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separatrix
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separatrix
‖ separatrix (sɛpəˈreɪtrɪks) Pl. separatrices (-trɪsiːz). [late L., fem. agent-n. f. sēparāre to separate. The feminine is in apposition with līnea line, understood.] † 1. a. The mark (originally L, later I), formerly used to separate the figures representing decimals from those representing integer...
Oxford English Dictionary
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Separatrix
Separatrix (from Latin, the feminine form of "separator") may refer to:
Separatrix (decimal mark), an mark or vertical bar formerly used as a decimal point
Separatrix, a proofreader's mark resembling the slash
Separatrix in math, the boundary separating two modes of behaviour in a differential equation
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Separatrix (mathematics)
to the separatrix. External links
Separatrix from MathWorld.
Dynamical systems
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decrescent
decrescent, a. and n. (dɪˈkrɛsənt) Also 7–8 decressant. [ad. L. dēcrēscent-em, pr. pple. of dēcrēscĕre to decrease: see -ent. For the earlier spelling, cf. crescent.] A. adj. Decreasing, growing gradually less. Chiefly of the moon: Waning, in her decrement; in Her. represented with the horns towards...
Oxford English Dictionary
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Separator
song by Radiohead, off the 2011 album The King of Limbs
In computing, a Printer separator to flag the start and end of jobs on a printer
See also
Separatrix
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separating
▪ I. separating, vbl. n. (ˈsɛpəreɪtɪŋ) [f. separate v. + -ing1.] The action of separate v.c 1550 Cheke Matt. xxi. 44 note, This separating of chaf and dust awai from y⊇ good corne is called in greek λικµᾶν. 1623 Cockeram ii, A Seperating of man and wife. Diuorce. 1644 Milton Divorce i. x. (ed. 2) 26...
Oxford English Dictionary
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Dmitrii Treschev
Treschev's research deals with integrability and non-integrability, dynamical stability, KAM theory, separatrix splitting, averaging in slow-fast systems
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sexagesm
† ˈsexagesm Math. Obs. [ad. mod.L. sexāgēsima (sc. pars), fem. of L. sexāgēsimus, ordinal of sexāgintā sixty.] A sexagesimal fraction. Also, the sixtieth part of a degree, a minute.1570 [see sexagene]. 1635 Gellibrand Variation Magn. Needle 13 The differ. is 110008 MZB..which converted into sexagesm...
Oxford English Dictionary
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FitzHugh–Nagumo model
If the separatrix is a curve, then trajectories to the left of the separatrix converge to the left sink, and similarly for the right. If the separatrix is a cycle around the left intersection, then trajectories inside the separatrix converge to the left spiral point.
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John Robert Cary
The Russian mathematician Arnold listed separatrix crossing as one of the 10 mathematical discoveries of the 1980s.
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拉格朗日拟序结构
通过有限时间李亚普诺夫指数可以找到时间相关系统中的分界线(separatrix),通常类似于时间无关系统中的稳定流形和非稳定流形。这些分界线即是拉格朗日拟序结构。拉格朗日拟序结构可以区分流场中有不同动力学特征的区域,而这些特征通常是通过速度场、甚至系统的轨迹无法显现的。
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Jeff Kipnis
"Twisting the Separatrix," in K. Michael Hays (ed), Architectural Theory Since 1968, Cambridge, MIT Press, 1998.
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Harold Weitzner
"Single particle motion near an X point and separatrix." Physics of Plasmas 11.6 (2004): 3060–3067.
Weitzner, Harold, and Choong-Seock Chang. "Single particle motion near an X point and separatrix." Physics of Plasmas 11.6 (2004): 3060–3067.
Throumoulopoulos, G.
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Polhode
The transition point between two stable axes of rotation is called the separatrix along which the angular velocity passes through the axis of intermediate to energy dissipation or torques would cause the polhode path to expand, in larger and larger ellipses or circles, and eventually migrate through the separatrix
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Lamb–Chaplygin dipole
The Lamb–Chaplygin model follows from demanding the following characteristics:
The dipole has a circular atmosphere/separatrix with radius : .
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