Sentence examples for For any given element from inspiring English sources

Definition 2.2 An ordered vector space ( X, ≽ X ) is said to be generalized Archimedean if and only if for any given element x ≽ X 0 and any decreasing sequence of positive numbers { a n } with limit 0, we have a n x ↓ 0. Let X be a vector space and K a closed convex cone in X. Define a binary relation ≽ K on X as follows: x ≽ K y if and only if x − y ∈ K, for every  x, y  in  X.

It's hard to say for sure that any given element of the American psyche results from our Puritan founders.

A relatively pseudo-complemented lattice (or Brouwerian lattice) is a lattice L in which, for any given elements a, b ∈ L, the set of all x ∈ L such that a ∧ x ≤ b contains a greatest element b : a, the relative pseudo-complement of a in b.

In neurophysiological terms, the retinal elements are said to be connected to cortical cells, each being specific for a given element, so that when a given cortical cell is excited the awareness is of a specific local sign.

For a given element, energy was calibrated using a reference foil spectrum.

For a given element and, consider the following auxiliary problem for GMEP(1.2): find such that (2.8).

The so-called quasi-variational inclusion problem is to find a for a given element such that.

On the other hand, the access time of an array is O(1) for a given element.

Another option is to test fossil teeth for the ratio of stable isotopes present for a given element, such as the ratio of carbon C12 to C13.

Chomsky (1957) argued that distributional analyses cannot give rise to knowledge of grammar, as there are not enough 'minimally differing' sentences in the input to enable children to figure out what the allowable contexts for a given element are.

Assume that is a strictly contractive operator, that is, there exists a Lipschitz constant with such that for all Then for a given element one of the following assertions is true: for all ; there exists a nonnegative integer such that.