Rough analysis in lattices

An outline of an algebraie generalization of the rough set theory is presented in the paper. It is shown that the majority of the basic concepts of this theory has an immediate algebraic generalization, and that some rough set facts are true in general algebraic structures. The formalism employed is that of lattice theory. New concepts of rough order, approximation space and rough (quantitative) approximation space are introduced and investigated. It is shown that the original Pawlak's theory of rough sets and information systems is a model of this general approach

Rough analysis in lattices.

An outline of an algebraie generalization of the rough set theory is presented in the paper. It is shown that the majority of the basic concepts of this theory has an immediate algebraic generalization, and that some rough set facts are true in general algebraic structures. The formalism employed is that of lattice theory. New concepts of rough order, approximation space and rough (quantitative) approximation space are introduced and investigated. It is shown that the original Pawlak's theory of rough sets and information systems is a model of this general approach.Rough set; Information system; Rough dependenee; Rough lattiee; Approximation spaee;

Senior Recital:Sara Iwinski, Flute

Kemp Recital Hall Friday Evening February 29, 2008 8:30p.m

Senior Recital:Mark Iwinski, Clarinet

Kemp Recital Hall Saturday Evening December 2, 2006 8:00p.m

Dialect and Word Learning: Are Phonological Properties Maintained when Dialectal Influence Changes Word Meaning?

Word learning requires the accurate encoding and decoding of a word’s phonological and semantic properties. Errors in establishing an accurate phonemic-semantic connection can hinder accurate word comprehension and use. Geographical location, culture, and ethnicity can affect the phonology used by a speaker referred to as dialect. African American Vernacular English (AAVE) is one of the most commonly used dialects in the United States. In addition to grammatical changes AAVE is characterized by phonemic changes. The current study sought to determine the effects of AAVE use on the receptive and expressive learning of nonsense words that differ in meaning as noted by a single phonological difference. Four African American children in grades one and two were taught 12 minimal pairs of nonsense words. Three of the four children were identified as non AAVE speakers and one child was identified as an AAVE speaker. Each word in the pair had a specific meaning and each pair differed by a single phonological property reminiscent of AAVE dialect. Four sets of minimal pairs were taught across three consecutive days. Results indicate better performance on receptive measures than on expressive measures across all children. Analysis of error types did not detect a higher percentage of errors due to AAVE between the two groups of children

The Influence of Child Attachment Security on the Relationship Between Feeding Responsiveness and Picky Eating Behavior

Objective At a young age, the caregiver and child create bonds that may influence how responsive they are to each other. The types of feeding practices can be categorized by different levels of responsiveness. Responsiveness may influence if the child interacts with the caregivers and at mealtime. This study aims to assess if attachment moderates the relationship between feeding responsiveness and picky eating behavior. Methods A subsample of participants (n = 110) were examined. Participants received questionnaires when the child was 6 weeks and 18-24 months. At 18-24 months, the families participated in a home visit to videotape a mealtime. Parent feeding responsiveness was coded from the videotaped mealtimes. Child attachment security was assessed using Attachment Behavior Q-Set. Picky eating was assessed with two validated questionnaires, one modeling the variable as dichotomous and one as continuous. Results Multiple regression models were used to assess the relationship between the variables. Using picky eating as a dichotomous and continuous variable, feeding responsiveness and child attachment were both independently associated with picky eating. The higher picky eating scores were associated with lower feeding responsiveness and lower attachment levels. There was also no significant association involving the interaction with all three variables. Conclusions This research shows that picky eating is predicted by parent feeding responsiveness and child attachment. Strategies to reduce picky eating behaviors in early childhood may help childhood development. Attachment with the caregiver is important for picky eating and may affect parents’ responses to children’s satiety cues during the mealtime.National Dairy CouncilThe Gerber FoundationThe Christopher Family FoundationThe U. S. Department of AgricultureThe National Institutes of Health; DK107561The Illinois Association for Infant Mental Health Norton AwardThe U.S. Department of Agriculture for funding provided to the Illinois Transdisciplinary Obesity Prevention ProgramOpe

Hyperlactation - How left-brained \u27rules\u27 for breastfeeding wreak havoc with a natural process

