The phrase "an example to establish" is correct and usable in written English.
It can be used when you want to provide a specific instance or case that serves to clarify or support a point you are making.
Example: "To illustrate the importance of teamwork, I will present an example to establish how collaboration led to our project's success."
Alternatives: "a case to demonstrate" or "an instance to illustrate".
A design of a "two-time constant with a delay" gated trapping strategy using "idealized" potentials in a normalized system is given as an example to establish that in principle gated trapping strategies can capture ions that range over three decades of m/z and two decades in velocity.
As an example, to establish its core competitiveness, Yuebao is providing distinct and comprehensive financial services based on detailed client demands.
First of all, take the laser TV as an example to establish 3D gamut of laser TV in the CIE-LAB color space [9], which contains the luminance information and human eyes characteristic.
In the present study, the Lower Silurian shale from the Fuling Block was taken as an example to establish a geological model of shale gas storage capacity and loss (Fig. 7).
The quotient and difference operations are used in a first example to establish PDFs for the hazard quotient and excess wind loading on a concrete chimney.
It's enough to squeeze the right arm, for example, to establish a phone connection to a specific person.
For example, to establish a difference of 2% in postoperative bleeding with a α = 0.05 and a power of 80%—about 500 (inclusion of estimated lost to follow-up) patients are needed per group.
He tries, for example, to establish a parallel between his maternal grandfather, Joseph Dakak, and Franz von Papen, the German chancellor who ended up as his country's wartime ambassador in Ankara.
For example, to establish a maximum upper estimate, net costs and savings were calculated using only upper input values for the risk range (instead of averages).
This longer time required for correction of spontaneous motor function may reflect continued growth and maturation of the graft between 8 and 12 weeks in order, for example, to establish a threshold level of terminal innervation in the host striatum.
Boolos (1993) suggests that we take Russell's paradox, for example, to establish that not every condition determines a set.
