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A lattice is a mathematical object consisting of partially ordered sets, where each pair of elements has a unique least upper bound or supremum [50].
An undirected network <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0013580.e007.PNG" class= inline-graphic"/> is a mathematical object consisting of a set of nodes and a set of unordered pairs of nodes called undirected edges.
A network or a graph is a mathematical object consisting of a set V of vertices, and a set E of edges connecting vertices.
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All tracks are based on a representation of elements as mathematical objects, consisting of points, segments, functions and variants of these [see Gundersen et al. (2011) for an in-depth discussion].
A group of symmetry transformations is a mathematical object which consists of the set of transformations, including the identity transformation and the inverse of each transformation, and the operation of composing them, where the result of two composed transformations is itself in the original set.
The algorithm considers agents as objects consisting of different masses.
This is a mathematical structure consisting of objects, and for any pair of objects, a set of morphisms between them.
Now, so far, only one kind of mathematical object has been discussed, namely, numbers.
Every mathematical object may be viewed as a set.
These mental acts form a mathematical object called a group.
Hence, Aristotle will sometimes call the material object, the mathematical object by adding on.
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