Table 2:

Three types of equations obtained from the data transformation process.

Equation Type	Sum	Ratio	Inequality
Source	Hosseini-Sharifabad and Nyengaard, 2007	Gulyas et al., 2010	Jinno and Kosaka, 2006
Region	CA1	CA3	Dentate Gyrus
Species	Rat	Mouse	Mouse
Evidence excerpt	Table 3 row #6, column 4 “Total number of neurons in the granular and pyramidal layers of the rat hippocampus (unilateral values in millions)”	From […] 61 PV-EGFP cells recorded […], in 30 cases the […] boutons were localized to st. pyramidale and only rarely approached ankyrin G-stained profiles (Fig. 1c1–3) suggesting their FSBC origin. Conversely, in the remaining 31 cases the axonal arbor was densest in st. pyramidale and neighboring st. oriens […] and the boutons formed close appositions with ankyrin G-immunoreactive segments […], similar to the axon terminals of AAC.	Table 4 row#15, columns 1 & 2 “Numerical densities (×103 mm−3) of chemically defined GABAergic neuron subtypes in the mouse hippocampus”
Location in publication	Page 6, left center	Page 4, left center	Page 12, Left center
Interpretation	Total number of neurons in the pyramidal layer of CA1 is 324,000	Ratio between PV+ basket and axoaxonic cells is 30:31	Number of parvalbumin positive neurons in granule layer is 3,680 (refer to ‘DG-Biomarkers’ row #6 of supplementary table for data transformation details)
Equation	$x_{69}+x_{72}+x_{75}+x_{79}+x_{81}+x_{84}+x_{86}+x_{87}+x_{91}+x_{94}+x_{96}+x_{97}+x_{100}+x_{114}+x_{131}=324000$	$\frac{x_6}{x_8}=\frac{31}{30}$	$x_7+x_8\le 3680$ $x_7+x_8+x_{17}+x_{21}+x_{22}\ge 3680$
Normalized form	$(x_{69}+x_{72}+x_{75}+x_{79}+x_{81}+x_{84}+x_{86}+x_{87}+x_{91}+x_{94}+x_{96}+x_{97}+x_{100}+x_{114}+x_{131})/324000-1=0$	$\frac{30x_6}{31x_8}-1=0$	$$\begin{gathered} \frac{x_7+x_8}{3680}-1\le 0 \\ \frac{x_7+x_8+x_{17}+x_{21}+x_{22}}{3680}-1>=0 \end{gathered}$$
Least squares form	${((x_{69}+x_{72}+x_{75}+x_{79}+x_{81}+x_{84}+x_{86}+x_{87}+x_{91}+x_{94}+x_{96}+x_{97}+x_{100}+x_{114}+x_{131})/324000-1)}^2=0$	${\left(\frac{30x_6}{31x_8}-1\right)}^2=0$	$$\begin{gathered} \mathit{max}{(0,\frac{x_7+x_8}{3680}-1)}^2=0 \\ \mathit{max}{(0,1-\frac{(x_7+x_8+x_{17}+x_{21}+x_{22}}{3680})}^2=0 \end{gathered}$$
With weights	$r=10\times {((x_{69}+x_{72}+x_{75}+x_{79}+x_{81}+x_{84}+x_{86}+x_{87}+x_{91}+x_{94}+x_{96}+x_{97}+x_{100}+x_{114}+x_{131})/324000-1)}^2$	$r=1{\left(\frac{30x_6}{31x_8}-1\right)}^2$	$$\begin{gathered} r=1\times max{\left(0,\frac{x_7+x_8}{3680}-1\right)}^2 \\ r=1\times max{(0,1-(x_7+x_8+x_{17}+x_{21}+x_{22})/3680)}^2 \end{gathered}$$