 Therefore., tliat will be the most probable system of values of the unknown quantities p, q, r, s, etc., in which the sum of the squares of the differences between the observed and computed values of the functions V, V, V", etc. is a minimum, if the same...  Theory of the Motion of the Heavenly Bodies Moving about the Sun in Conic ... - Pàgina 260per Carl Friedrich Gauss - 1857 - 326 pàginesVisualització completa - Sobre aquest llibre
 | John Michels (Journalist) - 1892 - 436 pàgines
...gives the most satisfactory agreement between the theoretical curve and the actual curve, ie, the one in which the sum of the squares of the differences between the two curves are a minimum. The actual computation becomes a little simpler by substituting F = С +... | |
 | John Michels (Journalist) - 1892 - 434 pàgines
...the most satisfactory agreement between the theoretical сигте and the actual curve, ie, the one in which the sum of the squares of the differences between the two curves are a minimum. The actual computation becomes a little simpler by substituting F = С +... | |
 | John Michels (Journalist) - 1892 - 436 pàgines
...gives the most satisfactory agreement between the theoretical curve and the actual curve, ie, the one in which the sum of the squares of the differences between the two curves are a minimum. The actual computation becomes a little simpler by substituting Y = C + y... | |
 | Joseph William Mellor - 1902 - 620 pàgines
...This rule proceeds from the assumption that the most probable values of the constants are those for which the sum of the squares of the differences between the observed and the calculated results are the smallest possible (see page 433). To take the general case first, let... | |
 | F. L. Ransome - 1918 - 760 pàgines
...hours, p=rock pressure in pounds, p<.=14.6 pounds. The numbers in parentheses at the riptht are the sums of the squares of the differences between the observed and computed values of v. On applying the usual least-square criterion that this sum must be a minimum, it appears that there... | |
 | United States. National Bureau of Standards - 1968 - 460 pàgines
...that the principle that "the most probable system of values of the unknown quantities [is that for which] the sum of the squares of the differences between...the observed and computed values of the functions [observed] is a minimum, . . . must, everywhere be considered an axiom with the same propriety as the... | |
 | 1969 - 488 pàgines
...that the principle that “the most probable system of values of the unknown quantities [is that for which] the sum of the squares of the differences between...the observed and computed values of the functions [observed] is a minimum . . . must, everywhere be considered an axiom with the same propriety as the... | |
 | Stephen A. Kuby - 1990 - 496 pàgines
...formula and proceeds from the assumption that the most probable values of the constants are those for which the sum of the squares of the differences between the observed and the calculated results are minimized, provided the errors are random. y = a -I- bx (61) and which would... | |
 | S.G. Tzafestas, Anastasios N. Venetsanopoulos - 2007 - 548 pàgines
...des Gametes" . In Gauss' own words : "The most probable value of the uknown quantities will be that in which the sum of the squares of the differences between the actually observed and the computed values multiplied by numbers that measure the deegre of precision... | |
 | D.A. Vallado - 2001 - 1002 pàgines
...from Theoria Motus ([1809] 1963, 260): "the most probable value of the unknown quantities will be that in which the sum of the squares of the differences between the actually observed and computed values multiplied by numbers that measure the degree of precision is... | |
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