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The problem of finding the Delaunay triangulation of a set of points in d-dimensional Euclidean space can be converted to the problem of finding the convex hull of a set of points in ( d + 1 )- dimensional space, by giving each point p an extra coordinate equal to | p |< sup > 2 </ sup >, taking the bottom side of the convex hull, and mapping back to d-dimensional space by deleting the last coordinate.
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problem and finding
A pressing problem was finding space for additions to the library which now required an extra 1 miles of shelving each year.
Later the meaning expanded, indicating a person who is a quick thinker in finding a solution for a problem.
On-sighting is a form of adventure climbing emphasizing the skills of route finding, quick thinking and problem solving.
He would understand they had a real problem when they start finding several of these things flying around the place.
Further, 43 percent of respondents said they use less than half the functionality of their existing system ; 72 percent indicated they would trade functionality for ease of use ; 51 percent cited data synchronization as a major issue ; and 67 percent said that finding time to evaluate systems was a major problem.
For example, consider the problem of finding an integer x such that
They are also related to optimization problems, which are concerned with finding the best answer to a particular problem.
Fermat's proof was never found, and the problem of finding a proof for the theorem went unsolved for centuries.
An application of Euclidean solid geometry is the determination of packing arrangements, such as the problem of finding the most efficient packing of spheres in n dimensions.
The critical step of finding a mapping between the problem and a pre-existing schema is often cited as supporting the centrality of analogical thinking to problem solving.
The first step in finding a real solution was to mount the weapon on the aircraft, but the propeller remained a problem since the best direction to shoot is straight ahead.
: the problem of finding optimal colorings of graphs that are not necessarily planar.
A common problem, called the subgraph isomorphism problem, is finding a fixed graph as a subgraph in a given graph.
Unfortunately, finding maximal subgraphs of a certain kind is often an NP-complete problem.
A similar problem is finding induced subgraphs in a given graph.
The Pharisees of Judea emerged as the new leaders of the Jewish community after the war, and the loss of the Temple and its priests and the ritual of sacrifice faced them with the problem of finding a new Jewish identity.
The problem lies in finding a way to unite the patriarchal theme of divine promise to the primeval history, with its theme of God's continuing mercy in the face of man's sinful nature.
Redburn and White-Jacket had no problem finding publishers.
In 1997, Juan Maldacena gave the first holographic descriptions of a higher dimensional object, the 3 + 1 dimensional type IIB membrane, which resolved a long-standing problem of finding a string description which describes a gauge theory.
problem and Delaunay
It was at that time that Charles-Eugène Delaunay was studying the perturbative expansion for the Earth-Moon-Sun system, and discovered the so-called " problem of small denominators ".
problem and triangulation
Where previous attempts at triangulation of quantum spaces have produced jumbled universes with far too many dimensions, or minimal universes with too few, CDT avoids this problem by allowing only those configurations where cause precedes any event.
Given a set of edges that connect some pairs of the points, the problem to determine whether they contain a triangulation is NP-complete ( Lloyd, 1977 ).
** By extension, an extra point added to a point set as part of the solution of any other geometric problem, such as in minimum-weight triangulation
Where previous attempts at triangulation of quantum spaces have produced jumbled universes with far too many dimensions, or minimal universes with too few, CDT avoids this problem by allowing only those configurations where cause precedes any event.
This problem can be solved using algorithms for multistripe laser triangulation.
problem and set
This method in general solved the problem of obtaining fairly equal concentrations of reactants in each of the six cells from a set.
Shortly before his nomination he had set forth his basic view about the problem of negotiations with the Soviet leader in these words:
" The problem then becomes that of constructing a well-ordering, which turns out to require the axiom of choice for its existence ; every set can be well-ordered if and only if the axiom of choice holds.
A standard solution to this problem is found in Zermelo's set theory, which does not allow the unrestricted formation of sets from arbitrary properties.
The problem of deciding whether a set of Horn clauses is satisfiable is in P. This problem can indeed be solved by a single step of the Unit propagation, which produces the single minimal model of the set of Horn clauses ( w. r. t.
( A very similar problem is the design of a banked turn, where the slope of the turn is set so a car will not slide off the road.
Although counting the number of elements in a set is a rather broad mathematical problem, many of the problems that arise in applications have a relatively simple combinatorial description.
An example of an NP-complete problem is the subset sum problem: given a finite set of integers is there a non-empty subset which sums to zero?
The complementary problem is in co-NP and asks: " given a finite set of integers, does every non-empty subset have a nonzero sum?
Not every set that is Turing equivalent to the halting problem is a halting probability.
In this context, a computational problem is understood to be a task that is in principle amenable to being solved by a computer ( i. e. the problem can be stated by a set of mathematical instructions ).
(" Postulate " in Dianetics and Scientology has the meaning of " a conclusion, decision or resolution made by the individual himself ; to conclude, decide or resolve a problem or to set a pattern for the future or to nullify a pattern of the past " in contrast to its conventional meanings.
The problem set was launched as a talk " The Problems of Mathematics " presented during the course of the Second International Congress of Mathematicians held in Paris.
In an account that had become standard by the mid-century, Hilbert's problem set was also a kind of manifesto, that opened the way for the development of the formalist school, one of three major schools of mathematics of the 20th century.
A decision problem is any arbitrary yes-or-no question on an infinite set of inputs.
Because of this, it is traditional to define the decision problem equivalently as: the set of inputs for which the problem returns yes.
While every computable number is definable, the converse is not true: the numeric representations of the Halting problem, Chaitin's constant, the truth set of first order arithmetic, and 0 < sup >#</ sup > are examples of numbers that are definable but not computable.
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