In mathematics and applications, the signed distance function of a set Ω in a metric space, also called the oriented distance function, determines the distance of a given point x from the boundary of Ω, with the sign determined by whether x is in Ω. The function has positive values at points x inside Ω, it decreases in value as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω.
Read more about Signed Distance Function: Definition, Properties in Euclidean Space, See Also
Famous quotes containing the words signed, distance and/or function:
“Bernstein: “Girls delightful in Cuba stop. Could send you prose poems about scenery but don’t feel right spending your money stop. There is no war in Cuba. Signed Wheeler.” Any answer?
Charles Foster Kane: Yes—Dear Wheeler, You provide the prose poems, I’ll provide the war.”
—Orson Welles (1915–1985)
“We have been told over and over about the importance of bonding to our children. Rarely do we hear about the skill of letting go, or, as one parent said, “that we raise our children to leave us.” Early childhood, as our kids gain skills and eagerly want some distance from us, is a time to build a kind of adult-child balance which permits both of us room.”
—Joan Sheingold Ditzion (20th century)
“Literature does not exist in a vacuum. Writers as such have a definite social function exactly proportional to their ability as writers. This is their main use.”
—Ezra Pound (1885–1972)