Diversity

About Diversity

In mathematics, a diversity is a generalization of the concept of a metric space. The concept was introduced in 2012 by Bryant and Tupper,

Article

In mathematics, a diversity is a generalization of the concept of a metric space. The concept was introduced in 2012 by Bryant and Tupper,

who call diversities "a form of multi-way metric". The concept finds application in nonlinear analysis.

Given a set

{\displaystyle X}

, let

℘

fin

(

)

{\displaystyle \wp _{\mbox{fin}}(X)}

be the set of finite subsets of

{\displaystyle X}

A diversity is a pair

(

)

{\displaystyle (X,\delta )}

consisting of a set

{\displaystyle X}

and a function

Notable quotes

“A novel is balanced between a few true impressions and the multitude of false ones that make up most of what we call life. It tells us that for every human being there is a diversity of existences, that the single existence is itself an illusion in part, that these many existences signify something, tend to something, fulfill something; it promises us meaning, harmony, and even justice.”
— Saul Bellow, Nobel Prize lecture (12 December 1976)
“I do not claim any ability to read God's mind. I am sure of only one thing. When we look at the glory of stars and galaxies in the sky and the glory of forests and flowers in the living world around us, it is evident that God loves diversity. Perhaps the universe is constructed according to a principle of maximum diversity.”
— Freeman Dyson, Progress In Religion : A Talk By Freeman Dyson, acceptance speech for the Templeton Prize, Washington National Cathedral (9 May 2000)
“If we cannot end now our differences, at least we can make the world safe for diversity. For, in the final analysis, our most basic common link is that we all inhabit this small planet. We all breathe the same air. We all cherish our children's future. And we are all mortal.”
— John F. Kennedy, Address at American University, Washington D.C. (10 June 1963)
“Ultimately, America's answer to the intolerant man is diversity, the very diversity which our heritage of religious freedom has inspired.”
— Robert F. Kennedy, Extremism, Left and Right, pt. 3, "The Pursuit of Justice" (1964).
“The current ideology of religious harmony emphasizes similarity—different religions are harmonious because they say the same thing; The older doctrine of multiple paths lays stress on their diversity—these paths are valid because they serve genuine different needs and answer to different natures. In short, they serve humanity not by being the same but by being different.”
— Ram Swarup. Ramakrishna Mission. (1986). Ramakrishna Mission: In search of a new identity.
“"Diversity" has become an omnipresent emblem of openness and fairness. It is now an essential component of corporate responsibility: there is a widespread expectation for companies to show their commitment to "diversity", elements of a "diversity" policy and evidence (e.g., smiling pictures) of a diverse workforce in annual reports, websites, promotional and recruitment materials.”
— Steven Vertovec, "Diversity and the Social Imaginary" (2012)

Quotes via Wikiquote (CC BY-SA), each with its original source.

Diversity

Diversity

Article

Notable quotes

Notable quotes

Article

Diameter diversity

L1 diversity

Phylogenetic diversity

Steiner diversity

Truncated diversity

Clique diversity