Measurable

They are closed under operations that one would expect for measurable sets, that is, the complement of a measurable set is a measurable set and the countable union of measurable sets is a measurable set.

A function between two measurable spaces is called a measurable function if the preimage of every measurable set is measurable.

A function is measurable if it pulls back measurable sets, i.e., for all measurable sets B in Y, is a measurable set in X. Theorem.

Measurable Data Token has a total market capitalization of $3.13 million and $6.87 million worth of Measurable Data Token was traded on exchanges in the last day.

A negligible set need not be measurable, but every measurable negligible set is automatically a null set.

As a result, the composition of Lebesgue-measurable functions need not be Lebesgue-measurable.

For instance, a real-valued measurable function is a function for which the preimage of each Borel set is measurable.

It is otherwise with emergents, when, instead of adding measurable motion to measurable motion, or things of one kind to other individuals of their kind, there is a co-operation of things of unlike kinds.

Sets that can be assigned a Lebesgue measure are called Lebesgue measurable; the measure of the Lebesgue measurable set A is denoted by λ(A).

Together, these facts show that the m-null sets of X form a sigma-ideal on X. Similarly, the measurable m-null sets form a sigma-ideal of the sigma-algebra of measurable sets.

As it has turned out to be, the newspaper press has not by any measurable yardstick been a mass medium, but rather, it has served for most of its history as an instrumentalized predominantly urban based, elite to-elite medium.

California’s Green DebacleThe Golden State’s energy policies impose ruinous costs on residents but make no measurable impact on global climate.

Central Park recorded the first measurable snowfall of the season this morning, with nearly half an inch as of 5:30 AM.

CHANGES to the types of vehicles allowed to use Dorset household recycling centres has met with complaints – but no measurable increase in fly tipping.

Courts may not license separating students on the basis of race without an exceedingly persuasive justification that is measurable and concrete enough to permit judicial review.

Decisions to fund emergency agricultural interventions at scale are having a measurable impact.

Earlier this month, state officials chastised a group of local groundwater control agencies for failing to set "minimum thresholds and measurable objectives" for countering subsidence as required by state law.

Financial markets had largely priced in expectations that the cash rate would be kept on hold, given a measurable reduction in inflation and weaker-than-expected wage growth.

If we implement the Wasatch Choice Vision, it will have a measurable impact on quality of life, now and for generations to come.

In addition, research has measurable impact, can be based on broad social consensus and is hardly constrained by the techniques and procedures to be used.