Sentence examples for usual partial from inspiring English sources

where ≤ stands for the usual partial order on (mathbb{R^).

Consider ([0,1]^{d}) with the usual partial order.

Let ⪯ be the usual partial order on ℝ.

where ≤ denotes the usual partial order on (mathbb{R}^).

Let with the usual partial order Define by (240).

Example 4 Consider X = [ 1, 7 ] with the usual metric and the usual partial order.

Notice that there is not a greatest or a least element in ({x_{tau} : tauin[0,1]}) with respect to the usual pointwise partial order.

This is in contrast with the usual elliptic partial differential equations, which are governed by local differential operators like the Laplace operator.

A wide spectrum of monopod geometries is designed for Australian North West Shelf (NWS) metocean conditions using API RP2A-LRFD with the usual environmental partial load factor γE = 1.35.

In the space C ( I ) we consider the usual pointwise partial ordering, i.e., for γ 1, γ 2 ∈ C ( I ) we define γ1 ≤ γ2 if and only if γ1 t) ≤ γ2 t) for all t ∈ I.

(Britain, as usual, is a partial exception to this view).So when Europeans search for a common foreign policy, they naturally apply the principles of multilateralism that have worked well at home.