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Optimistic concurrency control ( OCC ), also known as optimistic locking, is a non-locking concurrency control method applied to transactional systems such as relational database management systems and software transactional memory. OCC assumes that multiple transactions can frequently complete without interfering with each other.
Euler–Maruyama method. In Itô calculus, the Euler–Maruyama method (also called the Euler method) is a method for the approximate numerical solution of a stochastic differential equation (SDE). It is an extension of the Euler method for ordinary differential equations to stochastic differential equations. It is named after Leonhard Euler ...
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, one has. where e is the base of the natural logarithm, i is the imaginary unit, and ...
Proper morphism. In algebraic geometry, a proper morphism between schemes is an analog of a proper map between complex analytic spaces . Some authors call a proper variety over a field k a complete variety. For example, every projective variety over a field k is proper over k. A scheme X of finite type over the complex numbers (for example, a ...
For a scheme X over a field k and any field extension E of k, the base change X E means the fiber product X × Spec(k) Spec(E). Here X E is a scheme over E. For example, if X is the curve in the projective plane P 2 R over the real numbers R defined by the equation xy 2 = 7z 3, then X C is the complex curve in P 2 C defined by the same equation.
t. e. In numerical analysis, finite-difference methods ( FDM) are a class of numerical techniques for solving differential equations by approximating derivatives with finite differences. Both the spatial domain and time domain (if applicable) are discretized, or broken into a finite number of intervals, and the values of the solution at the end ...
Lax–Friedrichs method. The Lax–Friedrichs method, named after Peter Lax and Kurt O. Friedrichs, is a numerical method for the solution of hyperbolic partial differential equations based on finite differences. The method can be described as the FTCS (forward in time, centered in space) scheme with a numerical dissipation term of 1/2.
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