* Steiner tree

* Steiner tree problem in graphs

* Quasi-bipartite graph, a type of Steiner tree problem instance in which the terminals form an independent set, allowing approximation algorithms that generalize those for bipartite graphs

For the Steiner tree problem, 31 is the number of possible Steiner topologies for Steiner trees with 4 terminals.

The Steiner tree problem, or the minimum Steiner tree problem, named after Jakob Steiner, is a problem in combinatorial optimization, which may be formulated in a number of settings, with the common part being that it is required to find the shortest interconnect for a given set of objects.

The Steiner tree problem is superficially similar to the minimum spanning tree problem: given a set V of points ( vertices ), interconnect them by a network ( graph ) of shortest length, where the length is the sum of the lengths of all edges.

The difference between the Steiner tree problem and the minimum spanning tree problem is that, in the Steiner tree problem, extra intermediate vertices and edges may be added to the graph in order to reduce the length of the spanning tree.

It has been proved that the resulting connection is a tree, known as the Steiner tree.

In 1923, faced with differences between older members focusing on inner development and younger members eager to become active in the social transformations of the time, Steiner refounded the Society in an inclusive manner and established a School for Spiritual Science.

As a spiritual basis for the refounded movement, Steiner wrote a Foundation Stone Meditation which remains a central meditative expression of anthroposophical ideas.

Steiner began using the word to refer to his philosophy in the early 1900s as an alternative to theosophy, the term for Madame Blavatsky's movement, itself from the Greek, with a longer history with a meaning of " divine wisdom ".

This requires developing new faculties of objective spiritual perception, which Steiner maintained was possible for humanity today.

Steiner believed results of this form of spiritual research should be expressed in a way that can be understood and evaluated on the same basis as the results of natural science: " The anthroposophical schooling of thinking leads to the development of a non-sensory, or so-called supersensory consciousness, whereby the spiritual researcher brings the experiences of this realm into ideas, concepts, and expressive language in a form which people can understand who do not yet have the capacity to achieve the supersensory experiences necessary for individual research.

" For Steiner, the human capacity for rational thought would allow individuals to comprehend spiritual research on their own and bypass the danger of dependency on an authority.

Steiner contrasted the anthroposophical approach with both conventional mysticism, which he considered lacking the clarity necessary for exact knowledge, and natural science, which he considered arbitrarily limited to investigating the outer world.

Rudolf Steiner wrote and lectured on Judaism and Jewish issues for much of his life.

Towards the end of Steiner's life, a group of theology students ( primarily Lutheran, with some Roman Catholic members ) approached Steiner for help in reviving Christianity, in particular " to bridge the widening gulf between modern science and the world of spirit.

Though Steiner saw that spiritual vision itself is difficult for others to achieve, he recommended open-mindedly exploring and rationally testing the results of such research ; he also urged others to follow a spiritual training that would allow them directly to apply the methods he used eventually to achieve comparable results.

The early personages most cited for propounding composting within farming are for the German-speaking world Rudolf Steiner, founder of a farming method called biodynamics, and Annie Francé-Harrar, who was appointed on behalf of the government in Mexico and supported the country 1950 – 1958 to set up a large humus organization in the fight against erosion and soil degradation.

In the 20th century, Theosophy was further developed by Annie Besant and Charles Webster Leadbeater, while people like Alice Bailey, Rudolf Steiner and many others, became the source for a whole range of post-theosophical movements such as The Summit Lighthouse.

Left-libertarianism, as defended by contemporary theorists such as Peter Vallentyne, Hillel Steiner, and Michael Otsuka, is a doctrine that has a strong commitment to personal liberty and has an egalitarian view concerning natural resources, believing that it is illegitimate for anyone to claim private ownership of resources to the detriment of others.

Maximilian Raoul " Max " Steiner ( May 10, 1888 – December 28, 1971 ) was an Austrian composer of music for theatre productions and films.

Along with such composers as Franz Waxman, Erich Wolfgang Korngold, Alfred Newman and Miklós Rózsa, Steiner played a major part in creating the tradition of writing music for films.

His paternal grandfather was Maximilian Steiner ( 1830 – 1880 ), the influential manager of Vienna's Theater an der Wien ; his father was Gabor Steiner ( 1858 – 1944 ), Viennese impresario and carnival and exposition manager, responsible for the Ferris wheel in the Prater that would become the setting for a key scene of the film The Third Man ( 1949 ); his godfather was the composer Richard Strauss.

