and yet they cannot ignore this problem because it concerns the implementation of nearly all the planning programs they have devised.

These issues have raised concerns among economists and unfunded liabilities were mentioned as a serious problem facing the United States in the President's 2006 State of the Union address.

The problem concerns the explanation of how we are able to make inductive inferences.

The disruption of the river's natural flow, run-off from agriculture, and the introduction of pest species like the European Carp has led to serious environmental damage along the river's length and to concerns that the river will be unusably salty in the medium to long term — a serious problem given that the Murray supplies 40 % of Adelaide's domestic water.

Another problem concerns the hydrogenate attack on the lubricating film in reciprocating engines.

The mind-body problem concerns the explanation of the relationship that exists between minds, or mental processes, and bodily states or processes.

The philosophical problem of actual infinity concerns whether the notion is coherent and epistemically sound.

Enterprise JavaBeans are intended to handle such common concerns as persistence, transactional integrity, and security in a standard way, leaving programmers free to concentrate on the particular problem at hand.

Pillai's conjecture concerns a general difference of perfect powers: it is an open problem initially proposed by S. S. Pillai, who conjectured that the gaps in the sequence of perfect powers tend to infinity.

" Another basic problem — famously spoofed in the 1952 film Singin ' in the Rain — was that some silent-era actors simply did not have attractive voices ; though this issue was frequently overstated, there were related concerns about general vocal quality and the casting of performers for their dramatic skills in roles also requiring singing talent beyond their own.

In probability theory, the birthday problem or birthday paradox concerns the probability that, in a set of n randomly chosen people, some pair of them will have the same birthday.

The Annandale Police Department serves the City of Annandale and surrounding communities by providing police services in addition to promoting meaningful police / citizen interaction and community partnerships, with emphasis on public education, problem solving and responding to community concerns.

Political concerns unrelated to the dating problem, such as the decline of Oswiu's preeminence among the other English kingdoms and the challenge to that position by Mercia, were also factors.

Hilbert's fifth problem is the fifth mathematical problem from the problem list publicized in 1900 by mathematician David Hilbert, and concerns the characterization of Lie groups.

The 6th problem concerns the axiomatization of physics, a goal that twentieth century developments of physics ( including its recognition as a discipline independent from mathematics ) seem to render both more remote and less important than in Hilbert's time.

Also, the 4th problem concerns the foundations of geometry, in a manner which is now generally judged to be too vague to enable a definitive answer.

Radical or extreme political opinions that do not achieve expression to a satisfactory degree within a formal electoral system or legal system present a special problem: while all of the above concerns remain, they must be balanced against the concern that the system itself will be directly and violently opposed by those of such views, relatively disadvantaging those who work within the system for change.

" Maistre's analysis of the problem of authority and its legitimacy foreshadows some of the concerns of early sociologists such as Comte and Saint-Simon.

# It was the source of an important " social problem ", one of the first " public health " concerns, known as " baby-doping " ( giving a child opium to keep them quiet ).

There are concerns that the " classic " type of MRAM cell will have difficulty at high densities due to the amount of current needed during writes, a problem STT avoids.

Although Convair had informed McDonnell Douglas of the potential problem, rectifying what the aircraft manufacturer considered a small problem with a low probability of occurrence would have seriously disrupted delivery of the aircraft and cost sales so Convair's concerns were ignored.

Low crop yields are just one of the problem facing farmers in the low latitudes and tropical regions.

This is not generally a problem at middle or equatorial latitudes, or for large parts of the year anywhere, but it does occasionally limit local wintertime traffic on the band in areas such as Northern Europe, the northern tier of the United States and Canada.

) This is a rare but serious problem, mostly for far northern locations like Canada and Scandinavia, where a strong aurora borealis will cover much lower latitudes than normal during such a situation.

The detail analysis of CMBR data to produce maps, an angular power spectrum, and ultimately cosmological parameters is a complicated, computationally difficult problem.

Ultimately, due to the foregrounds and the cosmic variance problem, the greatest modes will never be as well measured as the small angular scale modes.

Because of the absence of a net force in the azimuthal direction, conservation of angular momentum allows the radial component of this equation to be expressed solely with respect to the radial coordinate, r, and the angular momentum, yielding the radial equation ( a " fictitious one-dimensional problem " with only an r dimension ):

Up until that time, attempts to make the old quantum theory of the atom compatible with the theory of relativity, attempts based on discretizing the angular momentum stored in the electron's possibly non-circular orbit of the atomic nucleus, had failed-and the new quantum mechanics of Heisenberg, Pauli, Jordan, Schrödinger, and Dirac himself had not developed sufficiently to treat this problem.

However, low-flying aircraft presented a very different problem, with very short engagement times and high angular rates of motion, but at the same time less need for ballistic accuracy.

Imposing this regularity in the solution Θ of the second equation at the boundary points of the domain is a Sturm – Liouville problem that forces the parameter λ to be of the form λ = ℓ ( ℓ + 1 ) for some non-negative integer with ℓ ≥ | m |; this is also explained below in terms of the orbital angular momentum.

The main problem was angular momentum distribution between the Sun and planets.

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

He says, “ It is possible a priori to solve this problem dust with intrinsic angular momentum exactly in the formalism of general relativity but in the general situation we have no practical approach because of mathematical difficulties .” Adamowicz ’ s conclusion is at best incomplete: it is not possible to solve the full problem exactly in general relativity, including spin-orbit coupling, without adopting the larger framework of Einstein – Cartan theory.

The peculiar symmetry of the Kepler problem results in the conservation of both the angular momentum vector L and the LRL vector A ( as defined above ) and, quantum mechanically, ensures that the energy levels of hydrogen do not depend on the angular momentum quantum numbers l and m. The symmetry is more subtle, however, because the symmetry operation must take place in a higher-dimensional space ; such symmetries are often called " hidden symmetries ".

Classically, the higher symmetry of the Kepler problem allows for continuous alterations of the orbits that preserve energy but not angular momentum ; expressed another way, orbits of the same energy but different angular momentum ( eccentricity ) can be transformed continuously into one another.

Figure 4: The angular momentum vector L, the LRL vector A and Hamilton's vector, the binormal B, are mutually perpendicular ; A and B point along the major and minor axes, respectively, of an elliptical orbit of the Kepler problem.

Specific relative angular momentum plays a pivotal role in the analysis of the two-body problem.

Thus, in the Kepler problem, the angular momentum of a planet about the sun is conserved and the areal velocity is a vector of constant magnitude perpendicular to the orbital plane.

For a fixed value of the total angular momentum L, the Hamiltonian for a classical Kepler problem is ( the unit of mass and unit of energy redefined to absorb two constants ):

The particle's linear and angular momentum are not conserved in Euler's problem, since the two centers of force act like external forces upon the particle, which may yield a net force and torque on the particle.

The Lazarus approach, in the meantime, gave the best insight into the binary black hole problem and produced numerous and relatively accurate results, such as the radiated energy and angular momentum emitted in the latest merging state, the linear momentum radiated by unequal mass holes, and the final mass and spin of the remnant black hole.

The problem with this hypothesis is that it does not explain the angular momentum of the Earth-Moon system or why the Moon has a relatively small iron core compared to the Earth ( 25 % of its radius compared to 50 % for the Earth ).