Uncertainty areas

Sparks Discharge Spark discharges can ignite dust-air mixtures up to an MIE of 1 J. If an uncertainty area is taken into account, this corresponds to an EIE of I to 10 J. 

The following is a conversion table for absorbance and transmittance, assuming no reflection. Included for each pair is the percent error propagated into a measured concentration (using the Beer-Lambert law), assuming an uncertainty in transmittance of+0.005.1 The value of transmittance that will give the lowest percent error in concentration is 3.368. Where possible, analyses should be designed for the low uncertainty area. 

Fig. 9.97 Uncertainty areas for different squeezing conditions (a) ( i) = 0, A 2 is squeezed but A(p is larger than in the nonsqueezed case (b) general case of squeezing of A at the expense of increasing A0 (c) uncertainty area of zero-point fluctuations with ( i) = ( 2) = 0 (d) minimized A(f) at the expense of larger AE...

In the phase diagram of Fig. 9.97 the radius r = of the circular uncertainty area around E = 2 = 0 corresponds to the vacuum fluctuation noise power density PO. 

The preparation of squeezed states tries to minimize the uncertainty of one of the two quantities AE ox A0 at the expense of the uncertainty of the other. Although the uncertainty area in Fig. 9.97, which is squeezed into an ellipse, does increase compared to the symmetric case (9.88b), one may still gain in signal-to-noise ratio... 

The maximum temperature cross which can be tolerated is normally set by rules of thumb, e.g., FrSQ,75 °. It is important to ensure that Ft > 0.75, since any violation of the simplifying assumptions used in the approach tends to have a particularly significant effect in areas of the Ft chart where slopes are particularly steep. Any uncertainties or inaccuracies in design data also have a more significant effect when slopes are steep. Consequently, to be confident in a design, those parts of the Ft chart where slopes are steep should be avoided, irrespective of Ft 0.75. 

Keywords deterministic methods, STOllP, GllP, reserves, ultimate recovery, net oil sands, area-depth and area-thickness methods, gross rock volume, expectation curves, probability of excedence curves, uncertainty, probability of success, annual reporting requirements, Monte-Carlo simulation, parametric method... 

The purpose of this exercise is to identify what parameters need to be further investigated if the current range of uncertainty in reserves is too great to commit to a development. In this example, the engineer may recommend more appraisal wells or better definition seismic to reduce the uncertainty in the reservoir area and the net-to-gross ratio, plus a more detailed study of the development mechanism to refine the understanding of the recovery factor. Afluid properties study to reduce uncertainty in (linked to the shrinkage... 

Note that while the ToF information is relatively consistent, the amplitude is varying considerably between the measurement points. This confirms the uncertainty related to the amplitude information which, in this works serves only to locate the area in which the measurements should be taken typically measurements are limited to within the range of signal amplitudes in excess of 30% of the peak value. 

The epipolar constrains calculated using the estimated camera parameters restrict the search for corresponding image features in different images to a ID search. Taking the uncertainty of the epipolar constrains into account, in our approach, the search is restricted to a small area around the epipolar lines in the images. 

It was found that that in the case of soft beta and X-ray radiation the IPs behave as an ideal gas counter with the 100% absorption efficiency if they are exposed in the middle of exposure range ( 10 to 10 photons/ pixel area) and that the relative uncertainty in measured intensity is determined primarily by the quantum fluctuations of the incident radiation (1). The thermal neutron absorption efficiency of the present available Gd doped IP-Neutron Detectors (IP-NDs) was found to be 53% and 69%, depending on the thicknes of the doped phosphor layer ( 85pm and 135 pm respectively). No substantial deviation in the IP response with the spatial variation over the surface of the IP was found, when irradiated by the homogeneous field of X-rays or neutrons and deviations were dominated by the incident radiation statistics (1). 

From Table 2.26b the area under the normal curve from — 1.5cr to -I- 1.5cr is 0.866, meaning that 86.6% of the measurements will fall within the range 30.00 0.45 and 13.4% will lie outside this range. Half of these measurements, 6.7%, will be less than 29.55 and a similar percentage will exceed 30.45. In actuality the uncertainty in z is about 1 in 15 therefore, the value of z could lie between 1.4 and 1.6 the corresponding areas under the curve could lie between 84% and 89%. 

In the discussion of Table 4.1, we acknowledged that there might be some uncertainty in the values of the quantities tabulated, but we sidestepped the origin of the uncertainty. In the next section we shall consider one of these areas the effect of crystal dimensions of the value of T j,. 

Fig. 7. Design chart to determine mass flow for hopper wall angles for (a) conical design, where the area designates uncertainty and (b) wedge design.

The search for asbestos replacement materials is obviously an ongoing process and further developments in this area are to be expected. The extent of substitution of asbestos fibers by other fibers or other materials has been limited by several factors, typically the availabiHty of adequate replacement materials, the cost performance ratio of such materials, and the uncertainty of long-term health risks of these replacement materials. From the data currendy available, it may be estimated that between 10—20% of the industrial consumption of asbestos fibers was diverted to other materials during the 1980s. 

Statistical inference. The broad problem of statistical inference is to provide measures of the uncertainty of conclusions drawn from experimental data. This area uses the theoiy of probabihty, enabhng scientists to assess the reliability of their conclusions in terms of probabihty statements. 

Designed to obtain such fundamental data as chemical rates free of mass transfer resistances or other complications. Some of the heterogeneous reactors of Fig. 23-29, for instance, employ known interfacial areas, thus avoiding one uncertainty. 

When different people talk about inflation, they often adopt different concepts without realizing it. The area of conceptual uncertainty... 

Calvert et al. []. Air Pollut. Control Assoc., 22, 529 (1972)] obtained an explicit equation by making some simplifying assumptions and incorporating an empirical constant that must be evaluated experimentally the constant may absorb some of the deficiencies in the model. Although other models avoid direct incorporation of empirical constants, use of empirical relationships is necessary to obtain specific-estimates of scrubber collec tion efficiency. One of the areas of greatest uncertainty is the estimation of droplet size. 

Scaling Up Test Results The results of small-scale tests are determined as dry weight of sohds or volume of filtrate per unit of area per cycle. This quantity multiplied by the number of cycles per day permits the calculation of either the filter area reqiiired for a stipulated daily capacity or the daily capacity of a specified plant filter. The scaled-up filtration area should be increased by 25 percent as a factor of uncertainty. In the calculation of cycle length, proper account must be made of the downtime of a batch filter. 

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