Project management and music in education and related fields

Project Management (PM) is a well-established field of research with the scope of inquiry now ranging far beyond the industrial and corporate sectors from which it first emerged. Starting from the premise that PM expertise is a valuable professional attribute and life skill of relevance to many if not all educational disciplines, questions emerge both as to how relevant techniques can be most effectively applied in educational contexts, and how insights might potentially be drawn from the study of different disciplines to enrich the PM profession. This paper focuses initially on higher education (specifically university level study) within the United Kingdom (UK) and other countries, and provides a contextual analysis of the discourse and practice of PM in undergraduate degree subjects. Discussion then narrows in on the discipline of music, as a specific context for consideration of PM through the educational and professional continuum. Identifying a relative absence of explicit PM theory or terminology in the vast majority of degree subjects at least in the UK, there is, nevertheless, an underlying presence of project-based activity at least implicit in all university education and music, in particular, presents a distinctive example of a creative, cultural, educational, where PM is an integral component and experience of subject and discipline. This paper concludes by identifying significant value in the development of a more explicit approach to PM in educational contexts and considerable scope for the development of professional relationships between PM organizations and the higher education sector in particular

Cornering the Queen

By analyzing a novel game, we can study some fascinating mathematical concepts which leads to surprising conclusions. While doing so, we come across one of the important real number, the Golden Ratio. We introduce Whythoff’s Nim game and calculate the safe pairs for our main problem. The paper leads to many further investigations related to connecting mathematics with games

Zonal Velocity Bands and the Solar Activity Cycle

We compare the zonal flow pattern in subsurface layers of the Sun with the distribution of surface magnetic features like sunspots and polar faculae. We demonstrate that in the activity belt, the butterfly pattern of sunspots coincides with the fast stream of zonal flows, although part of the sunspot distribution does spill over to the slow stream. At high latitudes, the polar faculae and zonal flow bands have similar distributions in the spatial and temporal domains.Comment: To appear in Solar Physic

Batch Arrival Preventive Loss Priority Queues with Preventive Distance

This paper is concerned with preemptive loss priority queues in which a batch of failed machines of each priority class arrive in a Poisson process and have general service time distribution. In this queuing system, failed machines are not considered for repair again when their services are preempted by the arrival of another batch of failed machines with higher priority They disappear immediately. A case can be modeled by such a system in which deferred service is worthless for old demands of low priority. This model is based on the situation of strict preemption with preemption distance parameter d such that failures of only class l to p - d can preempt the service of failures of class p. The closed form expressions are obtained in the mean waiting time and source time from their distributions for each class. Several numerical examples illustrate the approach

Fractal Sequences

In this paper we shall explore the various ways and properties of fractal sequences. I have given three types of fractal sequences totally in different aspects. The first type is a sequence generated by card shuffling and the second type is the Golden Sequence and the third type is the Signature sequences. The method of their generation is given for each case. Through these types one can explore the beauty and can enjoy with the properties of these amazing sequences

Randomized Encryption Cryptosystem

Cryptography is the art of secret writing. There are essentially two types of cryptosystems. (i) Secret-key cryptosystems also called symmetric cryptosystems (ii) Public-key cryptosystems also called asymmetric cryptosystems. In this paper, we shall consider a Public-key cryptosystem whose security is based on the infeasibility of the Quadratic Residuosity Problem (QRP

Batch Arrival Queuing Models with Periodic Review

In this paper, we propose a periodic review policy for the M/M /c type of queue The embedded Markov chain technique is used for the analysis of this system. To determine the mean queue length of mean job waiting times and higher moments of these quantities the probability generating functions are calculated (for the queue length) A comparison is made between constant and state dependent lengths of the review period

Application of Groups to Word Problems

Using Combinatorial Group Theory an area of mathematics arising from Abstract Algebra, the so called Word Problems can be effectively understood. With the objective of finding applications of the elements of fundamental groups, an attempt has been made in this paper to discuss the word problem in the form of finding the generators in the English Alphabets. These ideas can be widely used in Cryptography, the science of secret codes

Connell Sequences

In this paper we have discussed an interesting type of sequence called “Connell Sequence”. The main part of the paper lies in deriving the generating function for the Connell Sequence and its limiting behavior is discussed. We have extended the definition of Connell Sequence and have studied the “General Connell Sequences” and have studied its generating function and its limiting behavior. The connection between Connell Sequences and the Polygonal Numbers are also explored in the process of finding the Generating Functions of these Sequences