Dehn Function - Formal Definition

Formal Definition

Let

be a finite group presentation where the X is a finite alphabet and where R ⊆ F(X) is a finite set of cyclically reduced words.

Read more about this topic:  Dehn Function

Famous quotes containing the words formal and/or definition:

    “I will not let him stir
    Till I have used the approvèd means I have,
    With wholesome syrups, drugs, and holy prayers,
    To make of him a formal man again.”
    —William Shakespeare (1564–1616)

    “According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animals—just as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
    —Ana Castillo (b. 1953)