Coefficient of Linear Expansion Introduction With few exceptions materials expand somewhat when heated through a temperature range that does not produce a change in phase (i.e. melting‚ freezing‚ boiling etc.). The added heat increases the average amplitude of vibration of the atoms in the material‚ which increases the average separation between the atoms. Although this effect is small‚ it is very important in any application that involves using different materials in an environment where they
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Sir Arthur Evans Essay How has the work of Sir Arthur Evans contributed to our understanding of the past? The work of Arthur Evans in exploring Ancient Minoan civilisation on the island of Crete has significantly contributed to our understanding of the past. In examining his work‚ three observations may be made about Evans archaeological examinations. The interpretation and reconstruction of a site should not be influenced by archaeologist’s preconceived ideas‚ in investigating the past it is important
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RHA; same trend for LL and PL. The Linear Shrinkage (LS) decreases as the RHA content increases‚ enhancing the volume stability of the soil. The results obtained from the researches’ work are shown below in Figure 2.7. Figure 2.7: Variation of OMC‚ LL‚ PL‚ PI‚ and LS with RHA content Roy (2014) conducted a research on the soil stabilization using RHA and cement‚ using the soil sample from Burdwan‚ India by disturbed sampling method. The CBR value obtained from the experiment is to evaluate the
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a vibratory system the spring‚ the mass‚ and the damper behave linearly‚ the resulting vibration is known as linear vibration. If‚ however‚ any of the basic components behave nonlinearly‚ the vibration is called nonlinear vibration. The differential equations that govern the behavior of linear and nonlinear vibratory systems are linear and nonlinear‚ respectively. If the vibration is linear‚ the principle of superposition holds‚ and the mathematical techniques of analysis are well developed. For nonlinear
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appears to be a linear trend between the two variables. As the data points are relatively close to the regression line‚ it can be stated that there is strong positive association between chest and weight. The correlation coefficient of 0.96 (very close to 1) confirms that the linear relationship is very strong and positive. Model obtained‚ equation specified in context and prediction made in context with sensible rounding (to nearest 0ne or ten) NB: Do one Interpolation and one Extrapolation
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easily connect to existing libraries. That is why optimization is an important and practical topic in Scilab‚ which provides tools to solve linear and nonlinear optimization problems by a large collection of tools. Overview of the industrial-grade solvers available in Scilab and the type of optimization problems which can be solved by Scilab. Objective Linear Bounds y Equality l Inequalities l Problem size m m l l y Nonlinear s Gradient needed y n Solver linpro quapro qld qpsolve optim neldermead
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SET A: 10897143‚ 10977570‚ 10879587‚ 10870342‚ 10873279‚ 10857133‚ 10661867‚ 10878440‚ 11090782‚ 10770518‚ 10893091 Three electric power plants with capacities of 25‚ 40‚ and 30 million KWh supply electricity to three cities. The maximum demands at the three cities are estimated at 30‚ 35 and 25 million KWh. The price per million KWh at the three cities is given in the table below. [pic] During the month of August‚ there is a 20% increase in demand at each of the three cities‚ which can
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Arthur Evans and the Palace of Knossos Archaeology has contributed greatly to our knowledge of past civilisation and in turn the general understanding of humanity’s progression through the ages. Without archaeology‚ this knowledge and understanding would be extremely limited in its range of sources and evidence. Ancient civilisations underground provide an extensive range of remains and artefacts from which historians can draw accurate‚ informed conclusions about mortals who have long since turned
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be intentional or unintentional‚ may involve conventional or unconventional signals‚ may take linguistic or nonlinguistic forms‚ and may occur through spoken or other modes." In light of the above definition of communication‚ the success of the Linear and Circular model of communication is dependent upon how successful the message is transmitted and if there is a desired effect on the person that is addressed in the communication process. Aristotle’s model of communication came to the conclusion
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Application of linear functions in Economics (or) Application of straight lines in Economics The linear function is one in which ‘y’ is the first degree expression in ‘x’‚ i.e.‚ y = ax + b. The graph of this function is a straight line. The co-efficient of x represents the slope of the line. If a > 0‚ then the lines are upward sloping‚ and if a < 0‚ then the lines are downward sloping Let us explain certain linear equations used in Economics and business. 1. Linear cost curves
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