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WELL-BEHAVED

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  • Mathematical singularity, a point at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable.
  • The two definitions are equivalent for many well-behaved spaces, including all Hausdorff σ-compact spaces, but can be different in more pathological spaces.
  • The notion of paracompact space is also studied in pointless topology, where it is more well-behaved.
  • In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as by lacking differentiability or analyticity.
  • In category theory and its applications to mathematics, a normal monomorphism or conormal epimorphism is a particularly well-behaved type of morphism.
  • When equidistant samples must be used because resampling on well-behaved sets of nodes is not feasible, the S-Runge algorithm can be considered.
  • Emotionally, he was an affectionate and well-behaved son, who adored his mother and trembled when his father spoke.
  • For an example of a well-behaved four-component object in special relativity that is not a four-vector, see bispinor.
  • The event went smoothly, with the well-behaved crowd starkly contrasting with the violence that plagued Woodstock '99; the biggest challenges to Coachella concertgoers were temperatures exceeding 100 °F and the decisions of which of the 80-plus acts to attend.
  • The category of group schemes is somewhat better behaved than that of group varieties, since all homomorphisms have kernels, and there is a well-behaved deformation theory.
  • Mach–Zehnder modulators are incorporated in monolithic integrated circuits and offer well-behaved, high-bandwidth electro-optic amplitude and phase responses over a multiple-gigahertz frequency range.
  • Nevertheless, according to Penrose's cosmic censorship hypothesis, the singularity will be confined within the event horizon bounding the black hole, so the spacetime region outside will still have a well-behaved geometry, with strong but finite curvature, that is expected to evolve towards a rather simple form describable by the historic Schwarzschild metric in the spherical limit and by the more recently discovered Kerr metric if angular momentum is present.
  • Evil Eye — a ghostly disembodied optic organ causes previously well-behaved citizens to indulge in criminal activities.
  • But as soon as his outfit evolved from mere duds towards a more tidy red polo shirt and black trousers, he became a well-behaved and obedient boy.
  • The Dirac adjoint is motivated by the need to form well-behaved, measurable quantities out of Dirac spinors, replacing the usual role of the Hermitian adjoint.
  • One-dimensional bound states can be shown to be non-degenerate in energy for well-behaved wavefunctions that decay to zero at infinities.
  • In mathematics, especially in the field of module theory, the concept of pure submodule provides a generalization of direct summand, a type of particularly well-behaved piece of a module.
  • He is described by early biographers as “a prudent young man of pleasing looks, courteous and well-behaved in his speech and manners, well-built, strong, a good fighter, clear-headed, affectionate, pure and humble, and fond of reading.
  • As with Korey, Kyle has a playfully antagonistic relationship with the well-behaved Ian; while he probably cares for the "doofus" deep down, the temptations to play off of Ian's gullibility and sensitivity are too much for him to resist most of the time.
  • Described as "a bright, well-behaved, pop-culturally savvy teenager", Jezebel further called her a "feminist" for reading feminist prose, dreaming of having a career like Christiane Amanpour and for rejecting a wedding proposal because she is too young.
  • Young males are initiated into the community during a four-part ritual in which they are symbolically transformed from flesh-eating cannibals, a state equated with death, into well-behaved members of society.
  • In the 2006 Doctor Who episode "School Reunion", the Doctor comments on the kids at the school being very well-behaved, expecting them to be "happy-slapping hoodies with ASBOs and ringtones".
  • Despite being cast as the well-behaved, good-hearted, cheerful girl, the youth culture forming with Babs as its icon caused outrage among members of the older generation.
  • The rescaled map may still have energy concentrating at one or more points, so one must rescale iteratively, eventually attaching an entire bubble tree onto the original domain, with the map well-behaved on each smooth component of the new domain.
  • A child that is cleanly, agreeable, of good character, well-behaved even though he be ignorant is preferable to a child that is rude, unwashed, ill-natured, and yet becoming deeply versed in all the sciences and arts.



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