however, multiplicity of five steady states is found only in a rather small region of the parametric space which lies outside the domain of "feasible" parameter values for low and intermediate porosity values.
As the effects of discretization errors are eliminated by employing a sufficiently large number of collocation points (≥ 20) for reactor axis discretization, maximal multiplicity of five steady states appears.
Moreover, we use a multiplicity of three which yields a decoder with a reasonable trade-off of error tolerance and decoding time, i.e. less than a second [71].
In the present Experiment 1a, however, it decreased tumor multiplicity by 50% at a control tumor multiplicity of seven carcinomas per rat.
One well-known result is that the multiplicity of zero eigenvalues of the graph Laplacian is equal to the number of components in the graph [ 9], and the number of components within the graph is equal to a topological measure known as Betti [ 10].
The eigenvalues of (U_{4}^{intercal}U_{4}) are 2, 1, and 0 with multiplicities of two, three and three, respectively.
Multiplicity of testing (three versus two FIT samples) and different prevalences of advanced adenomas (higher in the present study) may partly explain the differences between the two studies in FIT performance.
Hence, they occur with multiplicities of four.
Infections with C. trachomatis LGV443 (serotype L2), UW-3/CX (serotype D), and TW-5/OT (serotype B) (kindly provided by Dr. Ted Hackstadt, LICP, NIAID) at multiplicities of one were as previously described [35].
Since for every one of the 120 different ways to arrange the biology books there is still 120 different ways to arrange the physics books, the multiplicity of the two sets is giving as the product of the individual pieces, 120*120 = 14,400.
