The phrase "and hence the quantity" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from the preceding information, particularly in mathematical or scientific contexts.
Example: "The experiment yielded consistent results, and hence the quantity of the substance was deemed accurate."
Alternatives: "therefore the quantity" or "thus the quantity".
High infiltration can reflect high recharge, therefore decreasing the potential of surface runoff and hence the quantity of transported materials.
Banks are just another kind of financial intermediary, and the size of the banking sector — and hence the quantity of outside money — is determined by the same kinds of considerations that determine the size of, say, the mutual fund industry.
Thus one should be able to find vP, and hence the quantity Q (= APvP) that engineers refer to as the rate of discharge, by measuring the difference of level h of the fluid in the two side tubes shown in the diagram.
Malt extract (ME) is probably the single most important parameter for maltsters and brewers due to its influence on ethanol production and hence the quantity of beer produced.
As the loading is increased beyond 5 wt %, it is clear that the Sn−Sn interactions, and hence the quantity of extraframework Sn x O y species, increases, evidenced by increased Sn−Sn coordination numbers, an increase in the coordination number of the longer Sn−O distance, and an increase in the splitting structure shown in the χ data.
By Stirling's formula, (m_{alpha,k}^{1/k}approx ck^{alpha /2}) as k→∞, and hence the Carleman quantity (in Stieltjes case) is equal to {C}[!f_{alpha}]=sum_{k=1}^{infty}m_{alpha,k}^{-1/ 2k)}=infty (text{if} {alpha}le 4).
In the initial biomass formation phase, the cell density is rather low and, hence, the measurement quantities that could be used to determine the process' state depict small values and are rather severely distorted by measurement noise.
Scale-up of the reactor was investigated by increasing the gap-width of the annulus and hence increasing the quantity of feed processed.
This gave the constants ke and km physical dimensions and hence the electro-mechanical quantities ε0 and µ0 were also given physical dimensions.
The structure and quantity of NOM in water sources and hence the quantity and type of DBPs formed vary with geographic location and season (Chen and Weisel 1998; Rodriguez and Serodes 2001).
Through many decades of genetic and breeding studies, researchers have found that the prolamin seed storage proteins play important roles in determining gluten strength and quantity (and hence the viscoelastic properties of dough and end use qualities) of commercial wheat varieties [2].
