- #1
pellman
- 684
- 5
$$
A \oplus B
$$
where A and B are sets
A \oplus B
$$
where A and B are sets
Actually, yes, in the context it was used the sets in question are subspaces of a vector space.HallsofIvy said:That is not a standard notation for sets. It can mean a direct sum for sets with sum kind of "sum" defined, such as vector spaces. Is that what you mean?
pellman said:Actually, yes, in the context it was used the sets in question are subspaces of a vector space.
The context is page 137 here http://perso.crans.org/lecomtev/articles/Brian_Hall_Quantum_Theory_for_Mathematicians_2013.pdf
PeroK said:
The notation A ∈ B means that A is an element of the set B. This means that A is one of the objects or values included in the set B.
The notation A ∈ B means that A is an element of the set B, while A ⊆ B means that A is a subset of the set B. This means that A is a part of the set B, and may include other elements in addition to those explicitly listed.
The notation A ∩ B represents the intersection of the sets A and B. This means that the resulting set will contain only the elements that are common to both A and B.
The notation A ∪ B represents the union of the sets A and B. This means that the resulting set will contain all elements that are in either A or B, or both.
The notation A ⊃ B means that A is a superset of B. This means that A contains all the elements of B, as well as potentially additional elements.