Connectivity number

When connecting numbers to logarithms, use as many decimal places in the mantissa as there are significant digits in the number. 

The terminal box for its correct position 4 The tei niinal box for proper connections, number of terminals and their markings. 5 The correct dii ection of rotation of the cooling fans... 

On the other hand, every natural number is the order of the automorphism group of a graph with connectivity number 1. 

An example is the method proposed by Kier and Hall, which usually considers only the C atoms and excludes the H atoms from consideration. Take the four isomers of pentane below, which are connected very differently. Each molecule can be described by a connection number 5 for each of the carbon atoms, 1 for a primary carbon, 2 for a secondary carbon, etc. 

Kier and Hall proposed a series of connectivity indexes. The zeroth index sums the reciprocal of the square roots of the connection numbers of each individual atom. 

The first index considers each pair of adjacent carbon atoms, and sums the reciprocal of the square roots of their products. There are four sets of adjacent carbon atoms, and their connection numbers are (1,3), (3,2), (2,1), and (3,1). The first index for isopentane is... 

Comparison of the integration of this last conservation equation with the direct simulation of an uncoupled neural population with a given distribution of states (v, u) at the initial time provides a validation for the simplified version of the model. Then adding the imposed flux accounting for connectivity allows us to simulate a large population of Izhikevich neurons with a given pattern of connectivity (number of afferents per neuron and delays kernel). 

However, two-dimensional networks appear to capture almost all of the important physics and chemistry of the problem. (Their dimensionality, two dimensions instead of the three of a real porous medium, is fundamentally incorrect.) Figure 6 illustrates a square-lattice network in which all tubes have the same length and connectivity but different radii. Important parameters for a network include the population distribution of radii, the physical distribution of those radii in the medium, and the connectivity (number of tubes that meet at a node). 

Figure 5. Network illustration of protein interactions and knockout mouse phenotype in PSP proteins. 650 protein-protein interactions for 281 PSP proteins are shown. These PSP interactions are divided into MASC (Red circle), cPSD (Blue circle) and nodes outside the circles are other components of the Total PSD. Also, a Venn diagram of the total numbers of proteins in the MASC, cPSD and Total PSD is shown. Proteins in this network for which an electrophysiological phenotype (change in LTP/LTD) has been reported in the literature are indicated by green nodes. The size of a node is proportional to its connectivity (number of interactors) and it can be seen that the largest nodes with an electrophysiological phenotype are in MASC.

Fig. 20 Effect of the connectivity number of the core of some zeroth generation dendrimers...

To complete this analysis, the variation of the core connectivity number and the effect on the mesomorphism was studied [270]. Three new second generation main-chain dendrimers (with the same heterolithic branch Fig. 48 = OC12H25, R = H, X = / Y) were prepared from vari-... 

Fig. 55 Self-assembling and self-organization process into columns for the octopus dendrimers with various core connectivity numbers...

Figure 2. Nj sorption isotherms on networks 2a, 2b and 2c. Effect of connectivity. Numbers at right of the hysteresis loop are the critical radii of curvature that identify the points of reversal for PD curves. Numbers at left correspond to reversal points for PA curves.

Bertz branching index connection number - edge adjacency matrix... 

The L index was proposed as the molecular descriptor defined as the simple linear combination of molecular path counts of order one P (the number of bonds), order two (the -> connection number Na), and order three P ... 

Two adjacent edges constitute a 2" order path and this subgraph is called connection (or link). The connection number N2, also known as Gordon-Scantlebury index... 

The two Zagreb indices are strictly related to zero-order °x and first-order - connectivity indices, respectively. The 1 Zagreb index M (also called Gutman index) is also related to the - Platt number F and the - connection number Na by the relationship ... 

A method of using GCMC simulation in conjunction with percolation theory [74,75] has been suggested for simultaneous determination of the PSD and network connectivity of a porous solid [76]. In this method, isotherms are measured for a battery of adsorbate probe molecules of different sizes, e.g., CH4, CF4, and SFg. As illustrated in Fig. 9a, the smaller probe molecules are able to access regions of the pore volume that exclude the larger adsorbates. Consequently, each adsorbate samples a different portion of the adsorbent PSD, as shown in Fig. 9b. By combining the PSD results for the individual probe gases with a percolation model, an estimate of the mean connectivity number of the network can be obtained [76]. 

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