5. List of Symbols

$B$	generalized Bernstein polynomial
$\beta$, $\beta_0$	sticking coefficients
$C(X)$	continuous functions on $X$
$C^k$ function	a function with $k$ continuous derivatives
$\chi_X$	the characteristic function of the set $X$
$D_{ijk}^{+x}$	forward difference in $x$ direction
$D_{ijk}^{-x}$	backward difference in $x$ direction
$\delta(S)$	defining length of a schema $S$
$\mathrm{eval}(v)$	fitness of individual $v$
$\mathrm{eval}(S,t)$	fitness of the schema $S$ at time $t$
$F(t)$	fitness of the whole population at time $t$
$F(t,\mathbf{x})$	speed function
$F_{ijk}$	grid values of the speed function
$(g)$	gas phase
$I_R$	vector of fluxes from reflections
$I_S$	vector of fluxes coming from the sources
$\mathrm{image}(f)$	image of a function $f$
$L$	Lipschitz constant
$M_G$	Gaussian mutation operator
$M_U$	random mutation operator
$N(\mu,\sigma)$	normal distribution
$o(S)$	order of the schema $S$
$P(t)$	a set containing the population at time $t$
$\vert P(t)\vert$	the number of individuals in the population $P(t)$
$\phi_{ijk}^n$	grid values of the level set function at time $n$
$\mathit{rsm}$	RSM approximation, a polynomial
$(s)$	solid phase
$U([a,b])$	uniform distribution
$u(t,\mathbf{x})$	level set function
$V(f,[a,b])$	total variation of $f$ over $[a,b]$
$v(f)$	the number of changes of sign of $f$ in $[0,1]$
$x \sim N(\mu,\sigma)$	the distribution of the variable $x$ is $N(\mu,\sigma)$
$Z(f,(a,b))$	the number of real zeros of $f$ in the interval $(a,b)$