A Logical Symbolism for Proof in Elementary Geometry

1953 ◽  
Vol 46 (4) ◽  
pp. 246-252
Author(s):  
Wallace Manheimer
Keyword(s):  
Network Design ◽  
Electrical Network ◽  
Symbolic Logic ◽  
Elementary Geometry ◽  
Full Time ◽  
Brain Physiology ◽  
Mathematical Thought ◽  
Geometric Diagram

The pupil who draws dashes through lines or angles in a geometric diagram to denote equality by hypothesis is taking advantage of an elementary logical symbolism. Ever since the days of Boole and Frege such symbolisms have become increasingly important in representing and furthering mathematical thought. Present day symbolic logic, which is an outgrowth of the methods of logical symbolism, has begun to revolutionize such diverse fields as the design of mathematical instruments, insurance analysis, brain physiology, and electrical network design. The study of symbolic logic at present occupies the full time research of at least two hundred creative mathematicians in our universities and industrial laboratories.

Parabolic Differential-Algebraic Models in Electrical Network Design

2005 ◽  
Vol 4 (3) ◽  
pp. 813-838 ◽  
Author(s):  
Giuseppe Alì ◽  
Andreas Bartel ◽  
Michael Günther
Keyword(s):  
Network Design ◽  
Electrical Network ◽  
Algebraic Models

Interval-Based Dynamic Discretization Discovery for Solving the Continuous-Time Service Network Design Problem

2020 ◽  
Author(s):  
Luke Marshall ◽  
Natashia Boland ◽  
Martin Savelsbergh ◽  
Mike Hewitt
Keyword(s):  
Network Design ◽  
Continuous Time ◽  
Design Problem ◽  
Network Models ◽  
Network Design Problem ◽  
Full Time ◽  
Service Network ◽  
Time Service ◽  
Service Network Design ◽  
Time Expanded Network

We introduce an effective and efficient iterative algorithm for solving the continuous-time service network design problem. The algorithm achieves its efficiency by carefully and dynamically refining partially time-expanded network models so that only a small number of small integer programs, defined over these networks, need to be solved. An extensive computational study shows that the algorithm performs well in practice, often using time-expanded network models with size much less than 1% (in terms of number of variables and constraints) of a full time-expanded network model. The algorithm is inspired by and has many similarities to the dynamic discretization discovery algorithm introduced in Boland et al. [Boland N, Hewitt M, Marshall L, Savelsbergh M (2017) The continuous-time service network design problem. Oper. Res. 65(5):1303–1321.], but generates smaller partially time-expanded models, produces high-quality solutions more quickly, and converges more quickly.

Age at Full-Time Use Predicts Language Outcomes Better Than Age of Surgery in Children Who Use Cochlear Implants

2019 ◽  
Vol 28 (4) ◽  
pp. 986-992 ◽  
Author(s):  
Lisa R. Park ◽  
Erika B. Gagnon ◽  
Erin Thompson ◽  
Kevin D. Brown
Keyword(s):  
Cochlear Implants ◽  
Time Use ◽  
Expressive Language ◽  
Normal Hearing ◽  
Full Time ◽  
Language Outcomes ◽  
Age At Surgery ◽  
Device Placement ◽  
Device Use ◽  
Better Than

Purpose The aims of this study were to (a) determine a metric for describing full-time use (FTU), (b) establish whether age at FTU in children with cochlear implants (CIs) predicts language at 3 years of age better than age at surgery, and (c) describe the extent of FTU and length of time it took to establish FTU in this population. Method This retrospective analysis examined receptive and expressive language outcomes at 3 years of age for 40 children with CIs. Multiple linear regression analyses were run with age at surgery and age at FTU as predictor variables. FTU definitions included 8 hr of device use and 80% of average waking hours for a typically developing child. Descriptive statistics were used to describe the establishment and degree of FTU. Results Although 8 hr of daily wear is typically considered FTU in the literature, the 80% hearing hours percentage metric accounts for more variability in outcomes. For both receptive and expressive language, age at FTU was found to be a better predictor of outcomes than age at surgery. It took an average of 17 months for children in this cohort to establish FTU, and only 52.5% reached this milestone by the time they were 3 years old. Conclusions Children with normal hearing can access spoken language whenever they are awake, and the amount of time young children are awake increases with age. A metric that incorporates the percentage of time that children with CIs have access to sound as compared to their same-aged peers with normal hearing accounts for more variability in outcomes than using an arbitrary number of hours. Although early FTU is not possible without surgery occurring at a young age, device placement does not guarantee use and does not predict language outcomes as well as age at FTU.

