The Stochastic Wave Equation with Fractional Noise: a random field approach

We consider the linear stochastic wave equation with spatially homogenous Gaussian noise, which is fractional in time with index $H>1/2$. We show that the necessary and sufficient condition for the existence of the solution is a relaxation of the condition obtained in \cite{dalang99}, when the noise is white in time. Under this condition, we show that the solution is $L^2(\Omega)$-continuous. Similar results are obtained for the heat equation. Unlike the white noise case, the necessary and sufficient condition for the existence of the solution in the case of the heat equation is {\em different} (and more general) than the one obtained for the wave equation

The Stochastic Heat Equation with a Fractional-Colored Noise: Existence of the Solution

In this article we consider the stochastic heat equation $u_{t}-\Delta u=\dot B$ in (0,T) \times \bR^d, with vanishing initial conditions, driven by a Gaussian noise $\dot B$ which is fractional in time, with Hurst index $H \in (1/2,1)$, and colored in space, with spatial covariance given by a function $f$. Our main result gives the necessary and sufficient condition on $H$ for the existence of the process solution. When $f$ is the Riesz kernel of order $\alpha \in (0,d)$ this condition is $H>(d-\alpha)/4$, which is a relaxation of the condition $H>d/4$ encountered when the noise $\dot B$ is white in space. When $f$ is the Bessel kernel or the heat kernel, the condition remains $H>d/4$

HOW TRANSPARENT ARE COMPANIES LISTED ON THE BUCHAREST STOCKEXCHANGE WHEN DISCLOSE THEM CONSOLIDATED FINANCIAL STATEMENTS?

The main objective of this paper is to examine the level of disclosure regarding theconsolidated financial statements in the case of Romanian listed companies. In order to measurethis, a multiple index was used that quantifies the level of dislosure a company has achieved. Themain conclusion, in accordance with our hypotheses is that the disclosure index is higher in thecase of first category of listed entities comparing with the second and third category.consolidated financial statements, IFRS, harmonization, disclosure

Stochastic Heat Equation with Multiplicative Fractional-Colored Noise

We consider the stochastic heat equation with multiplicative noise $u_t={1/2}\Delta u+ u \diamond \dot{W}$ in \bR_{+} \times \bR^d, where $\diamond$ denotes the Wick product, and the solution is interpreted in the mild sense. The noise $\dot W$ is fractional in time (with Hurst index $H \geq 1/2$), and colored in space (with spatial covariance kernel $f$). We prove that if $f$ is the Riesz kernel of order $\alpha$, or the Bessel kernel of order $\alpha<d$, then the sufficient condition for the existence of the solution is $d \leq 2+\alpha$ (if $H>1/2$), respectively $d<2+\alpha$ (if $H=1/2$), whereas if $f$ is the heat kernel or the Poisson kernel, then the equation has a solution for any $d$. We give a representation of the $k$-th order moment of the solution, in terms of an exponential moment of the "convoluted weighted" intersection local time of $k$ independent $d$-dimensional Brownian motions

Internet of Things (IoT) as an Instrument to Improve Business and Marketing Strategies. A Literature Review

Creative destruction used by German sociologist Werner Sombart in 1913, and later known as Schumpeter’s gale, could be considered the first conceptual stage of what happens nowadays in all industries “forced” to use the digital environment. First three industrial revolutions experienced by the humanity happened in over three centuries with tangible results that improved immensely the day-to-day life of people. The fourth one happened in decades, and it was characterized by the use of information and communication technology in various industries. As the literature review has revealed, Internet of Things (IoT) is part of Industry 4.0., linking industries and consumers in a smarter way through sensors and other devices, collecting valuable data and helping companies. This article proposes a navigation throughout the literature to demonstrate that IoT is a new and modern solution that has a big potential for development to help businesses to take smarter and swifter decisions from data gathered indirectly from consumers. Given that the papers analyzed are quite recent, we would say that this topic of IoT is only lightly investigated, and it opens many subjects of discussions, not only on the business and marketing side, but also economically, socially, and of course, technically. Various questions have arisen during the research: Is there a limitation in using this instrument in business and marketing strategies? Either technical or legal? The ethics of this process is under question and both companies and governments dedicated a lot of time to understand the implications of IoT in the future

