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Natural principal connections on the principal gauge prolongation of a principal bundle

Reports on Mathematical Physics, 2009
For a principal bundle \(P\) over a manifold \(M\) with structure group \(G\) and an integer \(r\), one can form the \(r\)-th principal prolongation \(W^rP\), which essentially consists of \(r\)-jets of local principal bundle charts. This is a principal bundle with structure group the \(r\)-th prolongation \(W^r_mG\), where \(m\) is the dimension of ...
Janyška, Josef, Vondra, Jan
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Principal Presence, Principal Mystique

Principal Presenceis a practical, no-nonsense guide for school leaders who want to sharpen their focus on what matters most—improving teaching and learning. Designed for busy principals juggling competing demands, this book cuts through the noise to spotlight the five foundational systems every school needs to thrive: Communication, Collaboration ...
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Principal components

2012
Principal Components are probably the best known and most widely used of all multivariate analysis techniques. The essential idea consists in performing a linear transformation of the observed k-dimensional variables in such a way that the new variables are vectors of k mutually orthogonal (uncorrelated) components – the principal components – ranked ...
Hallin, Marc, Hörmann, Siegfried
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A Principal Looks at the Assistant Principal

NASSP Bulletin, 1973
The duties of assistant principal for pupil personnel services and the assistant principal for staff organization and business management are herein discussed in rich detail.
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Principal points, principal curves and principal surfaces

2015
The idea of approximating a distribution is a prominent problem in statistics. This dissertation explores the theory of principal points and principal curves as approximation methods to a distribution. Principal points of a distribution have been initially introduced by Flury (1990) who tackled the problem of optimal grouping in multivariate data.
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Principal Stratification

2014
Long entry in "Encyclopedia of Quality of Life and Well-Being Research"
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Privatization and Principal-Principal Conflicts in Transition Economies

2015
Although shareholder rights are essential for effective privatization processes, along with other formal institutions they are also weak in transition economies offering a new window to understand the new agency problems centered on principal-principal conflicts.
Mutlu, C., Peng, Mike, van Essen, M.
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Principal Preparation

2015
This chapter reports quantitative and qualitative survey data from Turkey as part of a larger International Study of Principal Preparation (ISPP) that examines the utility of principal preparation programs for novice principals in 13 contexts to find out what lessons can be learnt from each context.
Beycioglu, Kadir, Wildy, Helen
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Principal components or principal axes

1999
The expression principal components first appeared in the writings of the American statistician Harold Hotelling in 1933, but the technique was known earlier as principal axes and goes back to Karl Pearson (1901). In principle, principal components are appropriate for the analysis of variation within a sample coming from a single statistical population
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