¹ *Source: wiktionary.com*

### Definition of Subspaces

**1.** subspace [n] - See also: subspace

### Subspaces Pictures

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### Lexicographical Neighbors of Subspaces

### Literary usage of Subspaces

Below you will find example usage of this term as found in modern and/or classical literature:

**1.** *Topics in the Geometric Theory of Integrable Mechanical Systems* by Robert Hermann (1984)

"EULER-ARNOLD VECTOR FIELDS THAT ARE TANGENT TO THE JACOBI **subspaces** Let C be a
... be a Jacobi triple of linear **subspaces**. Let J be the associated Jacobi ..."**2.** *Geometry of Non-Linear Differential Equations, Backlund Transformations, and* by Robert Hermann (1977)

"A2 = vd A Vd a space of skew-symmetric bilinear maps VxV + R and so forth.
For each integer m, let Gm(V) denote the space of n-dimensional linear **subspaces** ..."**3.** *Topics in Physical Geometry* by Robert Hermann (1988)

"LAX REPRESENTATIONS FOR CERTAIN VECTOR FIELDS ON LINEAR **subspaces** OF LIE ALGEBRAS
As I have mentioned, the most important situation for Integrable Systems ..."**4.** *Real Analysis* by Andrew M. Bruckner, Judith B. Bruckner, Brian S. Thomson (1997)

"13:10.6 In the proof of Theorem 13.33 we left out some details involving "subsequences
of subsequences." How might these be provided? 13.11 Closed **subspaces** ..."**5.** *Convex Optimization and Euclidean Distance Geometry* by Jon Dattorro (2005)

"E.3.1 Four **subspaces** We summarize the orthogonal projectors projecting on the
four fundamental **subspaces**: for ..."**6.** *Elementary Real Analysis* by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner (2001)

"13.8.2 **subspaces** of a Complete Space Suppose now we wish to prove that the space
C[a, b] is complete. We could argue exactly as we did with M[a, ..."**7.** *Proceedings of the Berkeley-Ames Conference on Nonlinear Problems in Control* by Louis R. Hunt, Clyde Martin (1984)

"Thus, the classical power method is actually an iteration on the set of
one-dimensional **subspaces** of Rn, and the points of ..."