Through three points

Figure 6.13 (a) Recognition-mediated nanoparticle-polymer assembly through three-point... 

Note that any three atoms must lie in a plane. One can always draw H V H a plane through three points in the everyday world, for example, a three-... 

The fabric design (weaving pattern, fibre density, etc.) is determinant for the POF bend. The radius of fibre curvature in the fabric is expressed by the radius of the circle that passes through three points, X, Y and Z, that are shown in Figure 8.8. 

Three-point bending tests on X-aerogel beam specimens with nominal dimensions of 8.6 X 8.6 X 48 mm were conducted on an Instron material testing system at room temperature (21°C) and at —196°C. Figure 22.4 shows the stress-strain curves obtained through three-point bending tests of X-SiOx and X-VOx at room temperature and cryogenic... 

Figure 7 Triboronic acid sensors assembled via combinatorial synthesis to evaluate the potential of increased allosteric binding effects through three-point binding (the interchangeable linker units are highlighted in red).

The well-defined copolymers (D = 1.08 — 1.14) self-assembled through three-point interactions between the DAP block and dicarboximide moieties on the unfimctionalized block. 

Each BWR jet pump assembly consists of a riser assembly, two diffuser assemblies, and two inlet-mixer assemblies. The exit of the inlet-mixer is connected to the diffuser through a slip joint and the entrance is connected to the top of the riser transition piece. The riser restrainer brackets couple the two inlet-mixers on either side of the riser pipe and support the iidet-mixer through three-point contact provided by two set screws and the inlet-mixer wedge. This three-point contact provides support for the inlet-mixer, which increases the stiffness of the jet pump assembly, and reduces the potential for abnormal vibration. 

The general equation of a circle through three points (a, bi), (02/ 2)/ and (03/ 3) (provided three points do not fall on a straight line) can be given as... 

We begin our discus.sion with the top-down approach. Let F be a two or three dimensional region filled with a fluid, and let v x,t) be the velocity of a particle of fluid moving through the point x = ( r, y, z) at time t. Note that v x, t) is a vector-valued field on F, and is to be identified with a macroscopic fluid cell. The fact that we can make this so-called continuum assumption - namely that we can simultaneously speak of a velocity of a particle of fluid and think of a particle of fluid as a macroscopic cell - is not at all obvious, of course, and deserves some attention. 

For octacovalence a different equation is needed. From symmetry considerations we see that the OC—M—CO bond angle for M(CO)3 with three double bonds is the tetrahedral angle 109.47°. The upper curve in Fig. 1 has been drawn as a straight line passing through the points for n = 1 and n = 2 ... 

In the developed finite element model each layer has three points of integration through its thickness with four points for constitutive calculations on each level. Temperature was represented by three integration points, i.e. on per a layer. 

In each of the composition diagrams in Fig. 14.2, the numbers represent a series of reactions run at a defined composition and temperature. These are isometric sulfur slices through three-dimensional K/P/RE/S quaternary phase diagrams. As just one example of what we have studied. Table 14.1 identifies the compositions at each point and the resulting phase(s). We have rigorously studied how phase formation is dependent upon the compositions of reactions for the rare-earth elements Y, Eu, and La and we have also discovered key structural relationships between the rare-earth elements, indicating a significant dependence on rare-earth and alkali-metal size for sulfides and selenides. 

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