Steiner worked in New York for eleven years as a musical director, arranger, orchestrator, and conductor of Broadway operettas and musicals written by Victor Herbert, Jerome Kern, Vincent Youmans, and George Gershwin, among others.

In 1929, Steiner went to Hollywood to orchestrate the European film version of the Florenz Ziegfeld show Rio Rita for RKO.

Along with Clark Gable, Steiner was one of the few nominees for Gone with the Wind that did not win.

Steiner received his next Oscar nomination for the 1940 film The Letter, his first of several collaborations with legendary director William Wyler.

In 1942, Steiner won his second Oscar for Now, Voyager, and was also nominated for Casablanca, which remains one of his most famous scores.

* Steiner differentiated three contemporary paths by which he believed it possible to arrive at Christ:

Steiner immediately began work designing a second Goetheanum building – this time made of concrete instead of wood – which was completed in 1928, three years after his death.

Steiner argued that a fusion of the three realms had created the inflexibility that had led to catastrophes such as World War I.

Steiner articulated three stages of any creative deed:

Rudolf Steiner postulated that intuition is the third of three stages of higher knowledge, coming after imagination and inspiration, and is characterized by a state of immediate and complete experience of, or even union with, the object of knowledge without loss of the subject's individual ego.

Bernstein, Bernard Herrmann, Max Steiner, and Jerry Goldsmith are the only composers to have two scores listed, and are therefore in second place for the most scores on the list, behind John Williams, who has three.

In the case of three non-collinear points in the plane, the triangle with these points as its vertices has a unique Steiner inellipse that is tangent to the triangle's sides at their midpoints.

He defeated Herman Steiner by 5. 5-4. 5 at New York 1932 ; this was the first of three matches the two players would contest.

He won the 1940 U. S. Open at Dallas with a perfect 8 / 8 in the finals, three points ahead of Herman Steiner.

His main American rivals were Samuel Reshevsky (+ 3 = 12-4 ); Herman Steiner (+ 21 = 8-4 ); Isaac Kashdan (+ 6 = 6-1 ); Albert Simonson (+ 6 = 1-1 ); Al Horowitz (+ 10 = 7-2 ); Arnold Denker (+ 7 = 7-6 ); Fred Reinfeld (+ 10 = 7-5 ); and Arthur Dake ( a shocking + 7 = 5-7, but three losses as a 16-year-old against Dake in his 20s ).

Kenner Products was a toy company founded in 1947 by three brothers, Albert, Phillip, and Joseph L. Steiner, in Cincinnati, Ohio, United States, and was named after the street where the original corporate offices were located, which is just north of Cincinnati's Union Terminal.

For the Euclidean Steiner problem, points added to the graph ( Steiner points ) must have a degree of three, and the three edges incident to such a point must form three 120 degree angles.

His reunion with the intellectual Steiner ( Alain Cuny ); their relationship is divided into three sequences spread over the entire film: a ) the encounter, b ) Steiner's party, and c ) Steiner's tragedy

Along with composers Max Steiner and Dimitri Tiomkin, Newman is considered one of the " three godfathers of film music ," and played a major part in creating the tradition of composing original music for films.

Before the new championship was unveiled, Team 3D successfully defended their champion status at TNA's May pay-per-view Sacrifice in a standard tag team match involving three teams known as a 3-Way Dance, which also including the teams of Tomko ( Travis Tomko ) and Scott Steiner ( Scott Rechsteiner ) and LAX.

At Hard Justice and Bound for Glory, Team 3D lost to the Steiner Brothers, the latter defeat coming in a two out of three tables match after Chris Sabin and Alex Shelley, the Motor City Machineguns, interfered on the Steiners ' behalf.

Nash covered an unconscious Steiner and Patrick quickly counted to three, awarding the contest to Nash.

Jacques returned to the WWF in July 1993 and went on to hold the WWF World Tag Team Championship on three occasions as part of The Quebecers tag team with Pierre, feuding with The Steiner Brothers, Men on a Mission, The Headshrinkers, and Marty Jannetty and The 1-2-3 Kid.

The pascal lines also pass, three at a time, through 20 Steiner points.