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What on earth are '5D optical storage techniques' when they're at home?

by grkvlt 9y ago

grkvlt 9y ago
So, from the Southampton link below: > The information encoding is realised in five dimensions: the size and orientation in addition to the three dimensional position of these nanostructures. I still think this is a bit disingenuous, it is a three-dimensional encoding. Would people consider a colour photograph as encoding four dimensional information when its pixels are represented as (x, y, brightness, colour) for example? How many dimensions does writing have?
- jerf 9y ago
  "Would people consider a colour photograph as encoding four dimensional information when its pixels are represented as (x, y, brightness, colour) for example?" Actually, yes, they do. Computer vision people will envision a photograph as containing the number of dimensions equal to the number of independent numbers used to describe it, so a 1000x1000 RGB image would be considered 3,000,000-dimensional. This is perfectly routine in that world. Writing would be considered n-dimensional. http://www.mathwords.com/n/n_dimensions.htm http://www.mathwords.com/n/n_dimensions.htm In non-math terms you'd probably be justified in saying the question is ill-defined, as what constitutes an orthogonal vector component in a piece of writing is not something that has an universally-obvious answer. But it's not that there are 0 possibilities, it is that there is very many. In a nutshell, the word "dimension" does not simply describe 3-dimensional space, and all other uses are somehow wrong. Dimension applies to any independent element of a vector, and using it to describe spacetime is a tiny, tiny subset of the valid uses of the term. Another very common example is that describing the movement of a free floating in space rigid body is a twelve dimensional value; you need to describe x, y, and z (or equivalant), you need to describe the rotation around x, y, and z, and then you need to describe the velocity of each of those components. That's 12 dimensions. In fact, it's 12 dreadfully mundane dimensions. Incidentally, not included in valid uses of the term is the sci-fi sense of the term; "parallel dimension" is an oxymoron as it expands to "parallel perpendicular measurement", and "alternate dimension", especially with the idea that it is somehow "like" ours but just slightly different, is just a common scifi trope that is gibberish in real terms. I'd say that if one's concept of dimension isn't, as I said, "dreadfully mundane", it's not set up correctly. It's really a boring term; all the ways in which sci-fi makes it sound exciting or mysterious are not part of the real term. If you'd like to recover some of the sense of wonder associated with the term, I'd recommend learning about what it means to have a fractional dimension, in real mathematics: https://www.youtube.com/watch?v=gB9n2gHsHN4 https://www.youtube.com/watch?v=gB9n2gHsHN4
  - Maybestring 9y ago
    >Writing would be considered n-dimensional. It would also be reasonable to model writing as infinite dimensional, since there is no maximum length string.
- abakker 9y ago
  In Machining, it is common to refer to that as 5 dimensions. I.e. a machine would be controlled on: X = Left to right Y = front to back Z = up and down a = axial rotation (yaw) b = radial rotation (pitch) The names and setups can differ on different machines, but this is the common setup because it influences how to physically manipulate a part relative to a machine in order to make it. An example of this might look like this: https://www.youtube.com/watch?v=Fjzhygzafr0&t=9s https://www.youtube.com/watch?v=Fjzhygzafr0&t=9s
- dredmorbius 9y ago
  "Dimensions" as frequently reported on popular press tend to relate to tensors (vectors in ... well ... more than three dimensions) and arrays used to represent them. The dimensions aren't of 3-space + time, but of values that are used for the encoding and reading of data. And in this case, there are five sets of values tracked for the data encoding. Hence, a five-dimensional array. Chalk your dissatisfaction with this up to the lack of clarity in the reporting, not in the actual nature of the technology here. Words with multiple meanings, used (by the reporter) with deliberate imprecision.
mikeyouse 9y ago
Found a good description: > So what exactly do they mean by 5-dimensional? Traditionally, we think of our universe in terms of the 4 known and easily perceptible dimensions. The first 3 dimensions are our directions of movement or an XYZ axis; the 4th dimension is traditionally thought of as time. These 4 dimensions combined are referred to as spacetime. Unfortunately, this can cause quite a bit of confusion. The 5-dimensional discs made by the University of Southampton are not time traveling devices that can view parallel universes, but instead tiny patterns printed on 3 layers within the discs. Depending on the angle they are viewed from, these patterns can look completely different. This may sound like science fiction, but it's basically a really fancy optical illusion. In this case, the 5 dimensions inside of the discs are the size and orientation in relation to the 3-dimensional position of the nanostructures. The concept of being 5-dimensional means that one disc has several different images depending on the angle that one views it from, and the magnification of the microscope used to view it. Basically, each disc has multiple layers of micro and macro level images. https://www.allaboutcircuits.com/news/5d-data-storage-how-does-it-work-and-when-can-we-use-it/ https://www.allaboutcircuits.com/news/5d-data-storage-how-do...

