concave down

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• Concave function — In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap or upper convex. Contents 1 Definition 2 Properties 3 Examples …   Wikipedia

• Convex and Concave — Artist M. C. Escher Year 1955 Type lithograph Dimensions 27.5 cm × 33.5 cm (10.8 in × 13.2 in) Convex an …   Wikipedia

• Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… …   Wikipedia

• analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

• Stationary point — Not to be confused with a fixed point where x = f(x). Stationary points (red pluses) and inflection points (green circles). The stationary points in this graph are all relative maxima or relative minima. In mathematics, particularly in calculus,… …   Wikipedia

• Neckline — The neckline is the top edge of a garment that surrounds the neck, especially from the front view. Neckline also refers to the overall line between all the layers of clothing and the neck and shoulders of a person, ignoring the unseen… …   Wikipedia

• Second derivative test — In calculus, a branch of mathematics, the second derivative test is a criterion often useful for determining whether a given stationary point of a function is a local maximum or a local minimum.The test states: If the function f is twice… …   Wikipedia

• Trapezium rule — In mathematics, the trapezium rule (the British term) or trapezoidal rule (the American term) is a way to approximately calculate the definite integral: int {a}^{b} f(x),dx. The trapezium rule works by approximating the region under the graph of… …   Wikipedia

• Monochromatic electromagnetic plane wave — In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell s theory. The precise definition of the solution is a bit complicated, but very instructive. Any exact …   Wikipedia

• Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… …   Wikipedia

• lopolith — noun a) a mass of volcanic or igneous rock found within strata which has spilled downward into underlaying strata and forms depressed regions. b) mass similar to laccolith but concave down …   Wiktionary