As Alain de Botton wrote in the Architecture of Happiness: "For us to deem a work of architecture elegant, it is hence not enough that it look simple: we must feel that the simplicity it displays has been hard won, that it flows from the resolution of demanding technical or natural predicament".
Yet those are dumb and hence dangerous enough to require their own cages and work spaces.
Hence, not enough phosphate ions were available to act as pH buffers.
To validate the model and hence gain enough confidence in using it in a performance design, its predictions are compared to the experimental test results obtained by Tanimura and Sato (2005) as shown on Fig. 4.
The molar quantities used for each sample would take into consideration the amount of aluminium present and hence use enough of the sample which would provide the required moles of aluminium.
Hence, for enough large m, ( x, v i, z m ) ∉ Gr ( Q m ), ∀ i ∈ { 1, …, n }, i.e., Q m ( v i, x, z m ) does not hold for any i ∈ { 1, …, n }, which is a contradiction.
Hence, for enough large n, ( x n, v n, z n ) ∉ Gr ( Q n ), i.e., v n ∈ T n ( x n, y n ), z n ∈ P n ( x n, y n ) and Q n ( v n, x n, z n ) does not hold, which is a contradiction.
We concluded therefore that the libraries were all fully saturated and hence large enough for gene expression analysis.
