The press-schechter formalism is a way of predicting how many galaxies, stars, or other objects might form in the universe at different times.
Imagine you have a big box of building blocks, and you’re trying to build different structures with them. The blocks come in different sizes, and you can only use certain combinations of blocks to make specific shapes.
Similarly, in the universe, there are certain conditions needed for objects such as galaxies or stars to form. The press-schechter formalism takes into account things like the amount of matter and energy in the universe, as well as fluctuations in that matter and energy, in order to predict how many objects might form.
It’s like looking at how many building blocks you have, and then figuring out how many different shapes you can create with them.
By using this formalism, scientists can make predictions about how many galaxies, stars, or other objects might form at different times in the universe's history. It’s a bit like trying to predict how many different structures you could build with your box of building blocks, and how they might change over time as you add or take away blocks.