An alternative term for transversal is system of distinct representatives

In the 1940s Richard Rado developed further theory under the name " independence systems " with an eye towards transversal theory, where his name for the subject is still sometimes used.

Since this technology easily fits into the fast evolving fiber laser field and there is demand for transversal coherent high-intensity light sources ( i. e., broadband telecommunication, imaging applications ), Raman amplification and spectrum generation might be widely used in the near-future.

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.

Given a direct product of groups, then H is a transversal for the cosets of K.

* Hall's marriage theorem gives necessary and sufficient conditions for a finite collection of not necessarily distinct, but non-empty sets to have a transversal.

* The Piazza S. Giovanni, mentioned in documents as far back as the 12th c. Its plan, one nave only with four transversal arches supporting the pitched roof, was taken as a model for other Gubbio churches later on.

Hall's theorem states that S has a transversal ( SDR ) if and only if S satisfies the marriage condition.

Let γ be a periodic orbit through a point p and S be a local differentiable and transversal section of φ through p, called Poincaré section through p.

Structural stability of C < sup > 1 </ sup > vector fields on the unit disk D that are transversal to the boundary and on the two-sphere S < sup > 2 </ sup > has been determined in the foundational paper of Andronov and Pontryagin.

Underlying this vision is a new conception of justice, coined accommodative justice by Hosseini, a new approach towards cosmopolitanism ( transversal cosmopolitanism ), a new mode of activist knowledge ( accommodative consciousness ), and a new format of solidarity, interactive solidarity.

* is transversal to in any point of.

A transversal research operation is specifically dedicated to the development of Nanocharacterization tools and techniques.

A transversal ( or " hitting set ") of a hypergraph H = ( X, E ) is a set that has nonempty intersection with every edge.

A transversal T is called minimal if no proper subset of T is a transversal.

The transversal hypergraph of H is the hypergraph ( X, F ) whose edge set F consists of all minimal transversals of H.

Odd cycle transversal is an NP-complete algorithmic problem that asks, given a graph and a number, whether there exists a set of vertices whose removal from would cause the resulting graph to be bipartite ..

The name odd cycle transversal comes from the fact that a graph is bipartite if and only if it has no odd cycles.

There is also a ligament called semicirculare humeri which is a transversal band between the posterior sides of the tuberculum minus and majus of the humerus.

This is called a local transversal section of the foliation.

( Actually one uses an effective sonic velocity, i. e. the Debye temperature ( see below ) is proportional to, more precisely, where one distinguishes longitudinal and transversal sound-wave velocities ( contributions 1 / 3 and 2 / 3, respectively ).

In the middle of them there is an eight storey atrium whose walls are white and wave-shaped, with a couple of transversal corridors that link both sides, and balconies in every store.

In certain professional motorsport classifications, such as the Grand Touring categories promoted by the FIA, the GT car is defined as " an open or closed automobile which has no more than one door on each side and a minimum of two seats situated one on each side of the longitudinal centre line of the car ; these two seats must be crossed by the same transversal plane.

A third example is the SAAB XWD ( Haldex Generation 4 ) with eLSD, it uses a common ( electronically controlled via the vehicle computer network ) hydraulic power pack to control both the longitudinal and transversal torque transfer of the XWD system.

Usually the superstructure is towards the stern, the fish hold amidships, and the transversal trawl winch forward of the superstructure.

In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower dimensional subspace, called the Poincaré section, transversal to the flow of the system.

We make the definition that given ∈, is the chosen representative in the transversal of the coset, that is,

Hence, to delete vertices from a graph in order to obtain a bipartite graph, one needs to " hit all odd cycle ", or find a so-called odd cycle transversal set.

In combinatorial mathematics, given a collection C of sets, a transversal 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 ).

A partial transversal is a set containing at most one element from each member of the collection, or ( in the stricter form of the concept ) a set with an injection from the set to C.

