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Manhattan Structure

Manhattan (also known as Taxicab or L1) distance.

Namespace:  Accord.Math.Distances
Assembly:  Accord.Math (in Accord.Math.dll) Version: 3.8.0
Syntax
[SerializableAttribute]
public struct Manhattan : IMetric<double[]>, 
	IDistance<double[]>, IDistance<double[], double[]>, 
	IMetric<int[]>, IDistance<int[]>, IDistance<int[], int[]>
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The Manhattan type exposes the following members.

Methods
  NameDescription
Public methodDistance(Double, Double)
Computes the distance d(x,y) between points x and y.
Public methodDistance(Int32, Int32)
Computes the distance d(x,y) between points x and y.
Public methodEquals
Indicates whether this instance and a specified object are equal.
(Inherited from ValueType.)
Public methodGetHashCode
Returns the hash code for this instance.
(Inherited from ValueType.)
Public methodGetType
Gets the Type of the current instance.
(Inherited from Object.)
Public methodToString
Returns the fully qualified type name of this instance.
(Inherited from ValueType.)
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Extension Methods
  NameDescription
Public Extension MethodHasMethod
Checks whether an object implements a method with the given name.
(Defined by ExtensionMethods.)
Public Extension MethodIsEqual
Compares two objects for equality, performing an elementwise comparison if the elements are vectors or matrices.
(Defined by Matrix.)
Public Extension MethodTo(Type)Overloaded.
Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)
Public Extension MethodToTOverloaded.
Converts an object into another type, irrespective of whether the conversion can be done at compile time or not. This can be used to convert generic types to numeric types during runtime.
(Defined by ExtensionMethods.)
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Remarks

Taxicab geometry, considered by Hermann Minkowski in 19th century Germany, is a form of geometry in which the usual distance function of metric or Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates. The taxicab metric is also known as rectilinear distance, L1 distance or L1 norm (see Lp space), city block distance, Manhattan distance, or Manhattan length, with corresponding variations in the name of the geometry. The latter names allude to the grid layout of most streets on the island of Manhattan, which causes the shortest path a car could take between two intersections in the borough to have length equal to the intersections' distance in taxicab geometry.

References:

See Also