Information om | Engelska ordet BARYCENTRIC

Exempel på hur man kan använda BARYCENTRIC i en mening

• Since barycentric coordinates are all positive for a point in a triangle's interior but at least one is negative for a point in the exterior, and two of the barycentric coordinates are zero for a vertex point, the barycentric coordinates given for the orthocenter show that the orthocenter is in an acute triangle's interior, on the right-angled vertex of a right triangle, and exterior to an obtuse triangle.
• In astronomy, barycentric coordinates are non-rotating coordinates with the origin at the barycenter of two or more bodies.
• When subdividing simplicial complexes (the first barycentric subdivision of a simplicial complex is a refinement), the situation is slightly different: every simplex in the finer complex is a face of some simplex in the coarser one, and both have equal underlying polyhedra.
• In particular, there is the barycentric celestial reference system (BCRS) centered at the barycenter of the Solar System, and the geocentric celestial reference system (GCRS) centered at the center of mass of the Earth (including its fluid envelopes).
• The use of a barycentric plot on three variables graphically depicts the ratios of the three variables as positions in an equilateral triangle.
• The general continuous mapping between such spaces can be represented approximately by the type of mapping that is (affine-) linear on each simplex into another simplex, at the cost (i) of sufficient barycentric subdivision of the simplices of the domain, and (ii) replacement of the actual mapping by a homotopic one.
• For an arbitrary, unstructured mesh (as used in finite element analysis), other methods of interpolation must be used; if all the mesh elements are tetrahedra (3D simplices), then barycentric coordinates provide a straightforward procedure.
• It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated tetrahedron, and as the barycentric subdivision of a tetrahedron.
• More formally, the disdyakis dodecahedron is the Kleetope of the rhombic dodecahedron, and the barycentric subdivision of the cube or of the regular octahedron.
• Two tuples of barycentric coordinates specify the same point if and only if they are proportional; that is to say, if one tuple can be obtained by multiplying the elements of the other tuple by the same non-zero number.
• More specifically, the ICRF is an inertial barycentric reference frame whose axes are defined by the measured positions of extragalactic sources (mainly quasars) observed using very-long-baseline interferometry while the Gaia-CRF is an inertial barycentric reference frame defined by optically measured positions of extragalactic sources by the Gaia satellite and whose axes are rotated to conform to the ICRF.
• It is now often re-interpreted as the position of the mean lunar apogee as measured from the geocenter; variants of the Black Moon include replacing the mean orbit with a "true" osculating orbit or with an interpolated orbit; charting the empty focus of the Moon's orbit instead of the apogee; and measuring the desired point's barycentric or topocentric position instead of its geocentric position.
• Electrogravitic systems: An examination of electrostatic motion, dynamic counterbary and barycentric control (Report GRG 013/56).
• A new technique has also recently introduced, called the barycentric fixed mass method, to improve considerably the estimation of multifractal structures of spatio-temporal seismicity expected from the MSA model.
• Before entering the planetary region (epoch 1800), Elenin had a calculated barycentric orbital period of tens of millions of years with an apoapsis (aphelion) distance of about.
• observed that if each new vertex is placed at the incenter of its triangle, so that the edges to the new vertex bisect the angles of the triangle, then the set of triples of angles of triangles in the subdivision, when reinterpreted as triples of barycentric coordinates of points in an equilateral triangle, converges in shape to the Sierpinski triangle as the number of levels of subdivision grows.
• The barycentric subdivision is a derived subdivision where the points used for starring are always barycenters of simplices.
• The multicover bifiltration is also topologically equivalent to a multicover nerve construction due to Sheehy called the subdivision-Čech bifiltration, which considers the barycentric subdivision on the nerve of the offsets.

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