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Normal Tree
Normal(s) or The Normal(s) may refer to: Film and television * ''Normal'' (2003 film), starring Jessica Lange and Tom Wilkinson * ''Normal'' (2007 film), starring Carrie-Anne Moss, Kevin Zegers, Callum Keith Rennie, and Andrew Airlie * ''Normal'' (2009 film), an adaptation of Anthony Neilson's 1991 play ''Normal: The Düsseldorf Ripper'' * ''Normal!'', a 2011 Algerian film * ''The Normals'' (film), a 2012 American comedy film * "Normal" (''New Girl''), an episode of the TV series Mathematics * Normal (geometry), an object such as a line or vector that is perpendicular to a given object * Normal basis (of a Galois extension), used heavily in cryptography * Normal bundle * Normal cone, of a subscheme in algebraic geometry * Normal coordinates, in differential geometry, local coordinates obtained from the exponential map (Riemannian geometry) * Normal distribution, the Gaussian continuous probability distribution * Normal equations, describing the solution of the linear least sq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal (2003 Film)
''Normal'' is a 2003 American Television film, made-for-television drama (film and television), drama film produced by HBO Films, which became an official selection at the 2003 Sundance Film Festival. Jane Anderson, the film's screenwriter, writer and film director, director, adapted her own play, ''Looking for Normal''. The film is about a fictional Midwestern United States, Midwestern factory worker named Roy Applewood, who stuns his wife of 25 years by saying he wishes to undergo sex reassignment surgery and transitioning (transgender), transition to a woman. In an HBO interview, Anderson was asked "Were you drawing on any sources when you were researching this? Or was it purely out of your imagination?", to which she replied "Oh, it's my imagination, it's all fiction." She also said that she wanted to use the play "as a metaphor for a study of marriage", calling transition the "ultimate betrayal". Plot Roy Applewood (Tom Wilkinson), after fainting on the night of 25th marri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Matrix
In mathematics, a complex square matrix is normal if it commutes with its conjugate transpose : The concept of normal matrices can be extended to normal operators on infinite dimensional normed spaces and to normal elements in C*-algebras. As in the matrix case, normality means commutativity is preserved, to the extent possible, in the noncommutative setting. This makes normal operators, and normal elements of C*-algebras, more amenable to analysis. The spectral theorem states that a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix satisfying the equation is diagonalizable. The converse does not hold because diagonalizable matrices may have non-orthogonal eigenspaces. The left and right singular vectors in the singular value decomposition of a normal matrix \mathbf = \mathbf \boldsymbol \mathbf^* differ only in complex phase from each other and from the corresponding eigenvectors, since the phase must be factored out ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal (Eminem Song)
"Normal" is a song by American rapper Eminem from his tenth studio album ''Kamikaze''. It was released as the album's fifth track on August 31, 2018 via Shady Records along with the rest of the album. Recording sessions took place at Effigy Studios in Detroit. Produced by Illadaproducer, Symbolyc One and Lonestarrmuzik, the song contains samples from Little Dragon's song "Seconds". Despite never being released as a single, the song has managed to chart worldwide. The rapper speaks about a volatile, mutually toxic relationship that throws several parallels to the hit single " Love the Way You Lie". He raps in the song's opening: "I love you but I hope you fuckin' die tho". Tom Breihan of ''Stereogum'' wrote: "Eminem freaks out on an on-and-off girlfriend, accusing her of cheating or of getting back at him by dressing sexy when she goes out. He complains that she’s being “extra, like a fuckin’ terrestrial”. As the song progresses, he's rapping about putting tracking devices ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal (Alonzo Song)
"Normal" is a song released in 2015 by Alonzo and Jul Jul most commonly refers to: * July, as an abbreviation for the seventh month of the year in the Gregorian calendar Jul or JUL may also refer to: Celebrations * ''Jul'', Scandinavian and Germanic word for Yule * ''Jul (Denmark)'', the Danish Yu .... Charts References 2015 singles 2015 songs French-language songs {{2015-single-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal (album)
''Normal'' is the sixth studio album by recording artist Ron "Bumblefoot" Thal released in December 2005. Bumblefoot described the album as "''Normal'' brings you into the world of an insane musician who takes medication and experiences what it's like to be 'normal' for the first time. The only problem is that the medicine silences his ability to make music. Eventually he must choose which life he wants. The songs on Normal follow his real-life journey, leaving you to ponder, "What's 'normal,' anyway?" The songs "Real" and "Turn Around" are available as additional downloadable content in the video game, '' Rock Band 2'' through the community-driven Rock Band Network The ''Rock Band'' Network (abbreviated RBN) was a downloadable content service designed by Harmonix with the help of Microsoft to allow musical artists and record labels to make their music available as playable tracks for the ''Rock Band'' seri .... The song 'Thank You' is a 4:35 long song with 28 minutes of silen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Subgroup
In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup N of the group G is normal in G if and only if gng^ \in N for all g \in G and n \in N. The usual notation for this relation is N \triangleleft G. Normal subgroups are important because they (and only they) can be used to construct quotient groups of the given group. Furthermore, the normal subgroups of G are precisely the kernels of group homomorphisms with domain G, which means that they can be used to internally classify those homomorphisms. Évariste Galois was the first to realize the importance of the existence of normal subgroups. Definitions A subgroup N of a group G is called a normal subgroup of G if it is invariant under conjugation; that is, the conjugation of an element of N by an element of G is always in N. The usual notation for this re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Space
