The solution of the problem is a special case of a Steiner system, which systems play an important role in the classification of finite simple groups.

5 ) A radically reformed educational system, based on the MBTI personality types, and insights from radical innovators like Rudolf Steiner and Maria Montessori.

The Fano plane is an S ( 2, 3, 7 ) Steiner triple system.

In combinatorial mathematics, a Steiner system ( named after Jakob Steiner ) is a type of block design, specifically a t-design with λ = 1 and t ≥ 2.

An S ( 2, 3, n ) was ( and still is ) called a Steiner triple system, while an S ( 3, 4, n ) was called a Steiner quadruple system, and so on.

An S ( 2, 3, n ) is called a Steiner triple system, and its blocks are called triples.

It is common to see the abbreviation STS ( n ) for a Steiner triple system of order n.

We can define a multiplication on the set S using the Steiner triple system by setting aa

After the break-up of Led Zeppelin in 1980 ( following the death of John Bonham ), Plant briefly considered abandoning music to pursue a career as a teacher in the Rudolph Steiner education system ; going so far as to be accepted for teacher-training.

He was raised in the Waldorf Education system as formulated by Rudolf Steiner, and educated at the Oslo katedralskole and the University of Oslo.

The sets of 6 form an S ( 3, 6, 22 ) Steiner system, whose symmetry group is M < sub > 22 </ sub >.

The Golay code words of weight eight are elements of the S ( 5, 8, 24 ) Steiner system.

An easier way to write down the Steiner system resp.

The Leech lattice is closely related to the equally nice length-24 binary Golay code and the Steiner system S ( 5, 8, 24 ) and the Mathieu group M < sub > 24 </ sub >.

The Fano plane, as a block design, is a Steiner triple system.

Nerdrum began his formal education in 1951 in Oslo, in a private Rudolf Steiner school rather than in the standard, public school system.

( The latter representation arises because the M < sub > 22 </ sub > Steiner system has 77 blocks.

* Jakob Steiner investigates the Steiner system.

* Steiner system

From 1900 on, thanks to the positive reception given to his ideas, Steiner focused increasingly on his work with the Theosophical Society becoming the secretary of its section in Germany in 1902.

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.

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 ".

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.

In Theosophy, Steiner suggested that human beings unite a physical body of a nature common to ( and that ultimately returns to ) the inorganic world ; a life body ( also called the etheric body ), in common with all living creatures ( including plants ); a bearer of sentience or consciousness ( also called the astral body ), in common with all animals ; and the ego, which anchors the faculty of self-awareness unique to human beings.

This is a pedagogical movement with over 1000 Steiner or Waldorf schools ( the latter name stems from the first such school, founded in Stuttgart in 1919 ) located in some 60 countries ; the great majority of these are independent ( private ) schools.

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 Rudolf Steiner studied natural science at the Vienna Technical University at the undergraduate level, his doctorate was in epistemology and very little of his work is directly concerned with the empirical sciences.

Eurythmy, developed by Rudolf Steiner and Marie Steiner-von Sivers, combines formal elements reminiscent of traditional dance with the new freer style, and introduced a complex new vocabulary to dance.

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.

In 1939, Steiner was borrowed from Warner Bros. by David O Selznick to compose the score to Gone with the Wind.

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 1954, RCA Victor asked Steiner to prepare and conduct an orchestral suite of music from Gone with the Wind for a special LP, which was later issued on CD .< ref >

In his book review, George Steiner compared Pirsig's writing to Dostoevsky, Broch, Proust, and Bergson, stating that " the assertion itself is valid ... the analogies with Moby-Dick are patent ".

In 1891, Steiner earned a doctorate in philosophy at the University of Rostock in Germany with a thesis based upon Fichte's concept of the ego, later published in expanded form as Truth and Knowledge.

Steiner remained with the archive until 1896.

Many subscribers were alienated by Steiner's unpopular support of Émile Zola in the Dreyfus Affair and the journal lost more subscribers when Steiner published extracts from his correspondence with anarchist John Henry Mackay.

It was also within this society that Steiner met and worked with Marie von Sivers, who became his second wife in 1914.

During this period, Steiner maintained an original approach, replacing Madame Blavatsky's terminology with his own, and basing his spiritual research and teachings upon the Western esoteric and philosophical tradition.

Beginning in 1919, Steiner was called upon to assist with numerous practical activities ( see below ), including the first Waldorf school, founded that year in Stuttgart, Germany.

Together with Marie Steiner-von Sivers, Rudolf Steiner developed the art of eurythmy, sometimes referred to as " visible speech and visible song ".