The phrase 'this text demonstrates' is correct and usable in written English.
You can use it when you want to show a connection between a particular text or idea and a larger point you are trying to make. For example, "This text demonstrates why voting is so important in a democracy."
The numerical examples presented in this text demonstrate the unconditional stability and high-order convergence of the proposed algorithms, as well the very significant improvements they can provide (in one of our examples we demonstrate a one thousand improvement factor) over the computing times required by some of the most efficient alternative general-domain solvers.
A third possibility is that the text demonstrates a kind of continuing dialectic between skepticism and the conviction that one has genuine knowledge, and that the dialectic has no envisioned end.
More significantly, the cases discussed in the text demonstrate that the social time mechanism further develops the discussion of contract theory.
The smooth muscle experiments (Figure 1), those on sheep airway function (Figure 7), as well as in the data concerning horses with heaves described in the text, demonstrate that ascorbate has absolutely no measurable effect on uncontracted, ACh-contracted, or carbachol-contracted airway smooth muscle in vitro or on lung function in vivo in four different animal species.
Ms. Letourneur's device of bringing the three friends together at the beginning of the film to recall their misadventures, all while eating cupcakes and wondering whom to text, demonstrates Ms. Letourneur's modest yet ferocious talent.
A text demonstrates the engine will start and run under load.
Following text demonstrates complete phase wiz implementation of DMAIC methodology at a large-scale food-processing unit resulting in improvement in productivity and quality.
A leaked draft text demonstrates that investment provisions of the TPP do not allow any general exceptions on health and consumer protection grounds [ 115, 129].
"On the contrary," the teacher told us, "the texts demonstrate that Shia tenets are integral to Islam".
