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Search Results: 1 - 10 of 224436 matches for " R. Rimányi "
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Thom series of contact singularities
L. M. Fehér,R. Rimányi
Mathematics , 2008,
Abstract: Thom polynomials measure how global topology forces singularities. The power of Thom polynomials predestine them to be a useful tool not only in differential topology, but also in algebraic geometry (enumerative geometry, moduli spaces) and algebraic combinatorics. The main obstacle of their widespread application is that only a few, sporadic Thom polynomials have been known explicitly. In this paper we develop a general method for calculating Thom polynomials of contact singularities. Along the way, relations with the equivariant geometry of (punctual, local) Hilbert schemes, and with iterated residue identities are revealed.
Conformal blocks and equivariant cohomology
R. Rimányi,V. Schechtman,A. Varchenko
Physics , 2010,
Abstract: We show that the conformal blocks constructed in the previous article by the first and the third author may be described as certain integrals in equivariant cohomology. When the bundles of conformal blocks have rank one, this construction may be compared with the old integral formulas of the second and the third author. The proportionality coefficients are some Selberg type integrals which are computed. Finally, a geometric construction of the tensor products of vector representations of the Lie algebra $\frak{gl}(m)$ is proposed.
Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral
R. Rimányi,V. Tarasov,A. Varchenko,P. Zinn-Justin
Mathematics , 2011, DOI: 10.1016/j.geomphys.2012.06.008
Abstract: We consider the tensor power $V=(C^N)^{\otimes n}$ of the vector representation of $gl_N$ and its weight decomposition $V=\oplus_{\lambda=(\lambda_1,...,\lambda_N)}V[\lambda]$. For $\lambda = (\lambda_1 \geq ... \geq \lambda_N)$, the trivial bundle $V[\lambda]\times \C^n\to\C^n$ has a subbundle of q-conformal blocks at level l, where $l = \lambda_1-\lambda_N$ if $\lambda_1-\lambda_N> 0$ and l=1 if $\lambda_1-\lambda_N=0$. We construct a polynomial section $I_\lambda(z_1,...,z_n,h)$ of the subbundle. The section is the main object of the paper. We identify the section with the generating function $J_\lambda(z_1,...,z_n,h)$ of the extended Joseph polynomials of orbital varieties, defined in [DFZJ05,KZJ09]. For l=1, we show that the subbundle of q-conformal blocks has rank 1 and $I_\lambda(z_1,...,z_n,h)$ is flat with respect to the quantum Knizhnik-Zamolodchikov discrete connection. For N=2 and l=1, we represent our polynomial as a multidimensional q-hypergeometric integral and obtain a q-Selberg type identity, which says that the integral is an explicit polynomial.
Hall effect of triplons in a dimerized quantum magnet
Judit Romhányi,Karlo Penc,R. Ganesh
Physics , 2014, DOI: 10.1038/ncomms7805
Abstract: The celebrated Shastry Sutherland model has a gapped dimer singlet ground state. The material SrCu$_2$(BO$_3$)$_2$ serves as a good realization of this model, upto small anisotropies arising from Dzyaloshinskii-Moriya (DM) interactions. The DM interactions admix a triplet component into the singlet ground state and give rise to weakly dispersing triplon bands. We show that an applied magnetic field splits the triplon modes and opens band gaps. Surprisingly, we are left with topological bands with Chern numbers $\pm 2$. SrCu$_2$(BO$_3$)$_2$ thus supports topologically protected triplonic edge modes and is a magnetic analogue of the integer quantum Hall effect. At a critical value of the magnetic field set by the strength of DM interactions, the three triplon bands touch once again in a spin-1 generalization of a Dirac cone, and lose their topological character. We predict a strong thermal Hall signature in the topological regime.
Oxidative DNA damages by chemical exposures at work  [PDF]
Kyung-Taek Rim
Advances in Bioscience and Biotechnology (ABB) , 2012, DOI: 10.4236/abb.2012.327118
Abstract: Oxidative DNA damage is an inevitable consequence of cellular metabolism, with a propensity for increased levels following toxic insult. Of the molecules subject to oxidative modification, DNA has received the greatest attention, with biomarkers of exposure and effect closest to validation. There are many chemicals in workplaces that could cause oxidative DNA damages such as carcinogens. This review concentrated on studies published between the years 2000 and 2012 that used to detect 8-oxodG in humans (workers), laboratory animals and in cell lines. Given the recent toxicological results from oxidative stress, it is important to review these studies to improve the current understanding of the oxidative DNA damages by chemical exposures at work. It also suggests that biomarkers may be responsible for understanding the role of oxidative DNA damage in disease, highlighting the need for further studies.
Physico-Chemical and Biological Characteristics of Stagnant Surface Water Bodies (Ponds and Lakes) Used for Drinking and Domestic Purposes in Niger Delta, Nigeria  [PDF]
Akpofure Rim-Rukeh
Journal of Environmental Protection (JEP) , 2013, DOI: 10.4236/jep.2013.49106

The surface water quality of some stagnant water bodies (ponds and lakesObi Lake, Usede pond, Oguta lake, Omuku pond, Ugheghe pond, Karabodone lake, Abua lake, Ikarama lake, Tenmako lake, and Adiegbe lake) in the Niger Delta area of Nigeria have been investigated experimentally by analysing the physico-chemical and biological characteristics of the surface water samples. Results show: pH (5.10 - 7.40), temperature (26.4°C - 31.0°C), turbidity (7.83 - 27.7NTU), electrical conductivity (13.5 - 34.8 μS/cm), biochemical oxygen demand (BOD) (1.07 - 19.5 mg/l), chemical oxygen demand (COD) (1.90 - 21.5 mg/l), suspended solids (SS) (9.70 - 37.3 mg/l), dissolved oxygen (DO) (2.7 - 8.7 mg/l), total dissolved solids (TDS) (33.8 - 187.0 mg/l), total phosphorus (0.73 - 2.47 mg/l), ammoniacal nitrogen (AN) (0.018 - 4.70 mg/l) and total fecal coliform count (TFCC) (nil

