Compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock.

In the same way the hyperspherical space of 3D rotations can be parameterized by three angles ( Euler angles ), but any such parameterization is degenerate at some points on the hypersphere, leading to the problem of gimbal lock.

The so-called " flimbal " ( apparently for " FLoated Measurement BAL ") would offer unprecedented accuracy and would be free from " gimbal lock ", a problem that caused conventional platforms to " tumble " and lose their accuracy.

Adding a fourth rotational axis can solve the problem of gimbal lock, but it requires the outermost ring to be actively driven so that it stays 90 degrees out of alignment with the innermost axis ( the flywheel shaft ).

This problem may be overcome by use of a fourth gimbal, intelligently driven by a motor so as to maintain a large angle between roll and yaw gimbal axes.

The engineers were aware of the gimbal lock problem but had declined to use a fourth gimbal.

This similarity between linear coordinates and angular coordinates makes Euler angles very intuitive, but unfortunately they suffer from the gimbal lock problem.

Note that the gimbal lock problem does not make Euler angles " wrong " ( they always play at least their role of a well-defined coordinates system ), but it makes them unsuited for some practical applications.

There is no problem similar to the gimbal lock with quaternions.

For example if we use three angles ( Euler angles ), such parameterization is degenerate at some points on the hypersphere, leading to the problem of gimbal lock.

Therefore, vapor lock is almost never a problem in a vehicle with fuel injection.

Some ABS calibrations reduce this problem by slowing the cycling time, thus letting the wheels repeatedly briefly lock and unlock.

TVA spent two decades trying to fix a leakage problem that had plagued Hales Bar since its construction, but after continued leakage, and after it was determined that expanding the dam's navigation lock would be too expensive, TVA decided to replace the dam by building Nickajack Dam 6 miles ( 9. 7 km ) downstream in 1968, flooding the Nickajack Cave.

* To " lock the barn door after the horse has bolted " implies that one has solved a problem too late to prevent it.

Hitler refused to make such a public announcement, saying that it would strengthen the Gaullists against the Vichy France, but asked al-Husseini to ' to lock ... deep in his heart ' the following points, which Christopher Browning summarizes as follows, that ‘ Germany has resolved, step by step, to ask one European nation after the other to solve its Jewish problem, and at the proper time, direct a similar appeal to non-European nations as well '.

One such problem is " laser lock ", where the player reads the same two fields for a given frame over and over again, causing the picture to look frozen as if the movie were paused.

if philosopher B sees that A is not eating, then turns and looks at C, A could begin eating while B looks at C. This solution avoids this problem by using a single mutual exclusion lock.

Gimbal lock is a problem when the derivative of the map is not full rank, which occurs with Euler angles and Tait – Bryan angles, but not for the other choices.

To resolve a problem where the New River works had blocked the Manifold Ditch, and boats had been forced to use the mill stream to Ware Mill, the mill was bought by the New River Company, and the associated lock became an official right of way.

Also, because of the differing levels of severity from one person to another, some people's first experience of the problem is when, for the first time, they " lock up " attempting to produce a sample for a drug test.

The increasing prevalence of vessels of the maximum size is a problem for the canal as a Panamax ship is a tight fit that requires precise control of the vessel in the locks, possibly resulting in longer lock time, and requiring that these ships transit in daylight.

One problem with this system is once the spring or the top plate becomes worn, the driver of a car with this system may here a loud “ clonk ” like noise at full lock when the spring jumps back into place.

* The Simpsons – In the 9th season episode " Bart Star ," Joe Namath addresses the camera at the end of the show, in a manner parodying many Very Special Episodes, to " talk seriously about the problem of vapor lock ," which he says is the " third most common cause of engine stalling.

If the automatic jamming mechanism is accidentally triggered ( which happens when any one of the levers is lifted too high ) the lock-picker has the additional problem of resetting the detector mechanism before their next attempt to open the lock.

