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  2. Slope field - Wikipedia

    en.wikipedia.org/wiki/Slope_field

    the slope field is an array of slope marks in the phase space (in any number of dimensions depending on the number of relevant variables; for example, two in the case of a first-order linear ODE, as seen to the right). Each slope mark is centered at a point (,,, …,) and is parallel to the vector

  3. Slope - Wikipedia

    en.wikipedia.org/wiki/Slope

    Slope illustrated for y = (3/2)x1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

  4. Dilogarithm - Wikipedia

    en.wikipedia.org/wiki/Dilogarithm

    The dilogarithm along the real axis. In mathematics, the dilogarithm (or Spence's function), denoted as Li 2 (z), is a particular case of the polylogarithm.Two related special functions are referred to as Spence's function, the dilogarithm itself:

  5. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    Toggle Polynomials and functions of the form x a subsection. 2.1 Polynomials in x. 2.2 Functions of the form x a. ... For example, if g(x) is differentiable at x,

  6. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    Given two different points (x 1, y 1) and (x 2, y 2), there is exactly one line that passes through them. There are several ways to write a linear equation of this line. If x 1x 2, the slope of the line is . Thus, a point-slope form is [3]

  7. Cusp (singularity) - Wikipedia

    en.wikipedia.org/wiki/Cusp_(singularity)

    Let f (x, y) be a smooth function of x and y and assume, for simplicity, that f (0, 0) = 0. Then a type A 2-singularity of f at (0, 0) can be characterised by: Having a degenerate quadratic part, i.e. the quadratic terms in the Taylor series of f form a perfect square, say L(x, y) 2, where L(x, y) is linear in x and y, and

  8. 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).

  9. Scatter plot - Wikipedia

    en.wikipedia.org/wiki/Scatter_plot

    The different variables are combined to form coordinates in the phase space and they are displayed using glyphs and coloured using another scalar variable. [ 1 ] A scatter plot , also called a scatterplot , scatter graph , scatter chart , scattergram , or scatter diagram , [ 2 ] is a type of plot or mathematical diagram using Cartesian ...

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