Chapter 1159: Dimensionality Reduction Analysis, Impact of Transformation

The Tower of Time, the Plane Exploration Floor, and the operation room dedicated to Plane Scholars.

Xia Duo set the Plane Exploration Array to active exploration, targeting the Yellow Sand Half-Plane that had been anchored by the Tower of Time, and ordered the Tower Spirit to project the results.

After a few moments, six sets of data were in the center of the operation room, each of which was a community of more than 200 simplified arcane geometric symbols, bounded by each other.

Such a set of data can be called a "200-dimensional data set" on the earth, and the dimensional exploration array uses these more than 200 dimensions to describe the space-time state detected by the sensing field in the etheric interlayer.

Of course, this data must not only contain plane-related information, 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 sweet food, but there can be more.

To describe the state of space-time in the interetheric layer, of course, there can be more dimensions, not limited to, more than 200 dimensions.

Of course, these 200 dimensions are only 200 dimensions when Xia Duo simply and rudely treats more than 200 arcane geometric figures as one dimension.

Perhaps there are only 20 dimensions in it, and each dimension has 0 arcane geometry to describe specific parameters.

As for the real situation, Xia Duo can't come to a conclusion at this time, and it is no problem to treat it as a 200-dimensional dataset for the time being.

The process of data analysis is actually the process of reducing the dimension of data, and now it is just a little more cumbersome.

On the earth, let alone 200-dimensional data, even 2000-dimensional data is not unusual, but there are computers on the earth that can be used, and here Xia Duo can only manually reduce the dimension.

But it's not so complicated, just figure out the main thread, like what he's going to do now-

The six sets of data reflecting the space-time state of the aetheric interlayer are all recorded by the plane exploration array in the perception field projected by the aetheric interlayer, including the yellow sand half-plane data, and the obvious characteristics of the yellow sand hemiplane in the aetheric layer are relatively easy to find.

After removing the data bias caused by the autonomous migration of the half-plane in the etheric layer, what is obtained is the relatively stable explicit feature of the half-plane of yellow sand in constant space-time!

The current Xia Duo is not very interested in the etheric interlayer 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 200-dimensional data, they are actually the explicit feature data of the Huangsha half-plane in constant space-time, which is a brand-new dataset with only 672 dimensions.

This data is still very complicated, but Xia Duo is not trying to study all the correspondences between these 672 feature points and the yellow sand half-plane.

That's all he wants!

Then, Xia Duo took out a notebook from his space that had long been used up, which was the explicit characteristic data of the Yellow Sand Halfplane in constant space-time that he had come here to record before the War of the Green Plane of Oz.

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

In this comparison, most of the feature points that are still incomprehensible for the time being are directly excluded, and there are more than 100 feature points left, which are the changes in the yellow sand half plane in the etheric layer due to the transformation of the plane.

From 200-dimensional data to 00-dimensional data, it is not a point or two points that are simplified.

In fact, Xia Duo can also carry out more targeted modification experiments to determine the dimensional root changes corresponding to more feature points.

This is only the yellow sand half-plane, and there can be an azurite plane behind it, or some other plane.

After this series of experiments, a clearer correlation between the plane and the space-time state of the etheric layer can be obtained, and a more accurate and practical model of the explicit features of the plane can be obtained, so as to improve the efficiency of discovering new planes!

……

After finding the key feature points of the state change of the Huangsha half-plane in constant space-time during this time, Xia Duo substituted it into the time-changing inter-aetheric space-time state.

In this way, the position change of this set of multi-dimensional 00-dimensional datasets in the original 200-dimensional dataset is found, that is, the actual impact of dimensional transformation on the yellow sand half-plane in the interetheric layer.

Or, in Earth's parlance, finding the physical meaning behind the changes in the data!

Data analysis is boring on its own, but when you relate it to all sorts of concrete things, it becomes fun, or at least a way to enjoy it.

While retrieving the part of the information about the perception field of the plane exploration array in the blueprint of the Tower of Time in his mind, he analyzed the practical significance of the 00 cube in combination with the space-time state of the etheric layer corresponding to this part of the information.

This process continued until the end of the month, during which time Xia Duo did not forget to record the new explicit characteristics of the Yellow Sand Plane after the root transformation of the Yellow Sand Plane every day.

After such a long 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-

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

However, such a modification does not change the anchoring state of the half-plane itself.

To put it simply, the state of the plane does change, but the law of plane migration does not change.

Similar to a change in the mass of a planet in Earth's universe, which causes its orbit within the galaxy to change, the fact that it orbits a star is not inconvenient in itself.

The Tower of Time anchors the half-plane not to restrict its autonomous migration, although it is true that it can do so, but the anchoring of the Yellow Sand half-plane is only to calculate its migration law.

Its relationship with the main plane in the interetheric layer is similar to the relationship between a planet and a star, and as long as the migration law is determined, its exact position can be located at all times.

The anchorage of the secondary plane is similar, and it is the record position.

The difference is that the secondary plane is similar to the main plane and does not undergo autonomous migration, and its position in time and space in the etheric layer changes more because of the change in the etheric layer itself.

Therefore, the anchoring of the subplane is simpler than the anchoring of the half-plane, as long as the six-dimensional coordinates of the subplane relative to the elemental plane are recorded, it will not change easily.

The actual teleportation will also be easier than the half-plane, of course, this only refers to the difficulty of teleporting in two planes at the same distance in time and space.

In general, the distance between the secondary plane and the primary plane in the interaetheric plane is "farther", while the half-plane is closer, and some even directly restrict their autonomous migration and connect them to the main plane.

Most of the cross-plane teleportation spells start in rings, while the half-plane, if it completely overlaps with the main plane, can even walk in directly, and no spells are required.

Even if it doesn't overlap completely, as long as its self-migration characteristics are limited, it generally only takes a 5-ring spell to complete cross-plane teleportation, and even more "closer", a 3-ring spell is barely feasible.

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