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|00000000| 30 33 30 34 01 00 01 00 | 54 41 02 7b 7d 22 54 68 |0304....|TA.{}"Th|
|00000010| 65 20 6c 61 77 20 6f 66 | 20 65 72 72 6f 72 20 70 |e law of| error p|
|00000020| 72 6f 70 61 67 61 74 69 | 6f 6e 22 20 6e 65 77 6c |ropagati|on" newl|
|00000030| 69 6e 65 20 6e 65 77 6c | 69 6e 65 20 6e 65 77 6c |ine newl|ine newl|
|00000040| 69 6e 65 0d 0a 22 49 66 | 20 22 20 25 44 45 4c 54 |ine.."If| " %DELT|
|00000050| 41 20 78 20 3d 20 78 5f | 61 20 2d 20 78 5f 72 20 |A x = x_|a - x_r |
|00000060| 22 20 69 73 20 74 68 65 | 20 22 20 69 74 61 6c 20 |" is the| " ital |
|00000070| 22 61 62 73 6f 6c 75 74 | 65 20 65 72 72 6f 72 22 |"absolut|e error"|
|00000080| 20 22 20 62 65 74 77 65 | 65 6e 20 74 68 65 20 6d | " betwe|en the m|
|00000090| 65 61 73 75 72 65 64 20 | 76 61 6c 75 65 20 22 20 |easured |value " |
|000000a0| 78 5f 61 20 22 20 61 6e | 64 20 74 68 65 20 72 65 |x_a " an|d the re|
|000000b0| 61 6c 20 76 61 6c 75 65 | 20 22 20 78 5f 72 22 2e |al value| " x_r".|
|000000c0| 22 20 6e 65 77 6c 69 6e | 65 0d 0a 22 46 75 72 74 |" newlin|e.."Furt|
|000000d0| 68 65 72 6d 6f 72 65 2c | 20 69 66 20 22 20 79 20 |hermore,| if " y |
|000000e0| 3d 20 66 20 28 78 5f 31 | 22 2c 22 20 78 5f 32 22 |= f (x_1|"," x_2"|
|000000f0| 2c 22 20 64 6f 74 73 6c | 6f 77 20 22 2c 22 20 78 |," dotsl|ow "," x|
|00000100| 5f 6b 29 22 20 69 73 20 | 61 20 66 75 6e 63 74 69 |_k)" is |a functi|
|00000110| 6f 6e 20 6f 66 20 73 65 | 76 65 72 61 6c 20 22 20 |on of se|veral " |
|00000120| 78 5f 69 22 2c 20 76 61 | 72 69 61 62 6c 65 73 20 |x_i", va|riables |
|00000130| 61 6e 64 20 74 68 65 20 | 65 72 72 6f 72 20 22 20 |and the |error " |
|00000140| 25 44 45 4c 54 41 20 78 | 5f 69 20 22 69 73 20 6d |%DELTA x|_i "is m|
|00000150| 75 63 68 20 6c 65 73 73 | 20 74 68 61 6e 20 22 20 |uch less| than " |
|00000160| 78 5f 69 20 22 22 20 6e | 65 77 6c 69 6e 65 0d 0a |x_i "" n|ewline..|
|00000170| 22 74 68 65 72 65 66 6f | 72 65 20 22 20 25 44 45 |"therefo|re " %DE|
|00000180| 4c 54 41 20 78 5f 69 20 | 6c 6c 20 78 5f 69 22 2e |LTA x_i |ll x_i".|
|00000190| 20 54 68 65 6e 20 79 6f | 75 20 68 61 76 65 20 74 | Then yo|u have t|
|000001a0| 68 65 20 65 72 72 6f 72 | 20 22 20 25 44 45 4c 54 |he error| " %DELT|
|000001b0| 41 20 79 20 22 20 66 72 | 6f 6d 20 22 20 79 20 22 |A y " fr|om " y "|
|000001c0| 20 61 63 63 6f 72 64 69 | 6e 67 20 74 6f 20 74 68 | accordi|ng to th|
|000001d0| 65 20 22 20 69 74 61 6c | 20 22 6c 61 77 20 6f 66 |e " ital| "law of|
|000001e0| 20 65 72 72 6f 72 20 70 | 72 6f 70 61 67 61 74 69 | error p|ropagati|
|000001f0| 6f 6e 22 20 6e 65 77 6c | 69 6e 65 0d 0a 25 44 45 |on" newl|ine..%DE|
|00000200| 4c 54 41 20 79 20 3d 20 | 73 75 6d 20 66 72 6f 6d |LTA y = |sum from|
|00000210| 20 69 3d 31 20 74 6f 20 | 6b 20 61 62 73 20 7b 7b | i=1 to |k abs {{|
|00000220| 70 61 72 74 69 61 6c 20 | 66 7d 20 6f 76 65 72 20 |partial |f} over |
|00000230| 7b 70 61 72 74 69 61 6c | 20 78 5f 69 7d 7d 20 25 |{partial| x_i}} %|
|00000240| 44 45 4c 54 41 20 78 5f | 69 22 2e 22 46 0c 00 64 |DELTA x_|i"."F..d|
|00000250| 00 64 00 64 00 32 00 64 | 00 64 00 32 00 64 00 0f |.d.d.2.d|.d.2.d..|
|00000260| 00 54 69 6d 65 73 20 4e | 65 77 20 52 6f 6d 61 6e |.Times N|ew Roman|
|00000270| 00 00 00 00 00 00 00 00 | 00 00 00 00 02 00 00 00 |........|........|
|00000280| 09 00 48 65 6c 76 65 74 | 69 63 61 00 00 00 00 00 |..Helvet|ica.....|
|00000290| 00 00 00 00 00 00 00 00 | 00 00 00 0f 00 54 69 6d |........|.....Tim|
|000002a0| 65 73 20 4e 65 77 20 52 | 6f 6d 61 6e 00 00 00 00 |es New R|oman....|
|000002b0| 00 00 00 00 00 00 00 00 | 00 00 00 00 0f 00 54 69 |........|......Ti|
|000002c0| 6d 65 73 20 4e 65 77 20 | 52 6f 6d 61 6e 00 00 00 |mes New |Roman...|
|000002d0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 0f 00 54 |........|.......T|
|000002e0| 69 6d 65 73 20 4e 65 77 | 20 52 6f 6d 61 6e 00 00 |imes New| Roman..|
|000002f0| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 09 00 |........|........|
|00000300| 48 65 6c 76 65 74 69 63 | 61 00 00 00 00 00 00 00 |Helvetic|a.......|
|00000310| 00 00 00 00 00 00 00 00 | 00 07 00 43 6f 75 72 69 |........|...Couri|
|00000320| 65 72 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |er......|........|
|00000330| 00 00 0a 00 05 00 0a 00 | 1e 00 1e 00 00 00 00 00 |........|........|
|00000340| 00 00 05 00 0a 00 0a 00 | 00 00 05 00 03 00 1e 00 |........|........|
|00000350| 0a 00 0a 00 14 00 0a 00 | 01 01 64 00 53 07 00 75 |........|..d.S..u|
|00000360| 6e 6b 6e 6f 77 6e 00 00 | 00                      |nknown..|.       |
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