The phrase "a trajectory of a network" is correct and usable in written English.
It can be used when discussing the path or development of a network over time, often in contexts related to technology, social networks, or data analysis.
Example: "The researchers analyzed a trajectory of a network to understand how information spread among users."
Alternatives: "the path of a network" or "the evolution of a network."
Then { a(0), a(1),…, a(T)} is the trajectory of the network with initial state a(0) up to time T. Consider now the trajectory of the same network under the activation of node j, that is { b(0), b(1),…, b(t),… } where b(0)=(a1 0),… a j −1 0),1, a j +1 0),…, a N (0)), and b j (t)=1 for all t.
Denoting by Σt ={σ1 t), σ2 t), …, σk(t)} the state of the nodes in the update t, we have that (1) represents a set of possible states of the network for t m updates for a given initial condition and defines a possible trajectory of the network in its Space of States (SS [ 10].
Given a truth table, the network evolves as a trajectory of gene-expression vectors (states) X t ∈ {0, 1} n, each known as a gene activity profile (GAP).
A trajectory approaching such a network will spend much of its time near a cluster state with two groups of two oscillators each.
Supplementary Figure S1.1 shows the algorithm that is used to generate a single dynamic trajectory of the QSSPN network, which following PN nomenclature will be referred to as a token game trajectory.
This work focuses on the problem of designing surveillance trajectories for a network of autonomous cameras.
The stability studies in NNs have been developed finding the conditions which ensure that each trajectory of the network converges to an equilibrium point depending on the initial conditions.
The adaptive stop time of a mobile sink can balance the energy consumption of nodes, but a long trajectory of a mobile sink increases network delay.
When the problem has many solutions, it is guaranteed that, for any initial point, the trajectory of the network does converge to an exact solution of the problem.
In a New York Times profile on Twitter co-founder Evan Williams, the company revealed a few interesting stats showing the growth trajectory of the network.
