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This triggers other breakages which, in turn, trigger further waves, causing the strand to fragment.To put their mathematical solution to the test, they devised a rigorous experiment.
Darren Aronofsky made a strong impression in 1998 with Pi, his low-budget debut as writer-director, in which a number theorist descends into insanity as he searches for a mathematical solution to the secret of the universe.
Seeking a mathematical solution to a political problem, two state senators have proposed adding a 99th member to the State House, which now has 98 and is deadlocked in a 49-49 split between the two parties.
Physicists have been searching for decades for a simple, mathematical solution to a model of phase transitions.
Micrographs in this particular application should be distributed within a single series as an unequivocal mathematical solution to the problem is available.
We proposed a multilayer physical model and mathematical solution to carry this task based on the laws of mass action and thermodynamics.
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Fermat and Pascal were not the first to give mathematical solutions to problems such as these.
The surprise is that, just as real circles can't be squared, and real moving matter doesn't cross the barrier of the speed of light, the mathematical solutions to the billiard-ball wormhole scenario seem to billiard-ball wormholeat real scenarioseemn'togenerate grandfather paradoxes.
However, even with such modifications, one would still expect comparable formal mathematical solutions to those arising from the case of constant density and viscosity as outlined below.
For finding approximate mathematical solutions to linear differential equations using spatially changeable coefficients the Wentzel-Kramers-Brillouin (WKB) approximation technique is considered.
A simple case of application is provided in Section 4, focussing on TS&M-related parameters optimization for a stand-by safety-related system, which demonstrates how the SSGA-based optimization approach works at the system level, providing practical and complete alternatives beyond only mathematical solutions to a particular parameter.
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