- #1

Organic

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Hi,

Take for example these 5 equations:

Set

Now, let us say that the above equations represent some cardinal's equation-trees of set

Let us say that any cardinal which is > 1 is the continuous side of the cardinal's equation-tree.

Let us say that any cardinal which is = 1 is the discrete side of the cardinal's equation-tree.

x#' stands for dummy variable of xor(|{x1}|,|{x2}|,|{x3}|,|{x4}|) ,

and we get 9 variations:

As you can see above, the quantity in each cardinal's equation-tree is being kept, while the structural symmetry-degree and the information's clarity-degree of each tree are changed.

My question is:

What mathematical branch deals with this kind of information's structures ?

Organic

Take for example these 5 equations:

Code:

```
1 1 1
+ 2 = + 2 = +
1 1 1
4 = + 4 = + 4 = +
1 1 1
+ + 2 = +
1 1 1
1 1
+ 2 = +
3 = 1 3 = + 1
4 = + + 4 = +
1 1
1 1
```

Set

**= {{x1},{x2},{x3},{x4}}, where each x# is some number.***A*Now, let us say that the above equations represent some cardinal's equation-trees of set

**.***A*Let us say that any cardinal which is > 1 is the continuous side of the cardinal's equation-tree.

Let us say that any cardinal which is = 1 is the discrete side of the cardinal's equation-tree.

x#' stands for dummy variable of xor(|{x1}|,|{x2}|,|{x3}|,|{x4}|) ,

and we get 9 variations:

Code:

```
1 is xor(x1',x2',x3',x4') (1:16)
+
1 is xor(x1',x2',x3',x4') (1:16)
4 = +
1 is xor(x1',x2',x3',x4') (1:16)
+
1 is xor(x1',x2',x3',x4') (1:16)
1 is xor(x1',x2') (1:8)
2 = +
1 is xor(x1',x2') (1:8)
4 = +
1 is xor(x1',x2',x3',x4') (1:16)
+
1 is xor(x1',x2',x3',x4') (1:16)
1 is x1' (1:4)
2 = +
1 is x1' (1:4)
4 = +
1 xor(x1',x2',x3',x4') (1:16)
+
1 xor(x1',x2',x3',x4') (1:16)
1 is xor(x1',x2') (1:8)
2 = +
1 is xor(x1',x2') (1:8)
4 = +
1 is xor(x1',x2') (1:8)
2 = +
1 is xor(x1',x2') (1:8)
1 is x1' (1:4)
2 = +
1 is x1' (1:4)
4 = +
1 is xor(x1',x2') (1:8)
2 = +
1 is xor(x1',x2') (1:8)
1 is x1' (1:4)
2 = +
1 is x1' (1:4)
4 = +
1 is x1' (1:4)
2 = +
1 is x1' (1:4)
(From here each x#' has 3 elements)
1 is xor(x1',x2',x3') (1:9)
+
3 = 1 is xor(x1',x2',x3') (1:9)
4 = + +
1 is xor(x1',x2',x3') (1:9)
1 is |{x4}| (1:1)
(From here each x#' has 2 elements)
1 is xor(x1',x2') (1:4)
2 = +
3 = + 1 is xor(x1',x2') (1:4)
4 = +
1 is |{x3}| (1:1)
1 is |{x4}| (1:1)
1 is |{x1}| (1:1)
2 = +
3 = + 1 is |{x2}| (1:1)
4 = +
1 is |{x3}| (1:1)
1 is |{x4}| (1:1)
```

As you can see above, the quantity in each cardinal's equation-tree is being kept, while the structural symmetry-degree and the information's clarity-degree of each tree are changed.

My question is:

What mathematical branch deals with this kind of information's structures ?

Organic

Last edited: