In the context of uniform random mappings of an n-element set to itself, Aldous and Pitman (1994) established a functional invariance principle, showing that many n ! 1 limit distributions can be described as distributions of suitable functions of re ecting Brownian bridge. To study non-uniform cases, in this paper we formulate a sampling invariance principle in terms of iterates of a xed numbe...

According to SIFT algorithm does not have the property of affine invariance, and the high complexity of time and space, it is difficult to apply to real-time image processing for batch image sequence, so an improved SIFT feature extraction algorithm was proposed in this paper. Firstly, the MSER algorithm detected the maximally stable extremely regions instead of the DOG operator detected extrem...

Isospin invariance, P and CP could well have been dynamically broken along with chiral invariance by the quark-antiquark condensate (<{q>. #0) . We show, however, that under appropriate circumstances, the conservation of isospin, P and CP is "natural". (Submitted to Phys. Rev. Lett.) * This work was supported by the Department of Energy under contract number DE-AC03-76-SF00515.

The Z 2-gradedČech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncom-mutative theory and the classical Z 2-gradedČech cohomology theory.

Crowd employment is a new form of short term and flexible employment which has emerged during the past decade. For understanding this new form of employment, it is crucial to understand the underlying motivations of the workforce involved in it. This paper presents the Multidimensional Crowdworker Motivation Scale (MCMS), a scale for measuring the motivation of crowdworkers on micro-task platfo...

The Z 2-gradedČech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncom-mutative theory and the classical Z 2-gradedČech cohomology theory.

In the spirit of well-known odd-number limitation, we study failure Pyragas control periodic orbits and equilibria. Addressing first, derive a fundamental observation on invariance geometric multiplicity trivial Floquet multiplier. This leads to clear unifying understanding both in autonomous non-autonomous setting. Since presence multiplier governs possibility successful stabilization, refer t...

We define the Milnor number -- as intersection of two holomorphic sections a one-dimensional foliation $\mathscr{F}$ with respect to compact connected component $C$ its singular set. Under certain conditions, we prove that on three-dimensional manifold is invariant by $C^1$ topological equivalences.