In topology and related branches of mathematics, a normal space is a topological space ''X'' that satisfies Axiom T4: every two disjoint closed sets of ''X'' have disjoint open neighborhoods. A normal Hausdorff space is also called a T4 space. These conditions are examples of separation axioms and their further strengthenings define completely normal Hausdorff spaces, or T5 spaces, and perfectly normal Hausdorff spaces, or T6 spaces. Definitions A topological space ''X'' is a normal space if, given any disjoint closed sets ''E'' and ''F'', there are neighbourhoods ''U'' of ''E'' and ''V'' of ''F'' that are also disjoint. More intuitively, this condition says that ''E'' and ''F'' can be separated by neighbourhoods. A T4 space is a T1 space ''X'' that is normal; this is equivalent to ''X'' being normal and Hausdorff. A completely normal space, or , is a topological space ''X'' such that every subspace of ''X'' with subspace topology is a normal space. It turns out that ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Sequence (other) . ''Set Theory'', 3rd millennium ed., 2002, Springer Monographs in Mathematics,Springer,
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In mathematics, the term ''normal sequence'' has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties. * In set theory, a normal sequence is one that is continuous and strictly increasing. * In probability theory, ''normal sequence'' may be used synonymously with ''normal number''. References * Thomas Jech Thomas J. Jech ( cs, Tomáš Jech, ; born January 29, 1944 in Prague) is a mathematician specializing in set theory who was at Penn State for more than 25 years. Life He was educated at Charles University (his advisor was Petr Vopěnka) and from 2 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Scheme
In algebraic geometry, an algebraic variety or scheme ''X'' is normal if it is normal at every point, meaning that the local ring at the point is an integrally closed domain. An affine variety ''X'' (understood to be irreducible) is normal if and only if the ring ''O''(''X'') of regular functions on ''X'' is an integrally closed domain. A variety ''X'' over a field is normal if and only if every finite birational morphism from any variety ''Y'' to ''X'' is an isomorphism. Normal varieties were introduced by . Geometric and algebraic interpretations of normality A morphism of varieties is finite if the inverse image of every point is finite and the morphism is proper. A morphism of varieties is birational if it restricts to an isomorphism between dense open subsets. So, for example, the cuspidal cubic curve ''X'' in the affine plane ''A''2 defined by ''x''2 = ''y''3 is not normal, because there is a finite birational morphism ''A''1 → ''X'' (namely, ''t'' maps to (''t''3, ''t''2) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Ring
In commutative algebra, an integrally closed domain ''A'' is an integral domain whose integral closure in its field of fractions is ''A'' itself. Spelled out, this means that if ''x'' is an element of the field of fractions of ''A'' which is a root of a monic polynomial with coefficients in ''A,'' then ''x'' is itself an element of ''A.'' Many well-studied domains are integrally closed: fields, the ring of integers Z, unique factorization domains and regular local rings are all integrally closed. Note that integrally closed domains appear in the following chain of class inclusions: Basic properties Let ''A'' be an integrally closed domain with field of fractions ''K'' and let ''L'' be a field extension of ''K''. Then ''x''∈''L'' is integral over ''A'' if and only if it is algebraic over ''K'' and its minimal polynomial over ''K'' has coefficients in ''A''. In particular, this means that any element of ''L'' integral over ''A'' is root of a monic polynomial in ''A'' 'X'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Polytope
In mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope ''P'' is called normal if it has the following property: given any positive integer ''n'', every lattice point of the dilation ''nP'', obtained from ''P'' by scaling its vertices by the factor ''n'' and taking the convex hull of the resulting points, can be written as the sum of exactly ''n'' lattice points in ''P''. This property plays an important role in the theory of toric varieties, where it corresponds to projective normality of the toric variety determined by ''P''. Normal polytopes have popularity in algebraic combinatorics. These polytopes also represent the homogeneous case of the Hilbert bases of finite positive rational cones and the connection to algebraic geometry is that they define projectively normal embeddings of toric varieties. Definition Let P\subset\mathbb^d be a lattice polytope. Let L\subseteq \mathbb^d denote the lattice (possibly in an affine subspace of \mathbb^d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normal Order Of An Arithmetic Function
In number theory, a normal order of an arithmetic function is some simpler or better-understood function which "usually" takes the same or closely approximate values. Let ''f'' be a function on the natural numbers. We say that ''g'' is a normal order of ''f'' if for every ''ε'' > 0, the inequalities : (1-\varepsilon) g(n) \le f(n) \le (1+\varepsilon) g(n) hold for ''almost all'' ''n'': that is, if the proportion of ''n'' ≤ ''x'' for which this does not hold tends to 0 as ''x'' tends to infinity. It is conventional to assume that the approximating function ''g'' is continuous and monotone. Examples * The Hardy–Ramanujan theorem: the normal order of ω(''n''), the number of distinct prime factors of ''n'', is log(log(''n'')); * The normal order of Ω(''n''), the number of prime factors of ''n'' counted with multiplicity, is log(log(''n'')); * The normal order of log(''d''(''n'')), where ''d''(''n'') is the number of divisors of ''n'', is log(2)&nb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
