scalar function
81Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
82Divergence theorem — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
83Vector potential — In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential , which is a scalar field whose negative gradient is a given vector field.Formally, given a vector field v, a… …
84Mpemba effect — The Mpemba effect is the observation that warmer water sometimes freezes faster than colder water. Although the observation has been verified, there is no single scientific explanation for the effect. Contents 1 Historical observations 2 Origin 3 …
85Potential flow — streamlines around a NACA 0012 airfoil at 11° angle of attack, with upper and lower streamtubes identified. In fluid dynamics, potential flow describes the velocity field as the gradient of a scalar function: the velocity potential. As a result,… …
86Surface of revolution — A surface of revolution is a surface created by rotating a curve lying on some plane (the generatrix) around a straight line (the axis of rotation) that lies on the same plane. Examples of surfaces generated by a straight line are the cylindrical …
87Volume of fluid method — In Computational fluid dynamics, Volume of fluid (VOF) method is a numerical technique for tracking and locating the free surface (or fluid fluid interface).Method is known for its ability to conserve the mass of the traced fluid, also, when… …
88Thermodynamics — Annotated color version of the original 1824 Carnot heat engine showing the hot body (boiler), working body (system, steam), and cold body (water), the letters labeled according to the stopping points in Carnot cycle …
89Volume integral — In mathematics mdash; in particular, in multivariable calculus mdash; a volume integral refers to an integral over a 3 dimensional domain. Volume integral is a triple integral of the constant function 1, which gives the volume of the region D ,… …
90Cotton tensor — In differential geometry, the Cotton tensor on a (pseudo) Riemannian manifold of dimension n is a third order tensor concomitant of the metric, like the Weyl tensor. The concept is named after Émile Cotton. Just as the vanishing of the Weyl… …
