Skew propagation time

The zero forcing number has long been used as a tool for determining the maximum nullity of a graph, and has since been extended to skew zero forcing number, which is the zero forcing number used when the matrices corresponding to the graphs in question are required to have zeros as their diagonal entries. Skew zero forcing is based on the following specific color change rule: for a graph $G$ (that does not contain any loops), where some vertices are colored blue and the rest of the vertices are colored white, if a vertex has only one white neighbor, that vertex forces its white neighbor to be blue. The minimum number of blue vertices that it takes to force the graph using this color change rule is called the skew zero forcing number. A set of blue vertices of order equal to the skew zero forcing number of the graph, such that when the skew zero forcing process is carried out to completion the entire graph is colored blue, is called a minimum skew zero forcing set. More recently, the concept of propagation time of a graph was introduced. Propagation time of a graph is how fast it is possible to force the entire graph blue over all possible minimum zero forcing sets. In this thesis, the concept of propagation time is extended to skew propagation time. We discuss the tools used to study extreme skew propagation time, and examine the skew propagation time of several common families of graphs. Finally, we include a brief discussion on loop graph propagation time, where the graphs in question are allowed to contain loops (in other words, these graphs are loop graphs, not simple graphs, as in the skew zero forcing case)

Analysis, design, fabrication and testing of an optical tip clearance sensor

Analyses and the design, fabrication, and testing of an optical tip clearance sensor with intended application in aircraft propulsion control systems are reported. The design of a sensor test rig, evaluation of optical sensor components at elevated temperatures, sensor design principles, sensor test results at room temperature, and estimations of sensor accuracy at temperatures of an aircraft engine environment are discussed. Room temperature testing indicated possible measurement accuracies of less than 12.7 microns (0.5 mils). Ways to improve performance at engine operating temperatures are recommended. The potential of this tip clearance sensor is assessed

The Ethical Reasoning Process of Auditors in a Client's Confidential Matter:

The Code of professional conduct issued by Accountancy bodies prohibits Accountants/ Auditors from breaching the rule of confidentiality. Auditors who are · members of the accountancy profession in Nigeria are not allowed to disclose any confidential information concerning their clients without the due permission of the client. However, there are certain exceptions to the rule. Auditors may disclose information of his client without permission in response to a legitimately issued and enforceable subpoena. This study was conducted to investigate the reasoning process of auditors in Nigeria when faced with an ethical dilemma involving sensitive client information. The survey approach, involving three scenarios was used. The findings show that auditors usually adhere to the code of professional conduct in taking decisions. The study also shows that decisions taken in line with the code are not always in accord with good ethical reasoning. It is therefore recommended that the · accountancy profession needs to emphasize the greatest 'good criterion' in drawing up codes of ethics for members

Effects of static stretching on squat performance in Division I female athletes

International Journal of Exercise Science 9(3): 359-367, 2016. Static stretching was once recognized as a method of preparation for physical activity that would inhibit performance and increase risk of injury. However, a growing body of research suggests that static stretching may not have an inhibitory effect. Regardless, the data have not examined gender differences or the fatigue index (FI) and flexibility effects of static stretching on the back squat over multiple sets. Therefore, the purpose of this study was to examine the relationship between a static-stretch condition (SC) and control condition (CC) on flexibility and the FI of Division I female athletes during 4 sets of the back squat. Eighteen subjects (mean ± SD; age 20 ± 1 yrs; height 164.5 ± 14.6 cm; mass 74.1 ± 26.8 kg; waist circumference 73.2 ± 5.4 cm) participated in 3 testing days over the course of 3 weeks. Each subject’s 1RM back squat was assessed during the first day of testing and verified during the second. On the third testing day, subjects assigned to the SC held 3 lower-body stretches twice for 30 second intervals and those assigned to the CC rested during the corresponding 7 minutes and 50 second time period. The subjects also performed a fatiguing squat protocol consisting of 4 sets of maximum repetitions on the third day of testing. A significant (p=0.04) interaction was noted for flexibility. No significant interaction (p=0.41) was observed between the FI of the CC (41.8 ± 24.1%) or the SC (27.6 ± 45.2%). These results indicate that static stretching does not have a significant effect on multiple sets of the back squat. Therefore, coaches may allow their athletes to engage in static stretching prior to resistance exercise ad libitum

Human Resource Accounting and its Impact on Organisational Performance

Human capital is getting wider attention with increasing globalization and also the saturation of the job market due to the recent downturn in the various economies of the world. Developed and developing countries put emphases on a more human capital development towards accelerating the economic growth by devoting necessary time and efforts. In attempt to investigate the linkage between human resource accounting and organizational performance in Nigeria. This study made use of cross-sectional data drawn from the Nigerian Stock Exchange fact book (2009).  The regression result revealed that human capital and intangible asset had a positive and insignificant impact on organizational performance. However, the paper recommends that other possible variables that might contribute to human resource accounting and organizational performance be included in further empirical studies. Keywords: Human capital, Intangible asset, Organizational performance and workforce