,1,..,n-1, ,
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3) [ x0, xm ] ´[ y0, yn ] S(, y) .
{(xi, yj, zij)} , 16mn . , - , aijlk.
[ x0, xm ]´[ y0, yn ] ( ).
: , -, , ; - , .
( ) , , .
, , .
, , - .