enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Generating set of a group - Wikipedia

    en.wikipedia.org/wiki/Generating_set_of_a_group

    The two-element subset {3, 5} is a generating set, since (−5) + 3 + 3 = 1 (in fact, any pair of coprime numbers is, as a consequence of Bézout's identity). The dihedral group of an n-gon (which has order 2n ) is generated by the set { r , s } , where r represents rotation by 2 π / n and s is any reflection across a line of symmetry.

  3. 3D rotation group - Wikipedia

    en.wikipedia.org/wiki/3D_rotation_group

    Suppose X and Y in the Lie algebra are given. Their exponentials, exp(X) and exp(Y), are rotation matrices, which can be multiplied. Since the exponential map is a surjection, for some Z in the Lie algebra, exp(Z) = exp(X) exp(Y), and one may tentatively write = (,), for C some expression in X and Y.

  4. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  5. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    The sum of the entries along the main diagonal (the trace), plus one, equals 4 − 4(x 2 + y 2 + z 2), which is 4w 2. Thus we can write the trace itself as 2w 2 + 2w 2 − 1; and from the previous version of the matrix we see that the diagonal entries themselves have the same form: 2x 2 + 2w 2 − 1, 2y 2 + 2w 2 − 1, and 2z 2 + 2w 2 − 1. So ...

  6. Multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_inverse

    The reciprocal function: y = 1/x.For every x except 0, y represents its multiplicative inverse. The graph forms a rectangular hyperbola.. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x1, is a number which when multiplied by x yields the multiplicative identity, 1.

  7. Adjacency matrix - Wikipedia

    en.wikipedia.org/wiki/Adjacency_matrix

    For d-regular graphs, d is the first eigenvalue of A for the vector v = (1, …, 1) (it is easy to check that it is an eigenvalue and it is the maximum because of the above bound). The multiplicity of this eigenvalue is the number of connected components of G , in particular λ 1 > λ 2 {\displaystyle \lambda _{1}>\lambda _{2}} for connected ...

  8. Graph homology - Wikipedia

    en.wikipedia.org/wiki/Graph_homology

    We return to the graph with 3 vertices {x,y,z} and 4 edges {a: xy, b: y→z, c: z→x, d: z→x}. Recall that the group C 0 is generated by the set of vertices. Since there are no (−1)-dimensional elements, the group C −1 is trivial, and so the entire group C 0 is a kernel of the corresponding boundary operator: ker ⁡ ∂ 0 = C 0 ...

  9. AOL Mail

    mail.aol.com

    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!