## Developer Guide and Reference

• 2021.6
• 04/11/2022
• Public Content
Contents

# Mathematical Notations

Notation
Definition or The number of observations in a tabular dataset. Typically is used, but sometimes is required to distinguish two datasets, e.g., the training set and the inference set. or The number of features in a tabular dataset. Typically is used, but sometimes is required to distinguish two datasets. The dimensionality of a matrix (dataset) has rows (observations) and columns (features). The vertex set in a graph. The edge set in a graph. , or The vertex in a graph. The edge in a graph. Depending on the context may be interpreted as follows:
• If is a set, this denotes its cardinality, i.e., the number of elements in the set .
• If is a real number, this denotes the absolute value of . The -norm of a vector ,  Sign function for ,  In the description of an algorithm, this typically denotes the -th feature vector in the training set. In the description of an algorithm, this typically denotes the -th feature vector in the inference set. In the description of an algorithm, this typically denotes the -th response in the training set. In the description of an algorithm, this typically denotes the -th response that needs to be predicted by the inference algorithm given the feature vector from the inference set.

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