"quantity left" is correct and usable in written English.
You can use it when referring to the amount of something that is remaining after some has been used or taken away. For example, "We quickly realized that there was not nearly enough paint to complete the job; we estimated that we only had about half of the original quantity left."
which represents measurements of a quantity (left{ {left. {v_{i} } right}} right).
which represents measurements of the same quantity (left{ {left. {v_{i} } right}} right).
Therefore, the quantity (left | vec(Delta mathbf {H}_{k,i})^{H} e_{k,i}^{d,j}right |) is beta-distributed with parameters (1,N 2−2), and its expectation is equal to 1/(N 2−1).
The results reveal that as a increases, optimal shortage period (left( {t_{1}^ right),) optimal selling price (left( {p^ right)) and optimal preservation technology cost (left( {xi^ right)) decreases whereas optimal inventory period (left( {t_{2}^ right)), optimal total profit per unit (left( {varPi_{rm A}^ right)) and optimal ordering quantity (left( {Q^ right)) increase which is quite rational.
On the other hand, we can observe that the optimal shortage period (left( {t_{1}^ right)), optimal inventory period (left( {t_{2}^ right)), and optimal ordering quantity (left( {Q^ right)) increase with an increase in the value of scaling parameter ((beta_{1})).
From Table 3, it can be observed that for promotional effort (left( rho right)) increases, optimal selling price (left( {p^ right)), optimal preservation technology cost (left( {xi^ right)), optimal total profit per unit (left( {varPi_{A}^ right)) and optimal order quantity (left( {Q^ right)) increase, while optimal shortage period ((t_{1}^)) and optimal inventory period ((t_{2}^)) decrease.
A small amount of 10,000 cell ChIP-DNA was used for examining enrichment and establishing quantity, leaving ca. 60 pg DNA.
It is clear from steps (i) to (iii) that each time a new observation Yn+1 is received, the quantities (left (tau _{n+1}^{i}right)_{1le i le N}) can be updated only using Yn+1, (left (tau _{n}^{i}right)_{1le i le N}) and the particle filter at time n.
As can be seen from the truncated DSEs of the scalar two-point function and the scalar-gauge field vertex in Fig. 4 we have the following four quantities left in our truncation: the propagators of the scalar and the gauge fields, the three-gauge field vertex and the scalar-gauge field vertex.
"Importing blood from other places which do accept MSM donors, even in limited quantities, leaves the door open for MSM blood to do just that.
Here we only provide a summary of the relevant computational quantities, leaving the major derivations and full explanation to Appendix A.
