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Incontrast,representation learning approaches treat this problem as machine learning task itself, using a data-driven approach to learn embeddings that encode graph structure. Here we provide an overview of recent advancements in representation learning on graphs, reviewing tech-niques for representing both nodes and entire subgraphs.

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Physics (lecture: 7 credits, laboratory: 0 credits) Mechanics (2 credits) Thermodynamics (1 credit) Electromagnetism (2 credits) Light and Optics (1 credit) Modern Physics (1 credit) Literatures: R.A. Serway, J.S. Faughn, College Physics,Fifth Edition, Saunders College Publishing, 2000

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the extent of the use of vector notation in AP Physics 1: Quantities such as angular acceleration, velocity, and momentum are deined as vector quantities, but in this course the determination of “direction” is limited to clockwise and counterclockwise with respect to a given axis of rotation. Instructional Time and Strategies

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The orbital angular momentum for an atomic electron can be visualized in terms of a vector model where the angular momentum vector is seen as precessing about a direction in space. While the angular momentum vector has the magnitude shown, only a maximum of l units can be measured along a given direction, where l is the orbital quantum number . Each of the four vector representations is an isomorphism, so the inverse linear transformation could be depicted with an arrow pointing in the other direction. The four vector spaces across the bottom are familiar from the earliest days of the course, while the four vector spaces across the top are completely abstract.

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Most word vector methods rely on the distance or angle between pairs of word vectors as the pri-mary method for evaluating the intrinsic quality of such a set of word representations. Recently, Mikolov et al. (2013c) introduced a new evalua-tion scheme based on word analogies that probes the finer structure of the word vector space by ex-

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In this chapter we introduce a new kind of vector (‘covector’), one that will be es-sential for the rest of this booklet. To get used to this new concept we will first show in an intuitive way how one can imagine this new kind of vector. After that we will follow a more mathematical approach. 2.1. Intuitive approach

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