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      Subspace may refer to:


      Mathematics


      Subspace, a particular subset of a parent space
      A subset of a topological space endowed with the subspace topology
      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
      Multilinear subspace in multilinear algebra, a subset of a tensor space that is closed under addition and scalar multiplication


      Science fiction


      Also known as hyperspace
      Subspace (Star Trek), a fictional feature of space-time that facilitates faster-than-light communication and transit


      Games


      SubSpace (video game), a two-dimensional space shooter computer game
      The Subspace Emissary, the Adventure mode in the video game Super Smash Bros. Brawl


      Other uses


      "Subspace" (song), a 2001 single by Funker Vogt
      Subspace, in BDSM, a psychological state that can be entered by the submissive participant

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    What is the Role of Subspace in Sci-Fi Universes? - Physics Forums

    Dec 19, 2004 · "Subspace" and "hyperspace" are literary inventions that are invoked to allow the transmission of information and the transport of masses through space at FTL speeds in TV …

    Prove the sum of two subspaces is also a subspace. - Physics …

    Sep 7, 2009 · Hi I'm trying to prove that the sum of two subspaces [tex]U[/tex] and [tex]W[/tex] is also a subspace. Homework Equations [tex]U[/tex] is a subspace of [tex]V[/tex] if [tex]U[/tex] is …

    Why R2 is not a subspace of R3? - Physics Forums

    Aug 25, 2006 · That said, originally, I was a little surprised by the question. It is common to think of R^2 as being a subset of R^3 using the obvious isomorphism to a subspace of R^3: (a, b)-> …

    Is there a symbol for indicating one vector space is a subspace of …

    Apr 27, 2011 · Hi all, I was just wondering, is there is a particular symbol to say V is a subspace of W? I suppose V[tex]\subset[/tex]W works if I describe each (sub)space in set notation first, but …

    Linear Algebra: Prove that the set of invertible matrices is a …

    Jan 27, 2013 · Homework Statement Is U = {A| A \\in nℝn, A is invertible} a subspace of nℝn, the space of all nxn matrices? The Attempt at a Solution This is easy to prove if you assume the …

    Does the set of solutions for Ax=b form a subspace? - Physics …

    Jun 13, 2011 · I have a non-homogeneous Ax=b (with b non-zero) and i want to know if the set of all the solution vectors, x, forms a subspace. I know that every solution can be written as x = …

    Is the Intersection of Two Subspaces Always a Subspace?

    Oct 26, 2010 · I have shown that R and S are subspaces of R^3. Now I have to determine whether T is also a subspace of R^3. The answer provided is that yes, T is also a subspace, …

    Is every subspace of a connected space connected? - Physics …

    Aug 18, 2007 · If you mean general topological space, the answer is obviously "no". Any subset of a topological space is a subspace with the inherited topology. A non-connected subset of a …

    Is a subspace still valid without the zero vector? - Physics Forums

    Jan 21, 2009 · No, because the subspace will have negatives of elements, i.e., for all v an element of V, (-1)v or -v will be an element. For the subspace to be closed under addition (a necessary …

    How to determine the smallest subspace? - Physics Forums

    Jan 23, 2016 · How can one know how small a subspace is? initially I thought it was determined from the number of elements in the subspace, but there infinite number of elements. Can also …