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The authors choose this distance to be the sum of the squares of the differences between the proportions the 8 types of pottery found in the two levels . The main advantage of this procedure is that the average error rate is inversely proportional to the square of N. Thus , when the number of ancilla is large ( as it must be ) , the invention gives a much lower error rate than in previous methods thereby making it possible to achieve the low error threshold required for the operation of a quantum computer . If you take the Pythagorean Theorem , the sum of the squares of two sides equaling the square of the hypotenuse , that is remarkable in and of itself . If all else is kept the same as the engine is scaled down linearly , the airflow ( and thus the power ) decreases with the intake area ( the square of the linear size ) , so that the power-to-weight ratio increases linearly as the engine size is reduced . Moreover , no man of science is bound to solve every kind of difficulty that may be raised , but only as many as are drawn falsely from the principles of the science : it is not our business to refute those that do not arise in this way : just as it is the duty of the geometer to refute the squaring of the circle by means of segments , but it is not his duty to refute Antiphon 's proof . Now we look forward to the square of that benefit going forward with the rest of the world . " Each treasure is said to be surrounded by six regions or spaces , represented by the squares of the diagrams . Sheila Ginoza , a first-grade teacher at Waikele Elementary School in Waipahu , Hawaii , was delighted to discover the Square of Life project . We know that the attraction , otherwise called the weight , is in proportion to the densities of the bodies , and inversely as the squares of the distances . CI — A measure of the dispersion of a series of results around a target or specified value , expressed as the square root of the quantity obtained by summing the squares of the deviations from the target value and dividing by the number of observations .