Untwisting information from Heegaard Floer homology

The unknotting number of a knot is the minimum number of crossings one must change to turn that knot into the unknot. We work with a generalization of unknotting number due to Mathieu-Domergue, which we call the untwisting number. The p-untwisting number is the minimum number (over all diagrams of a knot) of full twists on at most 2p strands of a knot, with half of the strands oriented in each direction, necessary to transform that knot into the unknot. In previous work, we showed that the unknotting and untwisting numbers can be arbitrarily different. In this paper, we show that a common route for obstructing low unknotting number, the Montesinos trick, does not generalize to the untwisting number. However, we use a different approach to get conditions on the Heegaard Floer correction terms of the branched double cover of a knot with untwisting number one. This allows us to obstruct several 10 and 11-crossing knots from being unknotted by a single positive or negative twist. We also use the Ozsv\'ath-Szab\'o tau invariant and the Rasmussen s invariant to differentiate between the p- and q-untwisting numbers for certain p,q > 1.Comment: 21 pages, 11 figures; final version, accepted for publication in Algebraic & Geometric Topolog

Postoperative Pain After The Use Of A Dexamethasone Rinse As An Irrigant Prior To Obturation

Purpose: The purpose of this randomized, double-blind pilot study was to determine the effect of dexamethasone on post-operative pain when used as an intracanal rinse prior to obturation. Materials and Methods: Nine adult volunteers consented to enroll. They presented to the Marquette University School of Dentistry Endodontic Department with a diagnosis of irreversible pulpitis. Patients recorded their baseline pain levels on the numering rating scale (NRS). Patients were randomly assigned to either experimental or control group. Patients in the experimental group received 4 mg/mL dexamethasone solution as a final rinse prior to obturation were as patients in the control group received saline as a final rinse. Patients recorded their pain levels at 3, 6, 12, 24, and 48 hours post-operatively. Means and standard deviations were calculated. Treatment effects were analyzed using repeated measures ANOVA. Statistical significance was set at p\u3c.05. Results: Eight patients returned the participation forms. Pain reduction after endodontic treatment was statistically significant (p=0.039). There was no significant difference in post-operative pain between the control and experimental groups (p-0.789). Conclusion: The patient sample size was not large enough to state any conclusions with confidence. However, endodontic treatment remains an effective means of reducing post-operative pain

Intellectual Capital and Revitalizing Manufacturing

In December 2009, the White House released a paper outlining their manufacturing policy, A Framework for Revitalizing American Manufacturing. The Framework makes an excellent case that the federal government has a strong role to play in reinvigorating this important sector of the U.S. economy. It outlines the challenges facing manufacturing while describing the opportunities in new product areas. However, the ongoing transformation in manufacturing to a knowledge-intensive activity will require attention to all the inputs to the production process -- technology, worker skills, and organizational structures. The Framework recognizes that the nature of the economy has changed and implicitly accepts this basic premise. "Intellectual capital, such as patents from research and development as well as managerial know-how," the document states, "is a vital component in determining costs, growth rates and the creation of new industries." But while patents and managerial know-how are important components, a successful manufacturing framework must embrace the full range of intellectual capital and intangible assets. This Policy Brief makes a number of recommendations to directly incorporate intellectual capital into a manufacturing strategy and best position the United States for accelerated job, productivity, and economic growth in the coming year

Enjoyable Vocabulary Teaching and Learning with Cultural Differences

Language learners have to learn sufficient quantity of words to communicate by using the target language, but learning vocabulary is not easy at all. It is essential that learners motivate themselves and pay a lot of attention to the words. This can be done by comparing cultural differences in a context or using the words in sentences, the meanings of which reveal different application of cultural values. For culture is what shapes our behaviour in life, they represent the way we are. So that utterances, statements, sentences which have something to do with our culture or foreign cultures are very likely to attract our attention and motivate us. In fact, by speaking about cultural differences, we give life to vocabulary in class settings. Students are able to learn the meanings of words by actually living them. So that it is not only learning some words but also dealing with different understandings and applications of life as well. These differences can be acted out, discussed, written, or drawn. In any case, students find themselves in an atmosphere where learning is not dull and boring, but pleasant and enjoyable.vocabulary, cultural differences, multiculturalism, ELT methods, EFL, ESL.

Knowledge Management As an Economic Development Strategy

The United States is shifting to an information economy. Productive capability is no longer completely dependent on capital and equipment; information and knowledge assets are increasingly important. The result is a new challenge to the practice of local economic development. In this information economy, success comes from harnessing the information and knowledge assets of a community and from helping local businesses succeed in the new environment. Knowledge Management (KM) can provide the tools to help economic development practitioners accomplish that task. KM is a set of techniques and tools to uncover and utilize information and knowledge assets -- especially tacit knowledge. Economic development organizations can use KM tools to enhance external communications of local companies including marketing and to promote internal communications within local businesses and help companies capture tacit knowledge. More importantly, they can use those tools to uncover and develop local intellectual assets, including helping develop information products, and helping identify entrepreneurial and business opportunities. KM tools are also useful in developing local economic clusters. Finally, these tools can be used to enhance external knowledge sharing among the economic development community and to capture and share tacit knowledge within an economic development organization