A metric q will have a form of this property if there exists some constant b such that for all pair of points c and d, the metric of "q of c d" is less than "b times q of c d"; that is the Lifshitz form of this property.
A metric q will have a form of this property if there exists some constant b such that for all pair of points c and d, the metric of "q of c d" is less than "b times q of c d"; that is the Lifshitz form of this property. A function with this property within a closed and bounded interval will attain a minimum and maximum at least once by the extreme value theorem. Though every (*) differentiable function has this property, the converse does not hold - as exemplified by the Weierstrass function being not differentiable, despite having this. Both the Heaviside step and the absolute value functions only have the "piecewise" form of this property since there are "jumps" at the origin. For 10 points, name this property that allows one to draw a function without lifting.
A metric q will have a form of this property if there exists some constant b such that for all pair of points c and d, the metric of "q of c d" is less than "b times q of c d"; that is the Lifshitz form of this property.
continuity [or continuous; accept Lifshitz continuous or continuity or piecewise continuous or continuity]