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A saddle joint (sellar joint, [1] [2] articulation by reciprocal reception [citation needed]) is a type of synovial joint in which the opposing surfaces are reciprocally concave and convex. It is found in the thumb , the thorax , the middle ear , and the heel .
A function f is concave over a convex set if and only if the function −f is a convex function over the set. The sum of two concave functions is itself concave and so is the pointwise minimum of two concave functions, i.e. the set of concave functions on a given domain form a semifield.
Saddle joints, where the two surfaces are reciprocally concave/convex in shape, which resemble a saddle, permit the same movements as the condyloid joints but allows greater movement. Ball and socket joints "universal Joint" shoulder (glenohumeral) and hip joints These allow for all movements except gliding Compound joints [7] [8] / bicondyloid ...
In simple terms, a convex function graph is shaped like a cup (or a straight line like a linear function), while a concave function's graph is shaped like a cap . A twice- differentiable function of a single variable is convex if and only if its second derivative is nonnegative on its entire domain . [ 1 ]
In humans and other apes, it is trochleariform (or trochleiform), as opposed to cylindrical in most monkeys and conical in some prosimians. [1] It presents a deep depression between two well-marked borders; it is convex from before backward, concave from side to side, and occupies the anterior, lower, and posterior parts of the extremity.
The anterior arch forms about one-fifth of the ring: its anterior surface is convex, and presents at its center the anterior tubercle for the attachment of the longus colli muscles and the anterior longitudinal ligament; posteriorly it is concave, and marked by a smooth, oval or circular facet (fovea dentis), for articulation with the odontoid process (dens) of the axis.
Convex function - a function in which the line segment between any two points on the graph of the function lies above the graph. Closed convex function - a convex function all of whose sublevel sets are closed sets. Proper convex function - a convex function whose effective domain is nonempty and it never attains minus infinity. Concave ...
The shape of wings exhibits great variety in Lepidoptera. In the case of the Papilionoidea, the costa may be straight or highly arched. It is sometimes concave on the hindwing. It is occasionally serrate or minutely saw toothed on the forewing. The apex may be rounded, pointed, or falcate (produced and concave below).