Figure 1-3 Areas Under a Parabolic Arc Covering Two Subintervals of a Simpson s Rule Integration. |

Table 2.26b Areas Under the Normal Distribution Curve from 0 to z 2.122 |

Write a program in BASIC to generate the area under the normal curve over the internal [0, 4] at internals of 0.0 Iz. [Pg.29]

PRINT " Simpson s Rule integration of the area under y = f (x) " DEF fna (x) = 100 - X 2 DEF fna lets you put any function you like here. PRINT "input limits a, andb, and the number of iterations desired n" [Pg.12]

The intensity of the signals as measured by the area under each peak which tells us the relative ratios of the different kinds of protons [Pg.532]

The following sketch shows the same ultimate recovery (area under the curve), produced in three different production profiles. [Pg.208]

Fig. 8.2 Simple Monte Carlo integration, (a) The shaded area under the irregular curve equals the ratio of the number of random points under the curve to the total number of points, multiplied by the area of the bounding area, (b) An estimate of tt can be obtained by generating random numbers within the square, v then equals the number of points within the circle divided by the total number of points within the square, multiplied by 4. |

Note that /4 = 0 when capillary condensation is complete.) Integration by measurement of the area under the curve of ln(p°/p) against n between the stated limits therefore gives the value of A, which is the area of the walls of the cores, not of the pores (cf. Fig. 3.28). [Pg.171]

Relationship between confidence intervals and results of a significance test, (a) The shaded area under the normal distribution curves shows the apparent confidence intervals for the sample based on fexp. The solid bars in (b) and (c) show the actual confidence intervals that can be explained by indeterminate error using the critical value of (a,v). In part (b) the null hypothesis is rejected and the alternative hypothesis is accepted. In part (c) the null hypothesis is retained. [Pg.85]

Table 2.26a lists the height of an ordinate (Y) as a distance z from the mean, and Table 2.26b the area under the normal curve at a distance z from the mean, expressed as fractions of the total area, 1.000. Returning to Fig. 2.10, we note that 68.27% of the area of the normal distribution curve lies within 1 standard deviation of the center or mean value. Therefore, 31.73% lies outside those limits and 15.86% on each side. Ninety-five percent (actually 95.43%) of the area lies within 2 standard deviations, and 99.73% lies within 3 standard deviations of the mean. Often the last two areas are stated slightly different viz. 95% of the area lies within 1.96cr (approximately 2cr) and 99% lies within approximately 2.5cr. The mean falls at exactly the 50% point for symmetric normal distributions. [Pg.194]

Fig. 1.12 Three normal distributions with different values of a (Equation (1.55)). The functions are normalised, so the area under each curve is the same. |

To convert the core area into the pore area ( = specific surface, if the external area is negligible) necessitates the use of a conversion factor R which is a function not only of the pore model but also of both r and t (cf. p. 148). Thus, successive increments of the area under the curve have to be corrected, each with its appropriate value of R. For the commonly used cylindrical model, [Pg.171]

The flmetion 5(co), ealled the Dirae delta flmetion, is the eontinuous analog to 5nm-It is zero unless co = o. If co = o, 5(co) is infinite, but it is infinite in sueh a way that the area under the eurve is preeisely unity. Its most useful definition is that 5(co) is the funetion whieh, for arbitrary f(co), the following identity holds [Pg.553]

The time taken to complete a base line study and EIA should not be underestimated. The baseline study describes and inventorises the natural initial flora, fauna, the aquatic life, land and seabed conditions prior to any activity. In seasonal climates, the baseline study may need to cover the whole year. The duration of an EIA depends upon the size and type of area under study, and the previous work done in the area, but may typically take six months. The EIA is often an essential step in project development and should not be omitted from the planning schedule. [Pg.71]

Fig. 3.28 The Kiselev method for calculation of specific surface from the Type IV isotherm of a compact of alumina powder prepared at 64 ton in". (a) Plot of log, (p7p) against n (showing the upper (n,) and lower (n,) limits of the hysteresis loop) for (i) the desorption branch, and (ii) the adsorption branch of the loop. Values of. 4(des) and /4(ads) are obtained from the area under curves (i) or (ii) respectively, between the limits II, and n,. (6) The relevant part of the isotherm. |

See also in sourсe #XX -- [ Pg.668 ]

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