The

critical point in the above equation (20) is given by the value of [eta] where the coefficient at [[beta].sup.2] vanishes, i.e.

To start the physical discussion, we should firstly calculate the physical

critical points with real and positive pressure and temperature, which lead to the constraint

* making conclusions about types of the

critical points;

At the

critical points ([sup.150]Nd, [sup.152]Sm) the spherical and deformed minima must coexist and be degenerated in order to obtain a first order phase shape transition.

(b) There are equations (1) under condition (ii) having exactly one limit cycle surrounding either 1, 7 or 13

critical points, and equations (1) under condition (i) having exactly one hyperbolic limit cycle surrounding either 7

critical points if [p.sub.1] [not equal to] [[SIGMA].sup.[+ or -].sub.A], or the only

critical point if [p.sub.1] = [[SIGMA].sup.[+ or -].sub.A] .

Also many strategically and

critical points of the city were taken under heavy security umbrella by the Turkish security units.

The

critical point appears in the front part of the vehicle (41 s-44 s), where it is rather difficult to detect properly the vehicle's presence or absence in the parking space.

Section 3 is devoted to the analysis of the

critical points, which will be useful in Section 5 to obtain the parameter planes.

Some

critical points would be storage, treatment and water flows out of taps and jets.

"Inspection activities conducted off the evisceration line include pathogen sampling, and verifying that establishments are maintaining sanitary conditions and controlling food safety hazards at

critical points in the production process," says USDA.

"We found the first direct evidence that a magnetic quantum

critical point exists in these materials," Si said.