### Tableaux hat, stellt sich die Frage nach einer kombinatorischen Interpretation der Schubertpolynome, die im Spezialfall Schurpolynom wieder die Menge der Tableaux ist. Eine Antwort auf diese Frage gibt der nachste Abschnitt. 2.2 Worte, Tableaux und Schubertpolynome Es werden zuerst grundlegende Begri e vorgestellt, wie sie in verschiedenen Artikeln [LS81.1, LS88.1] von Lascoux und Sch utzenberger de niert wurden. Anschlie end wird die nicht kommutative Theorie der Schubertpolynome betra- chtet.

### Table 3: Sprint vs. Shrinking.

2006

"... In PAGE 14: ... As long as the ratio of major iterations to the number of cheap iterations is small, the implementation will be efficient. Table3 below shows that sprint outperforms shrinking in most cases, especially on larger, more difficult problems. 4.... ..."

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### Table 2. Settings for SPRINT classification algorithm

### Table 7: Parameters for case (Z, BOM, sprint)

### Table 10: Results of carse (X, IIOM, sprint)

### Table 4.2 and 4.3 show the results for two matching tasks, the localization of faces and hand postures. For both tasks matching within the approach described in this chapter is compared to the matching with bunch graphs as described in (Wiskott et al., 1997; Kr uger et al., 1997; Triesch and von der Malsburg, 1996). The extremely di cult face test set contains 120 frontal faces with uncontrolled illu-

### Table 1: This table lists the aI and the K coe cients for di erent telepar- allel Lagrangians. GRk, spelled out in the rst column, represents a viable gravitational model, the same is true for the von der Heyde case. Obviously, the Kaniel-Itin Lagrangian, in the framework of the conventional variational procedure, is not viable. We have KI = YM + YMy and vdH = YM ? YMy.

"... In PAGE 3: ... 4 we give a short overview of teleparallelism theories and the rele- vant quadratic Lagrangians. We will discuss the viable set of Lagrangians and display the results in Table1 . We will show that the KI-Lagrangian, for arbitrary variations, is not viable.... In PAGE 15: ... Therefore, on a phenomenological level, all viable teleparallel theories are indistinguishable. In Table1 we have listed some quadratic torsion Lagrangians. It follows from the end of the last subsection, see also (63), that only the teleparallel equivalent of Einstein apos;s general relativity is both viable and locally Lorentz invariant.... In PAGE 18: ...18 Its Euler-Lagrange equation can be read o from (56) by substituting the coe cients (59): ?2`2 = 2 # ^ d ? ?# ^ d# + 4 d ?d# + 2e c ?d# ^ ?d# ? 4 ?e cd# ^ ?d# ? 2d# ^ ? ?# ^ d# ? e c # ^ d# ^ ? (d# ^ # ) + 2 ?e cd# ^ # ^ ? (d# ^ # ) : (65) In the rst line, we displayed the second derivatives of the gravitational potential. As we already saw in Table1 , this eld equation is not viable. If we use the the constrained variations in (64), then we commute and the star ? and nd by simple algebra: `2 (VKI + Lmat) = # ^ ?? + `2 = 0 : (66) Since the variations are constrained, we have to turn to our proposition and to use (35): # = ! # , with !( ) = 0.... ..."

### Table 12: Price Differences Controlling for Market Attributes Not Controlling for Sprint Controlling for Sprint

2000

"... In PAGE 25: ...24 To make the price regression data more digestible, Table12 predicts the prices for signaling and nonsignaling bidders using the results from the DE-block regressions. The log prices are predicted using the weighted means for all the variables except for the signaling bidder dummy variable, which correspondingly takes the value of 1 or 0, and then the log prices are exponentiated to give a dollar figure.... ..."

### TABLE III CONFIGURATION OVERHEAD: SPRINT BACKBONE, ALL ENTRIES ARE PER NODE

2003

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### Table 3. Computational Time and Insensitivity Indicators for Sprint n/w

2005

"... In PAGE 11: ...4 correctly explain this situation. The P and G indicators for the various networks at various levels of utilization have been computed in Table3 (a). Note from the 2nd entry, which represents the network in question, that it has a G entry of 0.... In PAGE 12: ... Based on the values of P and G, one can decide to skip the more expensive Phase 2, and/or initiate a redesign of the network. Table3 (b), displays statistics of the computation time (on a Dell Intel 1.5 GHz) for each heuristic on the Sprint network.... ..."

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