Distance combined

The simple terrain estimate is adjusted to represent a 24-hour average by multiplying by a factor of 0.4, while the VALLEY 24-hour estimate incorporates the 0.25 factor used in the VALLEY model. Calculations continue for each terrain height/distance combination entered until a terrain... 

Distance measures, such as Cook s distance, combine the concept of leverage and residuals to compute an overall measure of a calibration sample s influence on the calibration model. Cook s distance is computed as... 

The ChemDiverse method uses predefined ranges for measuring the distances between the points (pharmacophoric features) distances are calculated exactly but stored using this binning scheme, with each distance represented by the bin into whose range it falls. Each pharmacophore for the 4-point method needs six distances to be characterised (to form a tetrahedron), whereas three distances are needed for each 3-point pharmacophore (triangle). All the combinations of features and distances, combined for all the evaluated conformers, are stored in a pharmacophore key . 

Chini, M. G. Jones, C. R. ZampeUa, A. D Auria, M. V. Renga, B. Fiorucci, S. Butts, C. P Bifulco, G. Quantitative NMR-derived interproton distances combined with quantum mechanical calculations of chemical shifts in the stmeochemical determination of conicasterol F, a nuclear receptor ligand from theonella swinhoei, ... 

From the detour matrix and the distance matrix, a combined matrix, called detour-distance combined matrix AAD (or maximum-minimum path matrix or detour distance-topological distance combined matrix), is defined as [Ivanduc and Balaban, 1994b]... 

A combined molecular index, called detour-Wiener combined index (or MmPS topological index) and denoted as wA W, is defined as the sum of the lengths of the longest and shortest paths betv een any two vertices in the molecular graph and is calculated from the detour-distance combined matrix as... 

The transpose of the detour-distance combined matrix is the distance-detour combined matrix D A A (or minimum-maximum path matrix, or topological distance-detour distance combined matrix), defined as [Janezic, MUicevic et al., 2007]... 

Note that several molecular descriptors derived from this matrix, such as the spectral indices and —> Wiener-type indices, are the same as those from the detour-distance combined matrix, because eigenvalues of detour-distance matrix and distance-detour matrix and total sum of their matrix elements coincide. 

Detour-distance combined matrix and distance/detour quotient matrix for the H-depleted molecular graph of ethylbenzene. MmPVS, is the maximum-minimum path sum of the /th vertex VS, and CSj indicate the matrix row and column sums, respectively, w and W are the detour and Wiener index, respectively wAWand D/A are the detour-Wiener combined index and the D/A index, respectively. 

For detour matrix, distance-detour combined matrix and detour-distance combined matrix there can also be defined the corresponding reciprocal matrices, vhich are the reciprocal detour matrix A, reciprocal distance-detour combined matrix DAA, and the reciprocal detour-distance combined matrix AAD, as... 

Opposite to the distance matrix is the —> detour matrix, where the entries correspond to the length of the longest path between two vertices. Other matrices related to the distance matrix are geometric distance/topolo cal distance quotient matrix, —> detour-distance combined matrix, distance/detour quotient matrix, —> distance-degree matrices, —> expanded distance matrices, —> distance-path matrix, delta matrix, —> distance sum layer matrix, —> distance-sequence matrix. 

These are obtained from the reciprocal detour-distance combined matrix as... 

Most of the graph-theoretical matrices are symmetrical, whereas some of them are un-symmetrical. Examples of unsymmetrical matrices are —> Szeged matrices, —> Cluj matrices, random walk Markov matrix, —> combined matrices such as the topological distance-detour distance combined matrix, and some weighted adjacency and distance matrices. 

G D GAD Geometric distance-topological distance combined matrix... 

T A taA Topographic distance-detom distance combined matrbc... 

Other matrices that combine topological and geometrical information are distance-distance combined matrices, which are defined in terms of geometric (ry) or topographic (t,j) distances as [Janezic, 2007] ... 

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