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In 10,000 ft, the maximum error of closure is 1/5000 * 10,000= 2 ft. On the basis of the law of compensation (Equation 2-2) and the fact that the number of measurements or observations is proportional to the length of a survey, we can write the following expression:
The error of closure is 0.015 ft. By substituting these values into the above formula, the correction is as follows: Since the observed elevation of the closing BM is greater than its known elevation, the adjustments are subtracted from the intermediate BMs.
Question: Allowable vertical error of closure is shown in Tables 3-1 and 3-2* . Note that the formulas for vertical control accuracy indicate maximum allowable error, not accuracy. The allowable error is equal to a constant multiplied by the square root of the distance between points.
14 cze 2015 · The basic idea is that your "allowable errors" are differentials which are similar to related rates (which you probably have already done). Your base formula is $$V=E^3$$
The maximum permissible error of closure is the product of 01 times the square root of 3, or about 1.73. The prescribed maximum angular error of closure has therefore been exceeded. Meeting Precision Specifications
You close or balance a traverse by distributing the linear error of closure (one within the allowable maximum, of course) over the traverse. There are several methods of doing this, but the one most generally applied is based on the so-called compass rule.
Closure operators Definition. Let S be a set. A closure operator on S is a function cl : P(S) !P(S) such that for all A,B S, A cl(A) (cl is extensive) A B =)cl(A) cl(B) (cl is increasing) cl(cl(A)) = cl(A) (cl is idempotent). We call cl(A) the closure of A; a set C S that is the closure of some subset of S is called a closed set of cl.
