a	Population factor
p	Fluctuation level
$\mathrm{d}$	Embedding dimension
${\mathrm{D}}_{\mathrm{f}}$	Fractal dimension of the bulk
${\mathrm{D}}_{\mathrm{i}}$	Local fractal dimension at iteration i
${\mathrm{D}}^{(\mathrm{i})}$	Local fractal dimension corresponding to iteration i between the topical scales ${\mathrm{l}}_{\ast \mathrm{i}}$ and ${\mathrm{l}}_{\ast \mathrm{i}-1}$
${\mathrm{D}}_{\mathrm{T}}$	Topological dimension
${\mathrm{D}}_{\mathrm{\infty }},{∆}_{\mathrm{\infty }}$	Fractal dimension of the crest
${\mathrm{l}}_{\ast \mathrm{i}}$	The average interparticle distance at a certain iteration i
${\mathrm{l}}_0$	Integral scale
${\mathrm{l}}_{\mathrm{i}}$	Size of a block at one iteration i
$\mathrm{M}(\mathrm{r})$	Number of grid cells at scale r
${\mathrm{n}}_{\mathrm{b},\mathrm{i}}$	Number of points thrown in one of the block areas at iteration i
${\mathrm{n}}_{\mathrm{b},\mathrm{i}}$	Number of points by a certain block associated with iteration i
${\mathrm{N}}_{\mathrm{b},\mathrm{i}}$	Number of blocks at iteration i
${\mathrm{n}}_{\mathrm{c},\mathrm{i}}$	Number of points thrown in the cross zones at iteration i
${\mathrm{N}}_{\mathrm{F}}(\mathrm{r})$	Number of affected meshes at scale r
${\mathrm{n}}_{\mathrm{i}}$	The number of points in mesh i
${\mathrm{N}}_{\mathrm{p}}(\mathrm{r})$	Minimum number of overlays with thickness r to cover the spatial extension ${\mathrm{\Omega }}_{\mathrm{p}}$ at fluctuation level p
${\mathrm{r}}_{\mathrm{i}}$	Observation scale
Ωp	Fluctuating structure
$\mathrm{V}$ p $(\mathrm{r})$	Volume occupied by the spatial extension Ωp of fluctuation at level p at scale r
${\mathrm{\alpha }}_{\mathrm{p}}(\mathrm{r})$	Relative structure functions of number of points at level of fluctuation p
$\mathrm{\gamma }$	Reversibility efficiency
${\mathrm{\gamma }}_{\mathrm{s}\mathrm{t}\mathrm{a}\mathrm{t}}$	Statistical reversibility efficiency
${\mathrm{\gamma }}_{\mathrm{g}\mathrm{e}\mathrm{o}}$	Geometrical reversibility efficiency
${∆}_{\mathrm{f}}$, ${∆}_1$	Bulk dimension
${∆}_{\mathrm{p}}$	Dimension of fluctuation level p
$\mathsf{\theta }$	Symmetry scale (intermittency parameter)
${\mathrm{\mu }}_{\mathrm{p}}(\mathrm{r})$	Relative structure functions of p-order energy dissipation rate at scale r
${\mathrm{\nu }}_{\mathrm{p}}(\mathrm{r})$	Relative structure functions of the velocity fluctuation δV(r) at scale r
${\mathrm{z}}_{\mathrm{p}}$	Scaling exponent of average fluctuation rate of number of points or velocity at fluctuation level p
${\mathrm{\tau }}_{\mathrm{p}}$	Scaling exponent of energy dissipation rate of order p
$\stackrel{-}{\mathrm{\epsilon }}(\mathrm{r})$	Average energy dissipation rate over the real active part of the field
$<{\mathrm{\epsilon }(\mathrm{r})}^{\mathrm{p}}>$	Energy dissipation rate of order p
$n_i$	The number of points in cell i
$<n_i(r)>$	Mean number of points at given scale $r$
${<{\delta n}_i\left(r\right)}^p>$	Mean fluctuation rate of points number at fluctuation level p at scale r
${{<{\delta n}_i(r)>}^p}_F$	Mean fluctuation rate of point numbers on affected blocks corresponding to the fluctuation level p
$\mathrm{\delta }\mathrm{V}(\mathrm{r})$	Velocity fluctuation
$<{\mathrm{\delta }\mathrm{V}(\mathrm{r})}^{\mathrm{p}}>$	Structural function of order p of the velocity fluctuation δV(r)