Strip Algebra is a set of elements and operators for the description of carbon nanotube structures, considered as a subgroup of polyhedra, and more precisely, of polyhedra with vertices formed by three edges. This restriction is imposed on the polyhedra because carbon nanotubes are formed of sp2 carbon atoms. Strip Algebra was developed initially
[1]
for the determination of the structure connecting two arbitrary nanotubes, but has also been extended to the connection of three identical nanotubes
[2]
^Melchor, S.; Khokhriakov, N.V.; Savinskii, S.S. (1999). "Geometry of Multi-Tube Carbon Clusters and Electronic Transmission in Nanotube Contacts". Molecular Engineering. 8 (4): 315–344. doi:10.1023/A:1008342925348.
^Melchor, S.; Martin-Martinez, F.J.; Dobado, J.A. (2011). "CoNTub v2.0 - Algorithms for Constructing C3-Symmetric Models of Three-Nanotube Junctions". J. Chem. Inf. Model. 51: 1492–1505. doi:10.1021/ci200056p.
StripAlgebra is a set of elements and operators for the description of carbon nanotube structures, considered as a subgroup of polyhedra, and more precisely...
Euclidean space, an algebraic variety is glued together from affine algebraic varieties, which are zero sets of polynomials over algebraically closed fields...
also a direction. The concept of vector spaces is fundamental for linear algebra, together with the concept of matrices, which allows computing in vector...
and research about new nanotube-based devices. CoNTub is based on the stripalgebra, and is able to find the unique structure for connecting two specific...
trivial bundle. Examples of non-trivial fiber bundles include the Möbius strip and Klein bottle, as well as nontrivial covering spaces. Fiber bundles,...
This is a list of algebraic topology topics. Simplex Simplicial complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem...
modular arithmetic, algebraic inequalities, bases other than 10, matrices, symbolic logic, Boolean algebra, and abstract algebra. All of the New Math...
proofs. Algebraic topology is a branch of mathematics that uses tools from algebra to study topological spaces. The basic goal is to find algebraic invariants...
related non-orientable surfaces include the Möbius strip and the real projective plane. While a Möbius strip is a surface with a boundary, a Klein bottle has...
expression is known, although these values are thought to be related to the algebraic K-theory of the integers; see Special values of L-functions. For nonpositive...
application of algebra to geometry, and wrote a treatise on cubic equations which "represents an essential contribution to another algebra which aimed to...
solutions in real numbers. More precisely, the fundamental theorem of algebra asserts that every non-constant polynomial equation with real or complex...
Ordinary Partial Differential-algebraic Integro-differential Fractional Linear Non-linear By variable type Dependent and independent variables Autonomous...
abstract feel of math and Nancy was, in fact, a mini-algebra equation masquerading as a comic strip for close to 50 years. Comics theorist Scott McCloud...
In mathematics, and especially in algebraic geometry, the intersection number generalizes the intuitive notion of counting the number of times two curves...
In numerical linear algebra, the Jacobi method (a.k.a. the Jacobi iteration method) is an iterative algorithm for determining the solutions of a strictly...
root for every nonconstant polynomial exists (see Algebraic closure and Fundamental theorem of algebra). Here, the term "imaginary" is used because there...
= Ca, the concentration of the acid, so [A] = [H]. After some further algebraic manipulation an equation in the hydrogen ion concentration may be obtained...
as a stripping functor) 'forgets' or drops some or all of the input's structure or properties 'before' mapping to the output. For an algebraic structure...
Categories of abstract algebraic structures including representation theory and universal algebra; Homological algebra; Homotopical algebra; Topology using categories...
projective maps, and therefore are concepts of projective geometry. In algebraic geometry, ruled surfaces are sometimes considered to be surfaces in affine...
manner more closely resembling Hegel's philosophy. Lacan often used an algebraic symbology for his concepts: the big other (l'Autre) is designated A, and...