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  2. Conic section - Wikipedia

    en.wikipedia.org/wiki/Conic_section

    The discriminant B 2 – 4AC of the conic section's quadratic equation (or equivalently the determinant AC – B 2 /4 of the 2 × 2 matrix) and the quantity A + C (the trace of the 2 × 2 matrix) are invariant under arbitrary rotations and translations of the coordinate axes, [14] [15] [16] as is the determinant of the 3 × 3 matrix above.

  3. Infinitesimal generator (stochastic processes) - Wikipedia

    en.wikipedia.org/wiki/Infinitesimal_generator...

    In mathematics — specifically, in stochastic analysis — the infinitesimal generator of a Feller process (i.e. a continuous-time Markov process satisfying certain regularity conditions) is a Fourier multiplier operator [1] that encodes a great deal of information about the process.

  4. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    The tool comes pre-programmed with 36 different example graphs for the purpose of teaching new users about the tool and the mathematics involved. [ 15 ] As of April 2017, Desmos also released a browser-based 2D interactive geometry tool, with supporting features including the plotting of points, lines, circles, and polygons.

  5. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Log–log_plot

    A log–log plot of y = x (blue), y = x 2 (green), and y = x 3 (red). Note the logarithmic scale markings on each of the axes, and that the log x and log y axes (where the logarithms are 0) are where x and y themselves are 1. Comparison of linear, concave, and convex functions when plotted using a linear scale (left) or a log scale (right).

  6. Chemical graph generator - Wikipedia

    en.wikipedia.org/wiki/Chemical_graph_generator

    In graph theory, the degree of a vertex is its number of connections. In a chemical graph, the maximum degree of an atom is its valence, and the maximum number of bonds a chemical element can make. For example, carbon's valence is 4. In a chemical graph, an atom is saturated if it reaches its valence.

  7. Graph dynamical system - Wikipedia

    en.wikipedia.org/wiki/Graph_dynamical_system

    This class is referred to as generalized cellular automata since the classical or standard cellular automata are typically defined and studied over regular graphs or grids, and the vertex functions are typically assumed to be identical. Example: Let Y be the circle graph on vertices {1,2,3,4} with edges {1,2}, {2,3}, {3,4} and {1,4}, denoted ...

  8. Envelope (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Envelope_(mathematics)

    These are given by the generating family F(t,(x,y)) = t 2 – 2tx + y. The zero level set F(t 0,(x,y)) = 0 gives the equation of the tangent line to the parabola at the point (t 0,t 0 2). The equation t 2 – 2tx + y = 0 can always be solved for y as a function of x and so, consider + = Substituting

  9. Circulant graph - Wikipedia

    en.wikipedia.org/wiki/Circulant_graph

    Every cycle graph is a circulant graph, as is every crown graph with number of vertices congruent to 2 modulo 4. The Paley graphs of order n (where n is a prime number congruent to 1 modulo 4) is a graph in which the vertices are the numbers from 0 to n − 1 and two vertices are adjacent if their difference is a quadratic residue modulo n.

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