Betti (other)
Betti may refer to: People * Betti (given name) *Betti (surname) Other uses * Betti number in topology, named for Enrico Betti * Betti's theorem in engineering theory, named for Enrico Betti *Betti reaction, a chemical addition reaction See also *Beti (other) *Betty (other) Betty and Bettie are common diminutives for the feminine given names Elizabeth and Bethany. Betty and Bettie may also refer to: Places * Bettié Department, a department of the Ivory Coast ** Bettié, a town and commune in the Ivory Coast * Be ...

Betti (given Name)
Betti is a given name. Notable people with the name include: *Betti Alisjahbana (born 1960), Indonesian business executive *Betti Alver (1906–1989), Estonian poet *Betti-Sue Hertz, American art curator and art historian *Betti Sheldon (1935–2000), American politician See also *Bette (given name) *Betty Betty or Bettie is a name, a common diminutive for the names Bethany and Elizabeth. In Latin America, it is also a common diminutive for the given name Beatriz, the Spanish and Portuguese form of the Latin name Beatrix and the English name Beat ...

Betti (surname)
Betti is a surname. Notable people with the name include: *Biagio Betti (1535–1605), Italian painter *Emilio Betti (1890–1968), Italian jurist, philosopher and theologian *Enrico Betti (1823–1892), Italian mathematician *Freda Betti (1924–1979), French opera singer *Henri Betti (1917–2005), French composer and pianist *Laura Betti (1927–2004), Italian actress *Liliana Betti (1937–1998), Italian screenwriter and director *Luca Betti (born 1978), Italian rally driver * Natale Betti (1826–1888), Italian painter *Paulo Betti (born 1952), Brazilian stage, film and television actor *Priscilla Betti (born 1989), French singer and actress * Riccardo Betti (born 1963), professor of Mechanical Engineering, Physics and Astronomy at the University of Rochester * Sigismondo Betti (1699–1777), Italian painter *Ugo Betti (1892–1953), Italian judge and author *Umberto Betti (1922–2009), Italian Cardinal of the Roman Catholic Church See also *Betty (surname) *Betti (gi ...
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Betti Number
In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of ''n''-dimensional simplicial complexes. For the most reasonable finite-dimensional spaces (such as compact manifolds, finite simplicial complexes or CW complexes), the sequence of Betti numbers is 0 from some point onward (Betti numbers vanish above the dimension of a space), and they are all finite. The ''n''th Betti number represents the rank of the ''n''th homology group, denoted ''H''''n'', which tells us the maximum number of cuts that can be made before separating a surface into two pieces or 0-cycles, 1-cycles, etc. For example, if H_n(X) \cong 0 then b_n(X) = 0, if H_n(X) \cong \mathbb then b_n(X) = 1, if H_n(X) \cong \mathbb \oplus \mathbb then b_n(X) = 2, if H_n(X) \cong \mathbb \oplus \mathbb\oplus \mathbb then b_n(X) = 3, etc. Note that only the ranks of infinite groups are considered, so for example if H_n(X) \cong \mathbb^k \oplus \mathbb/(2) , where \mat ...
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Betti's Theorem
Betti's theorem, also known as Maxwell–Betti reciprocal work theorem, discovered by Enrico Betti in 1872, states that for a linear elastic structure subject to two sets of forces i=1,...,n and , j=1,2,...,n, the work done by the set P through the displacements produced by the set Q is equal to the work done by the set Q through the displacements produced by the set P. This theorem has applications in structural engineering where it is used to define influence lines and derive the boundary element method. Betti's theorem is used in the design of compliant mechanisms by topology optimization approach. Proof Consider a solid body subjected to a pair of external force systems, referred to as F^P_i and F^Q_i. Consider that each force system causes a displacement field, with the displacements measured at the external force's point of application referred to as d^P_i and d^Q_i. When the F^P_i force system is applied to the structure, the balance between the work performed by the exte ...
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Betti Reaction
The Betti reaction is a chemical addition reaction of aldehydes, primary aromatic amines and phenols producing α-aminobenzylphenols. The Betti reaction is a special case of the Mannich reaction. History The reaction is named after the Italian chemist Mario Betti (1857-1942). Betti worked at many universities in Italy, including Florence, Cagliari, Siena, Genoa and Bologna, where he was the successor of Giacomo Ciamician. Betti's main research was focused on stereochemistry, and the resolution of racemic compounds, the relationship between molecular constitution and optical rotation, as well asymmetric synthesis using chiral auxiliaries or in the presence of polarized light. In 1939 Mario Betti was appointed the Senator of the Kingdom of Italy. In 1900 Betti hypothesized that 2-naphthol would be a good carbon nucleophile to the imine produced from the reaction of benzaldehyde and aniline. This led to the Betti reaction.Cardellicchio, C.; Capozzi, M.A.M.; Naso, F. '' Tetra ...
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Beti (other)
Beti may refer to: People * Mongo Beti (1932–2001), Cameroonian writer * Beti George (born 1939), Welsh television and radio broadcaster * Beti Jones (1919–2006), Scottish social worker * Beti Kamya-Turwomwe (born 1955), Ugandan businesswoman and politician * Beti Rimac (born 1976), Croatian volleyball player * Beti Rhys (1907–2003), Welsh bookstore owner and author * Beti Sekulovski (born 1983), Australian tennis player Other uses * Béti, a sub-prefecture of Logone Occidental Region in Chad * Beti people, a Central African ethnic group * Beti language, a group of Bantu languages in Central and West Africa * Beti language (Côte d'Ivoire) Eotile, or Beti, is a nearly extinct Tano language of Ivory Coast. Speakers are shifting to Anyin, with remaining Eotile speakers heavily influenced by that language. The last speaker of "pure" Eotile is reported to have died in 1993. Referen ... or Eotile, a nearly extinct Tano language * ''Beti'' (1969 film), an Indian, Hindi- ...
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