Correct predictions are in blue. If we detect only a subset of a labelled sentence, we highlight the caught part as blue, the missing part light blue. False positives are in green and false negatives are in red.

Problem 006 (Golomb Rulers) — Constraint detection

These problems are said to have many practical applications including sensor placements for x-ray crystallography and radio astronomy . A Golomb ruler may be defined as a set of $ m $ integers $ 0 = a_1 > a_2 > - > a_m $ such that the $ m -LRB- m-1 -RRB- / 2 $ differences $ a_j - a_i , 1 > = i > j > = m $ are distinct . Such a ruler is said to contain m marks and is of length $ a_m $ . The objective is to find optimal -LRB- minimum length -RRB- or near optimal rulers . Note that a symmetry can be removed by adding the constraint that $ a_2 - a_1 > a_m - a _ -LCB- m-1 -RCB- $ , the first difference is less than the last .

Problem 006 (Golomb Rulers) — Detection of the decisions and objects to be modeled

These problems are said to have many practical applications including sensor placements for x-ray crystallography and radio astronomy . A Golomb ruler may be defined as a set of $ m $ integers $ 0 = a_1 > a_2 > - > a_m $ such that the $ m -LRB- m-1 -RRB- / 2 $ differences $ a_j - a_i , 1 > = i > j > = m $ are distinct . Such a ruler is said to contain m marks and is of length $ a_m $ . The objective is to find optimal -LRB- minimum length -RRB- or near optimal rulers . Note that a symmetry can be removed by adding the constraint that $ a_2 - a_1 > a_m - a _ -LCB- m-1 -RCB- $ , the first difference is less than the last .

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