The phrase "are various examples of" is correct and usable in written English.
It can be used when introducing a list or discussion of different instances or cases related to a particular topic.
Example: "In the study of climate change, there are various examples of how human activity has impacted the environment."
Alternatives: "include several examples of" or "feature a variety of examples of".
These are various examples of how Somerville might be seen as a thriving community using the above criteria.
What follows are various examples of the types of notes a book editor or critic might come across in the course of opening the morning's mail.
There are various examples of similar obfuscation throughout the history of the Soviet Union, beginning with Lenin and continuing through Yuri V. Andropov, who succeeded Leonid I. Brezhnev in 1982.
While there are various examples of each extant, indicating his diverse interests and styles, the most famous paintings associated with Muqi include Six Persimmons; a triptych with a white-robed Guanyin at the centre flanked on either side by a scroll of monkeys and a crane; and a surviving set of four sections of an original set of Eight Views of the Xiao and Xiang Rivers.
There are various examples of abandoned townships, such as Coille nam Bard on the east coast.
Following this broader definition, there are various examples of the use of mixed methods to collect behavioural data in medical research on sexual and reproductive health.
Thus, recently, there have been various examples of applications of metabolomic techniques to rice plants, indicating that metabolomics is accepted to be a potent tool for the study of rice biology.
Experiences obtained in the convergence areas have been used to inform national level legislation and policy-making and there have been various examples of replication of initiatives from the convergence areas to cover wider geographic areas.
There have been various examples of successful small-scale interventions that aim to improve sexual and reproductive health and decrease HIV in young people in sub-Saharan Africa [ 1, 2].
There are various examples in literature of hybrid satellite and terrestrial system architecture for emergency mobile communications.
The Brahman caste in India, the Spartiates in Sparta, the eupatridae in Athens, the patricians or Optimates in Rome, and the medieval nobility in Europe are various historical examples of the social aristocracy or nobility.
