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Frederick Franck

Frederick Franck Born (1909-04-12)12 April 1909 Maastricht, The Netherlands Died 5 June 2006(2006-06-05) (aged 97) Warwick, New York, United States Known for Sculpture, Painting, Drawing Frederick Sigfred Franck (April 12, 1909 in Maastricht, The Netherlands – June 5, 2006 in Warwick, New York, U.S.) was a painter, sculptor, and author of more than 30 books on Buddhism and other subjects who was known for his interest in human spirituality. He was a native of The Netherlands and became a United States citizen in 1945. He was a dental surgeon by trade, and worked with Dr. Albert Schweitzer in Africa from 1958-1961.[1] His sculptures are in the collections of the Museum of Modern Art, the Whitney Museum of American Art, the Fogg Art Museum, the Tokyo National Museum, and the Cathedral of St. John the Divine. His major creation, however, was a sculpture garden and park adjacent to his home in Warwick, New York, which he called Pacem in Terris, or “Peace on […]

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Pseudomathematics

For a broader coverage related to this topic, see Pseudo-scholarship. Pseudomathematics is a form of mathematics-like activity that does not work within the framework, definitions, rules, or rigor of formal mathematical models. While any given pseudomathematical approach may work within some of these boundaries, for instance, by accepting or invoking most known mathematical definitions that apply, pseudomathematics inevitably disregards or explicitly discards a well-established or proven mechanism, falling back upon any number of demonstrably non-mathematical principles. Contents 1 Types of pseudomathematics 2 Practitioners 3 See also 4 References 5 Further reading Types of pseudomathematics[edit] One common type of approach is attempting to solve classical problems in terms that have been proven mathematically impossible. Common examples the following constructions in Euclidean geometry using only compass and straightedge: Squaring the circle: Given any circle drawing a square having the same area. Doubling the cube: Given any cube drawing a cube with twice its volume. Trisecting the angle: Given any angle dividing it […]

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Nilpotent matrix

In linear algebra, a nilpotent matrix is a square matrix N such that N k = 0 {\displaystyle N^{k}=0\,} for some positive integer k. The smallest such k is sometimes called the degree or index of N.[1] More generally, a nilpotent transformation is a linear transformation L of a vector space such that Lk = 0 for some positive integer k (and thus, Lj = 0 for all j ≥ k).[2][3][4] Both of these concepts are special cases of a more general concept of nilpotence that applies to elements of rings. Contents 1 Examples 2 Characterization 3 Classification 4 Flag of subspaces 5 Additional properties 6 Generalizations 7 Notes 8 References 9 External links Examples[edit] The matrix M = [ 0 1 0 0 ] {\displaystyle M={\begin{bmatrix}0&1\\0&0\end{bmatrix}}} is nilpotent, since M2 = 0. More generally, any triangular matrix with 0s along the main diagonal is nilpotent, with degree ≤ n {\displaystyle \leq n} . For example, the matrix N = [ 0 2 1 6 0 […]

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