## 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.

#### Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.