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Vectors

March 6, 2019 Max Bartolo

2 minute read

A vector is an array of scalar numbers. We can identify each individual number by its index in that ordering. Typically, we give vectors lowercase names in bold typeface, such as $\mathbf{x}$.

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    • Basic Math
    • Linear Algebra
    • linear algebra
    • scalars
    • vectors
    • matrices
    • tensors
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Matrices

March 6, 2019 Max Bartolo

3 minute read

A matrix is a $2$-dimensional (2D) array of numbers. This means that every element in the matrix is identified by two indices, commonly $i$ representing the row-index and $j$ representing the column-index.

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Tensors

March 6, 2019 Max Bartolo

2 minute read

In the context of Machine Learning, it is convenient to think of a tensor as an $n$-dimensional array. Tensor dimensionality is also commonly referred to as its order, degree or rank, which formally is the sum of the tensor contravariant and covariant indices.

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Max Bartolo

Max Bartolo

AI Research Scientist at Cohere working on Large Language Models

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