As long as it's a new algebraic form, there are corresponding new mathematical concepts.
For example, in superspiral space algebra, there's a field of spiral numbers where values exist in a spiral form within space. The basic unit of this field is the "space spiral" from transcendental geotry, which extends along an imaginary spiral axis.
In such fields, the rules of operation are influenced by the spiral paths; for instance, when two spiral numbers are multiplied, their paths form a new pair of spirals in space to determine the imaginary and real parts of the result.
Similarly, in transcendental geotry, there is a concept of heterogeneous and multi-dinsional geotry. In such geotry, the dinsions of space are not confined to integers but can involve transcendental dinsions, whose existence is guided by the special properties of spiral paths.
This leads to objects in heterogeneous and multi-dinsional geotry that may possess both integer dinsions and transcendental dinsions. For example, a curve may be one-dinsional in integer dinsions but exhibit so spiral property in transcendental dinsions, although this is just the simplest case.
There are even more complex situations where, in the structures of heterogeneous and multi-dinsions, geotric structures show completely different physical characteristics.
This also forms the theoretical basis for the adjustable mass gap.
Which spiral properties are exhibited is determined by the calculation rules of the spiral number field.
Look, just these two basic concepts of new algebra and new geotry have spawned a bunch of new terms.
Spiral number field, heterogeneous and multi-dinsional geotry, space spiral, spiral axis, spiral path, transcendental dinsions... and so on.
These new terms also involve new units.
For instance, in the spiral number field, the basic unit is a special nuric value called "rotational ordinate," expressed as: [s = r \\cdot e^{iheta}].
It involves the real part, the angle on the imaginary spiral axis, and the imaginary part.
As for the most basic unit in transcendental geotry, the transcendental elent, it's even more complex.
It includes the most important feature, transcendence, as well as non-Euclidean properties, and it also has dynamic evolutionary functions and connections with superspiral space algebra.
Because they can move along a transcendental path, forming a special geotric evolution process, certain functions and transcendental curves with special significance have been constructed.
For instance, a basic transcendental elent (T) is expressed as (T = t_0 t_1 \\cdot e^{iheta}), where (t_0) and (t_1) represent the real and imaginary parts, and (e^{iheta}) describes the direction of the transcendental path.
These pioneering concepts and units are interconnected and genuinely difficult to translate perfectly and appropriately.
Especially the concept of heterogeneous and multi-dinsions, Qiao Ze still has not figured out how to translate it into English.
Should it be written directly as Heterogeneous dinsionality?
The above can be understood as heterogeneous dinsions, but this is entirely different from the kind of dinsional structure the concept itself aims to represent. It's even worse than a transliteration translation like "robustness."
Not to ntion translating all of this into concepts that English-speaking scholars can quickly understand.
But if Qiao Ze had his own journal now, it would save him a lot of trouble.
He wouldn't need to think about how to translate these new concepts necessary for proving the Yang-Mills mass problem into English.
Even the defense could be done with the Chinese version.
Once the paper is published in the journal, others will naturally take care of this for him, translating all these abstract concepts thorough and neat.
Geniuses often have a bit of OCD, or perhaps it is more accurate to say they are paranoid.
Qiao Ze is no exception. He has indeed spent many days turning over in his mind how to translate the term heterogeneous and multi-dinsional geotry from transcendental geotry into English. It seems that, other than transliteration, there is no better way.
But Qiao has always believed that transliteration lacks the beauty of mathematics. He fundantally cannot tolerate giving such a crude translation from the bottom of his heart, so he might as well leave this task to others. Native English-speaking countries may be able to find more obscure words to describe this wonderful dynamic mathematical structure.
Luckily, to really understand his paper, one needs to seriously read and understand each concept. If it's just for verification, then summarizing the patterns of equation solutions is enough.
...
Zhang Mingrui and Zhou Liang weren't surprised when they heard Qiao Ze's nod of approval for their idea.
This young man's achievents were so significant that he could bypass the need for a report eting; he likely cared even less about where he would publish his papers in the future.
Whether it was "Mathematics Annual" or the "New Discoveries in Mathematics and Physics" they envisaged, it was rely a vessel. Both suspected that for Qiao Ze, there really was no difference. If a person truly doesn't care about public opinion and resides in a country or region with legal protection, they can indeed do what they wish within their circle.
If that person also possesses an irreplaceable value of extre importance to the community, theoretically, they can do as they please.
Without a doubt, Qiao Ze fulfilled all these criteria.
"The journal na can be 'New Discoveries in Mathematics and Physics,' published by the Xilin Institute of Mathematics, with the Science Academy's Departnt of Mathematics and Physics serving as the guiding body, but my ntor Professor Li Jian Gao will join the Departnt next year as an associate mber," said Qiao Ze, affirming the two's suggestion and also stating his conditions.
As usual, simple and direct, then a final decision.
It wasn't too different from the conditions proposed yesterday by Xu Dajiang, and both parties broadly accepted them.
There wasn't much choice, as the journal, still in the planning stages, was based on the new theories pioneered by Qiao Ze.
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