Multigene Methylation Analysis And The Noninvasive Diagnosis Of Prostate Cancer From Body Fluids

Introduction During prostatic carcinogenesis, DNA hypermethylation occurs, thus representing a promising biomarker for the early detection of this malignancy. In our study, we aim to determine the usefulness of a molecular and multigene test for prostate cancer. However, this is based on the quantitative methylation-specific polymerase chain reaction (qMSP) of three genes from voided urine specimens by noninvasive methods. Materials and Methods In this study, the voided urine specimens were collected from 89 patients with prostate cancer and 69 controls. Genomic DNA was isolated and subjected to bisulfite modification. Consequently, we tested the methylation status of genomic DNA of three genes, namely: GSTP1, APC, and MDR1. This was done using the quantitative methylationspecific PCR method. Therefore, the obtained results were correlated with the clinicopathologic findings. Results Promoter methylation of GSTP1 gene in voided urine samples was found in 87 out of 89 (97.8%) PCa patients and in 13 out of 62 (21 %) BPH men. In APC gene, methylated levels have been found in 61 out of 89 (68.5%) PCa patients and in 8 out of 62 (12.9%) BPH men. MDR1 gene was found to be hypermethylated in 60 out of 89 (67.4%) PCa patients and in 4 out of 62 (6.5%) BPH men. In addition, we obtained a sensitivity of 88.99% and a specificity of 85.5% for the multigene panel. The AUC in this case was 0.927. Conclusion The analysis of a multigene panel of three methylated genes in prostate cancer by qMSP, can be used to distinguish between men with malignant and benign prostatic diseases from voided urine specimens. Also, it can be used for the follow-up of those men who are presenting increased risk of prostate cancer by noninvasive methods

Reduction of Fe(ii) and Zn(ii) using fresh eichhornia crassipes

The high content of Iron(Fe) and Zinc(Zn) in the wastewater become one of the major problem to the industry because the they will contaminate the environment and furthermore the ecosystem. The ability of Eichhornia Crassipes as a heavy metal removal is investigated in this research. The objective of this research is to remove Fe(II) and Zn(II) from aqueous solution and to investigate the potential of Eichhornia Crassipes for reduction of Fe(II) and Zn(II). The fresh Eichhornia Crassipes is obtained from local lake in Gambang,Pahang. This research was run based on three parameter. These parameter are contact time, adsorbent dosage and pH. The absorbance of each parameter was analyzing using Ultraviolet-visible Spectroscopy. This research was run at various contact times such as 1 day, 2 day, 3 day, 4 day and 5 day. For effect of adsorbent dosage, different amount of adsorbent was use to absorb the heavy metal. This also applies to the effect of pH. Various value of pH in each aqueous solution was used. It was found out that, increasing the contact time will increase the removal Fe(II) and Zn(II) from aqueous solution. Increasing the number of plant also will increase the reduction of Fe(II)and Zn(II). Based on the data acquire, the Fe(II) and Zn(II) can be totally remove. This research also found out that Eichhornia Crassipes can remove Fe(II) from industrial wastewater up to 80 % remova

3D Modeling for Digital Preservation of Romanian Heritage Monuments

AbstractPrecise documentation of cultural heritage monuments status is essential for its protection and scientific studies. The digital preservation of cultural heritage monuments is a specially challenging application of 3D modelling. Cultural heritage objects and sites greatly differ from each other and a maximized fidelity of the 3D model is a core requirement.Terrestrial laser scanning is a technology that in recent years has become increasingly popular for documentation which provides very dense 3D points on an object surface with high accuracy.Moreover the resulting 3D models can be used for digital documentation as well as to perform different analysis such as measurements, conservation monitoring, feature extractions and possibly virtual restoration.Thispaper presents the3D modelling oftwoof the most importantheritage monumentsinRomania: the rock sculpture ofDecebaluson the Danube,Orsovaand the Sphinxfrom Bucegi Mountains, without any loss of details or accuracy