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In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its properties.This is often written as = or =, where = = is the Laplace operator, [note 1] is the divergence operator (also symbolized "div"), is the gradient operator (also symbolized "grad"), and (,,) is a twice-differentiable real-valued function.
In mathematics education, calculus is an abbreviation of both infinitesimal calculus and integral calculus, which denotes courses of elementary mathematical analysis. In Latin, the word calculus means “small pebble”, (the diminutive of calx, meaning "stone"), a meaning which still persists in medicine. Because such pebbles were used for ...
e. Advanced Placement (AP) Calculus (also known as AP Calc, Calc AB / BC, AB / BC Calc or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and exams offered by the American nonprofit organization College Board. AP Calculus AB covers basic introductions to limits, derivatives, and integrals.
Three-body problem. Approximate trajectories of three identical bodies located at the vertices of a scalene triangle and having zero initial velocities. The center of mass, in accordance with the law of conservation of momentum, remains in place. In physics, specifically classical mechanics, the three-body problem is to take the initial ...
The second derivative of a quadratic function is constant. In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be phrased as "the rate of change of the rate of change"; for example, the second derivative of the position of an object ...
In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. [ 1 ] Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept ...
Bernoulli's equation. pconstant is the total pressure at a point on a streamline. p ρ u 2 2 ρ g y p c o n s t a n t. Euler equations. ρ = fluid mass density. u is the flow velocity vector. E = total volume energy density. U = internal energy per unit mass of fluid. p = pressure.
Symbolab. Symbolab is an answer engine [ 1 ] that provides step-by-step solutions to mathematical problems in a range of subjects. [ 2 ] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course ...
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