A generalization of the concept of a transversal would be a set that just has a non-empty intersection with each member of C. An example of this would be a Bernstein set, which is defined as a set that has a non-empty intersection with each set of C, but contains no set of C, where C is the collection of all perfect sets of a topological Polish space.

In group theory, given a subgroup H of a group G, a right ( respectively left ) transversal is a set containing exactly one element from each right ( respectively left ) coset of H. In this case, the " sets " ( cosets ) are mutually disjoint.

The most intriguing aspect of the S & W Magnum chambered for the new Jet is that it can also fire standard

Add holes in top, forming `` S '' for salt and `` P '' for pepper.

As S varies from zero to T, the values of S for which Af and Af cross C will be denoted by Af and Af respectively.

In late 1854, Lincoln ran as a Whig for the U. S. Senate seat from Illinois.

After the state Republican party convention nominated him for the U. S. Senate in 1858, Lincoln delivered his House Divided Speech, drawing on: " A house divided against itself cannot stand.

The stage was then set for the campaign for statewide election of the Illinois legislature which would, in turn, select Lincoln or Douglas as its U. S. senator.

The world's smallest known vertebrate, Paedophryne amauensis, sitting on a Dime ( United States coin ) | U. S. dime, 17. 91mm, for scale

Eastern Tennessee was held for the Confederacy by two unimpressive brigadier generals appointed by Jefferson Davis, Felix Zollicoffer, a brave but untrained and inexperienced officer, and soon to be Maj. Gen. George B. Crittenden, a former U. S. Army officer with apparent alcohol problems.

Additionally, consider for instance the unit circle S, and the action on S by a group G consisting of all rational rotations.

Now it is easy to convince oneself that the set X could not possibly be measurable for any rotation-invariant countably additive finite measure on S. Hence one couldn't expect to find an algorithm to find a point in each orbit, without using the axiom of choice.

The 21st chapter was omitted from the editions published in the United States prior to 1986 .< ref > Burgess, Anthony ( 1986 ) A Clockwork Orange Resucked in < u > A Clockwork Orange </ u >, W. W. Norton & Company, New York .</ ref > In the introduction to the updated American text ( these newer editions include the missing 21st chapter ), Burgess explains that when he first brought the book to an American publisher, he was told that U. S. audiences would never go for the final chapter, in which Alex sees the error of his ways, decides he has lost all energy for and thrill from violence and resolves to turn his life around ( a slow-ripening but classic moment of metanoia — the moment at which one's protagonist realises that everything he thought he knew was wrong ).

Seaborg leaked the synthesis of the elements 95 and 96 on the U. S. radio show for children, the Quiz Kids, five days before the official presentation at an American Chemical Society meeting on 11 November 1945, when one of the listeners asked whether any new transuranium element beside plutonium and neptunium had been discovered during the war.

Leslie S. Hiscott directed the first two films, with Henry Edwards taking over for the third.

* Chlorhexidine baths, In a randomized controlled trial, nasal recolonization with S. aureus occurred at 12 weeks in 24 % of nursing home residents receiving mupirocin ointment alone ( 6 / 25 ) and in 15 % of residents receiving mupirocin ointment plus chlorhexidine baths daily for the first three days of mupirocin treatment ( 4 / 27 ).

There is a movement to petition the postmaster general to issue a U. S. postage stamp for him in 2011, commemorating the 150th anniversary of Fort Sumter.

* The abbot of Sant ' Anselmo di Aventino, in Rome, is styled the " abbot primate ," and is acknowledged the senior abbot for the Order of St. Benedict ( O. S. B.

These states are labeled by a set of quantum numbers summarized in the term symbol and usually associated with particular electron configurations, i. e., by occupation schemes of atomic orbitals ( e. g., 1s < sup > 2 </ sup > 2s < sup > 2 </ sup > 2p < sup > 6 </ sup > for the ground state of neon -- term symbol: < sup > 1 </ sup > S < sub > 0 </ sub >).

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )