For instance that the reflexive, transitive closure \(E^* x,y)\) of the edge relation of a graph \(G = \langle V,E \rangle\) as the smallest relation satisfying the condition \(E^* x,y)\) is thus definable as \ \text{Fix}((x = y) \vee E x,y) \vee \exists z(R x,z) \wedge R z,y))\).
Yet it is glaringly obvious that the position of an artist wishing to celebrate love between males in a society that violently represses such behaviour bears no relation to the condition of an artist in the contemporary western world – at least in its most liberal parts.
The relation between the condition number with singular value is written as follows: {k}^{hbox=frac{mu_l}{mu_r} (14).
However, the relation between the condition specific measure and the preference-based measure may not be clear cut enough to identify more sub-groups.
Additionally, the high levels of emotional display reflect the difficulties experienced by this significant other group, and indicate that relatives of patients may also benefit from individual support or psycho-education in relation to the condition.
And with North Korea we should offer increasing investment and diplomatic relations on the condition that North Korea not only keep its own nuclear program halted, but desist in missile sales to others.
We give some relations between the condition (BP) and a completely continuous mapping as follows.
The propositional content of a judgment, in turn, can vary along at least three different dimensions: (1) its relation to sensory content, (2) its relation to the truth-conditions of propositions, and (3) its relation to the conditions for objective validity.
One of Quine's arguments is that synonymy is not a well-defined equivalence relation, the identity conditions for propositions are unclear and there is 'no entity without identity'.
The United Nations delegation visited Darfur and received a rosy briefing from the provincial governor, which delegation members said bore little relation to the conditions they witnessed.
