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  2. Google LLC v. Oracle America, Inc. - Wikipedia

    en.wikipedia.org/wiki/Google_LLC_v._Oracle...

    Google LLC v. Oracle America, Inc., 593 U.S. ___ (2021), [ 1] was a U.S. Supreme Court decision related to the nature of computer code and copyright law. The dispute centered on the use of parts of the Java programming language 's application programming interfaces (APIs) and about 11,000 lines of source code, which are owned by Oracle (through ...

  3. One-way wave equation - Wikipedia

    en.wikipedia.org/wiki/One-way_wave_equation

    A one-way wave equation is a first-order partial differential equation describing one wave traveling in a direction defined by the vector wave velocity. It contrasts with the second-order two-way wave equation describing a standing wavefield resulting from superposition of two waves in opposite directions (using the squared scalar wave velocity ...

  4. List of Java bytecode instructions - Wikipedia

    en.wikipedia.org/wiki/List_of_Java_bytecode...

    This is a list of the instructions that make up the Java bytecode, an abstract machine language that is ultimately executed by the Java virtual machine. [ 1] The Java bytecode is generated from languages running on the Java Platform, most notably the Java programming language . Note that any referenced "value" refers to a 32-bit int as per the ...

  5. Hamilton–Jacobi equation - Wikipedia

    en.wikipedia.org/wiki/Hamilton–Jacobi_equation

    Overview. The Hamilton–Jacobi equation is a first-order, non-linear partial differential equation. for a system of particles at coordinates ⁠ ⁠. The function is the system's Hamiltonian giving the system's energy. The solution of the equation is the action functional, ⁠ ⁠, [ 4] called Hamilton's principal function in older textbooks.

  6. Variation of parameters - Wikipedia

    en.wikipedia.org/wiki/Variation_of_parameters

    e. In mathematics, variation of parameters, also known as variation of constants, is a general method to solve inhomogeneous linear ordinary differential equations . For first-order inhomogeneous linear differential equations it is usually possible to find solutions via integrating factors or undetermined coefficients with considerably less ...

  7. Rate equation - Wikipedia

    en.wikipedia.org/wiki/Rate_equation

    Rate equation. In chemistry, the rate equation (also known as the rate law or empirical differential rate equation) is an empirical differential mathematical expression for the reaction rate of a given reaction in terms of concentrations of chemical species and constant parameters (normally rate coefficients and partial orders of reaction) only ...

  8. Upwind scheme - Wikipedia

    en.wikipedia.org/wiki/Upwind_scheme

    In computational physics, the term advection scheme refers to a class of numerical discretization methods for solving hyperbolic partial differential equations. In the so-called upwind schemes typically, the so-called upstream variables are used to calculate the derivatives in a flow field. That is, derivatives are estimated using a set of data ...

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