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Here am I marching up and down this terrace alone, unoriented.
By contrast, an unoriented string is one with no such arrow on it.
It is possible to associate unoriented (and not necessarily orientable) surfaces to knots as well.
The arguments we are using above apply to amorphous unoriented polymers.)
The resulting cobordism groups are then defined analogously to the unoriented case.
When he did, he was completely unoriented.
It is also referred to as unoriented bordism.
For example, in the glassy state all unoriented polymers have similar bulk and shear moduli.
Finally, some authors may take cyclic order to mean an unoriented quaternary separation relation .
In mathematics, a separation relation is a formal way to arrange a set of objects in an unoriented circle.
The most investigated example is represented by thin multicrystalline silicon films, where such as the unoriented molecule.
This is true for unoriented cobordism.
The space of oriented lines is a double cover of the space of unoriented lines.
In random orthogonal cracks, the cracks are incomplete and unoriented therefore they do not connect or make any general shapes.
(The unoriented incidence matrix of a non-bipartite graph is not TU.)
In graph theory an undirected graph G has two kinds of incidence matrices: unoriented and oriented.
Orientifolding therefore produces unoriented strings-strings that carry no "arrow" and whose two opposite orientations are equivalent.
Kauffman showed that L exists and is a regular isotopy invariant of unoriented links.
The group SL(2,R) preserves unoriented area: it may reverse orientation.
The converse is valid for signed graphs without half edges (this generalizes the property of the unoriented incidence matrix of a graph).
For a knot diagram, using the right-hand rule with either orientation gives the same result, so the writhe is well-defined on unoriented knot diagrams.
The binary cycle space is the null space of its oriented or unoriented incidence matrix, viewed as a matrix over the two-element field.
D. Quillen, On the formal group laws of unoriented and complex cobordism theory Bull.
Depending on the knot polynomial in question, the links (or tangles) appearing in a skein relation may be oriented or unoriented.
This theory is special in the sense that it is based on unoriented open and closed strings, while the rest are based on oriented closed strings.