This TiddlyWiki contains the following tiddlers:
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- $:/_sq/Stories/config/sidebaroverlaybreakpoint
- $:/_sq/Stories/Story2HistoryList
- $:/_sq/Stories/Story2StoryList
- $:/.giffmex/.Stylesheet4Stroll
- $:/.giffmex/sidebar/tabs/strollcontrols
- $:/.giffmex/ViewTemplate/refscontext
- $:/.giffmex/ViewTemplate/refshidden
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- $:/.giffmex/ViewTemplate/refstranscludeclean
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- 1.1 definition: complex numbers
- 1.10 notation: n
- 1.11 definition: F^n, coordinate
- 1.13 definition: addition in F^n
- 1.14 commutativity of addition in F^n
- 1.15 notation: 0
- 1.17 definition: additive inverse in F^n, -x
- 1.18 definition: scalar multiplication in F^n
- 1.19 definition: addition, scalar multiplication
- 1.20 definition: vector space
- 1.21 definition: vector, point
- 1.22 definition: real vector space, complex vector space
- 1.24 notation: F^S
- 1.26 unique additive identity
- 1.27 unique additive inverse
- 1.28 notation: -v, w - v
- 1.29 notation: V
- 1.3 properties of complex arithmetic
- 1.30 the number 0 times a vector
- 1.31 a number times the vector 0
- 1.32 the number -1 times a vector
- 1.33 definition: subspace
- 1.34 conditions for a subspace
- 1.35 example: subspaces
- 1.36 definition: sum of subspaces
- 1.40 sum of subspaces is the smallest containing subspace
- 1.41 definition: direct sum
- 1.44 example: a sum that is not a direct sum
- 1.45 condition for a direct sum
- 1.46 direct sum of two subspaces
- 1.5 definition: additive inverse, subtraction, multiplicative inverse, division
- 1.6 notation: F
- 1.8 definition: list, length
- 1A
- 1B
- 1C
- algebraic closure
- algebraic manipulation of exponents
- axiom of choice
- Chapter 1: Vector Spaces
- data, stuff, structure, property
- Direct sum operates on vector spaces, not vectors
- equivalence relation
- exponentials
- Extemporanea
- fonts
- generalize the particular
- How can the empty set possibly satisfy additive inverse?
- How to define scaling for V^S?
- If b != 0 is false, doesn't that mean b = 0?
- jds
- macros
- map notation
- meta: 1.35 example: subspaces
- non-constant polynomial with coefficients...
- proof by contradiction
- rationals
- relation
- styles
- Subtleties when navigating levels of abstraction
- syntactic sugar
- Table of contents
- todo