When Burke had a problem collecting money he was owed, and the unfortunate debtor had children, he would pick the child up in his huge arm, open the refrigerator with the other, and say, " If you don't do whatcha supposed to, I'm gonna lock your kid inside the fuckin ' refrigerator ".

As an illustration of this problem, when official data for all the world's countries are added up, exports exceed imports by almost 1 %; it appears the world is running a positive balance of trade with itself.

It appears that Plotinus attempted to clarify how the philosophers of the academy had not arrived at the same conclusions ( such as Dystheism or misotheism for the creator God as an answer to the problem of evil ) as the targets of his criticism.

The problem with this view is that there appears to be no such scope distinction in the case of proper names.

") appears to be much easier than the problem of actually finding the factors of N. Specifically, the former can be solved in polynomial time ( in the number n of digits of N ) with the AKS primality test.

However, this appears to be a problem addressable by ordinary nanoscale technology.

Although this appears a challenging problem given current resources, many tools will be available to help future researchers: Moore's Law predicts further increases in computer power, semiconductor fabrication techniques continue to approach the nanoscale, and researchers grow ever more skilled at using proteins, ribosomes and DNA to perform novel chemistry.

Many philosophers accept that Plantinga successfully solves the logical problem of evil, as he appears to have shown that God and evil are logically compatible, though others demur.

As it appears that the defenses and theodicies which might allow the theist to resist the problem of evil can be inverted and used to defend belief in the omnimalevolent being, this suggests that we should draw similar conclusions about the success of these defensive strategies.

In that case, the theist appears to face a dilemma: either to accept that both sets of responses are equally bad, and so that the theist does not have an adequate response to the problem of evil ; or to accept that both responses are equally good, and so to consider the existence of an omnipotent, omniscient, and omnimalevolent being as plausible.

" However, a version of Amy Pond from seconds in the future appears as soon as he says this allowing him to rectify the problem.

The general form of the TSP appears to have been first studied by mathematicians during the 1930s in Vienna and at Harvard, notably by Karl Menger, who defines the problem, considers the obvious brute-force algorithm, and observes the non-optimality of the nearest neighbour heuristic:

Since the Laplace operator appears in the heat equation, one physical interpretation of this problem is as follows: fix the temperature on the boundary of the domain according to the given specification of the boundary condition.

Thus it appears to be as secure as other encryption technologies tied to the factorization problem, such as RSA encryption.

It appears, then, that confronted with the problem of calculating the relative diameter of the atoms of which, he was convinced, all gases were made, he used the results of chemical analysis.

Therefore, preventing hydrate formation appears to be the key to the problem.

* Turtles all the way down, a jocular expression of the infinite regress problem in cosmology that appears in Hawking's book.

A similar problem appears for implementing non-lookahead rules such as

Made in the form of a ' fly on the wall ' documentary, Fassbinder himself appears making phone calls in the nude ; flushing cocaine in the toilet in a state of paranoia ; taking his frustration on his lover Armin Meier and angrily arguing with his mother, who longs for a benign dictator to solve the problem of terrorism.

Integer factorization for large integers appears to be a difficult problem.

According to several contemporary sources, Stephenson was the driving force behind the project ; " whenever there was a problem she appears to have ' moved heaven and earth ' to get it back on the tracks.

Three dimensional sculpture, in particular, raised " the problem of installing such a show in a museum bearing so close a resemblance to the circular geography of hell ", where any vertical object appears tilted in a " drunken lurch " because the slope of the floor and the curvature of the walls could combine to produce vexing optical illusions.

However, the assignment problem can be made rather more flexible than it first appears.

:( ii ) incubation ( where the problem is internalized into the unconscious mind and nothing appears externally to be happening ),

Another disadvantage of jetboats appears to be that they are more-sensitive to engine / jetunit mismatch, compared with the problem of engine / propeller mismatch in propeller-driven craft.

However, Weintraub claims in The Philosophical Quarterly that although Sextus ' approach to the problem appears different, Hume's approach was actually an application of another argument raised by Sextus: