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regularity    音标拼音: [r,ɛgjəl'ɛrəti]
n. 有规则,匀整,正规,经常,调和

有规则,匀整,正规,经常,调和

regularity
n 1: a property of polygons: the property of having equal sides
and equal angles [synonym: {regularity}, {geometrical
regularity}]
2: the quality of being characterized by a fixed principle or
rate; "he was famous for the regularity of his habits" [ant:
{irregularity}, {unregularity}]

Regularity \Reg`u*lar"i*ty\ (-l?r"?*t?), n. [Cf. F.
r['e]gularit['e].]
The condition or quality of being regular; as, regularity of
outline; the regularity of motion.
[1913 Webster]

125 Moby Thesaurus words for "regularity":
arrangement, array, balance, bilateral symmetry, cadence,
ceaselessness, chattering, clockwork regularity, concord,
conformity, congruity, consistency, constancy, constant flow,
continualness, continuity, correspondence, daily round,
dependability, deployment, dingdong, disposal, disposition,
downiness, drone, dynamic symmetry, equality, equilibrium,
eurythmics, eurythmy, even pace, even tenor, evenness, finish,
flatness, formation, frictionlessness, glabriety, glabrousness,
glossiness, greasiness, harmoniousness, harmony, health,
incessancy, invariability, keeping, layout, levelness, lineup,
lubricity, marshaling, monologue, monotone, monotonousness,
monotony, multilateral symmetry, naturalism, naturalness, naturism,
noninterruption, normalcy, normality, normalness, oiliness, order,
orderliness, organization, oscillation, pace, parallelism, peace,
perpetuity, polarity, predictability, proportion, proportionality,
propriety, pulsation, quick fire, quiet, quietude, rapid fire,
rapid recurrence, rapid succession, rapidity, realism, reliability,
repetition, rhythm, routine, sameliness, sameness, satininess,
setup, shapeliness, silkiness, singsong, sleekness, slickness,
slipperiness, smoothness, stability, staccato, steadiness,
structure, stuttering, suavity, sustainment, symmetricalness,
symmetry, system, tattoo, tranquillity, treadmill,
trilateral symmetry, undeviation, undifferentiation, uniformity,
unintermission, uninterruption, unvariation, velvetiness,
vibration, wholesomeness


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  • What does the term regularity mean? - Mathematics Stack Exchange
    When I was an undergraduate, I took a course on regularity theory for nonlinear elliptic systems This included topics such as the direct method of calculus of variations, mollifiers, integration o
  • Do we really need the axiom of regularity? [duplicate]
    We don't really need the Axiom of Regularity in ZFC Having it is a matter of convenience We've known since the 1930s that if the variant of Zermelo-Fraenkel set theory that lacks the axiom of regularity is consistent, then so is Zermelo-Fraenkel set theory itself The argument is essentially what you allude to in your post: if we have a structure that satisfies all the axioms of ZF set
  • Help understanding the axiom of regularity - Mathematics Stack Exchange
    Usual mathematical results (like propositions on analysis and geometry) would not need the axiom of regularity, but some deeper set theory heavily relies on the axiom of regularity As a side note, a regularity-free proof of "the existence of a basis on any vector spaces implies AC" is not known
  • Definition of regularity in PDE theory - Mathematics Stack Exchange
    Regularity is one of the vague yet very useful terms to talk about a vast variety of results in a uniform way Other examples of such words include "dynamics" in dynamical systems (I have never seen a real definition of this term but everyone uses it, and it vaguely means the way a system changes over time) or "canonical" (roughly meaning that with just the information given, a canonical
  • Understanding regular Borel measures - Mathematics Stack Exchange
    Why outer regularity? Well now it feels like we approximate mass of a set by shrinking larger sets containing it Ultimately it comes down to the following: While the topology and the measure $\mu$ are somewhat connected (by definition of the Borel- $\sigma$ -algebra on which $\mu$ lives), they are not intimately married
  • Non-existence of self containing sets due to Axiom of Regularity in . . .
    Most opinions I've seen on the topic where that the Axiom of Regularity does not really prevent Russell's Paradox and that it has to do more with the Axiom of Specification However, the Axiom of Regularity forbids the existence of self containing sets Wouldn't that mean that it also in some sense "resolves" Russell's Paradox?
  • Regularity of solution for Poisson equation on bounded domains
    Regularity of solution for Poisson equation on bounded domains Ask Question Asked 2 years, 11 months ago Modified 2 years, 11 months ago
  • partial differential equations - $W^ {2,p}$ regularity of obstacle . . .
    I am reading the book from Avner Friedman: Variational Principles and Free Boundary Problems This book uses penalization methods to study the obstacle problem In Chapter 1 3, the Problem 1 claims
  • elliptic equations - Regularity of functions approximated by . . .
    Caffarelli introduced a method of pointwise approximation by polynomials to prove the interior regularity of solutions to fully nonlinear elliptic equations Moreover, this method can be used to prove boundary regularity
  • References for regularity of solution to fourth order elliptic . . .
    After searching, all I could find was regularity of solutions to second-order PDEs like in Partial Differential Equations by Evans and Functional Analysis, Sobolev Spaces and Partial Differential





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