rectifiable path - meaning and definition. What is rectifiable path
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What (who) is rectifiable path - definition

PROPERTY OF A CURVE
Rectifiable curve; Rectifiable path; Arclength; Length of a curve; Curve length; ArcLen; Length of an arc; Length of arc; Chord distance; Length of a function; Non-rectifiable curve; Curvilinear length; Infinite length; Chordal distance; Circular arc length; Length (mathematics); Curve rectification; Signed arc length; Signed length
  • Fermat's method of determining arc length
  • When rectified, the curve gives a straight line segment with the same length as the curve's arc length.
  • Approximation to a curve by multiple linear segments, called rectification of a curve.
  • The Koch curve.
  • Arc length ''s'' of a [[logarithmic spiral]] as a function of its parameter ''θ''.
  • Quarter circle

Path dependence         
ACTIONS IN THE PRESENT WHICH ARE CONSTRAINED BY ACTIONS IN THE PAST
Path dependency; Path dependent; Path-dependence; Path-dependent; Path-dependency; Path independence; Path dependance
Path dependence is a concept in economics and the social sciences, referring to processes where past events or decisions constrain later events or decisions. It can be used to refer to outcomes at a single point in time or to long-run equilibria of a process.
absolute path         
  • Windows]] [[command shell]] showing filenames in a directory
GENERAL FORM OF THE NAME OF A FILE OR DIRECTORY; RESOURCES CAN BE REPRESENTED BY EITHER ABSOLUTE OR RELATIVE PATHS
Absolute path; Relative path; Uniform Naming Convention; Universal Naming Convention; File path; Path (computer science); Pathname; Absolute path (computing); Full path; Windows path; Path name; Unix path; UNC path; Relative referencing; UNC address; Pathnames; Folder path; Directory path; Directory separator; Filepath
<file system> A path relative to the root directory. Its first character must be the pathname separator. (1996-11-21)
Path (computing)         
  • Windows]] [[command shell]] showing filenames in a directory
GENERAL FORM OF THE NAME OF A FILE OR DIRECTORY; RESOURCES CAN BE REPRESENTED BY EITHER ABSOLUTE OR RELATIVE PATHS
Absolute path; Relative path; Uniform Naming Convention; Universal Naming Convention; File path; Path (computer science); Pathname; Absolute path (computing); Full path; Windows path; Path name; Unix path; UNC path; Relative referencing; UNC address; Pathnames; Folder path; Directory path; Directory separator; Filepath
A path 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.

Wikipedia

Arc length

Arc length is the distance between two points along a section of a curve.

Determining the length of an irregular arc segment by approximating the arc segment as connected (straight) line segments is also called curve rectification. A rectifiable curve has a finite number of segments in its rectification (so the curve has a finite length).

If a curve can be parameterized as an injective and continuously differentiable function (i.e., the derivative is a continuous function) f : [ a , b ] R n {\displaystyle f\colon [a,b]\to \mathbb {R} ^{n}} , then the curve is rectifiable (i.e., it has a finite length).

The advent of infinitesimal calculus led to a general formula that provides closed-form solutions in some cases.