Lord of Arcane

Chapter 1159 The Impact of Dimensionality Reduction Analysis and Transformation
The Tower of Time, the plane exploration layer, and the operation room dedicated to plane scholars.

Xia Duo made some operations to set the plane exploration array to active exploration, and the target was the [yellow sand demiplane] anchored by the Tower of Time, and ordered the tower spirit to project the result.

After a while, six sets of data were found in the center of the operating room, and each set of detection data was a community composed of more than 1200 simplified arcane geometric symbols, which were separated from each other.

Such a set of data can be called "1200-dimensional data set" on the earth, and the plane exploration array describes the time-space state detected by the perception field in the etheric layer through these more than 1200 dimensions.

Information related to the plane is hidden in it. Of course, this data must not only contain information related to the plane, but also more information, which may reflect part of the nature of this world.

Of course, it is mainly related to the plane, after all, it is the data collected by the plane exploration array!
Just like describing the state of a person, you can use the three dimensions of height, weight, and sweetness, but there are more.

To describe the space-time state of the ether layer, of course, there can be more dimensions, and it is not limited to more than 1200 dimensions.

Of course, the 1200 dimensions are just that Xia Duo simply and rudely regarded more than 1200 arcane geometric figures as a dimension, so there are as many as 1200 dimensions.

Maybe there are only 120 dimensions in it, and each dimension uses 10 arcane geometric figures to describe the specific parameters.

As for the real situation, Xia Duo is still unable to draw a conclusion. It is no problem to treat it as a 1200-dimensional data set for the time being.

The process of data analysis is actually the process of reducing the dimensionality of data, which is just a little more cumbersome now.

On Earth, not to mention 1200-dimensional data, even 12000-dimensional data is not uncommon, but there are computers on Earth that can be used, and Xia Duo can only manually reduce the dimension here.

But it's not too complicated, just figure out the main context, just like what he's going to do now——

The six sets of data reflecting the space-time state of the etheric interlayer are all recorded by the plane exploration array in the perception field projected in the etheric interlayer, including the [yellow sand half-plane] data, among which the [yellow sand half-plane] is relatively easy to find Surface] The explicit features in the etheric interlayer.

After removing the data deviation caused by the autonomous migration of the demiplane in the etheric interlayer, what is obtained is the relatively stable external characteristics of the [yellow sand demiplane] in constant time and space!

The current Xia Duo is not interested in the etheric plane for the time being. Of course, it can also be said that he is not able to study this for the time being. He is more concerned about the plane itself.

Therefore, after the dimensionality reduction of these six sets of 1200-dimensional data, they are actually the explicit feature data of the yellow sand demiplane in constant space-time. This is a brand new data set with only 672 dimensions.

This data is still very complicated, but Xia Duo is not going to study all the correspondences between these 672 feature points and the demiplane of yellow sand.

All he wants is a part of it!

Then, Xia Duo took out a long-used notebook from his portable space, which was the data of the apparent characteristics of the yellow sand half-plane in constant time and space that he came here to record before the war on the green plane.

Or to put it more bluntly, it is the apparent characteristic data of the yellow sand half-plane in constant time and space before the plane transformation.

Comparing the two in this way, more than half of the feature points that are still unclear for the time being are eliminated, and the remaining 100 feature points are the changes in the half-plane of yellow sand in the etheric layer caused by the transformation of the plane.

From 1200-dimensional data to 100-dimensional data, the simplification is not one or two points.

In fact, Xia Duo can also carry out more targeted transformation experiments to determine the source changes of the planes corresponding to more characteristic points.

This is just the half-plane of yellow sand, and there can be [Azurite plane] or other planes behind it.

And after this series of experiments, a clearer relationship between the plane and the space-time state of the etheric interlayer can be obtained, and a more accurate and practical model of the explicit characteristics of the plane can be obtained, so as to improve the discovery of new The efficiency of the plane!
……

After finding the key characteristic points of the transformation of the plane during this period to the state change of the [Yellow Sand Half-Plane] in a constant space-time, Xia Duo then substituted it into the time-space state of the ever-changing etheric interlayer.

In order to find out the positional change of this group of 100-dimensional data sets in the original 1200-dimensional data set, that is, the actual influence of plane transformation on the yellow sand demiplane in the etheric interlayer.

Or in terms of the earth, it is to find the physical meaning behind the data changes!
Data analysis itself is boring, but if you connect it to various specific things, it becomes interesting, at least it is a way to have fun.

While retrieving the part of the information about the perception field of the plane exploration array in the blueprint of the Tower of Time from the mind, at the same time combining the space-time state of the etheric space corresponding to this part of the information to analyze the actual significance of the group of 100 multi-dimensional data sets.

This process continued until the end of the month. Of course, during this period, Xia Duo did not forget to record its new external characteristic data in the etheric interplanetary after the root transformation of the yellow sand demiplane every day.

After such long-term and uninterrupted data collection, research and analysis, at the end of the month, Xia Duo finally came to a preliminary conclusion about the transformation of the plane——

The transformation of the plane, especially the transformation of the root, has a very profound impact on the plane, which will directly change the space-time relationship of the plane in the etheric layer!

But such a transformation will not change the anchoring state of the demiplane itself.

To put it simply, the state of the plane will indeed change, but the law of plane migration after the change has not changed.

Similar to the change in the mass of a certain planet in the earth universe, this will cause its orbit in the star system to change, but it is not convenient to orbit a star itself.

The Tower of Time's anchoring of the half-plane is not to restrict its autonomous migration. Although it is indeed possible to do so, the anchoring of the yellow sand half-plane is only to calculate its migration law.

Its relationship with the main plane in the etheric layer is similar to the relationship between planets and stars. As long as the migration law is determined, its exact position can be located at all times.

The anchoring of the subplane is similar, it is the recording position.

The difference is that the secondary plane is similar to the main plane, and does not migrate autonomously. The change of its space-time position in the etheric interlayer is more due to the change of the etheric interlayer itself.

Therefore, the anchoring of the subplane is simpler than the anchoring of the demiplane. As long as the six-dimensional coordinates of the subplane relative to the element plane are recorded, it will not change easily. (It is not the six-dimensional coordinates of the internal position, but the plane itself. Macroscopically, as long as the space-time distance from the main plane in the etheric layer is determined, it is equivalent to having a relatively fixed plane coordinates)

The actual teleportation will also be simpler than the demiplane, of course, this only refers to the difficulty of teleporting between two planes at the same space-time distance.

Under normal circumstances, the distance between the secondary plane and the main plane in the space-time layer of the ether is "farther", while the demiplane is closer, and some even directly restrict their autonomous migration and connect them to the main plane up.

Most teleportation spells across (secondary) planes start with the 8th ring, and if the demiplane completely overlaps with the main plane, you can even walk in directly without any spells.

Even if they don't completely overlap, as long as the self-transfer feature is limited, generally only a 5th-level spell is needed to complete the cross-plane teleportation, and even closer, a 3rd-level spell is barely feasible.

(End of this chapter)