The problem arises, if it does arise, when the educator has to make a choice or a decision within the area of his professional competence, but which bears some relation to the social structure.

), is not typically deemed as problematic: The " problem " arises when mood changes are uncontrollable and, more importantly, volatile or " mercurial ".

This situation arises for all homonuclear diatomic molecules and is particularly a problem for F < sub > 2 </ sub >, where the minimum energy of the curve with molecular orbital theory is still higher in energy than the energy of two F atoms.

Its necessity arises from the well-known fact that apart from relatively recent results concerning the hydrogen molecular ion ( see references therein for more details ), the quantum n-body problem cannot be solved analytically, much less in closed form.

Another problem arises if the dynasty falls even if it was virtuous.

Centrifugal force arises in the analysis of orbital motion and, more generally, of motion in a central-force field: in the case of a two-body problem, it is easy to convert to an equivalent one-body problem with force directed to or from an origin, and motion in a plane, so we consider only that.

" The problem of economic calculation arises in an economy which is perpetually subject to change ...

Yet a problem arises similar to that dealing with ' history ' above, a chicken-and-egg problem.

The problem of density estimation arises in two applications.

The problem of length biased sampling arises in a number of areas including textile manufacture pedigree analysis and survival analysis

Inevitably, the problem arises: How can one ever say that both S2 and S3 are the same ship as S1, the original Theseus?

The theorem partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics.

The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.

The problem arises because we can't tell which families have both parents as carriers ( heterozygous ) unless they have a child who exhibits the characteristic.

The " diamond problem " ( sometimes referred to as the " deadly diamond of death ") is an ambiguity that arises when two classes B and C inherit from A, and class D inherits from both B and C. If D calls a method defined in A ( and does not override the method ), and B and C have overridden that method differently, then from which class does it inherit: B, or C?

While it is possible to define some arbitrary, ad hoc cost function, frequently a particular cost will be used, either because it has desirable properties ( such as convexity ) or because it arises naturally from a particular formulation of the problem ( e. g., in a probabilistic formulation the posterior probability of the model can be used as an inverse cost ).

A problem arises when the former is combined with " S entails S *", leading to a contradiction.

Selective reporting is sometimes referred to as a " file drawer " problem, which arises when only positive study results are made public, while studies with negative or null results are not made public.

The problem then arises, as Raymond Brown points out, whether this letter is an authentic writing of Paul written by one of his followers in his name.

But now another problem about the notion that God is a mind arises.

When the problem is considered even more closely, the need for a vertical ( parallel to the axis of rotation ) component of the magnetic field arises.

The problem arises from attempts to account for the phenomenon of similarity or attribute agreement among things.

The distances of these points of light is a problem he cannot master, beyond crude conjectures as to the orderings of the planetary orbits viewed outward from earth.

But during nighttime hours the skywave radiations are reflected from the ionosphere, thereby creating the possibility of one station's rendering service, via skywave, at a much greater distance than it can through its groundwave signal, and at the same time vastly complicating the interference problem because of the still greater distance over which these skywave signals may cause interference to the signals of stations on the same and closely adjacent frequencies.

For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.

There is a common problem behind most of these federal question and diversity cases.

The general basis on which these common costs are assigned to differently measured units of service will be illustrated by the following highly simplified problem of an electric-utility cost analysis.

Finding sources for these high quality foods is a problem.

Shortly before his nomination he had set forth his basic view about the problem of negotiations with the Soviet leader in these words:

To make one nation out of these disparities would be a problem large enough in any case ; ;

We are evidently trying hard to think of new ways to deal with the problem of fear these days.

In the meantime, we might be thinking on the problem all these dead beasts represent.

In these cases, statistical mechanics is a more valid method of solving the problem than continuous aerodynamics.

In the field of artificial intelligence, the most difficult problems are informally known as AI-complete or AI-hard, implying that the difficulty of these computational problems is equivalent to solving the central artificial intelligence problem — making computers as intelligent as people, or strong AI.

Because these methods are diverse and use data from such different sources, the problem of integrating them into a coherent argument has been a long-term issue for archaeoastronomers.

" Of the scholastics he says :" Yet they will have us beleeve, that by the Almighty power of God, one body may be at one and the same time in many places problem of the universals ; and many bodies at one and the same time in one place whole and the parts ; ... And these are but a small part of the Incongruencies they are forced to, from their disputing philosophically, in stead of admiring, and adoring of the Divine and Incomprehensible Nature ...."

Schaefer's dichotomy theorem states that, for any restriction to Boolean operators that can be used to form these subformulae, the corresponding satisfiability problem is in P or NP-complete.

One problem with this encode-transmit-receive-decode model is that the processes of encoding and decoding imply that the sender and receiver each possess something that functions as a codebook, and that these two code books are, at the very least, similar if not identical.

She made a public statement after her release, saying: " I would just like to thank the court for allowing me these 90 days ... helped me deal with a very gnarly drug problem, which is behind me ...

Because many outstanding problems in number theory, such as Goldbach's conjecture are equivalent to solving the halting problem for special programs ( which would basically search for counter-examples and halt if one is found ), knowing enough bits of Chaitin's constant would also imply knowing the answer to these problems.

The problem is that these materials tend to be deeply buried, at least for simple craters.

He would understand they had a real problem when they start finding several of these things flying around the place.

Informally, a computational problem consists of problem instances and solutions to these problem instances.