Sentence examples for operation is defined on from inspiring English sources

If a binary operation is defined on such that for all, then we say that is derived from.

One difference between the two accounts of squaring is that the intensional one could be applied to a different domain (any domain on which the '×' operation is defined: on the rationals rather than the integers, for example, the extension of the identically defined function is a different and larger set containing infinitely many fractions).

This special data structure, said here as labeled partial orders (lpo), is a pair (P,ℓ) such that P= X,⊑) is a poset and ℓ:X↦L a strictly increasing bijection between X and a totally ordered set L. MOQA basic operations are defined on lpo's under some restrictions.

The restriction operation is defined such that the resulting system on the coarser grids is symmetric, thereby allowing for the use of efficient smoother algorithms.

This operation is defined by (7).

If a binary operation ∘ is defined on G such that ([x, y, z] = (xcirc y) circ z) for all (x, y, zin G), then we say that ([cdot, cdot, cdot]) is derived from ∘.

If a binary operation ∘ is defined on G such that [ x, y, z ] = ( x ∘ y ) ∘ z for all x, y, z ∈ G, then we say that is derived from ∘.

If no further operation was done 3 months after primary operation, the operation was defined as one operation (BCT operated once and MTX operated once).

That is, behavioral consciousness is defined on the basis of operations that infer other people's consciousness during objective studies.

Let and operation be defined by (2.8).

It follows that an optimum range of operation can be defined on the basis of the pull-off forces measured for a preload below, and above, the buckling preload Pb.