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  2. Curvatures of the stomach - Wikipedia

    en.wikipedia.org/wiki/Curvatures_of_the_stomach

    The greater curvature of the stomach forms the lower left or lateral border of the stomach. [3] Starting from the cardiac orifice it begins at the cardiac notch, forming an arch backward, upward, and to the left. A horizontal plane across from the cardiac notch encloses an area called the fundus of the stomach.

  3. Mean width - Wikipedia

    en.wikipedia.org/wiki/Mean_width

    For convex bodies K in three dimensions, the mean width of K is related to the average of the mean curvature, H, over the whole surface of K.In fact, = where is the boundary of the convex body and a surface integral element, is the mean curvature at the corresponding position on .

  4. Convex function - Wikipedia

    en.wikipedia.org/wiki/Convex_function

    The term convex is often referred to as convex down or concave upward, and the term concave is often referred as concave down or convex upward. [ 3 ] [ 4 ] [ 5 ] If the term "convex" is used without an "up" or "down" keyword, then it refers strictly to a cup shaped graph ∪ {\displaystyle \cup } .

  5. Curvature - Wikipedia

    en.wikipedia.org/wiki/Curvature

    The normal curvature, k n, is the curvature of the curve projected onto the plane containing the curve's tangent T and the surface normal u; the geodesic curvature, k g, is the curvature of the curve projected onto the surface's tangent plane; and the geodesic torsion (or relative torsion), τ r, measures the rate of change of the surface ...

  6. Total absolute curvature - Wikipedia

    en.wikipedia.org/wiki/Total_absolute_curvature

    In differential geometry, the total absolute curvature of a smooth curve is a number defined by integrating the absolute value of the curvature around the curve. It is a dimensionless quantity that is invariant under similarity transformations of the curve, and that can be used to measure how far the curve is from being a convex curve.

  7. Total curvature - Wikipedia

    en.wikipedia.org/wiki/Total_curvature

    It is 2 π for convex curves in the plane, and larger for non-convex curves. [1] It can also be generalized to curves in higher dimensional spaces by flattening out the tangent developable to γ into a plane, and computing the total curvature of the resulting curve. That is, the total curvature of a curve in n-dimensional space is

  8. Principal curvature - Wikipedia

    en.wikipedia.org/wiki/Principal_curvature

    The product k 1 k 2 of the two principal curvatures is the Gaussian curvature, K, and the average (k 1 + k 2)/2 is the mean curvature, H. If at least one of the principal curvatures is zero at every point, then the Gaussian curvature will be 0 and the surface is a developable surface. For a minimal surface, the mean curvature is zero at every ...

  9. Convex cap - Wikipedia

    en.wikipedia.org/wiki/Convex_cap

    A convex cap, also known as a convex floating body [1] or just floating body, [2] is a well defined structure in mathematics commonly used in convex analysis for approximating convex shapes. In general it can be thought of as the intersection of a convex Polytope with a half-space .