Singly connected

J. C., Irreversibility phenomena associated with heat transfer and fluid friction in laminar flows through singly connected ducts, Int. J. Heat Mass Transfer 40 (1997) 905-914. 

GC) axon (Jia et al, 1999). The GC are the main inhibitory intemeurones, while the peri-glomerular cells can alter the probability of transmission at the first synapse. The olfactory inputs to the M/TCs have two ways in which they may be connected, via their primary dendrites, to a particular glomerulus. First, they may supply only one functional type as in MOE input [Fig. 5.14(a)], Second, they may supply two or more functional types [Fig. 5.14(b)]. The single connectivity type is found in the MOB, as the primary OR-M/TC... 

FORMATION, STRUCTURE, PROPERTIES - CROSSLINKED STATE composed of units only single-connected to network structure... 

An important by-product of the development in this chapter (Section X) is the possible existence of scalar interferometry, which is interferometry between structured scalar potentials, first introduced by Whittaker [27,28] and that can be defined in terms of B<3 This is a type of interferometry that depends on physically meaningful potentials that can exist self-consistently, as we have argued, only in a non-singly connected 0(3) vacuum, because potentials in the nonsingly connected U(l) vacuum are assumed to be unphysical. 

The general antidynamo theorem of Zeldovich is related to the fact that in the two-dimensional, singly-connected case, a field of divergence 0 is given by a scalar which is invariantly related to it (a streamline function or Hamilton function ). If the field is frozen into the fluid then the corresponding scalar is carried with the flow and, in particular, the integral of its square is conserved at D = 0 and decreases for D > 0, which is in fact why a dynamo is impossible. 

In the worst case, changing a single connection in the switch can take a full frame time. This means that changing the entire topology of the switch is not an action to be taken lightly. However, simple changes can be done relatively rapidly. 

The amplifier network provides signal conversion and suitable static and dynamic compensation for good positioner performance. Control from this block usually reduces to a form of proportional or proportional plus derivative control. The output from this block in the case of a pneumatic positioner is a single connection to the spring and diaphragm actuator or two connections for push/pull operation of a... 

Furthermore, as (10) illustrates, multiplicity of the singly-connected R groups is indicated in the superscripts only. A subscript after the R would imply a repeat of the same R group, such as in an ethenyl vs. a methenyl group, etc. 

Following the line of Kantor and Webman s two-dimensional model, the strain energy H of a chain composed of a set of Nr singly connected units hi of length d under an applied force F at the two ends of the chain is given by [155]... 

Most properties of density domains follow from the properties of MIDCOs. We have seen before that for low values of the electron density threshold a, the MIDCO G(a,K) is usually a single, closed surface, consequently, the density domain DD(a,K) is also a single, connected body. For high values of density threshold a, the MIDCO G(a,K) is often a collection of several closed surfaces, where each closed surface surrounds some of the nuclei of the molecule. Consequently, for such a density threshold, the formal density domain DD(a,K) is in fact a collection of several, disconnected bodies DDj(a,K). 

Global density range (molecular density range). [ag, amjn) ag is defined above, whereas amj is a low threshold value below which electron density can be neglected. The molecule is represented by a single, connected density domain for each threshold value within the global density range. 

One of the main advantages of the density domain approach is the introduction of a natural model for a quantum chemical representation of formal functional groups [1-3]. Consider the simplest case a single connected density domain DD(a,K) and all the nuclei contained within DD(a,K). The boundary MIDCO G(a,K) of the density domain DD(a,K) separates this subset of the nuclei of the molecule from the rest of the nuclei. This fact indicates that the nuclei embedded within DD(a,K), together with a local electronic density cloud surrounding them, represent a sub-entity of the molecule. This sub-entity has an individual identity, since for a range of density threshold values including the value a, the local electron density cloud is separable from the density cloud of the rest of the molecule. 

However, not all space curves singly connecting reactant and product asymptotes correspond to a realistic time evolution describing an elementary process. Such evolution is determined by the equations of motion within the quasiclassical approach the space curves can be interpreted as system point trajectories in M with their end points located in the reactant and product asymptotes 43,44), a trajectory Q — Q(t) is then determined by the classical equations of motion [i.e., within some of the equivalent formulations of classical mechanics tantamount to Eq. (9)]. 

Fig. 11. Filler network chain according the L-N-B-model i.e., a set of N singly connected bonds under an applied force at the two ends of the chain (after [90])...

The density distribution function of the number of singly connected bonds,... 

It is interesting to note that the (L-N-B)-model leads to similar expressions for the moduli like the VTG-model apart from the first summand of Eq. (38). However, contrary to the semi-empirical weighting functions W(y6) of the VTG-model, the corresponding density distribution function/la(y) in the (L-N-B)-model is related to the morphological structure of the filler network, i.e., the distribution of singly connected bonds in a percolation network. Unfortunately, this distribution function is not known, exactly. Therefore, a simple exponential... 

The above described lack of smoothness at y = ya is essential. It refers to the characteristic power law distribution functions of cluster sizes in percolation, indicating that the most frequent number Lx of singly connected bonds is unity. This leads to a spontaneous fast decline of G when y exceeds the value yapp> since all L-N-B-chains with Lx=1 break simultaneously at this amplitude. Experimental results show that a smooth transition of G with varying strain amplitude appears that cannot be described by a power law distribution function or the assumed exponential type of/lfl (y). 

Blind pore (Dead-end pore) Pore with a single connection to the surface... 

Fig. 1.2. Portion of a random bond percolating cluster backbone, connecting the points A and B. Here, the thick black lines represent the singly connected bonds or red bonds which, if cut, will disconnect the connection between A and B. The bonds in the blob portions are indicated by dotted lines. The dangling bonds are indicated by thin black lines (cf. StauflPer and Aharony 1992).

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