The phrase "above expositions" is correct and usable in written English.
It can be used to refer to explanations or presentations that have been mentioned earlier in a text.
Example: "The conclusions drawn in this report are based on the above expositions regarding the impact of climate change."
Alternatives: "previous discussions" or "earlier explanations".
The terms real and imaginary do not therefore accord with the above exposition.
Notice that in the above exposition, the posterior probability is written as $P(h_{\theta} \mid s_{n/5})$.
It seems from the above exposition that the flow stoppage at displacement of 2 mm is controlled by the right-hand constriction in the fracture landscape.
(In practice, we cut off the distribution at a maximal value of interest M and set θ q :(n, e)↦min{ n+ e, M}.) The above exposition sketches exact pattern matching statistics with PAAs.
The methods used in all problems above are standard; however, their exposition in the framework of the given problems is new.
In what is possibly the best presented and above all realistic exposition I've yet seen on what it's like to extend a European startup into Silicon Valley, Andy McLoughlin, co-founder with Alastair Mitchell, of Huddle, socked it to the crowd at the annual Future of Web Apps London event this week.
Ethiopatogenesis is correlated with external factors, above all UV exposition, and skin and adnexal phenotypes; for this reason people from the regions of insular Italy are more at risk from this pathological state.
With the above three criteria outlined, we now provide a more explicit exposition of the term abstraction in SFL with respect to the theoretical dimensions of delicacy, instantiation and stratification.
One of the solutions to this problem is to shorten the program by omitting repeats, mainly those of the opening movements' expositions (however, this practice is highly disputed, as noted above).
Finally, in mid secondary school, they shift from external cause to internal cause; they move from the 'expounding' sector to the 'exploring' one, and learn to produce expositions and discussions such as the historical exposition analysed in Figure 20 above, which is organized globally in terms of the rhetorical relation of 'evidence' — internal cause.
