Furthermore, the point x∗ where both expression domains abut each other in the stationary limit is determined by the initial conditions of Otx2, denoted by u01 x), and Gbx2, denoted by u02 x).
Figure 8 Condition of waterholes is denoted by colour of the balloons (as of 23 February 2012).
Proof of Theorem 2.1 First of all, according to the condition of Lemma 2.2, we denote Z n = 1 2 [ M ] n + 〈 M 〉 n. (11).
Liberty denotes the condition of the person who judges for himself, and whose actions are not constrained by an external power hidden from himself.
As a result of their fame, the term Siamese twin came to denote the condition of being one of a pair of conjoined twins (of any nationality).
This civilization of the Hellenistic Age has been defined as a civilization of paideia which eventually denoted the condition of a person achieving enlightened, mature self-fulfillment but which originally signified education per se.
In particular, for bounded set, the class of continuous functions which satisfy the Hölder condition of order in will be denoted by.
As in Figure 7B, red and blue denote the condition of the positive and negative stimulus respectively.
We then have the two models: (4) Denoting the data by, the Bayes factor can be approximated using point estimates: (5) The three terms in the numerator arise from the OR condition of M0, Equation (4), and denote the probability that the error rates in forward, the reverse or both orientations are identical.
Equation (4a) represents the mechanical equilibrium condition of each node, Eq. (4b) denotes the external forces acting on the catenary, and Eq. (4c) represents the geometrical relationship of each node.
