A team of scientists from the Department of Physics at King’s College London has discovered a set of mathematical equations that makes it possible to build a clock from any sequence of random events, ...

ABSTRACT: Nonlinear differential equations are often extremely difficult to solve. Even three hundred years after its formulation, an analytical solution to the nonlinear Riccati differential equation ...

In fact, the exact reason that our fingers evolved to prune in water remains unclear. Several studies have found evidence suggesting that the wrinkles may improve our grip on objects during wet ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In chemical reaction network theory, ordinary differential equations are used to model ...

We sell different types of products and services to both investment professionals and individual investors. These products and services are usually sold through license agreements or subscriptions.

ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.

Euler Method: The simplest numerical method for solving ODEs, which uses the derivative to project forward. [ y_{n+1} = y_n + h \cdot f(x_n, y_n) ] Heun's Method (Improved Euler Method): A two-step ...

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...

One of the ways that energy transports in fluid is electron thermal conduction. The aim of Inertial Confinement Fusion (ICF) is to show that the thermal conductivity is strongly dependent on ...