Numerical series density - page 11

 

Let's say you take as density a number around which there are other numbers at a distance of no more than 8.

the delta would be 8

Take number 13, it has deltas associated with the numbers.

delta 3 is the number 10

2 - 15

8 - 21.

we get a series of 10, 13, 15, 21...

you do this with each number, then you remove the groups with repeating numbers and leave the highest densities

 
Vyacheslav Kornev:
I don't know what you did, it has nothing to do with the algorithm at all, I'll try to rephrase

Yes, I didn't take into account that the area is expanding, then I got the following table

Class>12345Total:
10 0 0 1 1 2 4
13 0 1 2 2 2 7
15 0 1 1 1 2 5
21 0 0 0 0 0 0
31 0 0 0 0 0 0
40 0 1 1 1 1 4
42 0 1 1 2 2 6
46 0 0 0 1 2 3
51 0 0 0 0 2 2
56 0 0 0 0 1 1
65 0 0 0 0 0 0
71 0 0 0 0 0 0
78 0 0 1 1 1 3
81 0 0 1 1 1 3
190 0 0 0 0 0 0
223 0 0 0 0 0 0
232 0 0 0 0 0 0
250 0 0 0 0 0 0
260 0 0 0 0 0 0
545 0 0 0 0 0 0
Total: 0 4 8 10 16

 

If you add a grade 6 (delta with a value of 6), you get the following table

Class>123456Total:
10 0 0 1 1 2 2 6
13 0 1 2 2 2 2 9
15 0 1 1 1 2 3 8
21 0 0 0 0 0 1 1
31 0 0 0 0 0 0 0
40 0 1 1 1 1 2 6
42 0 1 1 2 2 2 8
46 0 0 0 1 2 3 6
51 0 0 0 0 2 2 4
56 0 0 0 0 1 1 2
65 0 0 0 0 0 1 1
71 0 0 0 0 0 1 1
78 0 0 1 1 1 1 4
81 0 0 1 1 1 1 4
190 0 0 0 0 0 0 0
223 0 0 0 0 0 0 0
232 0 0 0 0 0 0 0
250 0 0 0 0 0 0 0
260 0 0 0 0 0 0 0
545 0 0 0 0 0 0 0
Total: 0 4 8 10 16 22

As you can see, the number 71 and 65 appeared compared to my algorithm because the delta between 65 and 71 is 6.

 
The bottom line is this. If you want to find the points with the highest density in the whole number series, you do as you did a couple of pages ago.

And if you just want to find clusters.
It's not going to be the density centre of the whole number series.

We'll just find clusters, yes, but they won't have anything to do with the whole number series. They're just clusters of different levels. Different areas. Whichever delta you take is the area.
 
-Aleks-:

If you add a grade 6 (delta with a value of 6), you get the following table

Class>123456Total:
10 0 0 1 1 2 2 6
13 0 1 2 2 2 2 9
15 0 1 1 1 2 3 8
21 0 0 0 0 0 1 1
31 0 0 0 0 0 0 0
40 0 1 1 1 1 2 6
42 0 1 1 2 2 2 8
46 0 0 0 1 2 3 6
51 0 0 0 0 2 2 4
56 0 0 0 0 1 1 2
65 0 0 0 0 0 1 1
71 0 0 0 0 0 1 1
78 0 0 1 1 1 1 4
81 0 0 1 1 1 1 4
190 0 0 0 0 0 0 0
223 0 0 0 0 0 0 0
232 0 0 0 0 0 0 0
250 0 0 0 0 0 0 0
260 0 0 0 0 0 0 0
545 0 0 0 0 0 0 0
Total: 0 4 8 10 16 22

As you can see, the number 71 has appeared compared to my algorithm because the delta between 65 and 71 is 6.

Yes, what's the problem. We have a series of only 2 numbers.

You've set the density within 6.

You can set the minimum. Do not take into account numbers with a minimum delta of less than 2 or 3
 
We find an area within which there are at least 2 numbers.

I wrote that initially take as many numbers as you want for density.
 
And secondly, even if you haven't written the initial criterion, you can put in ascending order the area where there are more numbers
 
Area with delta 3 - one number of numbers

An area with a delta of 8 - and more areas. And numbers. A different order.

You can view areas in all variants
 
Vyacheslav Kornev:
The bottom line is this. If you need to find the points with the highest density, do as you did a couple of pages ago.
And if you just want to find clusters.
It's not going to be the density centre of the whole number series.
We'll just find clusters, yes, but they won't have anything to do with the whole number series. They're just clusters of different levels. Different areas. Whichever delta you take is the area.

So far the bottom line is that there is no complete algorithm.

The largest density is the abstraction - there we found the numbers that are closest to all the other numbers.

Clusters we could not divide into groups - to classify - I understand that we need to go through all classes, and determine the density of each group, then compare the density.

About the area on a straight line - I'm not sure...

In general, am I understanding you correctly?

 
You de know that without constants, nothing works.

A man, when he looks at the sky, still
Wouldn't mistake a cluster of 2-3 stars for a cluster. A 5 run is it? And at what distance. Roughly, at least, the brain will accept