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Identifying Vector Representations in Data
Analyze the two data structures described in the case study below. Which one can be directly represented as a mathematical vector? Justify your answer by explaining the key properties that a data structure must have to be considered a vector.
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Data Science
Foundations of Large Language Models Course
Computing Sciences
Analysis in Bloom's Taxonomy
Cognitive Psychology
Psychology
Social Science
Empirical Science
Science
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A data scientist is creating a simple computer model to represent different fruits. The model must represent each fruit using three numerical features, always in this specific order: (1) average weight in grams, (2) sugar content in grams, and (3) water content in grams. How would this model represent an apple that has an average weight of 150g, a sugar content of 19g, and a water content of 129g?
A computer program needs to store the coordinates of a point in a 3-dimensional space. The coordinates are an x-value, a y-value, and a z-value, and their order is crucial (x, then y, then z). Which of the following mathematical structures is the most appropriate and direct way to represent these coordinates?
Component-wise Notation for a Vector