Note on the first order orthogonal projections
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Applicationes Mathematicae
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A. Olejniczak (1987)
Applicationes Mathematicae
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Henry Taber (1893/94)
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We show that the solution to the orthogonal additivity problem in real inner product spaces depends continuously on the given function and provide an application of this fact.
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We improve a result of Erb, concerning an uncertainty principle for orthogonal polynomials. The proof uses numerical range and a decomposition of some multiplication operators as a difference of orthogonal projections.
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Radosław Kala (2008)
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It is shown that commutativity of two oblique projectors is equivalent with their product idempotency if both projectors are not necessarily Hermitian but orthogonal with respect to the same inner product.
Mrinal Kanti Das (1975)
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Understanding, mastering and applying new ideas in geography didactics is the most proper way to achieve a high professionalism in geography education in Bulgaria. Such professionalism implies three prerequisites: a scientifically based (and not only intuitive) professional activity, high and sustainable results and a clear positive attitude towards it. The high professionalism is the required basis for successful solving the current problems of Bulgarian geography education which are...
Yoshinov, Radoslav, Kotseva, Monka (2015)
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The Inspiring Science Education project is all about elaborating a learning environment using an inquiry based learning (IBL) approach. The Inspiring Science Education portal as a main part of the environment is the place where a registered user can find (create) eLearning Tools and digital educational resources, which can be used in class and as a place to connect with like-minded teachers and schools around Europe to share experiences and collaborate on projects. On the other hand,...
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This contribution proposes software infrastructure to support new types of learning methodologies and resources based on collaborative knowledge engineering by means of an innovative application framework called the virtualized collaborative sessions framework (VCSF). The VCSF helps meet challenging collaborative knowledge engineering requirements in online learning, such as increasing group members' learning performance during the on-line collaborative learning process. In turn, systematic...
Jelica Protić, Dejan Ristanović (2011)
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The proliferation of course management systems (CMS) in the last decade stimulated educators in establishing novel active e-learning practices. Only a few of these practices, however, have been systematically described and published as pedagogic patterns. The lack of formal patterns is an obstacle to the systematic reuse of beneficial active e-learning experiences. This paper aims to partially fill the void by offering a collection of active e-learning patterns that are derived from...