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  2. Linear interpolation - Wikipedia

    en.wikipedia.org/wiki/Linear_interpolation

    Given the two red points, the blue line is the linear interpolant between the points, and the value y at x may be found by linear interpolation. In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.

  3. Desmos - Wikipedia

    en.wikipedia.org/wiki/Desmos

    Some 50 employees joined Amplify. Desmos Studio was spun off as a separate public benefit corporation focused on building calculator products and other math tools. [7] In May 2023, Desmos released a beta for a remade Geometry Tool. In it, geometrical shapes can be made, as well as expressions from the normal graphing calculator, with extra ...

  4. Linear function (calculus) - Wikipedia

    en.wikipedia.org/wiki/Linear_function_(calculus)

    The graph of the linear approximation is the tangent line of the graph = at the point (, ()). The derivative slope f ′ ( c ) {\displaystyle f\,'(c)} generally varies with the point c . Linear functions can be characterized as the only real functions whose derivative is constant: if f ′ ( x ) = a {\displaystyle f\,'(x)=a} for all x , then f ...

  5. Knee of a curve - Wikipedia

    en.wikipedia.org/wiki/Knee_of_a_curve

    The knee of a curve can be defined as a vertex of the graph. This corresponds with the graphical intuition (it is where the curvature has a maximum), but depends on the choice of scale. The term "knee" as applied to curves dates at least to the 1910s, [1] and is found more commonly by the 1940s, [2] being common enough to draw criticism.

  6. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by equations involving the coordinates of points of the shape. For example, a circle of radius 2, centered at the origin of the plane, may be described as the set of all points whose coordinates x and y satisfy the equation x 2 + y 2 = 4; the area, the ...

  7. Radius of curvature - Wikipedia

    en.wikipedia.org/wiki/Radius_of_curvature

    where c ∈ ℝ n is the center of the circle (irrelevant since it disappears in the derivatives), a,b ∈ ℝ n are perpendicular vectors of length ρ (that is, a · a = b · b = ρ 2 and a · b = 0), and h : ℝ → ℝ is an arbitrary function which is twice differentiable at t.

  8. Trump says RFK Jr. will investigate the discredited link ...

    www.aol.com/trump-says-rfk-jr-investigate...

    Researchers attribute a rise in autism diagnoses to increased screening and changing definitions of the condition. Hundreds of studies have found childhood vaccines to be safe.

  9. Curvature - Wikipedia

    en.wikipedia.org/wiki/Curvature

    There exists a circle in the osculating plane tangent to γ(s) whose Taylor series to second order at the point of contact agrees with that of γ(s). This is the osculating circle to the curve. The radius of the circle R(s) is called the radius of curvature, and the curvature is the reciprocal of the radius of curvature: