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  2. Chemical equation - Wikipedia

    en.wikipedia.org/wiki/Chemical_equation

    A chemical equation is the symbolic representation of a chemical reaction in the form of symbols and chemical formulas.The reactant entities are given on the left-hand side and the product entities are on the right-hand side with a plus sign between the entities in both the reactants and the products, and an arrow that points towards the products to show the direction of the reaction. [1]

  3. Master equation - Wikipedia

    en.wikipedia.org/wiki/Master_equation

    A master equation is a phenomenological set of first-order differential equations describing the time evolution of (usually) the probability of a system to occupy each one of a discrete set of states with regard to a continuous time variable t. The most familiar form of a master equation is a matrix form: where is a column vector, and is the ...

  4. Computational chemistry - Wikipedia

    en.wikipedia.org/wiki/Computational_chemistry

    Computational chemistry is a branch of chemistry that uses computer simulations to assist in solving chemical problems. [ 2 ] It uses methods of theoretical chemistry incorporated into computer programs to calculate the structures and properties of molecules, groups of molecules, and solids. [ 3 ]

  5. Euler method - Wikipedia

    en.wikipedia.org/wiki/Euler_method

    It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is named after Leonhard Euler, who first proposed it in his book Institutionum calculi integralis (published 1768–1770). [1]

  6. 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 ...

  7. Stiff equation - Wikipedia

    en.wikipedia.org/wiki/Stiff_equation

    Stiff equation. In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise definition of stiffness, but the main idea is that the equation includes some terms ...

  8. Exponential decay - Wikipedia

    en.wikipedia.org/wiki/Exponential_decay

    where the final substitution, N 0 = e C, is obtained by evaluating the equation at t = 0, as N 0 is defined as being the quantity at t = 0. This is the form of the equation that is most commonly used to describe exponential decay. Any one of decay constant, mean lifetime, or half-life is sufficient to characterise the decay.

  9. Gillespie algorithm - Wikipedia

    en.wikipedia.org/wiki/Gillespie_algorithm

    It was created by Joseph L. Doob and others (circa 1945), presented by Dan Gillespie in 1976, and popularized in 1977 in a paper where he uses it to simulate chemical or biochemical systems of reactions efficiently and accurately using limited computational power (see stochastic simulation). [1] As computers have become faster, the algorithm ...

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