The Shared Concerns of Nietzsche and Rumi on Humanity

Nietzsche and Rumi belong to two different time and spaces: one a Germen Post-modern Philosopher, the other an Afghani Middle Ages Sufi. After an introduction about both figures and methodology used here, this paper presents a detailed discussion on commonalities between Nietzsche and Rumi. The first section illustrates on the shared methodology of writings which are the rousing language, hidden ideas amid simple points, and the paradoxical teachings. The second part studies the shared fundamental concepts among these philosophers. These concepts are Anti-idolism, the intuitional knowledge, and the authenticity of person. The last section of this paper called “inspirations” explains how those shared methodology and ideas serve two aims: mutual understanding between two different philosophies as well as enhancing our comprehension of humanity

Travelling waves for an epidemic model with non-smooth treatment rates

This is the post-print version of the final published paper that is available from the link below. Copyright @ 2010 IOP Publishing Ltd and SISSA.We consider a susceptible–infected–removed (SIR) epidemic model with two types of nonlinear treatment rates: (i) piecewise linear treatment rate with saturation effect, (ii) piecewise constant treatment rate with a jump (Heaviside function). For case (i), we compute travelling front solutions whose profiles are heteroclinic orbits which connect either the disease-free state to an infective state or two endemic states with each other. For case (ii), it is shown that the profile has the following properties: the number of susceptibles is monotonically increasing and the number of infectives approaches zero at infinity, while their product converges to a constant. Numerical simulations are performed for all these cases. Abnormal behaviour like travelling waves with non-monotonic profile or oscillations is observed

Stability, transition and turbulence

A glimpse is provided of the research program in stability, transition and turbulence based on numerical simulations. This program includes both the so-called abrupt and the restrained transition processes. Attention is confined to the prototype problems of channel flow and the parallel boundary layer in the former category and the Taylor-Couette flow in the latter category. It covers both incompressible flows and supersonic flows. Some representative results are presented

Some recent developments in spectral methods

This paper is solely devoted to spectral iterative methods including spectral multigrid methods. These techniques are explained with reference to simple model problems. Some Navier-Stokes algorithms based on these techniques are mentioned. Results on transition simulation using these algorithms are presented

Qualitative assessment of the role of public health education program on HIV transmission dynamics

© The author 2010. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.This paper presents a nonlinear deterministic model for assessing the impact of public health education campaign on curtailing the spread of the HIV pandemic in a population. Rigorous qualitative analysis of the model reveals that it exhibits the phenomenon of backward bifurcation (BB), where a stable disease-free equilibrium coexists with a stable endemic equilibrium when a certain threshold quantity, known as the 'effective reproduction number' (Reff), is less than unity. The epidemiological implication of BB is that a public health education campaign could fail to effectively control HIV, even when the classical requirement of having the associated reproduction number less than unity is satisfied. Furthermore, an explicit threshold value is derived above which such an education campaign could lead to detrimental outcome (increase disease burden), and below which it would have positive population-level impact (reduce disease burden in the community). It is shown that the BB phenomenon is caused by imperfect efficacy of the public health education program. The model is used to assess the potential impact of some targeted public health education campaigns using data from numerous countries.Kano State Government of Nigeria (N.H.); Natural Science and Engineering Research Council and Mathematics of Information Technology and Complex Systems of Canada (A.B.G.

Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion

This article presents stability analytical results of a two component reaction-diffusion system with linear cross-diffusion posed on continuously evolving domains. First the model system is mapped from a continuously evolving domain to a reference stationary frame resulting in a system of partial differential equations with time-dependent coefficients. Second, by employing appropriately asymptotic theory, we derive and prove cross-diffusion-driven instability conditions for the model system for the case of slow, isotropic domain growth. Our analytical results reveal that unlike the restrictive diffusion-driven instability conditions on stationary domains, in the presence of cross-diffusion coupled with domain evolution, it is no longer necessary to enforce cross nor pure kinetic conditions. The restriction to activator-inhibitor kinetics to induce pattern formation on a growing biological system is no longer a requirement. Reaction-cross-diffusion models with equal diffusion coefficients in the principal components as well as those of the short-range inhibition, long-range activation and activator-activator form can generate patterns only in the presence of cross-diffusion coupled with domain evolution. To confirm our theoretical findings, detailed parameter spaces are exhibited for the special cases of isotropic exponential, linear and logistic growth profiles. In support of our theoretical predictions, we present evolving or moving finite element solutions exhibiting patterns generated by a short-range inhibition, long-range activation reaction-diffusion model with linear cross-diffusion in the presence of domain evolution

