Long face?

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Last seen on: Wall Street Journal Crossword – June 24 2022 – Alternate Version

Random information on the term “Long face?”:

Long face syndrome, also referred to as skeletal open bite, is a relatively common condition characterised by excessive vertical facial development. Its causes may be either genetic or environmental. Long face syndrome is “a common dentofacial abnormality.”: 369  Its diagnosis, symptomology and treatments are complex and controversial. Indeed, even its existence as a “syndrome” is disputed.

One dental textbook defines it as: “Dolicofacial, there is excess of lower facial height usually associated with lower occlusal and mandibular plane angles.” This is often associated “with vertical maxillary excess and mandibular hypoplasia.” Luc P. M. Tourne, a Fellow in the Department of TMJ and Craniofacial Pain at the University of Minnesota School of Dentistry, noted: “There is a clinically recognizable facial morphology, the long face syndrome, which has been incompletely described in the literature,” However, her study of 31 adults with this syndrome, which included “analysis of esthetics, skeletal morphology, and occlusion” confirmed “this basic dentofacial deformity” has associations ” with excessive vertical growth of the maxilla.” She reported that “closed bite” and “dental open” are two of the syndrome’s variants.[A]

Long face? on Wikipedia

Random information on the term “undefined”:

In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the propensity of assuming different values). The term can take on several different meanings depending on the context. For example:

In ancient times, geometers attempted to define every term. For example, Euclid defined a point as “that which has no part”. In modern times, mathematicians recognize that attempting to define every word inevitably leads to circular definitions, and therefore leave some terms (such as “point”) undefined (see primitive notion for more).

This more abstract approach allows for fruitful generalizations. In topology, a topological space may be defined as a set of points endowed with certain properties, but in the general setting, the nature of these “points” is left entirely undefined. Likewise, in category theory, a category consists of “objects” and “arrows”, which are again primitive, undefined terms. This allows such abstract mathematical theories to be applied to very diverse concrete situations.

undefined on Wikipedia