Text position for zero values behaves as if the dimension were a very small positive value. Zero angular dimensions between two non-intersecting elements display as linear dimensions but with a degrees symbol. You can drag the ends of the extension lines with handles or move the text position as shown below. Dimension a path segment. Example: Dimension the diameter of a circle. Place a 3D dimension on a pictorial drawing view.
You can use zero and negative values to manipulate geometry in the following dimension types: Smart Dimension between two elements or keypoints from two elements Distance between two elements or keypoints from two elements Smart Dimension angle between two elements or keypoints from two elements Angle between two elements or keypoints from two elements After you place one of the above dimensions, you can change it to zero or a negative value to control element placement.
Unsupported dimensions. Apr 20, 0 0. ZeroNine you say they have to have a magnitude and directon how then do non integer dimensions work and beleive me they exist. Mar 29, 0 0. You can have non integer vectors magnitudes with directions. Does not work you have to be able to describe teh item with a non integer number of cohordinates. In pictorial terms, if a square has equal sides of 4 inches, then its area will be 16 inches. But in order to find the square root of a negative number, you have to imagine a negative area, with four sides of negative length.
It's an impossibility, but, as Mazur argues, a mind-bendingly creative one. Matthias99 Diamond Member. Oct 7, 8, 0 0. Originally posted by: Lynx Does not work you have to be able to describe teh item with a non integer number of cohordinates. Originally posted by: Lynx ZeroNine you say they have to have a magnitude and directon how then do non integer dimensions work and beleive me they exist.
Pudgygiant Senior member. May 13, 0 0. If it was a negative dimension, wouldn't you expect the volume of a -3 dimension cube to be negative?
Edit: I just want to clarify, I've got no problem with the math being used for negative dimensions and half dimensions, I'm just saying that these things do not exist as such to my knowledge , rather they are only mathematical ideas with no physical counterpart. I think this was the original question, or at least my understanding of it. Originally posted by: Pudgygiant If it was a negative dimension, wouldn't you expect the volume of a -3 dimension cube to be negative?
They aren't quite the same thing as we are discussing. Originally posted by: Mingon The point is that the formula is the same whether the numbers are negative or positive, by substituting the - for something else e. I know it sounds strange but I am pretty sure it works. Again try it, see what you get and then comment. Mar 5, 49, www. Originally posted by: ZeroNine8 isn't this j or i you're using the sqrt -1?
But since you can't exactly move with the same freedom you can in the space with an integral number of dimensions more, you can't claim that the space has that many dimensions. Edit: so there would be some range of coordinates that are forbidden, right? You'd define some axes and then place some limits of their extent It would still have to be an infinite subspace RossGr Diamond Member.
Jan 11, 3, 1 0. Originally posted by: Mingon You would iirc have to use J numbers for negative numbers you wish to square.
Yeah the memories going in my old age, i or j we used cant remember which, but it was 10years ago at least, come to think of it I cant remeber the context very well. But it is certainly a misuse of the word "dimension". There are algebraic stacks, which generalize algebraic varieties, and differentiable stacks, which generalize smooth manifolds. One way to look at it is that in any space, the magnitude of any volume element changes in proportion to the magnitude of a length inside that volume element, raised to the power of the dimension of the space containing the volume element.
Given that kind of definition of dimension it is possible to contemplate fractional dimension spaces, but I don't know what to make of the idea of a negative dimensional space. The infinite lattice is a fractal of negative dimension: if you scale the infinite lattice on a line 2x, it becomes 2x less dense, thus 2 scaled lattices compose one non-scaled. If you take a lattice or on a plane, scaling 2x makes it 4x less dense so that 4 scaled lattices compose one non-scaled, etc.
Using modules e. Take a "mixed complex" of both traditional forward and reverse sequences of chain maps. If the homology groups have a concept of dimension, we define the strict reverse homology groups to have negative dimension.
You can have complexes with mixed forward and reverse homology. Any sequence of surjections and any sequence of injections, while they may not have interesting or even defined forward homologies, they will always have reverse homology. So there is an application.
Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Could negative dimension ever make sense? Ask Question. Asked 8 years, 9 months ago. Active 4 months ago. Viewed 15k times. Update I understand there're also dimensions that are not integers e.
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