Between 1660 and 1720 the British American empire expanded to incorporate new settlements, new trade routes, and it occupied a growing place in the British export economy. This expansion created challenges in transoceanic navigation and understanding of local geography, particularly as ambitions to trade in new markets in Spanish America gained traction. Mariners, merchants, scientists and policymakers required useful knowledge to enable their voyages and imperial activities. To meet this growing demand, print artisans in London produced an increasing amount of printed geographical information in the form of maps, charts and geographical texts. Draftsmen, engravers and printers applied their skill and labour to produce 179 maps and charts of the British Americas, and these artisans in turn benefitted from the income supplied by consumers. The increasing valorisation of empiricism and eyewitness knowledge resulting from the 'scientific revolution' also informed the inclusion of useful and practical information on maps and charts, and publishers asserted their credentials in claims to accuracy and novelty. Crown-sponsored voyages, buccaneers and chartered companies supplied eyewitness information from the Spanish Pacific and Caribbean, although the quality of information varied depending on the voyage itineraries and priorities. The growth of this market for maps and charts of the Americas highlights how the economic and territorial exploitation inherent to British empire was partly enabled by artisans living thousands of miles from colonial spaces. It further demonstrates the pivotal role of empire in Britain's long-term economic growth, and highlights that useful knowledge was central not peripheral to early modern socio-economic development.

Shewhart X bar control charts with estimated control limits are widely used in practice. When the sample size is not fixed,we propose seven statistics to estimate the standard deviation sigma . These estimators are applied to estimate the control limits of Shewhart X bar control chart. The estimated results through simulated computation are given and discussed. Finally, we investigate the performance of the Shewhart X bar control charts based on the seven estimators of sigma via its simulated average run length (ARL).

Statistical process control (SPC) procedures suitable for autocorrelated processes have been extensively investigated in recent years. The most popular method is the residual-based control chart. To implement this method, a time series model, which is usually an autoregressive moving average (ARMA) model, of the process is required. However, the model must be estimated from data in practice and the resulting ARMA modeling errors are unavoidable. Residual-based control charts are known to be sensitive to ARMA modeling errors and often suffer from inflated false alarm rates. As an alternative, control charts can be applied directly to the autocorrelated data with widened control limits. The widened amount is determined by the autocorrelation function of the process. The alternative method, however, can not be also free from the effects of modeling errors because it relies on an accurate process model to be effective. To compare robustness to the ARMA modeling errors between the preceding two kinds of methods for control charting autocorrelated data, this dissertation investigates the sensitivity analytically. Then, two robust design procedures for residual-based control charts are developed from the result of the sensitivity analysis. The first approach for robust design uses the worst-case (maximum) variance of a chart statistic to guarantee the initial specification of control charts. The second robust design method uses the expected variance of the chart statistic. The resulting control limits are widened by an amount that depends on the variance of chart statistic - maximum or expected - as a function of (among other things) the parameter estimation error covariances.

ITC/USA 2012 Conference Proceedings / The Forty-Eighth Annual International Telemetering Conference and Technical Exhibition / October 22-25, 2012 / Town and Country Resort & Convention Center, San Diego, California / This paper discusses the current development of all-in-one telemetry displays. This system provides a self-configuring environment utilizing common telemetry display objects that setup and deploy. Often range display systems require frequent revision to reason with changing requirements. The display is rendered accordingly as a strip-chart equivalent or other element, per requirements from a flight safety officer for example. Our reusable code system approach is based on a novel abstraction of the display elements. The approach may be deployed beyond the decommutation stage as is typically done or interface directly to a plug in software decommutator. This system's plug-and-play functionality facilitates rapid deployment of interoperable Department of Defense (DOD) range displays and recorders.

published_or_final_version / Computer Science / Master / Master of Philosophy

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This thesis details the results of investigations into bounds on some distance-based topological indices. The thesis consists of six chapters. In the first chapter we define the standard graph theory concepts, and introduce the distance-based graph invariants called topological indices. We give some background to these mathematical models, and show their applications, which are largely in chemistry and pharmacology. To complete the chapter we present some known results which will be relevant to the work. Chapter 2 focuses on the topological index called the eccentric connectivity index. We obtain an exact lower bound on this index, in terms of order, and show that this bound is sharp. An asymptotically sharp upper bound is also derived. In addition, for trees of given order, when the diameter is also prescribed, tight upper and lower bounds are provided. Our investigation into the eccentric connectivity index continues in Chapter 3. We generalize a result on trees from the previous chapter, proving that the known tight lower bound on the index for a tree in terms of order and diameter, is also valid for a graph of given order and diameter. In Chapter 4, we turn to bounds on the eccentric connectivity index in terms of order and minimum degree. We first consider graphs with constant degree (regular graphs). Došlić, Saheli & Vukičević, and Ilić posed the problem of determining extremal graphs with respect to our index, for regular (and more specifically, cubic) graphs. In addressing this open problem, we find upper and lower bounds for the index. We also provide an extremal graph for the upper bound. Thereafter, the chapter continues with a consideration of minimum degree. For given order and minimum degree, an asymptotically sharp upper bound on the index is derived. In Chapter 5, we turn our focus to the well-studied Wiener index. For trees of given order, we determine a sharp upper bound on this index, in terms of the eccentric connectivity index. With the use of spanning trees, this bound is then generalized to graphs. Yet another distance-based topological index, the degree distance, is considered in Chapter 6. We find an asymptotically sharp upper bound on this index, for a graph of given order. This proof definitively settles a conjecture posed by Tomescu in 1999. / Thesis (Ph.D.)-University of KwaZulu-Natal, Westville, 2012.

Thesis (M. S.)--Psychology, Georgia Institute of Technology, 2009. / Committee Chair: Rogers, Wendy; Committee Member: Fisk, Arthur; Committee Member: Walker, Bruce