What on earth are '5D optical storage techniques' when they're at home?

by grkvlt 9y ago

What on earth are '5D optical storage techniques' when they're at home?

So, from the Southampton link below: > The information encoding is realised in five dimensions: the size and orientation in addition to the three dimensional position of these nanostructures. I still think this is a bit disingenuous, it is a three-dimensional encoding. Would people consider a colour photograph as encoding four dimensional information when its pixels are represented as (x, y, brightness, colour) for example? How many dimensions does writing have?

jerf 9y ago
"Would people consider a colour photograph as encoding four dimensional information when its pixels are represented as (x, y, brightness, colour) for example?" Actually, yes, they do. Computer vision people will envision a photograph as containing the number of dimensions equal to the number of independent numbers used to describe it, so a 1000x1000 RGB image would be considered 3,000,000-dimensional. This is perfectly routine in that world. Writing would be considered n-dimensional. http://www.mathwords.com/n/n_dimensions.htm http://www.mathwords.com/n/n_dimensions.htm In non-math terms you'd probably be justified in saying the question is ill-defined, as what constitutes an orthogonal vector component in a piece of writing is not something that has an universally-obvious answer. But it's not that there are 0 possibilities, it is that there is very many. In a nutshell, the word "dimension" does not simply describe 3-dimensional space, and all other uses are somehow wrong. Dimension applies to any independent element of a vector, and using it to describe spacetime is a tiny, tiny subset of the valid uses of the term. Another very common example is that describing the movement of a free floating in space rigid body is a twelve dimensional value; you need to describe x, y, and z (or equivalant), you need to describe the rotation around x, y, and z, and then you need to describe the velocity of each of those components. That's 12 dimensions. In fact, it's 12 dreadfully mundane dimensions. Incidentally, not included in valid uses of the term is the sci-fi sense of the term; "parallel dimension" is an oxymoron as it expands to "parallel perpendicular measurement", and "alternate dimension", especially with the idea that it is somehow "like" ours but just slightly different, is just a common scifi trope that is gibberish in real terms. I'd say that if one's concept of dimension isn't, as I said, "dreadfully mundane", it's not set up correctly. It's really a boring term; all the ways in which sci-fi makes it sound exciting or mysterious are not part of the real term. If you'd like to recover some of the sense of wonder associated with the term, I'd recommend learning about what it means to have a fractional dimension, in real mathematics: https://www.youtube.com/watch?v=gB9n2gHsHN4 https://www.youtube.com/watch?v=gB9n2gHsHN4
- Maybestring 9y ago
  >Writing would be considered n-dimensional. It would also be reasonable to model writing as infinite dimensional, since there is no maximum length string.
abakker 9y ago
In Machining, it is common to refer to that as 5 dimensions. I.e. a machine would be controlled on: X = Left to right Y = front to back Z = up and down a = axial rotation (yaw) b = radial rotation (pitch) The names and setups can differ on different machines, but this is the common setup because it influences how to physically manipulate a part relative to a machine in order to make it. An example of this might look like this: https://www.youtube.com/watch?v=Fjzhygzafr0&t=9s https://www.youtube.com/watch?v=Fjzhygzafr0&t=9s
dredmorbius 9y ago
"Dimensions" as frequently reported on popular press tend to relate to tensors (vectors in ... well ... more than three dimensions) and arrays used to represent them. The dimensions aren't of 3-space + time, but of values that are used for the encoding and reading of data. And in this case, there are five sets of values tracked for the data encoding. Hence, a five-dimensional array. Chalk your dissatisfaction with this up to the lack of clarity in the reporting, not in the actual nature of the technology here. Words with multiple meanings, used (by the reporter) with deliberate imprecision.

mikeyouse 9y ago

Found a good description: > So what exactly do they mean by 5-dimensional? Traditionally, we think of our universe in terms of the 4 known and easily perceptible dimensions. The first 3 dimensions are our directions of movement or an XYZ axis; the 4th dimension is traditionally thought of as time. These 4 dimensions combined are referred to as spacetime. Unfortunately, this can cause quite a bit of confusion. The 5-dimensional discs made by the University of Southampton are not time traveling devices that can view parallel universes, but instead tiny patterns printed on 3 layers within the discs. Depending on the angle they are viewed from, these patterns can look completely different. This may sound like science fiction, but it's basically a really fancy optical illusion. In this case, the 5 dimensions inside of the discs are the size and orientation in relation to the 3-dimensional position of the nanostructures. The concept of being 5-dimensional means that one disc has several different images depending on the angle that one views it from, and the magnification of the microscope used to view it. Basically, each disc has multiple layers of micro and macro level images. https://www.allaboutcircuits.com/news/5d-data-storage-how-does-it-work-and-when-can-we-use-it/ https://www.allaboutcircuits.com/news/5d-data-storage-how-do...