By studying the geomentric continuity and parametric continuity of the connected Bezier curve,the paper gives the geometric meaning of the continuity of the G~0,G~1,G~2 and C~0,C~1,C~2 and improves the bounded conditions of the C~2 continuity.
The relationship between the solution u of the nonlinear elliptic varia-tional inequality with a double obstacbe constraint of the formφ_1≤u≤φ_2 and the functionclasses S￣±(G,p,C,λ)is investigated and the continuity of u at giving-point x_0 is proved.
In this paper, we will discuss the continuity of the mapping V : Q(X) → Q(X) defined by and also of the inverse mapping V-1, obtaining some Lakic-type results concerning the geometry of Teichmuller spaces.
In this paper we investigate the continuity property of ι1 optimization design in general case,extending the main result in Li j where the continuity of ι1 optimization design is proved under some restrictive assumption. At first,in the general case,the existence of suboptimal solution of ι1 optimization problem is proved and a unified ι1 optimization design algorithm is presented. Then the continuity property of ι1 optimization design in general case is proved.
264, in spite of its high quality, is very time-consuming due to its complex motion estimation. A fast motion estimation (FME) algorithm called valid-region-based FME (VRF) was proposed by exploring the motion continuity property in multiple reference frames (RFs).
Consider thhe following degenenate elliptic equation: where a, b are constants and f (r) is a monotonic, nonnegative, continuous function satisfying the Dini's condition. Tt is proved that the solution has the strongly unique continuity property.
The absolute continuity of elliptic measure revisited
Ideal weights: Asymptotically optimal versions of doubling, absolute continuity, and bounded mean oscillation
This criterion implies several results concerning the problem of integrable solutions of n-scale refinement equations and the problem of absolutely continuity of distribution function of one random series.
We study the continuity properties of a projection derived from a recent characterization of Herglotz Wave Functions in the plane.
Finally, we show that microlocally away from a critical set the continuity estimate can be mproved:
Often, the Dyadic Wavelet Transform is performed and implemented with the Daubechies wavelets, the Battle-Lemarie wavelets, or the splines wavelets, whereas in continuous-time wavelet decomposition a much larger variety of mother wavelets is used.
From continuous to discrete Weyl-Heisenberg frames through sampling
In this article, we construct two-dimensional continuous/smooth local sinusoidal bases (also called Malvar wavelets) defined onL-shaped regions.
Let 0≤g be a dyadic H?lder continuous function with period 1 and g(0)=1, and let.
We prove a Calderón reproducing formula for a continuous wavelet transform associated with a class of singular differential operators on the half line.
A Banach space X possesses the PC (point of continuity) property if for any w-closed bounded subset A ? X the identity map (A,w)→(A, ∥ ? ∥) has a point of continuity (w is the weak topology in X).
The uniqueness of weak solution and the continuity property of interface are studied also.
We establish an existence result in which T is not supposed to have any continuity property.
An alternative proof of the charged particle Levinson theorem using only the asymptotic behaviour of the wave function and a continuity property for zero energy, is given.
But if a coalitional game with a countable set of players satisfies a mild continuity property, its core consists of those and only those payoff vectors which cannot be dominated using payoffs in the core of a subgame.