New AI framework can uncover space physics equations in raw data

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...
JSTOR Daily

A Polynomial Representation of Hybrid Methods for Solving Ordinary Differential Equations

Mathematics of Computation, Vol. 33, No. 148 (Oct., 1979), pp. 1251-1256 (6 pages) A polynomial representation of the hybrid methods for solving ordinary differential equations is presented. The ...
JSTOR Daily

Stochastic Representation and Singularities of Solutions of Second Order Equations with Semidefinite Characteristic Form

In the theory of partial differential equations, there is no explicit representation of solutions for general degenerate elliptic-parabolic equations. However, Stroock and Varadhan [15] have obtained ...
Risk

Partial differential equation representations of derivatives with bilateral counterparty risk and funding costs

We derive a partial differential equation (PDE) representation for the value of financial derivatives with bilateral counterparty risk and funding costs. The model is very general in that the funding ...
BBC

Revise: Balanced equations Using balanced equations

Balanced equations are used to allow chemists to calculate how much product they will produce from their reactants. The co-efficients in balanced equations represent the number of moles reacting and ...
BBC

Graphs of quadratic functions

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...