A class of translation bounded complex measures, which have the form of weighted Dirac combs, on locally compact Abelian groups is investigated. Given such a Dirac comb, we are interested in its diffraction spectrum which emerges as the Fourier transform of the autocorrelation measure. We present a sufficient set of conditions to ensure that the diffraction measure is a pure point measure. Simu...

Almost periodicity of solutions of firstand second-order Cauchy problems on the real line is proved under the assumption that the imaginary (resp. real) spectrum of the underlying operator is countable. Related results have been obtained by Ruess Vu~ and Basit. Our proof uses a new idea. It is based on a factorisation method which also gives a short proof (of the vector-valued version) of Loomi...

The purpose of this paper is to introduce some new classes of rings and modules that are closely related to the classes of almost Dedekind domains and almost Dedekind modules. We introduce the concepts of $\phi$-almost Dedekind rings and $\Phi$-almost Dedekind modules and study some properties of this classes. In this paper we get some equivalent conditions for $\phi$-almost Dedekind rings and ...

We study distribution dependent stochastic differential equation driven by a continuous process, without any specification on its law, following the approach initiated in [17]. provide several criteria for existence and uniqueness of solutions which go beyond classical globally Lipschitz setting. In particular we show well-posedness equation, as well almost sure convergence associated particle ...

ten varieties of iranian soybeans are cultivated in different areas of the country; persia or sahar (sr), hill (hl), williams (wz), gorgan 3 (gn), clarke (kl), hawkey (hk), zaan (zn), harcor (hr), dare (dr) and simes (ss), grown in tropical regions. samples of these 10 varieties were obtained from the institute of plant and seed research. after sample preparation, their oils were extracted and ...

Since it is the de facto language for software specification and design, UML is the target language used by almost all state of the art contributions handling security at specification and design level. However, these contributions differ in the covered security requirements, specification approaches, verification tools, etc. This paper investigates the main approaches adopted for specifying an...

Formation of epiblast (EPI) - the founder line of all embryonic lineages - and extra-embryonic supportive tissues is one of the key events in mammalian development. The prevailing model of early mammalian development is based almost exclusively on the mouse. Here, we provide a comprehensive, stage-by-stage analysis of EPI and extra-embryonic primitive endoderm (PrE) formation during preimplanta...

The development process of automotive human machine interfaces (HMIs) is traditionally characterized by a number of discontinuities. A diverse set of stake-holders participate in this development process, all of which have their own perspectives, use their own approaches, and rely on their own representational frameworks and tools. Our strategy to overcome the existing discontinuities relies on...

in this paper the concept of an $omega$- almost boolean ring is introduced and illistrated how a sheaf of algebras can be constructed from an $omega$- almost boolean ring over a locally boolean space.