While the U. S. Department of Labor has a program of projecting industry and occupational employment trends and publishing current outlook statements, there is little tangible evidence that these projections have been used extensively in local curriculum planning.

While Protogeometric vases usually turn up, especially outside Greece proper, together with as many or more examples of local stamp, these `` non-Greek '' patterns had mostly vanished by the later ninth century.

While these positions were well suited for most of his local constituency, this was not the case when he stepped outside that region politically.

While Grothendieck lived in Chambon, he attended the Collège Cévenol ( now known as the Le Collège-Lycée Cévenol International ), a unique secondary school founded in 1938 by local Protestant pacifists and anti-war activists.

While the mechanism is unclear, it appears a local immune reaction is mounted against the tumor.

While the brown bear's range has shrunk and it has faced local extinctions, it remains listed as a least concern species by the IUCN with a total population of approximately 200, 000.

While some have theorized that unusual local magnetic anomalies may exist in the area, such anomalies have not been found.

While at Mondovì, he came to the attention of Francesco Adorno, the local Jesuit Provincial Superior, who sent him to the University of Padua.

The power of making by-laws was “ tacitly annexed to corporations by the very act of their establishment .” While they must not directly contradict the overarching laws of the land, the central or local government cannot be expected to regulate toward the peculiar circumstances of a given body, and so “ they are invested with authority to make regulations for the management of their own interests and affairs .”

While some Lutherans believe in consubstantiation, others reject the concept because it substitutes what they believe to be the biblical doctrine with a philosophical construct and implies, in their view, a natural, local inclusion of the body and blood of Christ in the consecrated bread and wine of the eucharist .< ref > J. T.

While state and local jurisdictions will implement training in the manner that best suits the community, the Citizen Corps CERT program has an established curriculum.

While Don Quixote is unconscious in his bed, his niece, the housekeeper, the parish curate, and the local barber secretly burn most of the books of chivalry, and seal up his library pretending that a magician has carried it off.

While Allen's service as a judge in Vermont was brief, he continued to ferret out Tories and report them to local Boards of Confiscation for action.

These " politically neutral " groups tend to avoid global conflicts and view the settlement of inter-human conflict as separate from regard for nature-in direct contradiction to the ecology movement and peace movement which have increasingly close links: While Green Parties and Greenpeace, and groups like the ACTivist Magazine for example, regard ecology, biodiversity and an end to non-human extinction as absolutely basic to peace, the local groups may not, and may see a high degree of global competition and conflict as justifiable if it lets them preserve their own local uniqueness.

" While the local prophets were sent with specific messages to specific groups of people, the universal prophets were sent with messages and books for all of humankind.

While at the school he became friendly with the curate of the local parish church and became involved with activities there.

While these networks cover the whole of Romandy, special programs related to Geneva are sometimes broadcast on some of the local frequencies in the case of special events such as elections.

While this event has no practical effect, the sautier issues a formal press release and the local newspaper will usually mention the news.

While outside aid or even troops can be helpful, lack of clear limits, in terms of either a realistic plan for victory or exit strategy, may find the foreign helper " taking over " the local war, and being sucked into a lengthy commitment, thus providing the guerrillas with valuable propaganda opportunities as the toll of dead foreigners mounts.

While officially discouraged in schools and seen as ' bad language ', local English teachers like the distinction, because it corresponds well with the English continuous form.

While the local Germanic tribes were allowed to preserve their laws, they were pressured into becoming Christians.

; Pharmacology: While it is well established that the skin provides an ideal site for the administration of local and systemic drugs, it presents a formidable barrier to the permeation of most substances.

While doing research into local economics during 1989, Glover had seen an " Hour " note 19th century British industrialist Robert Owen issued to his workers for spending at his company store.

While non-local businesses are welcome to accept Hours, those businesses need to spend them on local goods and services to be economically sustainable.

While Grothendieck topologies are most often used to define cohomology theories, they have found other applications as well, such as to John Tate's theory of rigid analytic geometry.

While the supergravity description assumes a continuous space-time, Matrix theory predicts that, at short distances, non-commutative geometry takes over, somewhat similar to the way the continuum of water breaks down at short distances in favor of the graininess of molecules.

While all motion in a mechanical system occurs in three dimensional space, planar motion can be analyzed using plane geometry, if all point trajectories are parallel to a plane.

While this definition is the most abstract, it is also the one most easily transferred to other settings, for instance to the varieties considered in algebraic geometry.

While he is best known for the Kolmogorov – Arnold – Moser theorem regarding the stability of integrable Hamiltonian systems, he made important contributions in several areas including dynamical systems theory, catastrophe theory, topology, algebraic geometry, classical mechanics and singularity theory, including posing the ADE classification problem, since his first main result — the partial solution of Hilbert's thirteenth problem in 1957 at the age of 19.

While Euclidean geometry, named after the Greek mathematician Euclid, includes some of the oldest known mathematics, non-Euclidean geometries were not widely accepted as legitimate until the 19th century.

While Lobachevsky created a non-Euclidean geometry by negating the parallel postulate, Bolyai worked out a geometry where both the Euclidean and the hyperbolic geometry are possible depending on a parameter k. Bolyai ends his work by mentioning that it is not possible to decide through mathematical reasoning alone if the geometry of the physical universe is Euclidean or non-Euclidean ; this is a task for the physical sciences.

While the ancient Egyptians empirically discovered some truths of geometry, the great achievement of the ancient Greeks was to replace empirical methods by demonstrative science.

While earlier Greek proofs were largely geometric demonstrations, the development of arithmetic and algebra by Islamic mathematicians allowed more general proofs that no longer depended on geometry.

While his original writings demonstrate that he had a sincere passion for the seven liberal arts ( grammar, rhetoric, logic, mathematics, geometry, music, and astronomy ), his work in Quaestiones naturales illustrated a more encompassing dedication to subjects such as physics, the natural sciences, and possibly even metaphysics.

While z-buffering allows the geometry to be unsorted, sorting polygons by increasing depth ( thus using a reverse painter's algorithm ) allows each screen pixel to be rendered fewer times.

While the ideas were available earlier, projective geometry was mainly a development of the nineteenth century.

While it is impossible to construct a perfect regular 56-sided polygon using simple ' square and circle ' geometry, a close approximation has recently been discovered which it is claimed might have been used at Stonehenge.

While each side would have length √ 2r using a Euclidean metric, where r is the circle's radius, its length in taxicab geometry is 2r.

While the former picture looks across the bridge with the ironworks diagonally crossing the picture to the right, with a scene of partially interacting chickens on the bridge to the left, the latter depicts the iron structure of the bridge face-on in a strong close-up of its industrial geometry, with three male figures to the left side of the painting all looking in different directions ( the Pont de l ' Europe is a massive bridge spanning the railyard of the newly-expanded station, which at that time had an iron-work trellis ).

While the Quillen algebraic K-theory has provided deep insight into various aspects of algebraic geometry and topology, the K-groups have proved particularly difficult to compute except in a few isolated but interesting cases.

While all these things made the game appear to be 3D, it wouldn't be until later first-person shooters, like Quake, that the engine actually stored the world geometry as true 3D information.

While algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several complex variables.