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Singular solution, in mathematics, solution of a differential equation that cannot be obtained from the general solution gotten by the usual method of solving the differential equation.
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Steady states of many lumped parameter systems are described by equations that cannot be reduced to a single equation.
The method includes an approximate Riemann solver which is suitable for a system of equations that cannot entirely be expressed in conservation form.
It is proposed a novel method to solve looped pipeline network problems that seeks to deal with limitations of the available methods The problem is modeled as a nonlinear system of equations formed by equations that cannot be solved sequentially, characterizing the resolution as a simultaneous-modular procedure.
It's a math equation that simply cannot be solved.
It is interesting to note that we may be able to estimate a spherical crack volume or stress-free volume (Equation 51) that cannot be observed.
The rule-based model of Blinov et al [ 35] can account more fully for potential molecular diversity; however, like others it is a differential equation model that cannot well describe cell surface heterogeneities, such as microdomains [ 52] or anomalous diffusion of surface receptors [ 53].
However, because this equation contains nonlinearities that cannot be solved analytically, numerical techniques are necessary (i.e., Schrijver et al. (2006) or Metcalf et al. (2008)).
The equation above poses a condition that cannot be satisfied because the cisoids' gains c n are different from zero, and therefore, ∑ n = 1 N c n 2 > 0. This concludes the proof.
For instance, they often display equations as separate graphic images that cannot be resized or searched and greatly increase the size of the file.
An example demonstrated that the augmented neural field equations can produce spatiotemporal patterns that cannot be generated with corresponding 'classical' neural fields.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com