Pronunciation: [kˈe͡ɪlɪ] (IPA) 
The word "Cayley" is spelled with six letters, starting with the letter C and followed by A, Y, L, E, and Y. The pronunciation of this name is /ˈkeɪli/, with stress on the first syllable. The first two letters "C" and "A" are pronounced as "K" and "A" respectively. The "Y" in the middle is pronounced as a consonant "j" sound. Finally, the word ends with two letter "Y's", which has a long "e" sound - /iː/.
Cayley can refer to various definitions depending on the context. One common definition is related to mathematics, particularly in the field of algebra. In this context, Cayley is a term associated with the British mathematician Arthur Cayley. He made significant contributions to the development of algebra and is considered one of the pioneers of modern algebraic notation. Cayley is well-known for his work on matrices, group theory, and the theory of invariants. His research laid the foundation for many important concepts in algebra and his notational methods are still widely used today.
Additionally, Cayley can also be used in the context of graph theory. A Cayley graph, named after Arthur Cayley, is a particular type of graph that is constructed using a finite group. In this construction, the elements of the group represent the vertices of the graph, and edges are added between vertices based on the group's multiplication operation. Cayley graphs find applications in various fields, including computer science, cryptography, and network analysis.
In another sense, Cayley can also refer to a geographical location. Specifically, the term Cayley can be associated with the name of a town or village. However, without additional context, it is not possible to provide a specific definition for a Cayley in terms of a geographical location, as it could refer to different places worldwide.
The name "Cayley" is of English origin and is derived from a place name. It comes from the Old English term "Cēg" which means "key" and "lēah" which means "woodland" or "clearing". Therefore, "Cayley" can be interpreted to mean "woodland or clearing with a key".
