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Intersection

Using the ternary tie-line data and the binary VLE data for the miscible binary pairs, the optimum binary parameters are obtained for each ternary of the type 1-2-i for i = 3. .. m. This results in multiple sets of the parameters for the 1-2 binary, since this binary occurs in each of the ternaries containing two liquid phases. To determine a single set of parameters to represent the 1-2 binary system, the values obtained from initial data reduction of each of the ternary systems are plotted with their approximate confidence ellipses. We choose a single optimum set from the intersection of the confidence ellipses. Finally, with the parameters for the 1-2 binary set at their optimum value, the parameters are adjusted for the remaining miscible binary in each ternary, i.e. the parameters for the 2-i binary system in each ternary of the type 1-2-i for i = 3. .. m. This adjustment is made, again, using the ternary tie-line data and binary VLE data. [Pg.74]

After often a lengthy period (several months) of acquisition and processing, the data may be loaded onto a seismic workstation for interpretation. These workstations are UNIX based, dual screen systems (sections on one side, maps on the other, typically) where all the trace data is stored on fast access disk, and where the picked horizons and faults can be digitised from the screen Into a database. Of vital Importance is access to all existing well data in the area for establishing the well - seismic tie. 2D data will be interpreted line by intersecting line, and 3D as a volume. [Pg.20]

Carbonate rocks are more frequently fractured than sandstones. In many cases open fractures in carbonate reservoirs provide high porosity / high permeability path ways for hydrocarbon production. The fractures will be continuously re-charged from the tight (low permeable) rock matrix. During field development, wells need to be planned to intersect as many natural fractures as possible, e.g. by drilling horizontal wells. [Pg.85]

Therefore an automatic method, which means an objective and reproducible process, is necessary to determine the threshold value. The results of this investigations show that the threshold value can be determined reproducible in the point of intersection of two normal distributed frequency approximations. [Pg.14]

This is a third set of equations that essentially allows us to locate a virtual source for every two adjacent measurements. Intuitively this can be simply described as finding the point of intersection of two radii of lengths and Therefore the simplifying assumptions... [Pg.165]

The sensitivity of the luminescence IP s in the systems employed here decreases with increasing x-ray energy more strongly than in the case of x-ray film. Therefore, this phenomenon must be compensated by using thicker lead front and back screens. The specific contrast c,p [1,3] is an appropriate parameter for a comparison between IP s and film, since it may be measured independently of the spatial resolution. Since the absorption coefficient p remains roughly constant for constant tube voltage and the same material, it suffices to measure and compare the scatter ratio k. Fig. 2 shows k as a function of the front and back screen thickness for the IP s for 400 keV and different wall thicknesses. The corresponding measured scatter ratios for x-ray films with 0,1 mm front and back screens of lead are likewise shown. The equivalent value for the front and back screen thicknesses is found from the intersection of the curves for the IP s and the film value. [Pg.470]

Using the theorem that the sufficiency condition for mathematical correctness in 3D-reconstruction is fulfilled if all planes intersecting the object have to intersect the source-trajectory at least in one point [8], it is possible to generalise Feldkamp s method. Using projection data measured after changing the sotuce-trajectory from circular to spiral focus orbit it is possible to reconstruct the sample volume in a better way with the Wang algorithm [9]. [Pg.494]

Intersections of butts and seams of fabrication and section welds Throughout hull envelope, longitudinal and transverse bulkheads, inner bottom and hopper bottom The summation of checkpoint lengths (see note 2) examined at intersections is to be L where L is the overall length of the ship in metres... [Pg.1043]

The density of dislocations is usually stated in terms of the number of dislocation lines intersecting unit area in the crystal it ranges from 10 cm for good crystals to 10 cm" in cold-worked metals. Thus, dislocations are separated by 10 -10 A, or every crystal grain larger than about 100 A will have dislocations on its surface one surface atom in a thousand is apt to be near a dislocation. By elastic theory, the increased potential energy of the lattice near... [Pg.276]

All equations of two variables, such as equation (A2.1.12). are necessarily integrable because they can be written in the fonn dy/dx = fix, y), which detennines a unique value of the slope of the line tln-ough any point (x, y). Figure A2.1.4 shows a set of non-intersecting lines in V-Q space representing solutions of equation (A2.1.12F... [Pg.334]