An Assessment of the Contribution of Municipal Solid Waste Dump Sites Fire to Atmospheric Pollution  [PDF]
Akpofure Rim-Rukeh
Open Journal of Air Pollution (OJAP) , 2014, DOI: 10.4236/ojap.2014.33006

Municipal solid waste open dump site operation is an important element of waste management in Nigeria, both today and in the future. Dump site fires are common occurrences in the study area. The contribution of municipal solid waste dump site fires to atmospheric pollution in the Niger Delta, Nigeria has been assessed experimentally. Five (5) municipal solid waste dump sites where fire incidence is a frequent and regular occurrence were chosen for the study. At each of the identified municipal solid waste dump site, eight (8) air quality monitoring parameters, suspended particulate matter (SPM10), nitrogen dioxide (NO2), carbon dioxide (CO2), carbon monoxide (CO), sulphur dioxide (SO2), methane (CH4), ammonia (NH3) and Hydrogen sulphide (H2S) were determined using a series of hand held air quality monitoring equipment. Results indicate the levels of SPM ranged between 773 and 801 μg/m3 and the levels of CO ranged between 133.7 and 141.6 ppm. The levels of CO

Oil Spill Management in Nigeria: SWOT Analysis of the Joint Investigation Visit (JIV) Process  [PDF]
Akpofure Rim-Rukeh
Journal of Environmental Protection (JEP) , 2015, DOI: 10.4236/jep.2015.63026
Abstract: The Joint Investigation Visit (JIV) process of the National Oil Spill Detection and Response Agency (NOSDRA) have been analysed using the Strength, Weakness, Opportunity and Threat (SWOT) methodology. The oil spill Joint Investigation Visit (JIV) is empowered by the Oil Spill Recovery, Clean-up, Remediation and Damage Assessment Reulations, 2011 Section 5. The strength of the JIV process lies within its participatory nature and the well defined legal structure of the process. The oil spill Joint Investigation Visit process in Nigeria has several weaknesseslack of independence and oversight, lack of technical competence on the part of regulatory bodies, lack of technical competence on the part of community representative, lack of transparency on the part of oil companies, lack of general procedure for determining the actual cause of spill, lack of general procedure for determining the actual volume of oil spilled, determination on the size of the impacted area and exclusion of women from the JIV Process. The JIV process for oil spill presents a number of opportunities such as; increasing community awareness, growing consciousness through Non Governmental Organisations (NGOs) and capacity building of stakeholders. Possible threats to the JIV process include; poor governance and corruption, manipulation of the Process by the spiller through the start date of an o
How to Evaluate Interactions during a Debate of Ideas  [PDF]
Zeineb Zerai, Rim Mekni
Creative Education (CE) , 2017, DOI: 10.4236/ce.2017.84042
Abstract: The idea of a debate of ideas is part of an innovative conception of the teaching/learning system at school, in which knowledge is developed with the help of peers and the teacher. The debate of ideas first appears as a situation of verbalization about action intended to make aware of the task to be carried out and the instructions that characterize it. To evaluate its effects, we will take data from the experimentation of Zerai (2009) and give us a triangulation between the result and the score of the encounters, quantitative data (balls played, balls conquered, etc.) and a qualitative data: the roadmap. We will try to test the contributions of peer interactions. The methodology used was to observe and retrieve data on a group of Tunisian second-year girls from Thala Secondary High School in a handball cycle. In this group of twenty girls, we organized four sub-groups to form the teams. The chosen triangulation allows an indirect measure of the effectiveness of the debate of ideas. The performance of the team (the ratio of shots to the number of goals) appears very quickly as a trigger for concertation between the players. The observation made collectively on the losses of the ball will also, very quickly generate reactions. The roadmap relies more on the planned strategy and the changes of roles within the team that it implies. In conclusion, comparing the selected indicators provides a realistic way of assessing the adequacy between interactions and progress in the game. This type of work emphasizes the time needed to succeed. One of the achievements of the research in didactics of collective sports at school is that the learning of a game can not be conceived without an important practice. For pupils, a real learning in collective sports games lies, in situations of problem gambling, to observe, to extract, to evaluate the information more and more relevant to reduce the time of analysis, and thus of decision to act on the opposition reports.
Infinite Freedom of Space-Time for Zero-Energy-Entity in Quantum Mechanics  [PDF]
Chun T. Rim
Journal of Modern Physics (JMP) , 2018, DOI: 10.4236/jmp.2018.94036
Abstract: Zero-energy state is investigated by taking infinitesimal energy and observing its uncertainty in space-time, adopting quantum mechanics. In this paper, the uncertainty in conventional quantum mechanics is found to be interpreted as freedom in space-time, which results in possibility of time travel and space transition of the zero-energy state, which could be information or mind. The wave function of a physical system composed of multiple particles or wave-packets is examined and found that it can be arbitrarily changed by grouping by observers. It leads to an idea that even infinitesimal energy or wave-packets in a heavy physical system may separately exist and it has the infinite freedom of space-time.
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