Sentence examples for exists a member from inspiring English sources

There exists a member of the family which is incomparable with and there exists a member of the family which is incomparable with.

On the other side, there exists a member of the family ((T_{lambda}^{mathrm{D}})_{lambdain 0, infty)}) which is incomparable with (T_{L}), and there exists a member of the family ((T_{lambda}^{{mathrm{AA}}})_{lambdain 0, infty)}) which is incomparable with (T_{L}).

Thus, there exists a member V of a uniform structure ({mathcal{V}}) defining an equivalent topology on X such that (s(V[x])subset W[s(x)]), (forall xin operatorname{cl}(Gamma(X))).

Given a morphism (phiin M X,X)) and (alphain operatorname{Cov} (X)), a point (xin X ) is said to be an α-fixed point of ϕ if there exists a member (Uinalpha ) such that (xin U ) and (phi(x) cap U neqemptyset).

Given a morphism (phiin M X,X)) (here (phi= { X stackrel{p}{Leftarrow} Gamma stackrel{q}{rightarrow} X})) and (alphain operatorname{Cov} (X)), a point (yinGamma) is said to be an α-coincidence point for ((p,q)) if there exists a member (Uinalpha ) with (p y) in U) and (q y) in U).

The function | · | : K → ℝ is called a non-Archimedean valuation or absolute value over the field K if it satisfies following conditions: for any a, b ∈ K, (1) |a| ≥ 0;   (2) |a| = 0 if and only if a = 0;   (3) |ab| = |a| |b|   (4) |a + b| ≤ max{|a|, |b|};   (5) there exists a member a 0 ∈ K such that |a 0| ≠ 0, 1.  . |a| ≥ 0; |a| = 0 if and only if a = 0; |ab| = |a| |b|.

They do not necessarily believe that the Rosicrucian order itself existed — a member of Societas Rosicruciana in Civitatibus Foederatis, a Masonic Christian organization, explained to me in an e-mail that many of his fellow-members are quick to accept "The Chemical Wedding" and other Rosicrucian texts as hoaxes.

Suppose that sup r, s ≥ 1 φ rs ∗ φ rs ∗ ∗ = ∞ Open image in new window, then there exists a sequence of members (rs jk ) such that lim j, k → ∞ φ jk ∗ φ jk ∗ ∗ = ∞ Open image in new window.

Hence, the fact that region R exists is a member of a grounding chain that doesn't terminate in facts that lack grounds.

According to Lembke and Wilson [37], identification exists when a member feels, thinks and behaves like a member of the group, which means that the member distinguishes a group identity from a self identity.

Hence, while the fact that R exists is a member of a grounding chain that doesn't terminate in facts that lack grounds, this fact nonetheless is grounded in facts that themselves lack grounds.