Sentences with GROUPOID
Check out our example sentences below to help you understand the context.Sentences
1
"The groupoid algebraic structure has become increasingly important in the field of mathematics."
2
"The groupoid property allows for a more flexible approach to certain mathematical problems."
3
"We can classify the system as a groupoid structure rather than a traditional group."
4
"The groupoid framework provides a more comprehensive understanding of the data."
5
"The groupoid nature of the system allows for non-trivial self-interactions."
6
"Using groupoid techniques, we can better analyze the interactions between various components."
7
"The groupoid framework enables us to capture the dynamics of multilateral relationships."
8
"The groupoid approach allows for a more nuanced understanding of social phenomena."
9
"A groupoid perspective can reveal hidden patterns within large datasets."
1
"A groupoid is a set equipped with a binary operation."
2
"The category of groupoids is an important concept in category theory."
3
"Each object in a groupoid is isomorphic to itself."
4
"In mathematics, a groupoid is a generalization of a group."
5
"A topological groupoid is a groupoid that is also a topological space."
6
"The fundamental groupoid is a construction in algebraic topology."
7
"A groupoid is defined by a binary operation that is only partially defined."
8
"The concept of a groupoid was introduced by the mathematician Charles Ehresmann."
9
"A groupoid can be thought of as a set with a multiplication table."
10
"The groupoid of a manifold is a fundamental object in differential geometry."
11
"Some groupoids have a commutative binary operation."
12
"In group theory, a groupoid is a set with a partial binary operation."
13
"The theory of groupoids goes beyond the theory of groups."
14
"The study of groupoids provides powerful tools for understanding mathematical structures."
15
"The composition of morphisms in a groupoid need not be associative."
1
"A groupoid is a generalization of a group."
2
"In mathematics, the concept of a groupoid is often applied in algebraic topology."
3
"The study of groupoids has contributed to our understanding of symmetries in various mathematical structures."
4
"A transformation groupoid is a groupoid that encodes symmetries of a given object."
5
"The category of groupoids provides a framework for studying groupoid structures across different mathematical fields."
6
"A fundamental groupoid is a groupoid associated with a given topological space."
7
"Certain groupoids can be used to classify different types of symmetries in mathematical objects."
8
"The concept of a groupoid was introduced by the mathematician Heinrich Brandt in 1926."
