The influence of the abacus on mathematical thinking was strong enough that early Latin texts often claimed that in the process of adding "a number to a number", both numbers vanish.
The corresponding deterministic system is known as Kirchhoff beam (or Kirchhoff-Love equations), it results from the Cosserat rod model in the asymptotic limit when the slenderness parameter and the typical Mach number vanish [30].
They would miss the manatee, because it seems so cuddly, and the Florida panther, which is so exotic, and maybe even the Keys deer, but what would be lost, really, if a thing that is hardly here at all -- in substance, in numbers -- vanished overnight?
The limited bed expansion observed during fluidization in the creeping-flow region weakened with the increasing Reynolds number and vanished when a critical value of Reynolds number was exceeded.
The more general impairment could have been induced by phonologically more complex number words in contrast to letters, so that potential facilitation from number semantics vanished in aphasic patients (cf. [ 69, 70]).
He asked for her phone number before saying goodnight, but when he arrived home at 3 a.m., Mr. Meyers realized that her number had vanished from his cellphone.
This is because, in training algorithm, the number of training samples will influence the number of vanishing component polynomials, the number of monomials contained in vanishing component polynomials, the order of polynomial, etc. [4], thereby largely increasing the amount of calculation.
In order to obtain smooth biorthogonal wavelet bases, certain numbers of zeros at for and, are always imposed; that is, the filters have certain numbers of vanishing moments [10].
In [18], three separable prediction filters with different numbers of vanishing moments are employed, and then the best prediction is chosen according to the local features.
In order to obtain smooth wavelet bases, it is always imposed certain numbers of zeros at z = −1 for H0 z) and H ~ 0 ( z ), i.e., the filter has certain numbers of vanishing moments[14].
The analysis also leads to an unexpected conclusion that the velocity filed computed by traditional preconditioned Roe scheme does not satisfy the divergence constraint as the Mach number vanishes.
