complex measure


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complex measure

[¦käm‚pleks ′mezh·ər]
(mathematics)
A function whose domain is a sigma algebra of subsets of a particular set, whose range is in the complex numbers, whose value on the empty set is 0, and whose value on a countable union of pairwise disjoint sets is the sum of its values on each of these sets.
References in periodicals archive ?
It is a complex measure with the need to take account of infrastructure required for operations nodes and closely interconnected building volumes.
As a result, Inovalon clients will see dramatically reduced cycle times allowing for complex measure calculations at speeds not seen before by the industry.
In their zeal to make it easier for individual credit unions to understand how the proposed rule would affect them, NCUA has oversimplified a very complex measure.
It is a complex measure of an unprecedented nature and scale.
While the classification "Latino" is a broad and complex measure of race and ethnicity, the increase signals a significant demographic shift that will impact every aspect of American social, economic and political culture.
A trap in designing such a complex measure is that the index will reflect what the designer expects to see, and unfortunately Anielski falls into this trap.
n] is a countably additive, regular complex measure with compact support contained in K(see the proof of Singer's theorem in (2)).
It is, however, a complex measure that means very little to the average person.
This measure of poverty is a complex measure involving family size and size of geographic area of residence.
Table Four covers a complex measure as high levels of passengers per employee may result either from highly efficient operating practices or level passenger service levels, while low levels of passengers per employee may reflect either inefficiency or high service levels.
And one veteran staffer nearly single-handedly brokered a complex measure through the Legislature in the wee morning hours of April 17: It puts a small tax on businesses on public land as a way to avert a larger tax from being imposed by the courts.