The phrase "a path system" is correct and usable in written English.
It can be used to refer to a structured network of paths, often in contexts like urban planning, transportation, or computer systems.
Example: "The city has developed a path system that connects parks and recreational areas for easier access."
Alternatives: "a pathway network" or "a route system".
Specifically, this weight function selects a path-system with pairs.
In trees with multifurcations, for a path-system ϒ, more than one path can run through each vertex m ∈ J with |chd(m)| > 2 without violating phylogenetic independence.
Furthermore, let ω xy : L × L → ℝ be an arbitrary weight function on pairs of leaves of T. We define the weight of a path-system ϒ as (1) A path-system ϒ that maximizes ω, i.e., a solution of the MPP, will in the following be called optimal path-system.
In the following, the array n u, x) will be used to allow efficient navigation in T. A path-system ϒ on T is a set of paths π such that 1.
It is worth noting that finding a path-system that simply maximizes the number of pairs, as presented in [ 2] and applied in [ 13], for example, constitutes a special case of the MPP with unit weights.
From the geometrical framework introduced in the previous subsection, we now construct a dynamical path system of a mass point evolving under the Hamiltonian formulation.
In general, Pt|YSZ is assumed to be a surface path system (owing to the very low solubility and diffusivity of oxygen in bulk platinum [23]).
Fluxes of CO2, water vapour and sensible heat were measured with an open path system (In Situ Flux Systems AB, Ockelbo, Sweden) including an open path infrared CO2/H2O analyzer (LI7500, Li-Cor, Lincoln, Nebraska) and a Gill R3 Ultrasonic Anemometer (GILL Instruments, UK).
It includes an extensive path system, large festival grounds, ski trails, and wildflower gardens.
JM-103 (Draeger Medical Systems, Inc., Telford, PA) uses 2 wavelengths and a dual optical path system; each measurement was calculated averaging five readings.
Two path blocking techniques solely using the easily measured variables of the original system to predict the response of a path blocking system are generalized to finite element models of continuous systems.
