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Moving least squares is a method of reconstructing continuous functions from a set of unorganized point samples via the calculation of a weighted least squares measure biased towards the region around the point at which the reconstructed value is requested.
In the context of proofs, this phrase is often seen in induction arguments when passing from the base case to the induction step, and similarly, in the definition of sequences whose first few terms are exhibited as examples of the formula giving every term of the sequence. necessary and sufficient
Geospatial PDF is a set of geospatial extensions to the Portable Document Format (PDF) 1.7 specification to include information that relates a region in the document page to a region in physical space — called georeferencing. [1] A geospatial PDF can contain geometry such as points, lines, and polygons.
In the former case, equivalence of two definitions means that a mathematical object (for example, geometric body) satisfies one definition if and only if it satisfies the other definition. In the latter case, the meaning of equivalence (between two definitions of a structure) is more complicated, since a structure is more abstract than an object.
OFF (Object File Format) is a geometry definition file format containing the description of the composing polygons of a geometric object. [1] It can store 2D or 3D objects, and simple extensions allow it to represent higher-dimensional objects as well. [2]
In more fancy terms, affine morphisms are defined by the global Spec construction for sheaves of O X-Algebras, defined by analogy with the spectrum of a ring. Important affine morphisms are vector bundles, and finite morphisms. 5. The affine cone over a closed subvariety X of a projective space is the Spec of the homogeneous coordinate ring of X.
The dimension function D from L to the unit interval is defined as follows. If equivalence classes A and B contain elements a and b with a ∧ b = 0 then their sum A + B is defined to be the equivalence class of a ∨ b. Otherwise the sum A + B is not defined. For a positive integer n, the product nA is defined to be the sum of n copies of A ...
A plane conic passing through the circular points at infinity. For real projective geometry this is much the same as a circle in the usual sense, but for complex projective geometry it is different: for example, circles have underlying topological spaces given by a 2-sphere rather than a 1-sphere. circuit A component of a real algebraic curve.