Exploring Barriers to Doctoral Education in Communication Sciences and Disorders: Insights From Practicing Professionals

2020 ◽  
Vol 5 (6) ◽  
pp. 1552-1563
Author(s):  
Denise A. Tucker ◽  
Mary V. Compton ◽  
Sarah J. Allen ◽  
Robert Mayo ◽  
Celia Hooper ◽  
...  
Keyword(s):  
Doctoral Students ◽  
Online Survey ◽  
Academic Research ◽  
Doctoral Degree ◽  
Full Time ◽  
Doctoral Study ◽  
Doctoral Research ◽  
Part Time ◽  
Advance Research ◽  
Doctor Of Philosophy

Purpose The intended purpose of this research note is to share the findings of a needs assessment online survey of speech and hearing professionals practicing in North Carolina to explore their interest in pursuing a research-focused PhD in Communication Sciences and Disorders (CSD) and to document their perceptions of barriers to pursing a PhD in CSD. In view of the well-documented shortage of doctor of philosophy (PhD) faculty to attract, retain, and mentor doctoral students to advance research and to prepare future speech and hearing professionals, CSD faculty must assess the needs, perceptions, and barriers prospective students encounter when considering pursuing a doctoral research degree in CSD. Method The article describes the results of a survey of 242 speech and hearing professionals to investigate their interest in obtaining an academic research-focused PhD in CSD and to solicit their perceived barriers to pursuing a research doctoral degree in CSD. Results Two thirds of the respondents (63.6%) reported that they had considered pursuing a PhD in CSD. Desire for knowledge, desire to teach, and work advancement were the top reasons given for pursuing a PhD in CSD. Eighty-two percent of respondents had no interest in traditional full-time study. Forty-two percent of respondents indicated that they would be interested in part-time and distance doctoral study. The barriers of time, distance, and money emerged as those most frequently identified barriers by respondents. Conclusion The implications inform higher education faculty on how they can best address the needs of an untapped pool of prospective doctoral students in CSD.

Monitoring Progress for Children with Hearing Loss

2014 ◽  
Vol 24 (2) ◽  
pp. 74-81
Author(s):  
Monica Weston ◽  
Karen F. Muñoz ◽  
Kristina Blaiser
Keyword(s):  
Hearing Loss ◽  
Hearing Aid ◽  
Full Time ◽  
Data Logging ◽  
Standardized Measures ◽  
Word Structure ◽  
Hearing Aid Use ◽  
Outcomes For Children ◽  
Language Measures ◽  
Children With Hearing Loss

Purpose This study investigated average hours of daily hearing aid use and speech-language outcomes for children age 3 to 6 years of age with hearing loss. Method Objective measures of hearing aid use were collected via data logging. Speech and language measures included standardized measures GFTA-2, CELF Preschool-2 and additional item analyses for the word structure subtest CELF Preschool-2 and the GFTA-2. Results Hearing aid use was full time for 33% of the children (n=3; M=8.84 hours; Range: 2.9–12.1) at the beginning of the study, and for 78% at the end of the study (n=7; M=9.89 hours; Range 2.6–13.2). All participants demonstrated an improvement in articulation and language standard scores and percentiles however continued to demonstrate areas of weakness in sounds high-frequency in nature. Conclusions Through early identification and fitting, children gain access to speech sounds. Both standardized measures and individual language analysis should be used to identify and support children with hearing loss in language and subsequent literacy development.

Medical Debt More Common Among Full-Time Workers

2005 ◽  
Vol 36 (3) ◽  
pp. 51
Author(s):  
Joyce Frieden
Keyword(s):  
Full Time ◽  
Medical Debt

Stability and Change in Emotional Intelligence: Exploring the Transition to Young Adulthood

2005 ◽  
Vol 26 (2) ◽  
pp. 100-106 ◽  
Author(s):  
James D.A. Parker ◽  
Donald H. Saklofske ◽  
Laura M. Wood ◽  
Jennifer M. Eastabrook ◽  
Robyn N. Taylor
Keyword(s):  
High School ◽  
Emotional Intelligence ◽  
Postsecondary Education ◽  
Life Transition ◽  
Full Time ◽  
Major Life ◽  
Long Term Stability ◽  
Time Period ◽  
Transition From High School

Abstract. The concept of emotional intelligence (EI) has attracted growing interest from researchers working in various fields. The present study examined the long-term stability (32 months) of EI-related abilities over the course of a major life transition (the transition from high school to university). During the first week of full-time study, a large group of undergraduates completed the EQ-i:Short; 32 months later a random subset of these students (N = 238), who had started their postsecondary education within 24 months of graduating from high school, completed the measures for a second time. The study found EI scores to be relatively stable over the 32-month time period. EI scores were also found to be significantly higher at Time 2; the overall pattern of change in EI-levels was more than can be attributed to the increased age of the participants.

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