# axisymmetric in a sentence

1) The simplest

**axisymmetric**shape is the sphere or spherical section.

2) Solution Scheme In this study,

**axisymmetric**products are considered.

3) The superconductor forms an

**axisymmetric**magnetic field which contains the plasma.

4) Most have been applied mainly to stationary

**axisymmetric**space-times.

## axisymmetric example sentences

5) For stationary**axisymmetric**space-times many solution-generating techniques are known.

6) The system showed annular characteristics on May 11, showing an

**axisymmetric**shape.

7) The low-level jet focuses the stochastic energy a nearly

**axisymmetric**ring around the eye.

8) Axisymmetric: Nozzles with circular exits.

9) We therefore choose such a flow - an

**axisymmetric**jet - to illustrate the difference.

10) While these concepts were unusual, the inflated shape on reentry was in fact axisymmetric.

11) These solutions were originally obtained indirectly by first considering the Weyl solutions for stationary

**axisymmetric**space-times.

12) This result is true also of

**axisymmetric**jets, just the same derivation applying (although now ).

13) Such techniques are available in the

**axisymmetric**case, and may soon be extended to the colliding wave situation.

14) Thrust-vectoring was enabled through the use of the

**axisymmetric**Vectoring Exhaust Nozzle (AVEN).

### example sentences with axisymmetric

15) In this sense, the Kerr vacuums are the simplest stationary**axisymmetric**asymptotically flat vacuum solutions in general relativity.

16) An

**axisymmetric**system looks the same if we change our point of view by rotating our position about an axis.

17) Within these aircraft nozzles, the geometry itself may vary from two-dimensional (2-D) to

**axisymmetric**or elliptic.

18) Two years later, Ezra Newman found the

**axisymmetric**solution for a black hole that is both rotating and electrically charged.

19) The derivation also implicitly assumes that the gravitational potential of the Milky Way is

**axisymmetric**and always directed towards the center.

20) An

**axisymmetric**bulge, as would be found in a normal (non-barred) galaxy, would show no such effects.

21) Advanced computational techniques are needed to study distorted, spinning black holes, or the head-on collision of two

**axisymmetric**black holes.

22) Saturn's magnetic dipole is strictly aligned with its rotational axis, meaning that the field, uniquely, is highly axisymmetric.

23) Now, it is well known (see Chandrasekhar, 1983) that this is the Ernst potential that leads to the Kerr solution for stationary

**axisymmetric**space-times.

24) It may be observed that (13.3) is in fact the Ernst potential which leads to the Kerr solution for stationary

**axisymmetric**space-times.

25) It has been observed by Witten (1979) that Einstein's vacuum equations for stationary,

**axisymmetric**space-times are equivalent to a form of the self-dual Yang-Mills equations.

26) Within the context of stationary

**axisymmetric**space-times, many techniques have been developed in recent years by which new solutions may be obtained from initial vacuum solutions.

27) Kinnersley and Chitre, and also Hoenselaers, Kinnersley and Xanthopoulos (1979), exploited this approach to derive new stationary

**axisymmetric**solutions.

28) The main difference is that the solutions of the Ernst equation now contain the metric functions explicitly rather than the field potentials as in the stationary

**axisymmetric**case.

29) It may be observed that, for stationary

**axisymmetric**space-times, (11.28) is the Ernst potential which leads to the Schwarzschild solution.

30) When looking for solutions of the Ernst equation for stationary

**axisymmetric**space-times, it is appropriate to require that solutions be asymptotically flat.

31) This is in marked contrast to their application in stationary

**axisymmetric**space-times, where the Ernst equation only determines potentials for the fields.

32) In this chapter we will present an analysis of the colliding wave problem using a method that has become familiar in the study of stationary

**axisymmetric**space-times.

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