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SubSpace is a 2D space shooter video game created in 1995 and released in 1997 by Virgin Interactive [1] which was a finalist for the Academy of Interactive Arts & Sciences Online Game of the Year Award in 1998. [2] SubSpace incorporates quasi-realistic zero-friction physics into a massively multiplayer online game. [3]
Linear subspace, in linear algebra, a subset of a vector space that is closed under addition and scalar multiplication; Flat (geometry), a Euclidean subspace; Affine subspace, a geometric structure that generalizes the affine properties of a flat; Projective subspace, a geometric structure that generalizes a linear subspace of a vector space
The signal subspace is also used in radio direction finding using the MUSIC (algorithm). [1] Essentially the methods represent the application of a principal components analysis (PCA) approach to ensembles of observed time-series obtained by sampling, for example sampling an audio signal.
In the following, represents the real numbers with their usual topology. The subspace topology of the natural numbers, as a subspace of , is the discrete topology.; The rational numbers considered as a subspace of do not have the discrete topology ({0} for example is not an open set in because there is no open subset of whose intersection with can result in only the singleton {0}).
The fundamental observation MUSIC and other subspace decomposition methods are based on is about the rank of the autocorrelation matrix which is related to number of signal sources as follows. If the sources are complex, then M > p {\displaystyle M>p} and the dimension of the signal subspace U S {\displaystyle {\mathcal {U}}_{S}} is p ...
The problem is to decide whether every such T has a non-trivial, closed, invariant subspace. It is unsolved. In the more general case where V is assumed to be a Banach space, Per Enflo (1976) found an example of an operator without an invariant subspace. A concrete example of an operator without an invariant subspace was produced in 1985 by ...
"Subspace Rhapsody" is the ninth episode of the second season of Star Trek: Strange New Worlds. In this episode, Captain Christopher Pike and the crew of the USS Enterprise (NCC-1701) encounter a naturally occurring fold in subspace which, when interacted with, causes the entire crew to start singing their private thoughts and feelings.
In mathematics, specifically in control theory, subspace identification (SID) aims at identifying linear time invariant (LTI) state space models from input-output data. SID does not require that the user parametrizes the system matrices before solving a parametric optimization problem and, as a consequence, SID methods do not suffer from problems related to local minima that often lead to ...