RANDOM  INTERPOLATION
Run Your Application (4-D only)

Note that in your application,

-10. < x1 < +10. and   -10. < x2 < +10.
-10. < x3 < +10. and   -10. < x4 < +10.

INPUT AREA

Input Location Number (M'):

Delta width for x1 (1) :

Delta width for x2 (2) :

Delta width for x3 (3) :

Delta width for x4 (4) :

Location NumberInput x1Input x2Input x3Input x4Input Function
f(x1, x2, x3, x4)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72

INTERPOLATION RESULT

Provide the desired location ( x1, x2, x3, x4) where the interpolated function value fINT( x1, x2, x3, x4) is calculated.

x1:     ( -10. < x1 < +10. )

x2:    ( -10. < x2 < +10. )

x3:     ( -10. < x3 < +10. )

x4:    ( -10. < x4 < +10. )

Click "COMPUTE" button to find fINT(x1, x2, x3, x4)

         fINT(x1, x2, x3, x4):      

Note that the more input locations are given, the better the interpolation results will become. The delta width essentially controls the weighting factor in the interpolation computation. A slightly larger delta value will give more smoothness of the interpolated function. In addition, for each dimension added, more input locations are needed. If the function is fairly smooth, then less number of input locations can be adequate. Conversely, if the function is not smooth, more input locations are definitely required.

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