Therefore, for the p- and v-nullclines to intersect and a co-existence steady state to exist, the zero of f (v), f zero, must fulfill (24) as follows from (22) (if f zero ≥ 1, the system evolves to the linearly stable tumour-free steady state (p, v) = (0, 1)).
Since the former is a zero of the RHS of Equation (5) and the later is the zero of the gradient of the MSE (the cost in the RHS of (4)), we study the connection between the two.
Since G ( k ) is not a constant (otherwise, either G is a constant, or the zero of G have multiplicity at most k), we may assume ζ 0 is not a zero or pole of G ( k ).
In our calculations, we shall neglect these two contributions to the applied potential in Eq. 8 because Vpzc merely shifts the zero of that potential, while a proper modeling of Vcl involves large uncertainty [23, 24].
In his own words, he reduced everything to the "zero of form".
This "truth" that was revealed to him led him into nothingness, into the zero of form, into self-destruction.
The zero of a level-set function is used to specify the location of the discontinuity.
But naturally the zero of the year award can only go to BP's former chief executive, the gaffe-prone Tony Hayward.
The appearance of the Hidden Spectrum near the zero of the Hamiltonian, or equivalently below the norm of the adjacency.
Non-zero computational delays result in a multivariable generalization lead element being added to the controller with the zero of the lead element at the origin.
"There's usually between two and three a year," said Deputy Inspector Eric R. Rodriguez, the commanding officer, seeking to explain both the spike of 2007 and the zero of 2008.
