The phrase "and demonstrated by a" is correct and usable in written English.
It can be used when referring to evidence or examples that illustrate a point or concept.
Example: "The theory was supported by various studies, and demonstrated by a recent experiment that confirmed the initial findings."
Alternatives: "and evidenced by a" or "and shown by a".
The paradox is fully explored at the exhibit, and demonstrated by a collection of memorabilia from both games.
The proposed model has been implemented in Matlab/Simulink, and demonstrated by a case study.
A method to correct such an undesirable effect is suggested and demonstrated by a numerical particle tracking through the calculated three-dimensional magnetic field.
A bio-detection method and devices based on RF electric signals and MEMS are proposed and demonstrated by a label free method.
The framework is validated using two axioms and demonstrated by a risk study of the propulsion malfunction of an offshore Floating Production, Storage and Offloading (FPSO) during tandem offloading operations.
The statistical average of this method corrects the spurious shock speed, as will be proved with a scalar model problem and demonstrated by a wide range of numerical examples in inviscid detonation waves in both one and two space dimensions.
Most important, a general solution for forced vibration is formulated and demonstrated by an example.
In particular, we use the Lur'e neuron model to construct a biological oscillator and demonstrate by a simple pendulum example that the oscillator is capable of robustly exciting the natural motion of the mechanical system.
She explained that she had a small business making rags, and demonstrated by ripping a tattered white nightgown.
Harmonic mitigation technologies have been compared, current state of the art technology reviewed and demonstrated by designing a harmonic filter.
In this study the potential of the existing GIGL monochromatic model [ 3] has been realized and demonstrated by introducing a flexible chromatic GRIN lens model.
