Classical thermodynamics is a mathematical structure that describes the behavior of gases, liquids, and solids as the temperature, pressure, and composition change.
Broadly speaking, measurement theory sets out to (i) identify the assumptions underlying the use of various mathematical structures for describing aspects of the empirical world, and (ii) draw lessons about the adequacy and limits of using these mathematical structures for describing aspects of the empirical world.
An Artificial Neural Network (ANN) model is a flexible mathematical structure capable of describing complex nonlinear relations between input and output datasets.
It may be argued that the modal structural account does not require an isomorphism between (applied) mathematical structures and those describing the material situation.
Section 4 describes the mathematical structure of the intermediate approach.
There have been several attempts to describe the mathematical structure of inconsistent pictures using classical consistent mathematics, by theorists such as Cowan, Francis and Penrose.
Garrett Lisi, willfully cut loose from the world of academic physics, built his theory as an outsider might, relying on a grab bag of component parts: a hand-built mathematical structure, an unconventional way of describing gravity, and a mysterious mathematical entity known as E8.
Epistasis occurs whenever mutations interact non-linearly with one another, and it represents a major challenge in describing the mathematical structure of real fitness landscapes.
The mathematical structure of the Stokes equations allows one to describe the flow around a three-dimensional object using only information regarding its geometry.
Dr. Tegmark maintains that we are part of a mathematical structure, albeit one gorgeously more complicated than a hexagon, a multiplication table or even the multidimensional symmetries that describe modern particle physics.
