Beamer Class Demonstration
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1 Beamer Class Demonstration MATH 198: Math Forum Harvey Mudd College 14 Feb 2005
2 Overview 1 Beamer Features 2 Representation Theory of S n
3 Levels of Structure ˆ usual L A TEX \section, \subsection commands ˆ frame environments provide slides ˆ block environments divide slides into logical sections ˆ columns environments divide slides vertically (example later) ˆ overlays (à la prosper) change content of slides dynamically Example (Overlay Alerts) On the first overlay, this text is highlighted (or alerted). On the second, this text is.
4 Levels of Structure ˆ usual L A TEX \section, \subsection commands ˆ frame environments provide slides ˆ block environments divide slides into logical sections ˆ columns environments divide slides vertically (example later) ˆ overlays (à la prosper) change content of slides dynamically Example (Overlay Alerts) On the first overlay, this text is highlighted (or alerted). On the second, this text is.
5 Levels of Structure ˆ Clean, extensively customizable visual style ˆ No weird scaling like prosper ˆ slides are 96 mm 128 mm ˆ text is 10-12pt on slide ˆ slide itself magnified with Adobe Reader/xpdf/gv to fill screen ˆ pgf graphics framework easy to use ˆ include external JPEG/PNG/PDF figures ˆ output directly to pdf: no PostScript hurdles ˆ detailed User s Manual (with good presentation advice, too)
6 Equations, Equations, Equations! One classy equation: G = Z(G) + whole group G r G : C G (g i ) Another equation (Cauchy Derivative Formulas): f (n) (z) = n! f (ζ) dζ, (n = 1, 2, 3,... ) 2πi Γ (ζ z) n+1 i=1
7 Equations, Equations, Equations! One classy equation: G = Z(G) + center of G r G : C G (g i ) Another equation (Cauchy Derivative Formulas): f (n) (z) = n! f (ζ) dζ, (n = 1, 2, 3,... ) 2πi Γ (ζ z) n+1 i=1
8 Equations, Equations, Equations! One classy equation: G = Z(G) + r G : C G (g i ) i=1 size of ith conj. class Another equation (Cauchy Derivative Formulas): f (n) (z) = n! f (ζ) dζ, (n = 1, 2, 3,... ) 2πi Γ (ζ z) n+1
9 Equations, Equations, Equations! One classy equation: r G = Z(G) + G : C G (g i ) i=1 Another equation (Cauchy Derivative Formulas): f (n) (z) = n! f (ζ) dζ, (n = 1, 2, 3,... ) 2πi Γ (ζ z) n+1
10 Equations, Equations, Equations! One classy equation: r G = Z(G) + G : C G (g i ) i=1 Another equation (Cauchy Derivative Formulas): f (n) (z) = n! f (ζ) dζ, (n = 1, 2, 3,... ) 2πi Γ (ζ z) n+1
11 Beamer Features Pictures (with graphicx) Exhibit A: Molinder-zilla Exhibit B: Tokyo
12 Representation Theory of S n Bratteli Diagram for 1 < S 2 < S 3 Graded diagram of proper partitions for 1 < S 2 < < S n CS 3
13 Representation Theory of S n Bratteli Diagram for 1 < S 2 < S 3 Each block for S n restricts to a multiplicity-free direct sum of blocks for S n 1 by removing a box CS 3
14 Representation Theory of S n Bratteli Diagram for 1 < S 2 < S 3 Each pathway through the diagram corresponds to a filled-in partition and a row/column in matrix CS 3 1
15 Representation Theory of S n Bratteli Diagram for 1 < S 2 < S 3 Each pathway through the diagram corresponds to a filled-in partition and a row/column in matrix CS
16 Representation Theory of S n Bratteli Diagram for 1 < S 2 < S 3 A pair of paths ending at same diagram specifies a 1-D Fourier space CS 3
17 Representation Theory of S n Stages of Subspace Projections ˆ Partial paths give CS n subspaces ˆ At stage for S k, project onto these subspaces ˆ Build sparse factor from projections ˆ Full paths by stage for S n CS 3 = ( ) ( ) ( )
18 Representation Theory of S n Stages of Subspace Projections ˆ Partial paths give CS n subspaces ˆ At stage for S k, project onto these subspaces ˆ Build sparse factor from projections ˆ Full paths by stage for S n CS 3 = ( ) ( ) ( )
19 Representation Theory of S n References On The Web Senior thesis website: emalm/thesis/ Beamer Website
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