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For even if you have not heard of him, you are very likely to recognise the swirling computer-generated images of the Mandelbrot set, the colourful, coral-like mathematical structure that bears his name.
More generally, manifold substantivalism asserts that the manifold M of local spacetime theories is the mathematical structure that represents spacetime.
ANN is a flexible mathematical structure that is capable of identifying complex nonlinear relationships between input and output datasets.
This model has a mathematical structure that makes it possible to explain, study and control the dynamics by means of phase plane analysis.
Classical thermodynamics is a mathematical structure that describes the behavior of gases, liquids, and solids as the temperature, pressure, and composition change.
It seeks to make more transparent what that acceptance involves by trying to find a single mathematical structure that represents a physical spacetime system rather than the equivalence class of intertransformable structures licensed by Leibniz equivalence.
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Models are abstract mathematical structures that provide possible interpretations for each of the non-logical primitives in a formal language.
Individual components are linked with mathematical structures that enable computational analysis of the network as an integrated system.
Particular objective has been the use of mathematical structures that are natural for each concept related to symmetries of BVPs, giving them a clear geometrical meaning.
Weisberg (2013), building on many insights from Giere's work, presents a broad view of modeling that includes mathematical structures that are "trajectories in state spaces" (29), but also permits concrete objects and computational structures such as algorithms to be deemed models.
The warning that we have reached this point of physical superfluity is that we can make changes to these mathematical structures that make no difference to what we observe and also outstrip the determining power of the laws of the theory.
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