Sentence examples for applying the operations from inspiring English sources

The sets that are obtained in a countable number of steps by starting from the basic open sets and applying the operations of taking the complement and forming a countable union of previously obtained sets are the Borel sets.

Starting from the analytic (or the co-analytic) sets and applying the operations of projection (from the product space $\mathbb{R}\times \mathcal{N}$ to $\mathbb{R}$) and complementation, one obtains the projective sets.

In the same vein, Cougar[29] acts as a database of sensors where the query plans are provided to proxies that take care of activating the relevant sensors and applying the operations on the collected data.

This turns out to be faster than running through a for loop and applying the operation once for each element in the vector.

This is done by applying the operation put id,command) on the Actuators bag of a Plugwise PUTUTU object.

However, applying the operation twice produces a copy f ∘ f ( s → ) of s → whenever s → is a subtle code.

The result of applying the operation of variation to a proposition depends essentially on our choice of ideas to be varied in the proposition in question.

The value of the switch (presence detected or not) is obtained by applying the operation rd id, value) on the Sensors bag of the EnOcean PUTUTU object.

It may or may not be commutative; this means that the result of applying the operation to a first and a second element is the same as to the second and first the order of the elements does not matter.

When there are arrays on either side of a binary operator, they must match in length, in which case J applies the operation on corresponding components of each array to produce the output array: "1 2 3 + 4 5 6" is "5 7 9" (vector addition).

But if this were actual cosmetic surgery, an old joke might apply: the operation was a success, but the patient died.