Sentence examples for if there exists a connection from inspiring English sources

Two genes will have high topological overlap if there exists a connection between them and if they are connected to the same group of genes.

(C=[c_{ij}] in R^{Ntimes N}) is the outer-coupling matrix, where (c_{ij}) is defined as follows: if there exists a connection between node i with node j, then (c_{ij}>0); otherwise, (c_{ij}=0).

Figure 2 A complex network consisting of 19 nodes with three communities where (pmb{a_{ij}=a_{ji}=1}) if there exists a connection between nodes i and j (pmb{(jneq i)}), otherwise (pmb{a_{ij}=a_{ji}=0}).

In the undirected network, the outer coupling matrices are defined to satisfy the following conditions: If there exists a connection between nodes i and j, then (b_{ij}^{k} = b_{ji}^{k} > 0), and otherwise (b_{ij}^{k} = b_{ji}^{k} = 0) ((i ne j)), (k = 0,1).

(A=(a_{ij})_{Ntimes N}inmathbf{R}^{Ntimes N}) is the coupling configuration matrix representing the topological structure of the networks, where (a_{ij}) is defined as follows: if there exists a connection between node i and node j ((jneq i)), then (a_{ij} > 0), otherwise (a_{ij}=0), and the diagonal elements of matrix A are defined by a_{ii}= -sum_{j=1,jneq i}^{N}a_{ij}, quad i= 1,2,ldots,N.

Two literals (L) and (L^prime ) belonging to the same path form a connection if there exists a unifier (theta ) of (neg(L)) and (L^prime ).

there exist constants such that, if, there exists an element with.

There exists a connection between " ⇀ " and Δ-convergence.

There exists a connection between speed and trajectory shapes.

There exists a connection between essential metabolic genes and structural features of the metabolic network.

As a simple example, let us assume a flow traffic scenario modeled as a network where nodes represent various places, edges represent if there exists a road connection between them, and weights represent the traffic load.