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In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations.The idea is to choose a finite-dimensional space of candidate solutions (usually polynomials up to a certain degree) and a number of points in the domain (called collocation points), and to select that solution which satisfies the ...
If the apex of the pyramid is directly above the center of the square, it is a right square pyramid with four isosceles triangles; otherwise, it is an oblique square pyramid. When all of the pyramid's edges are equal in length, its triangles are all equilateral. It is called an equilateral square pyramid, an example of a Johnson solid.
The base regularity of a pyramid's base may be classified based on the type of polygon: one example is the star pyramid in which its base is the regular star polygon. [28] The truncated pyramid is a pyramid cut off by a plane; if the truncation plane is parallel to the base of a pyramid, it is called a frustum.
In corpus linguistics, a collocation is a series of words or terms that co-occur more often than would be expected by chance. In phraseology , a collocation is a type of compositional phraseme , meaning that it can be understood from the words that make it up.
The enumeration of Johnson solids may be denoted as , where denoted the list's enumeration (an example is denoted the first Johnson solid, the equilateral square pyramid). [7] The following is the list of ninety-two Johnson solids, with the enumeration followed according to the list of Johnson (1966) :
Collocation extraction is the task of using a computer to extract collocations automatically from a corpus.. The traditional method of performing collocation extraction is to find a formula based on the statistical quantities of those words to calculate a score associated to every word pairs.
A square pyramid of cannonballs at Rye Castle in England 4900 balls arranged as a square pyramid of side 24, and a square of side 70. The cannonball problem asks for the sizes of pyramids of cannonballs that can also be spread out to form a square array, or equivalently, which numbers are both square and square pyramidal. Besides 1, there is ...
the dihedral angle of an elongated pentagonal bipyramid between square-to-triangle is the sum of the dihedral angle of a pentagonal pyramid between triangle-to-pentagon with that of a pentagonal prism between square-to-pentagon, 37.38° + 90° = 127.38°. The dual of the elongated square bipyramid is a pentagonal bifrustum.