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In mathematics, a random walk, sometimes known as a drunkard's walk, is a stochastic process that describes a path that consists of a succession of random steps on some mathematical space. An elementary example of a random walk is the random walk on the integer number line Z {\displaystyle \mathbb {Z} } which starts at 0, and at each step moves ...
Footpath inside the Kangla Fort, Imphal Footpath through the forest in Brastad, Sweden. A footpath (also pedestrian way, walking trail, nature trail) is a type of thoroughfare that is intended for use only by pedestrians and not other forms of traffic such as motorized vehicles, bicycles and horses.
A path is a trail in which all vertices (and therefore also all edges) are distinct. [2] If w = (e 1, e 2, ..., e n − 1) is a finite walk with vertex sequence (v 1, v 2, ..., v n) then w is said to be a walk from v 1 to v n. Similarly for a trail or a path.
A Hamiltonian path or traceable path is a path that visits each vertex of the graph exactly once. A graph that contains a Hamiltonian path is called a traceable graph.A graph is Hamiltonian-connected if for every pair of vertices there is a Hamiltonian path between the two vertices.
An Eulerian trail, [note 1] or Euler walk, in an undirected graph is a walk that uses each edge exactly once. If such a walk exists, the graph is called traversable or semi-eulerian. [3] An Eulerian cycle, [note 1] also called an Eulerian circuit or Euler tour, in an undirected graph is a cycle that uses each edge exactly once.
A desire path, also known as desire line in transportation planning and many other names, [a] is an unplanned small trail formed by erosion caused by human or animal traffic. The path usually represents the shortest or the most easily navigated route between an origin and destination, and the width and severity of its surface erosion are often ...
It's a path of self-discovery, exploration and transformation. Jennifer Walsh is a writer, founder of Wellness Walks With Walsh and co-author of Walk Your Way Calm . Show comments
Hiking in the San Juan Mountains, Colorado A hiker enjoying the view of the Alps. A hike is a long, vigorous walk, usually on trails or footpaths in the countryside. Walking for pleasure developed in Europe during the eighteenth century. [1]