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An exact differential is sometimes also called a total differential, or a full differential, or, in the study of differential geometry, it is termed an exact form . The integral of an exact differential over any integral path is path-independent, and this fact is used to identify state functions in thermodynamics .
Path (computing) A path (or filepath, file path, pathname, or similar) is a string of characters used to uniquely identify a location in a directory structure. It is composed by following the directory tree hierarchy in which components, separated by a delimiting character, represent each directory.
Closed and exact differential forms. In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero ( dα = 0 ), and an exact form is a differential form, α, that is the exterior derivative of another differential form β. Thus, an exact form is in the image of d ...
An inexact differential or imperfect differential is a differential whose integral is path dependent. It is most often used in thermodynamics to express changes in path dependent quantities such as heat and work, but is defined more generally within mathematics as a type of differential form. In contrast, an integral of an exact differential is ...
Earth orbit (yellow) compared to a circle (gray) Earth orbits the Sun at an average distance of 149.60 million km (8.317 light minutes, 92.96 million mi) [1] in a counterclockwise direction as viewed from above the Northern Hemisphere. One complete orbit takes 365.256 days (1 sidereal year ), during which time Earth has traveled 940 million km ...
Sun path, sometimes also called day arc, refers to the daily and seasonal arc -like path that the Sun appears to follow across the sky as the Earth rotates and orbits the Sun. The Sun's path affects the length of daytime experienced and amount of daylight received along a certain latitude during a given season.
The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G, contains a Hamiltonian path, a path that visits every vertex in the graph exactly once. The problem may specify the start and end of the path, in which case the starting vertex s and ending ...
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph. A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.