The problem of low space utilization (Fig. 1). E mbedded/mobile computing systems are usually battery-powered devices and are widely adopted in various application domains. Due to cost and energy considerations, they usually have limited computing power, RAM space, and storage capacity. However, recent improvements in embedded/ mobile computing systems' computing ability have allowed some embed...

A structure M ≤ N is symmetrically embedded in N if any σ ∈ Aut(M) extends to an automorphism of N . A countable structure M is symmetrically indivisible if for any coloring of M by two colors there exists a monochromatic M ≤ M such that M ∼= M and M is symmetrically embedded in M. We give a model-theoretic proof of the symmetric indivisibility of Rado’s countable random graph [9] and use these...

We prove that a generic canonically or bicanonically embedded smooth curve has semistable m Hilbert points for all m ≥ 2. We also prove that a generic bicanonically embedded smooth curve has stable m Hilbert points for all m ≥ 3. In the canonical case, this is accomplished by proving finite Hilbert semistability of special singular curves with Gm-action, namely the canonically embedded balanced...

here, a finsler manifold $(m,f)$ is considered with corresponding curvature tensor, regarded as $2$-forms on the bundle of non-zero tangent vectors. certain subspaces of the tangent spaces of $m$ determined by the curvature are introduced and called $k$-nullity foliations of the curvature operator. it is shown that if the dimension of foliation is constant, then the distribution is involutive a...

It has recently been observed that sparse and compressible signals can be sketched using very few nonadaptive linear measurements in comparison with the length of the signal. This sketch can be viewed as an embedding of an entire class of compressible signals into a low-dimensional space. In particular, d-dimensional signals with m nonzero entries (m-sparse signals) can be embedded in O(m log d...

A closed, and say orientable, Riemannian 3–manifold (M, ρ) is hyperbolic if the metric ρ has constant sectional curvature κρ = −1. Equivalently, there is a discrete and torsion free group Γ of isometries of hyperbolic 3–space H3 such that the manifolds (M, ρ) and H3/Γ are isometric. It is well-known that the fundamental group π1(M) of every closed 3–manifold which admits a hyperbolic metric is ...

Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian...