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  2. Hooke's law - Wikipedia

    en.wikipedia.org/wiki/Hooke's_law

    In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring.

  3. Harmonic oscillator - Wikipedia

    en.wikipedia.org/wiki/Harmonic_oscillator

    In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x: =, where k is a positive constant. If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic ...

  4. Filon quadrature - Wikipedia

    en.wikipedia.org/wiki/Filon_quadrature

    Filon quadrature is widely used in physics and engineering for robust computation of Fourier-type integrals. Applications include evaluation of oscillatory Sommerfeld integrals for electromagnetic and seismic problems in layered media [7] [8] [9] and numerical solution to steady incompressible flow problems in fluid mechanics, [10] as well as various different problems in neutron scattering ...

  5. Runge–Kutta–Fehlberg method - Wikipedia

    en.wikipedia.org/wiki/Runge–Kutta–Fehlberg...

    The coefficients found by Fehlberg for Formula 1 (derivation with his parameter α 2 =1/3) are given in the table below, using array indexing of base 1 instead of base 0 to be compatible with most computer languages:

  6. Constitutive equation - Wikipedia

    en.wikipedia.org/wiki/Constitutive_equation

    The first constitutive equation (constitutive law) was developed by Robert Hooke and is known as Hooke's law.It deals with the case of linear elastic materials.Following this discovery, this type of equation, often called a "stress-strain relation" in this example, but also called a "constitutive assumption" or an "equation of state" was commonly used.

  7. What is HMPV? Here's what you need to know as virus cases ...

    www.aol.com/news/hmpv-know-virus-cases-tick...

    As cases of the HMPV virus continue to increase in the U.S. and in China, here's what you need to know about the virus.

  8. Star real estate agents Alexander brothers arrested in Miami ...

    www.aol.com/news/real-estate-stars-oren-tal...

    Federal prosecutors accused top real estate agents Tal and Oren Alexander and their brother, Alon, of drugging and raping “dozens of victims” over more than a decade.

  9. List of Runge–Kutta methods - Wikipedia

    en.wikipedia.org/wiki/List_of_Runge–Kutta_methods

    These are named after Rehuel Lobatto [6] as a reference to the Lobatto quadrature rule, but were introduced by Byron L. Ehle in his thesis. [7] All are implicit methods, have order 2s − 2 and they all have c 1 = 0 and c s = 1. Unlike any explicit method, it's possible for these methods to have the order greater than the number of stages.