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Hypercube Line Picking -- from Wolfram MathWorld

Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...



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Hypercube Line Picking -- from Wolfram MathWorld

https://mathworld.wolfram.com/HypercubeLinePicking.html

Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...



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https://mathworld.wolfram.com/HypercubeLinePicking.html

Hypercube Line Picking -- from Wolfram MathWorld

Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...

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      Hypercube Line Picking -- from Wolfram MathWorld
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      Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...
    • description
      Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...

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      Hypercube Line Picking -- from Wolfram MathWorld
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      Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...

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      Let two points x and y be picked randomly from a unit n-dimensional hypercube. The expected distance between the points Delta(n), i.e., the mean line segment length, is then (1) This multiple integral has been evaluated analytically only for small values of n. The case Delta(1) corresponds to the line line picking between two random points in the interval [0,1]. The first few values for Delta(n) are given in the following table. n OEIS Delta(n) 1 -- 0.3333333333... 2 A091505...
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