Functional Kuppinger-Durisi-B\"{o}lcskei Uncertainty Principle

Let $\mathcal{X}$ be a Banach space. Let $\{\tau_j\}_{j=1}^n, \{\omega_k\}_{k=1}^m\subseteq \mathcal{X}$ and $\{f_j\}_{j=1}^n$, $\{g_k\}_{k=1}^m\subseteq \mathcal{X}^*$ satisfy $|f_j(\tau_j)|\geq 1$ for all $1\leq j \leq n$, $|g_k(\omega_k)|\geq 1$ for all $1\leq k \leq m$. If $x \in \mathcal{X}\setminus \{0\}$ is such that $x=\theta_\tau\theta_f x=\theta_\omega\theta_g x$, then we show that \begin{align}\label{FKDB} (1) \quad\quad\quad\quad \|\theta_fx\|_0\|\theta_gx\|_0\geq \frac{\bigg[1-(\|\theta_fx\|_0-1)\max\limits_{1\leq j,r \leq n,j\neq r}|f_j(\tau_r)|\bigg]^+\bigg[1-(\|\theta_g x\|_0-1)\max\limits_{1\leq k,s \leq m,k\neq s}|g_k(\omega_s)|\bigg]^+}{\left(\displaystyle\max_{1\leq j \leq n, 1\leq k \leq m}|f_j(\omega_k)|\right)\left(\displaystyle\max_{1\leq j \leq n, 1\leq k \leq m}|g_k(\tau_j)|\right)}. \end{align} We call Inequality (1) as \textbf{Functional Kuppinger-Durisi-B\"{o}lcskei Uncertainty Principle}. Inequality (1) improves the uncertainty principle obtained by Kuppinger, Durisi and B\"{o}lcskei \textit{[IEEE Trans. Inform. Theory (2012)]} (which improved the Donoho-Stark-Elad-Bruckstein uncertainty principle \textit{[SIAM J. Appl. Math. (1989), IEEE Trans. Inform. Theory (2002)]}). We also derive functional form of the uncertainity principle obtained by Studer, Kuppinger, Pope and B\"{o}lcskei \textit{[EEE Trans. Inform. Theory (2012)]}.Comment: 9 Pages, 0 Figure

Synthesis and Antibacterial Activity of N,N-Diethylamide Bearing Benzenesulfonamide Derivatives

Sulfonamides are known to represent a class of medicinally important compounds which are extensively used as antibacterial agents. Hence, a series of new N,N-diethyl amide bearing sulfonamides (2a-k) were synthesized via amidation of easily prepared benzenesulfonamide precursors (1a-k). The chemical structures of all synthesized compounds were substantiated using spectroscopic means such as IR, Mass spectra and 1H-NMR as well as analytical data. The antimicrobial activity of these compounds along with streptomycin, was investigated on Escherichia coli and Staphylococcus aureus. The results showed that this skeletal framework exhibited marked potency as antibacterial agents. The most active antibacterial agent against both targeted organisms was N,Ndiethyl-1-(phenylsulfonyl) piperidine-2-carboxamide (2b)

Modelling very large complex systems using distributed simulation: A pilot study in a healthcare setting

Modern manufacturing supply chains are hugely complex and like all stochastic systems, can benefit from simulation. Unfortunately supply chain systems often result in massively large and complicated models, which even today’s powerful computers cannot run efficiently. This paper presents one possible solution - distributed simulation. This pilot study is implemented in a healthcare setting, the supply chain of blood from donor to recipient

Time-Varying Risk Aversion and the Profitability of Carry Trades: Evidence from the Cross-Quantilogram

open access articleThis paper examines the predictive power of time-varying risk aversion over payoffs to the carry trade strategy via the cross-quantilogram methodology. Our analysis yields significant evidence of directional predictability from risk aversion to daily carry trade returns tracked by the Deutsche Bank G10 Currency Future Harvest Total Return Index. The predictive power of risk aversion is found to be stronger during periods of moderate to high risk aversion and largely concentrated on extreme fluctuations in carry trade returns. While large crashes in carry trade returns are associated with significant rises in investors’ risk aversion, we also found that booms in carry trade returns can be predicted at high quantiles of risk aversion. The results highlight the predictive role of extreme investor sentiment in currency markets and regime specific patterns in carry trade returns that can be captured via quantile-based predictive models

State-community synergies in development : laying the basis for collective action

If states would interact more synergistically with communities, they could tap local energies and resources for development-- and help create a development-oriented society and polity in the process. The authors analyze experience in several countries to identify the actions required for state-community synergies in development. Two actions that seem especially important: 1) Broadening the distribution of power within communities, to facilitate collective action and reduce the potential for local capture. In rural areas, much can be done by expanding access to credit, strengthening tenants'rights, and expanding non-crop sources of income. 2) Creating state-community alliances toimprove the effectiveness of local public sector institutions and the delivery of services. Case studies from East Asia and Latin America show that such alliances can effect rapid improvements in local institutions, benefiting not only communities but also politicians seeking support and legitimacy. Local bureaucratic reform, combined with more egalitarian community social organizations, allows the creation of powerful coalitions and synergies for rapid, self-sustaining development. This model has been used to achieve outcomes ranging from better health care and drought relief to the generation of agrarian and industrial economic growth. In China and Taiwan, China, these state-community synergies helped produce not only for local consumption but for a rich export market. The cases show that with creative political thinking it is possible to effect rapid change even in poor institutional settings. The Brazilian experience shows how difficult institutional change is in highly inegalitarian settings, but also how such obstacles can be overcome by changes designed to bring grassroots electoral pressure to bear on local government. Experience elsewhere shows, however, how fragile such efforts can be if political support from above is prematurely withdrawn.Health Economics&Finance,Environmental Economics&Policies,Decentralization,Banks&Banking Reform,Agricultural Knowledge&Information Systems,Environmental Economics&Policies,Health Economics&Finance,Poverty Assessment,Governance Indicators,Agricultural Knowledge&Information Systems

The effects of the lack of coordination within the supply chain

The present article refers to the bullwhip effect that negatively influences the supply chain performance. This effect is experienced by various industries, from fast moving consumer goods to IT products. The consequences for the supply chain members are the following: increased costs, lower profitability, longer lead times and lower product availability. The main factors that generate this effect are the types of incentives provided by suppliers to the downstream customers, the information distortion, the order placing practices, the pricing policies encouraging the forward buying and the specific behavior of the supply chain members focused on local optimization. The only way in which supply chain members may eradicate the bullwhip effect is to enhance coordination among the subsequent stages. Some of the strategies to be considered are the alignment of goals and objectives, data sharing among members, single stage control of replenishment, strategies for the improvement of the operational performance, stabilizing orders with appropriate pricing strategies and building strategic partnerships and trust. The incidence and amplitude of the bullwhip effect may be reduced by strategies and decisions that are harmonized along the stages of the supply chain. The key words in the endeavor to diminish the bullwhip effect are cooperation, coordination, communication and trust.bullwhip effect, logistics, supply chain, coordination, information distortion