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1. Stochastic differential equation: for a process $ X=( X _ {t} ) _ {t\geq } 0 $ with respect to a Wiener process $ W = ( W _ {t} ) _ {t\geq } 0 $ An equation of the form $$ \tag{1 } dX _ {t} = a( t, X) dt + b ... (Mathematics) [100%] 2023-10-12 [Stochastic analysis]
2. Stochastic differential: A random interval function $ dX $ defined by the formula $$ ( dX) I = X _ {t} - X _ {s} ,\ \ I = ( s, t], $$ for every process $ X = ( X _ {t} , {\mathcal F} _ {t} , {\mathsf P}) $ in the class of semi-martingales $ S ... (Mathematics) [86%] 2023-10-10
3. Stochastic partial differential equation: Stochastic partial differential equations (SPDEs) generalize partial differential equations via random force terms and coefficients, in the same way ordinary stochastic differential equations generalize ordinary differential equations. They have relevance to quantum field theory, statistical mechanics, and spatial modeling. [86%] 2023-12-30 [Stochastic differential equations] [Partial differential equations]...
4. Differential equations: Differential equations serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary differential equations and their solutions. [79%] 2024-01-07 [Differential equations] [Mathematics courses]...
5. Differential equations: Differential equations serve as mathematical models of physical processes. This course is intended to be an introduction to ordinary differential equations and their solutions. [79%] 2024-01-26 [Differential equations] [Mathematics courses]...
6. Differential Equations: A differential equation is an equation where a given function and an order of its derivative are in some way added or multiplied together in the same equation. The following categories should help in learning more about different types of ... [79%] 2024-01-26 [Differential equations]
7. Differential Equations: A differential equation is an equation where a given function and an order of its derivative are in some way added or multiplied together in the same equation. The following categories should help in learning more about different types of ... [79%] 2023-12-29 [Differential equations]
8. Differential equation: In mathematics, a differential equation or DE is an equation relating a function and its derivatives, the idea being that how a quantity will change is related in some way to its current value. Many of the fundamental laws of ... [74%] 2023-06-15
9. Differential Equation: Differential Equation, in mathematics, a relation between one or more functions and their differential coefficients. The subject is treated here in two parts: (1) an elementary introduction dealing with the more commonly recognized types of differential equations which can be ... [74%] 2022-09-02
10. Differential equation: In mathematics, a differential equation is an equation that relates a function to one or more of its derivatives. Differential equations are especially applicable when the tools of algebra, which are ideally suited for static systems, are not enough. [74%] 2023-02-22 [Calculus] [Differential Equations]...
11. Differential equation: In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship ... (Type of functional equation (mathematics)) [74%] 2023-11-06 [Differential equations]
12. Differential equation: In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship ... (Type of functional equation (mathematics)) [74%] 2024-01-12 [Differential equations]
13. Stochastic process, differentiable: A stochastic process $ X ( t) $ such that the limit $$ \lim\limits _ {\Delta t \rightarrow 0 } \ \frac{X ( t + \Delta t ) - X ( t) }{\Delta t } = \ X ^ \prime ( t) $$ exists; it is called the derivative of the stochastic process $ X ( t ... (Mathematics) [65%] 2023-10-02
14. Quaternionic Differential Equations: Generalized field equations hold for all basic fields. Generalized field equations fit best in a quaternionic setting. [65%] 2023-12-20 [Differential equations]
15. Partial differential equations: Partial differential equations (PDEs) are the most common method by which we model physical problems in engineering. Finite element methods are one of many ways of solving PDEs. [65%] 2023-12-29 [Finite element analysis] [Computational solid mechanics]...
16. Differential-algebraic equations: A differential-algebraic equation (DAE) is an equation involving an unknown function and its derivatives. A (first order) DAE in its most general form is given by \[\tag{1} F(t,x,x')=0,\quad t_0\leq t\leq t_f ... [65%] 2021-12-24 [Dynamical Systems] [Numerical Analysis]...
17. Delay-differential equations: Delay differential equations differ from ordinary differential equations in that the derivative at any time depends on the solution (and in the case of neutral equations on the derivative) at prior times. The simplest constant delay equations have the form ... [65%] 2021-12-24 [Dynamical Systems] [Numerical Analysis]...
18. Ordinary Differential Equations: Educational level: this is a tertiary (university) resource. Subject classification: this is a mathematics resource. Completion status: this resource is just getting off the ground. [65%] 2024-02-23 [Ordinary differential equations]
19. Stochastica: Stochastica is a moth genus in the subfamily Autostichinae. It contains the species Stochastica virgularia, which is found in China (Yunnan). (Biology) [61%] 2024-08-18 [Autostichinae]
20. Adjoint differential equation: to an ordinary linear differential equation $ l (y) = 0 $ The ordinary linear differential equation $ l ^ {*} ( \xi ) = 0 $, where $$ \tag{1 } l (y) \equiv a _ {0} (t) y ^ {(n)} + \dots + a _ {n} (t) y , $$ $$ y ^ {( \nu ) } = \frac{d ^ \nu ... (Mathematics) [60%] 2023-10-25