Negative Imperfective Verb Form in Kanuri: A Case Study of Nyariwa Kanuribe

This paper examines Negative Imperfect Verb Form in Kanuri text within the framework of descriptive linguistics adopting the works of Cyffer (2009) model of approach in analyzing negation types in Kanuri. In conducting the research, both sources of data collection were employed: the primary source includes a Kanuri written text Nyariwa Kanuribe, where all the various place where the Negations negating the imperfective verb occurred where underlined and extracted from the text for data presentation and analysis. The study also employed the secondary source of data collection where three linguists from the Kanuri section of the department of languages and Linguistics University of Maiduguri, Nigeria were engaged to validate the data collected from the text. The outcome of the study reveals that there are two particle used in negating the imperfective verbs form in the text and study identified these particles are ba and bawo are bound morpheme negating imperfective verbs form in Kanuri. Finally the study identified eighty one instances of the two negation particle with their number of occurrences and their percentages in the text analyzed

Non-linear evolution of a second mode wave in supersonic boundary layers

The nonlinear time evolution of a second mode instability in a Mach 4.5 wall-bounded flow is computed by solving the full compressible, time-dependent Navier-Stokes equations. High accuracy is achieved by using a Fourier-Chebyshev collocation algorithm. Primarily inviscid in nature, second modes are characterized by high frequency and high growth rates compared to first modes. Time evolution of growth rate as a function of distance from the plate suggests this problem is amenable to the Stuart-Watson perturbation theory as generalized by Herbert

Incipient transition phenomena in compressible flows over a flat plate

The full three-dimensional time-dependent compressible Navier-Stokes equations are solved by a Fourier-Chebyshev method to study the stability of compressible flows over a flat plate. After the code is validated in the linear regime, it is applied to study the existence of the secondary instability mechanism in the supersonic regime

The Secular and the Sacred: Complementary And/or Conflictual?

The issue of the relation of the sacred to the secular has become paramount in virtually every country in the world. From church-state relations in the US, with the debates around abortion and same-sex marriage, to the vitriolic discussions in France over the veil (hijab) sacred-secular, faith-reason, transcendence-imminence -- impacts every aspect of personal, social, and political life. Indeed, the questions often asked are whether Huntington s, Clash of Civilizations is today s reality? Is clash and conflict inevitable? This volume collects papers from scholars from all around the globe and digs into that question. Do the sacred and the secular necessarily end in conflict? Building on scholars such as Charles Taylor, Hans-Georg Gadamer, Jurgen Habermaus, and John Rawls, as well as the world s great religious traditions, the authors assembled here respond with a nuanced, but resounding, NO. A deeper read demands the possibility, indeed, necessity, of complementarity. It has become ever more urgent to discover the proper and complementary relation between the two so that both can be promoted through mutual collaboration. The deeper implications of the discussion can be perceived in many current global problems: cultural identity, multiculturalism, pluralism, nationalism, economic inequality, race, terrorism, migration, public education, and climate change. The volume unfolds in seven sections: Foundations; Sacred and Secular; Complement or Conflict; Hermeneutics; African traditions; South Asian Traditions; Chinese Traditions; and Islamic Traditions. It is fascinating to observe how the various authors grapple with unfolding the relation of sacred/secular, faith/reason, church-mosque/state, transcendence/imminence. The section on Islam illustrates this. These chapters deal with the thorny, usually misunderstood debate between the scholars and those, westerners refer to as fundamentalists or radicals. In the latter, there is no space left to reason, interpretation, or historical criticism. This ugly divide usually emerges in the hot-button issues like the treatment of women and religion-related terrorism. However, these oversimplifications betray the intellectual roots of Islamic tradition. Here the argument is advanced that there are common and multiple meanings of rationality in the Islamic primary sources and that doctrine, the Qur an, and the Sunnah, open considerable space for the rational and the secular in Islamic teachings. Unknown to most in the West, the grappling within Islam goes on. Moreover, the grappling seems to be heating up in all traditions. We are all called to the discussion. Our globe needs it