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  2. Cost curve - Wikipedia

    en.wikipedia.org/wiki/Cost_curve

    The total cost curve, if non-linear, can represent increasing and diminishing marginal returns.. The short-run total cost (SRTC) and long-run total cost (LRTC) curves are increasing in the quantity of output produced because producing more output requires more labor usage in both the short and long runs, and because in the long run producing more output involves using more of the physical ...

  3. Contact (mathematics) - Wikipedia

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

    The evolute will have a cusp at the center of the circle. The sign of the second derivative of curvature determines whether the curve has a local minimum or maximum of curvature. All closed curves will have at least four vertices, two minima and two maxima (the four-vertex theorem). In general a curve will not have 4th-order contact with any ...

  4. Long-run cost curve - Wikipedia

    en.wikipedia.org/wiki/Long-run_cost_curve

    The increase in choices about how to produce in the long run means that long-run costs are equal to or less than short run costs, ceteris paribus. The term curves does not necessarily mean the cost function has any curvature. However, many economic models assume that cost curves are differentiable so that the LRMC is well-defined. Traditionally ...

  5. Average cost - Wikipedia

    en.wikipedia.org/wiki/Average_cost

    If the firm is a perfect competitor in all input markets, and thus the per-unit prices of all its inputs are unaffected by how much of the inputs the firm purchases, then it can be shown [1] [2] [3] that at a particular level of output, the firm has economies of scale (i.e., is operating in a downward sloping region of the long-run average cost ...

  6. Washington DC reporter Derrick Ward dies at 62: An ... - AOL

    www.aol.com/washington-dc-reporter-derrick-ward...

    Derrick Ward Sr., a reporter at NBC4 Washington, died Tuesday from complications after a recent cardiac arrest, his family confirmed.

  7. Video shows the jaw-dropping rescue of tourists who fell in ...

    www.aol.com/video-shows-jaw-dropping-rescue...

    A shocking video shows the jaw-dropping rescue of tourists trapped in a frozen lake in India. According to Reuters, the four individuals fell through frigid water at Sela Lake on Sunday.

  8. More than 46,000 people have been killed in the Gaza war, according to Palestinian health officials. The war began on Oct. 7, after Hamas gunmen stormed across the border with Israel, killing ...

  9. Linking number - Wikipedia

    en.wikipedia.org/wiki/Linking_number

    The two curves of this (2, 8)-torus link have linking number four. In mathematics, the linking number is a numerical invariant that describes the linking of two closed curves in three-dimensional space. Intuitively, the linking number represents the number of times that each curve winds around the other.