Figure A2.1.4. Adiabatic reversible (isentropic) paths that do not intersect. (The curves have been calculated for the isentropic expansion of a monatomic ideal gas.)... Figure A2.1.4. Adiabatic reversible (isentropic) paths that do not intersect. (The curves have been calculated for the isentropic expansion of a monatomic ideal gas.)...
If a Pfaff differential expression DF = Xdx + Tdy+Zdz has the property that every arbitrary neighbourhood of a point P(x, y, z) contains points that are inaccessible along a path corresponding to a solution of the equation DF = 0, then an integrating denominator exists. Physically this means that there are two mutually exclusive possibilities either a) a hierarchy of non-intersecting surfaces (x,y, z) = C, each with a different value of the constant C, represents the solutions DF = 0, in which case a point on one surface is inaccessible... [Pg.334]

The surfaces in which the paths satisfying the condition = 0 must lie are, thus, surfaces of constant entropy they do not intersect and can be arranged in an order of increasing or decreasmg numerical value of the constant. S. One half of the second law of thennodynamics, namely that for reversible changes, is now established. [Pg.335]

Since taking simply ionic or van der Waals radii is too crude an approximation, one often rises basis-set-dependent ab initio atomic radii and constnicts the cavity from a set of intersecting spheres centred on the atoms [18, 19], An alternative approach, which is comparatively easy to implement, consists of rising an electrical eqnipotential surface to define the solnte-solvent interface shape [20],... [Pg.838]

Referring to figure Bl.8.5 the radii of the tliree circles are the magnitudes of the observed structure amplitudes of a reflection from the native protein, and of the same reflection from two heavy-atom derivatives, dl and d2- We assume that we have been able to detemiine the heavy-atom positions in the derivatives and hl and h2 are the calculated heavy-atom contributions to the structure amplitudes of the derivatives. The centres of the derivative circles are at points - hl and - h2 in the complex plane, and the three circles intersect at one point, which is therefore the complex value of The phases for as many reflections as possible can then be... [Pg.1376]

Figure Bl.8.5. Pp Pdl and Fdl are the measured stnicture amplitudes of a reflection from a native protein and from two heavy-atom derivatives. and are the heavy atom contributions. The pomt at which the tliree circles intersect is the complex value of F. ... Figure Bl.8.5. Pp Pdl and Fdl are the measured stnicture amplitudes of a reflection from a native protein and from two heavy-atom derivatives. and are the heavy atom contributions. The pomt at which the tliree circles intersect is the complex value of F. ...
Several studies have concerned the microstnicture of lamellae in materials such as the block copolymers polystyrene-h/oc/r-poly-l-vinylpyridine [139] and polystyrene-h/oc/r-polybutadiene [140], as well as single crystals of poly-para-xylylene [139], and reveal features (such as intersecting lamellae (figure Bl.19.29)) that had not been previously observed. [Pg.1705]

For accurate ion trajectory calculation in the solid, it is necessary to evaluate the exact positions of the intersections of the asymptotes (A A2) of the incoming trajectory and that of the outgoing trajectories of both the scattered and recoiled particles in a collision. The evaluation of these values requires time integrals and the following transfonnation equations ... [Pg.1810]


See other pages where Intersection is mentioned: [Pg.116]    [Pg.117]    [Pg.290]    [Pg.427]    [Pg.139]    [Pg.214]    [Pg.218]    [Pg.249]    [Pg.271]    [Pg.489]    [Pg.662]    [Pg.716]    [Pg.716]    [Pg.770]    [Pg.807]    [Pg.884]    [Pg.1043]    [Pg.6]    [Pg.191]    [Pg.261]    [Pg.415]    [Pg.707]    [Pg.147]    [Pg.382]    [Pg.606]    [Pg.649]    [Pg.830]    [Pg.1341]    [Pg.1368]    [Pg.1398]    [Pg.1658]    [Pg.1774]    [Pg.1818]   
See also in sourсe #XX -- [ Pg.157 ]

See also in sourсe #XX -- [ Pg.373 , Pg.374 , Pg.375 , Pg.376 , Pg.377 , Pg.378 , Pg.379 , Pg.380 , Pg.381 , Pg.382 , Pg.383 , Pg.384 , Pg.385 , Pg.386 , Pg.387 , Pg.388 , Pg.389 ]




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