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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
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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?
Identifying Vector Representations in Data
Component-wise Notation for a Vector