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  2. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    This free software had an earlier incarnation, Macsyma. Developed by Massachusetts Institute of Technology in the 1960s, it was maintained by William Schelter from 1982 to 2001. In 1998, Schelter obtained permission to release Maxima as open-source software under the GNU General Public license and the source code was released later that year ...

  3. Xcas - Wikipedia

    en.wikipedia.org/wiki/Xcas

    Among other things, Xcas can solve differential equations (Figure 3) and draw graphs. There is a forum for questions about Xcas. There is a forum for questions about Xcas. [ 7 ]

  4. Slope field - Wikipedia

    en.wikipedia.org/wiki/Slope_field

    A set of pairs , making a rectangular grid is typically used for the drawing. An isocline (a series of lines with the same slope) is often used to supplement the slope field. In an equation of the form y ′ = f ( x , y ) {\displaystyle y'=f(x,y)} , the isocline is a line in the x , y {\displaystyle x,y} -plane obtained by setting f ( x , y ...

  5. Integral curve - Wikipedia

    en.wikipedia.org/wiki/Integral_curve

    An integral curve for X passing through p at time t 0 is a curve α : J → M of class C r−1, defined on an open interval J of the real line R containing t 0, such that α ( t 0 ) = p ; {\displaystyle \alpha (t_{0})=p;\,}

  6. Integral graph - Wikipedia

    en.wikipedia.org/wiki/Integral_graph

    In the mathematical field of graph theory, an integral graph is a graph whose adjacency matrix's spectrum consists entirely of integers. In other words, a graph is an integral graph if all of the roots of the characteristic polynomial of its adjacency matrix are integers. [1] The notion was introduced in 1974 by Frank Harary and Allen Schwenk. [2]

  7. Cayley graph - Wikipedia

    en.wikipedia.org/wiki/Cayley_graph

    In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, [1] is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayley ), and uses a specified set of generators for the group.

  8. Numerical integration - Wikipedia

    en.wikipedia.org/wiki/Numerical_integration

    For this purpose it is possible to use the following fact: if we draw the circle with the sum of a and b as the diameter, then the height BH (from a point of their connection to crossing with a circle) equals their geometric mean. The similar geometrical construction solves a problem of a quadrature for a parallelogram and a triangle.

  9. Triangular function - Wikipedia

    en.wikipedia.org/wiki/Triangular_function

    Triangular functions are useful in signal processing and communication systems engineering as representations of idealized signals, and the triangular function specifically as an integral transform kernel function from which more realistic signals can be derived, for example in kernel density estimation.

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