Crossword clues for transversal
transversal
The Collaborative International Dictionary
Transversal \Trans*ver"sal\, a. [Cf. F. transversal. See Transverse.] Running or lying across; transverse; as, a transversal line. -- Trans*ver"sal*ly, adv.
Transversal \Trans*ver"sal\, n. [Cf. F. transversale.] (Geom.) A straight line which traverses or intersects any system of other lines, as a line intersecting the three sides of a triangle or the sides produced.
Douglas Harper's Etymology Dictionary
"running or lying across," mid-15c., from Medieval Latin transversalis (13c.), from transvers-, stem of transvertere (see transverse). Earlier in the same sense was transversary (c.1400). As a noun, from 1590s. Related: Transversally.
Wiktionary
a. Running or lying across; transverse; as, a transversal line. n. 1 A line which traverses or intersects any system of other lines transversely. 2 (context mathematics English) A set containing one member from each of a collection of disjoint sets.
WordNet
adj. extending or lying across; in a crosswise direction; at right angles to the long axis; "cross members should be all steel"; "from the transverse hall the stairway ascends gracefully"; "transversal vibrations"; "transverse colon" [syn: cross(a), transverse, thwartwise]
Wikipedia
In mathematics, given a collection C of sets, a transversal (also called a cross-section) is a set containing exactly one element from each member of the collection. When the sets of the collection are mutually disjoint, each element of the transversal corresponds to exactly one member of C (the set it is a member of). If the original sets are not disjoint, there are two possibilities for the definition of a transversal. One variation, the one that mimics the situation when the sets are mutually disjoint, is that there is a bijection f from the transversal to C such that x is an element of f(x) for each x in the transversal. In this case, the transversal is also called a system of distinct representatives. The other, less commonly used, possibility does not require a one-to-one relation between the elements of the transversal and the sets of C. Loosely speaking, in this situation the members of the system of representatives are not necessarily distinct.
Transversal may refer to:
- Transversal (combinatorics), a set containing exactly one member of each of several other sets
- Transversal (geometry), a line that intersects two or more lines at different points
- Transversal (instrument making), a technique for subdividing graduations
- Transversal Corporation, a software company
- Transversal, relating to the transverse plane in anatomy
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel. The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, corresponding angles, and alternate angles. By Euclid's parallel postulate, if the two lines are parallel, consecutive interior angles are supplementary, corresponding angles are equal, and alternate angles are equal.
Transversals are a geometric construction on a scientific instrument to allow a graduation to be read to a finer degree of accuracy. Transversals have been replaced in modern times by vernier scales.
Usage examples of "transversal".
They tell us that a regime of transversal linguistic relations of production has entered into the unified and abstract universe of value.
The new transversal mobility of disciplined labor power is significant because it indicates a real and powerful search for freedom and the formation of new, nomadic desires that cannot be contained and controlled within the disciplinary regime.
This is how the multitude gains the power to affirm its autonomy, traveling and expressing itself through an apparatus of widespread, transversal territorial reappropriation.