Metric Modeling and Representation of 4D Data through 3D Vector Tensoring
In representational, metric analytics, it is often made use of binary vectors, classically drafted in two-dimensional (2D) grids. However, these do not reflect complexity in manifest, part-observable reality.
Tensors be 4D-computed in order to be 3D-geometrically represented. This can be done by applying data to a three-dimensional grid containing dynamic, non-binary-graph and 3D vector objects changing, in different scenarios, on the time axes, generating multiple grids. Scenarios can be limited by applying probability weighing or targeting specific results, by eliminating transitions and breaks, or else intermittent vector changes.
If one attempted to simplify the Tensor representation neglecting the shift representations in time, one would replace many 3D, non-binary-graph vector objects with fewer complex, but 4D-grafically representable objects in time, resulting in vector folding. This is of benefit in posterio, for typical aggregates. In practical applications, and in comparative settings, one will rather apply unfolded 3D objects in stage representations, adhering to 3D Vector Tensoring, or Plurigrafity.
Thorsten Koch
Your note is fairly general, and you are the only person in the Internet to use the term "plurigrafity" . Even the more common spelling "plurigrafii" is only yours. I think you will find more connections if you simply say what kinds of things you want to look at. Normally, "4D" is simply 3D with time, or more commonly "3D video" or "3D television" or "dynamic 3D simulation" or "3D modeling" (with the implication that you are looking at things that change with time or various dimensions of the problem). I see it a lot in computer gaming, climate modeling, astrophysics, fluid dynamics, and a host of time series studies.
I found a list of what might be your papers at https://scholar.google.com.br/citations?user=szzQXkwAAAAJ&hl=ja and I read "European Immigration to the United Kingdom, its Relative Benefits and Politico-Economic Implications". I was surprised, with a problem requiring visualization of whole countries and regions, you have not a single diagram or equation. And you did not mention the Internet and global workers at all. Physically moving people around probably affects the world, and countries, less than global communication and collaboration.
I follow the whole Internet, mostly topics that affect all countries. It started with individual country modeling, but switched to global issues decades ago. My best guess is what you might be talking about is "3D simulations", or games (not in a pejorative sense), or generative models.
Ignoring, for the moment, the methods you might use. What problems in the real world do you need or want to address? Maybe it is just me, but I find it easier to focus on the entities (nouns and things) first before dyanamics (verbs and actions). Decide what you want to work with, then choose or create the appropriate tools.
Sorry, I do not know quite why your project floated to my list. I think ResearchGate is rather disorganized and inefficient. But not much choice, unless you build your own.
Use words and terms that many people understand, and you can speak to wider groups and topics. The simplest and clearest words, the most truthful and lasting words, have the greatest impact and permanence.
Richard Collins, The Internet Foundation
Dear Richard Collins,
Indeed, my discussion note is rather general. But, surprise, I use a new term, 3D Vector Plurigrafity. It is not in search of a scoop but in order to promote a new quality of graphic modeling based on statistical analysis that I introduce the term. I would have referred in my discussion note to the challenge of using form, color, and changes (or shifts) in vector graphics to portray complex phenomena as they evolve or, more specifically, as their analyses evolve. 3D alone is not a term I endorse for most anything plastic, since a 3D grid without the time factor, not to mention color, is already 3D, however static. 3D Vector Plurigrafity is a process, not an object.
If you conduct a search for my name, you will find a comment to one of a number of my articles, on Brexit, saying that the latter text is dated. In fact, the paper was a short synthesis paper, graded summa cum laude by University of Mainz, uniting much of the available research on the linkage between Brexit and migration before the popular EU referendum. And I changed my mind about the UK leaving the EU...
The Internet, contrary to your allusion, is not an absolute reflection of the world as a whole, and when it comes to the Brexit discussion, which has nothing much to do with my discussion note, it is more question of the National Health System (NHS) and other sectors than the online world.
I disgree with your judgement that ResearchGate is disorganized. Since you provided a factual comment, I am quite sure you are an academic capable of drawing conclusions as to my discussion note, which you did. I grant you that. And I grant ResearchGate with its algorithm that you were selected.
Composite words as in German are rare in English, and are often reduced to parts of their original elements, take 'Edutainment,' for instance. As long as a new term is defined, which I think is sufficiently the case with 'Plurigrafity,' or more fully 3D Vector Plurigrafity, given my note along with my comment, I do not see why, per se, it should not be a lasting word. Of course, you have the right, as everyone, to forget, Richard Collins. I thank you for your reply.
Sincerely
Thorsten Koch, MA, PgDip
- Badges
- Science topic
- Similar topics
- Engineering
- Modeling