Archiv der Kategorie: information networks

Information networks: special closed paths, to touch all corner points in a 3 – dimensional cube. part 9

Erstellt am Oktober 30, 2015 von Claus Martin

In an information network we can investigate a lot of interesting questions. Typical ones in multidimensional cubes are: what closed  path, touching all corner points, has the maximal length what closed path, touching all corner points, has the minimal length … Weiterlesen →

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Information networks: visualization of paths in multidimensional cubes part 8

Erstellt am Oktober 29, 2015 von Claus Martin

During  our  evolution a very efficient brain structure was developed in the human brain, to create an image from what we see.  And therefore it is always very helpful to use  a visual representation for abstract concepts, which we want … Weiterlesen →

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Information networks: applied to multidimensional cubes part 7a

Erstellt am Oktober 27, 2015 von Claus Martin

I have found a simpler solution, but not as simple, as I hoped. I had hoped, that it would be possible, to find some pattern, how  the number of squares depend on the dimenions of the cube. The problem is, … Weiterlesen →

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Information networks: applied to multidemensional cubes part 7

Erstellt am Oktober 22, 2015 von Claus Martin

In the following posts we will explain, how to appy the findings about networks, to analyze the structure of multidimensional cubes. We investigate the multidimensional cubes in orthogonal, Euklidean spaces, that means: the coordinate axes are orthogonal in Euklidean spaces … Weiterlesen →

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Information networks: how to construct paths in incomplete networks part 6

Erstellt am Oktober 22, 2015 von Claus Martin

Just some remarks about incomplete networks, which are very important, because in most applications we will face them. Up to now we have focused on: complete networks complete networks without feedback loops and have shortly mentioned also directed complete networks, … Weiterlesen →

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Information networks: how to construct paths part 5

Erstellt am Oktober 21, 2015 von Claus Martin

Here we show, how paths from order 3 to order n  can be constructed in complete networks. We use the Software program Mathematica for it. We consider the numbers of the points in the network to be a mathematical set. … Weiterlesen →

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Information networks: paths in multidimensional cubes part 4

Erstellt am Oktober 20, 2015 von Claus Martin

The following shall demonstrate, how powerful the concept of information networks is. We apply this concept, to calculate the paths in multidimensional cubes. People, who have not studied mathematics or physics, in general have no idea, what a space with … Weiterlesen →

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Information networks: number of different paths. part 3

Erstellt am Oktober 20, 2015 von Claus Martin

The minimal path in an information network has 3 points ( and therefore the path has the order k=3 ) one starting point one mid point one target point and we can specify each path by a  sequence of figures  … Weiterlesen →

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Information networks: graphical representations part 2

Erstellt am Oktober 20, 2015 von Claus Martin

To investigate information networks,  it helps, to switch between graphical and algebraic representations of a network. Here are given different graphical representations of a complete network of order 3. Each representation may be better suited, to analyze a particular application. … Weiterlesen →

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Information networks: some mathematical basics. part 1

Erstellt am Oktober 19, 2015 von Claus Martin

Information networks can be represented by points and connections between them. In general the points and their connections do not have any geometrical meaning. But of course, if an information network represents a travelling route  on a map for instance, … Weiterlesen →

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