Balanced Symmetric Functions over GF(p)GF(p)

Under mild conditions on $n,p$, we give a lower bound on the number of $n$-variable balanced symmetric polynomials over finite fields $GF(p)$, where $p$ is a prime number. The existence of nonlinear balanced symmetric polynomials is an immediate corollary of this bound. Furthermore, we conjecture that $X(2^t,2^{t+1}l-1)$ are the only nonlinear balanced elementary symmetric polynomials over GF(2), where $X(d,n)=\sum_{i_1<i_2<...<i_d}x_{i_1} x_{i_2}... x_{i_d}$, and we prove various results in support of this conjecture.Comment: 21 page

The Cost of Routine Follow-Up in Total Joint Arthroplasty and the Influence of These Visits on Treatment Plans

Introduction. Many physicians recommend annual or biennial visitsafter total hip and knee arthroplasty (THA and TKA). This studysought to establish the cost of a post-operative visit to both the healthcare system and patient and identify if these visits altered patientmanagement. Methods. A prospective cohort study was conducted using patientspresenting for follow-up after THA or TKA from April throughDecember 2016. All surgeries were performed by a single orthopaedicsurgeon in Wichita, Kansas. All eligible subjects that met the inclusioncriteria received and completed a questionnaire about the personalcost of the visit and their assessment of their function and outcomeafter total joint arthroplasty. The physician also completed a questionnairethat examined the cost of the visit to the health care systemand whether the clinical or radiographic findings altered patient management. Results. Fifty-six patients participated with an average length of follow-up of 4.5 ± 4.1 years since surgery. The average patient cost was$135.20 ±$190.53 (range, $1.65 -$995.88), and the average visit timefor the patient was 3.9 ± 2.9 hours. Eighty percent of patients reportedno pain during the clinic encounter, and 11% reported loss of function.Eighty-four percent thought the visit was necessary. Physician timefor each visit lasted 12.9 ± 3.7 minutes (range, 10 - 20 minutes). Only9% of patient encounters resulted in an alteration in patient management.This occurred at an average follow-up time of 3.6 ± 1.8 yearsafter the index procedure. The average cost of each visit to the healthcare system at large was $117.31 ± 60.53 (range,$93.90 - $428.28). Conclusions. The findings of this study advise total joint patients andorthopaedic surgeons regarding the cost of routine post-operativeappointments and whether these visits alter patient management.The majority of the routine follow-up visits after THA and TKA didnot result in an alteration in patient management, but added substantialcost to the health care system. Kans J Med 2018;11(3):59-66

Midwest Evaluation of the Adult Functioning of Former Foster Youth

The Midwest Evaluation of the Adult Functioning of Former Foster Youth (Midwest Study) is a prospective study that has been following a sample of young people from Iowa, Wisconsin, and Illinois as they transition out of foster care into adulthood. It is a collaborative effort involving Chapin Hall at the University of Chicago; Partners for Our Children at the University of Washington, Seattle; the University of Wisconsin Survey Center; and the public child welfare agencies in Illinois, Iowa, and Wisconsin.The Midwest Study provides a comprehensive picture of how foster youth are faring during this transition since the Foster Care Independence Act of 1999 became law. Foster youth in Iowa, Wisconsin, and Illinois were eligible to participate in the study if they had entered care before their 16th birthday, were still in care at age 17, and had been removed from home for reasons other than delinquency. Baseline survey data were collected from 732 study participants when they were 17 or 18 years old. Study participants were re-interviewed at ages 19 (n = 603), 21 (n = 591), and 23 or 24 (n = 602). A fifth wave of survey data will be collected when study participants are 25 or 26 years old.Because many of the questions Midwest Study participants were also asked as part of the National Longitudinal Study of Adolescent Health, it is possible to make comparisons between this sample of former foster youth and a nationally representative sample of young people in the general population. These comparisons indicate that young people who have aged out of foster care are faring poorly as a group relative to their peers across a variety of domains.The Midwest Study also presents a unique opportunity to compare the outcomes of young people from one state (i.e., Illinois) that allows foster youth to remain in care until their 21st birthday to the outcomes of young people from two other states (i.e., Iowa and Wisconsin) in which foster youth generally age out when they are 18 years old. The data suggest that extending foster care until age 21 may be associated with better outcomes, at least in some domains

Midwest Evaluation of the Adult Functioning of Former Foster Youth: outcomes at age 21

The Midwest Evaluation of the Adult Functioning of Former Foster Youth (Midwest Study) is a longitudinal study that has been following a sample of young people from Iowa, Wisconsin, and Illinois as they transition out of foster care into adulthood. It is a collaborative effort involving Chapin Hall at the University of Chicago; the University of Wisconsin Survey Center; and the public child welfare agencies in Illinois, Iowa, and Wisconsin. This report concentrates on the outcomes of 21 year old youth as they age out of the child welfare system and transition to adulthood