## Developer Guide and Reference

• 2021.4
• 09/27/2021
• Public Content
Contents

# Mathematical Notations

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

#### Product and Performance Information

1

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