The phrase "as demonstrated for example" is correct and usable in written English.
It can be used when you want to introduce a specific instance or illustration that supports a point you are making.
Example: "The theory of relativity has many practical applications, as demonstrated for example in GPS technology."
Alternatives: "as shown, for instance" or "as illustrated, for example."
Moreover, the strategy of tethering photo-switchable moieties into biomolecules has provided an unprecedented temporal control of purposely designed nanodevices, as demonstrated, for example, by the light-mediated regulation of the activity of enzymes and biochannels.
On the Republican side of the aisle, the aversion to federally funded scholarship aid – as demonstrated, for example, in the budget passed last week by the Republican House — has significant consequences for the party's core supporters.
Palestinian activists, often in collaboration with the Israeli peace movement, have been quietly laying the groundwork for nonviolent resistance in recent years, as demonstrated, for example, by the constant stream of protests against house demolitions and evictions, and the Israeli separation wall.
It is shown that such systems can be developed to reduce the weight supported by active actuators as demonstrated, for example, by examining suspension systems of very low natural frequency or with a very large supporting stiffness or with a viscous damper or a self-excited vibration oscillator.
As demonstrated, for example, Bertrand in his thesis (1996).
All of these features are typical of observed DFs, as demonstrated for example in the THEMIS P1 event of 27 February 2009 discussed by Runov et al. (2009).
Octahedral metal complexes are attractive structural templates for the design of enzyme inhibitors as has been demonstrated, for example, with the development of metallo-pyridocarbazoles as protein kinase inhibitors.
However, this does not exclude the possibility that subtle differences exist between the genetic backgrounds as has been demonstrated for example for Sm1021 and Sm2011 [40].
The provision of clean water, sanitation, better health care and health education can significantly reduce the incidence of schistosomiasis, as is being demonstrated for example in Egypt, which has been afflicted with schistosomiasis since Pharaonic times.
It is likely that in a high proportion of individuals with extreme phenotypes (such as extreme high or low BMD in humans) a monogenic – usually rare – mutation underlies their extreme phenotype, as has been demonstrated, for example, with osteogenesis imperfecta type 1 and Marfan's syndrome.
Likewise, enhanced HuR expression was observed in many human tumors and increased levels of total and/or cytoplasmic HuR correlate with a high grade malignancy as convincingly demonstrated for example, in human colorectal cancer.
