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In Euclidean geometry, linear separability is a property of two sets of points. This is most easily visualized in two dimensions (the Euclidean plane ) by thinking of one set of points as being colored blue and the other set of points as being colored red.
Any topological space that is itself finite or countably infinite is separable, for the whole space is a countable dense subset of itself. An important example of an uncountable separable space is the real line, in which the rational numbers form a countable dense subset.
Linear separability, a geometric property of a pair of sets of points in Euclidean geometry Recursively inseparable sets , in computability theory, pairs of sets of natural numbers that cannot be "separated" with a recursive set
Kirchberger's theorem is a theorem in discrete geometry, on linear separability.The two-dimensional version of the theorem states that, if a finite set of red and blue points in the Euclidean plane has the property that, for every four points, there exists a line separating the red and blue points within those four, then there exists a single line separating all the red points from all the ...
In quantum chemistry, size consistency and size extensivity are concepts relating to how the behaviour of quantum-chemistry calculations changes with the system size. Size consistency (or strict separability) is a property that guarantees the consistency of the energy behaviour when interaction between the involved molecular subsystems is nullified (for example, by distance).
Aubrey Dameron disappeared from Grove, Oklahoma, in March 2019. Remains found in January have been positively identified as belonging to her. The Quapaw Nation Marshal Service has stated that the ...
In other words, it is a separability criterion. The result ... Thus Ran(M) coincides with the linear span of {}. The range criterion is a special case of this fact.
Few foods are as taken for granted as much as limes. Ranked in one survey behind more than a dozen other fruits like strawberries, bananas, watermelon, and grapes, many people only appreciate a ...