Sentence examples for mathematical explanation for from inspiring English sources
On the surface, there is a simple mathematical explanation for such speculation.
But scientists recently developed a model that mimics special time-keeping cells in the body and offers a mathematical explanation for why traveling from west to east feels so much worse.
Dr. Arnold work on how fluids flow was applied to the dynamics of weather, providing a mathematical explanation for why it is not possible to make forecasts months in advance.
Stochastic functional differential equations [9] give a mathematical explanation for such a system.
There is a mathematical explanation for r>1/2 in terms of the underlying renewal process.
Scientists seeking to provide a mathematical explanation for the phenomenon, long noticed by travelers, built a model that mimics the body's timekeeping cells, using factors like light sensitivity, the brightness of the light, and how much people's internal clocks are "skewed" from real time an offset that can be as long as 1 hour.
Reasonable mathematical explanations for the directed transport phenomenon of Brownian particle in SF ratchet model are also formulated on the basis of the existence and variation rule of the limit cycles and numerical simulations.
For example, refinements of the Melrose–Taylor parametrix techniques give, in some cases, the optimal resonance free region defined by ( F ( x ) = x^{ -beta } ), ( beta > 0 ) and a mathematical explanation of a Sabine law for quantum corrals [17].
Starting from a mathematical explanation of the underlying mechanism for vibration suppression, a quasi-elliptical tool servo (QETS) technique and the corresponding optimal toolpath determination algorithm are proposed to overcome the inherent defects in F-/STS turning of MLAs.
Whereas these features are graphically evident on examples and heuristically well understood in the engineering community, there is no at present mathematical explanation of these phenomena, valid for general signals in L2 and, more in general, in the space S′ of temperate distributions.
See also Pincock 2011b for a detailed working out of the mathematical explanation of the rainbow that extends this approach and Lange 2009 for dimensional explanations (which are also mentioned by Batterman as the simplest forms of asymptotic explanations).