A variety of arbitrary and often unphysiological rules for breastfeeding are frequently suggested to breastfeeding mothers. Many of these rules duplicate strategies commonly used to increase milk supply, and thus, when undertaken by the many women who already have a generous milk supply, can lead to overproduction. Oversupply, or hyperlactation, is a frequent yet often unrecognized problem that can present with a variety of distressing symptoms for the breastfeeding mother and her infant. Infants may present with symptoms suggesting colic, milk protein allergies, or gastroesophageal reflux, or may present with unusually rapid or slow growth. Mothers may present with tender leaking breasts, sore infected nipples, plugged ducts or mastitis, or even the perception of insufficient milk supply. With an understanding of the pathophysiology of these symptoms, proper diagnosis and breastfeeding management can allow milk production to return to homeostatic levels and provide dramatic symptom relief. March 23, 2012: Author’s note 7 years after publication: Over the 7 years since we wrote this manuscript, we continue to see mothers and babies with these same clinical problems, and we are still learning. Here’s a quick look from 2012 at what we wrote in 2005. Specifics can be found in a link at this site soon. During the last 7 years our treatment strategies have become much more simple and flexible since our earlier strategies encouraged too much of the rigid and rule-based left-brained thinking that often causes or contributes to hyperlactation. In this manuscript, we never once mentioned using hands on the breasts as a strategy for preventing or resolving the problems of hyperlactation, and yet in recent years we’ve found this has revolutionized our management approach. We’ve found that when dealing with hyperlactation, pumping can often be counterproductive. Underweight slow weight gain babies are in a category of their own. Regardless of their symptoms, by definition the underweight baby is NOT drinking too much, and in our experience, typical strategies for addressing hyperlactation can be counterproductive or even dangerous. In particular, staying on one side “to get to the hindmilk” doesn’t work with these sleepy, flow-dependent babies. Side switching may be helpful, but is rarely sufficient, and medical attention is critical. While hyperlactation appears to be increasingly recognized by lactation professionals, left-brained strategies abound, and resolution is often elusive, even by those who correctly identify it. Much more research is needed in all of these areas, as well as in several interesting and related areas discussed in our longer note. Finally, the thoughts and suggestions given here cannot replace appropriate medical attention by a physician or other medical provider. We do not encourage self-treatment, particularly when symptoms are severe. Readers seeking lactation support can locate an International Board Certified Lactation Consultant (IBCLC) in their geographic area at www.ilca.org “Find a Lactation Consultant” http://www.ilca.org/i4a/pages/index.cfm?pageid=343

Existence of Bound States in Continuous 0<D<\infty Dimensions

In modern fundamental theories there is consideration of higher dimensions, often in the context of what can be written as a Schr\"odinger equation. Thus, the energetics of bound states in different dimensions is of interest. By considering the quantum square well in continuous $D$ dimensions, it is shown that there is always a bound state for $0<D \le 2$. This binding is complete for D \to 0 and exponentially small for D \to 2_-. For D>2, a finite-sized well is always needed for there to be a bound state. This size grows like D^2 as D gets large. By adding the proper angular momentum tail a volcano, zero-energy, bound state can be obtained.Comment: 15 pages, 5 figures. Section added on square-well volcanos in arbitrary dimension

The Relativistic Levinson Theorem in Two Dimensions

In the light of the generalized Sturm-Liouville theorem, the Levinson theorem for the Dirac equation in two dimensions is established as a relation between the total number $n_{j}$ of the bound states and the sum of the phase shifts $\eta_{j}(\pm M)$ of the scattering states with the angular momentum $j$: $$\eta_{j}(M)+\eta_{j}(-M)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$$ $$~~~=\left\{\begin{array}{ll} (n_{j}+1)\pi &{\rm when~a~half~bound~state~occurs~at}~E=M ~~{\rm and}~~ j=3/2~{\rm or}~-1/2\\ (n_{j}+1)\pi &{\rm when~a~half~bound~state~occurs~at}~E=-M~~{\rm and}~~ j=1/2~{\rm or}~-3/2\\ n_{j}\pi~&{\rm the~rest~cases} . \end{array} \right.$$ \noindent The critical case, where the Dirac equation has a finite zero-momentum solution, is analyzed in detail. A zero-momentum solution is called a half bound state if its wave function is finite but does not decay fast enough at infinity to be square integrable.Comment: Latex 14 pages, no figure, submitted to Phys.Rev.A; Email: [email protected], [email protected]

Six-minute walking test performance relates to neurocognitive abilities in preschoolers

This study investigated the relationship between six-minute walking test (6MWT) distance walked and preschool-aged children\u27s academic abilities, and behavioral and event-related potentials (ERP) indices of cognitive control. There were 59 children (25 females; age: 5.0 ± 0.6 years) who completed a 6MWT (mean distance: 449.6 ± 82.0 m) to estimate cardiorespiratory fitness. The Woodcock Johnson Early Cognitive and Academic Development Test evaluated academic abilities. A modified Eriksen flanker, hearts and flowers task, and auditory oddball task eliciting ERPs (N2, P3) assessed cognitive control. After adjusting for adiposity, diet, and demographics, linear regressions resulted in positive relationships between 6MWT distance and General Intellectual Ability (β = 0.25, Adj