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  2. Symbolab - Wikipedia

    en.wikipedia.org/wiki/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.

  3. Operational calculus - Wikipedia

    en.wikipedia.org/wiki/Operational_calculus

    The operator in its use probably is more mathematical than physical, the unit function more physical than mathematical. The operator p in the Heaviside calculus initially is to represent the time differentiator ⁠ d / dt ⁠. Further, it is desired for this operator to bear the reciprocal relation such that p −1 denotes the operation of ...

  4. Hamiltonian mechanics - Wikipedia

    en.wikipedia.org/wiki/Hamiltonian_mechanics

    Hamilton's equations give the time evolution of coordinates and conjugate momenta in four first-order differential equations, ˙ = ˙ = ⁡ ˙ = ⁡ ⁡ ⁡ ˙ = Momentum ⁠ ⁠, which corresponds to the vertical component of angular momentum ⁠ = ⁡ ⁡ ˙ ⁠, is a constant of motion. That is a consequence of the rotational symmetry of the ...

  5. List of equations in classical mechanics - Wikipedia

    en.wikipedia.org/wiki/List_of_equations_in...

    Left: intrinsic "spin" angular momentum S is really orbital angular momentum of the object at every point, right: extrinsic orbital angular momentum L about an axis, top: the moment of inertia tensor I and angular velocity ω (L is not always parallel to ω) [6] bottom: momentum p and its radial position r from the axis.

  6. Newton's method in optimization - Wikipedia

    en.wikipedia.org/wiki/Newton's_method_in...

    In calculus, Newton's method (also called Newton–Raphson) is an iterative method for finding the roots of a differentiable function, which are solutions to the equation =. However, to optimize a twice-differentiable f {\displaystyle f} , our goal is to find the roots of f ′ {\displaystyle f'} .

  7. Transport phenomena - Wikipedia

    en.wikipedia.org/wiki/Transport_phenomena

    Momentum: the drag experienced by a rain drop as it falls in the atmosphere is an example of momentum diffusion (the rain drop loses momentum to the surrounding air through viscous stresses and decelerates). The molecular transfer equations of Newton's law for fluid momentum, Fourier's law for heat, and Fick's law for mass are

  8. Euler method - Wikipedia

    en.wikipedia.org/wiki/Euler_method

    Consider the problem of calculating the shape of an unknown curve which starts at a given point and satisfies a given differential equation. Here, a differential equation can be thought of as a formula by which the slope of the tangent line to the curve can be computed at any point on the curve, once the position of that point has been calculated.

  9. Momentum operator - Wikipedia

    en.wikipedia.org/wiki/Momentum_operator

    This operator occurs in relativistic quantum field theory, such as the Dirac equation and other relativistic wave equations, since energy and momentum combine into the 4-momentum vector above, momentum and energy operators correspond to space and time derivatives, and they need to be first order partial derivatives for Lorentz covariance.