For a continuous map of the interval the following conditions are equivalent: (1) the period of every periodic point is a power of 2, (2) $\bar R^{(+)} \cap \bar R^{(-)} - R = \varnothing$, and (3) ...

Do examples as in the title exist? It depends on how the term Riemann sum is understood. For the standard, left, or right Riemann sums such examples do not exist. However, as we will see, they do ...

The study harnesses data from over one million embryonic cells spanning all stages of embryo development and represents a significant advance at multiple levels. “Just capturing the entirety of ...

Recent fMRI studies have revealed functional specificity in the normal human brain at an increasingly fine scale, suggesting the existence of graded maps and distinct functional modules for a wide ...

These images look like the world’s messiest painter’s palettes, but they’re actually maps of brains. The weird shape results from flattening the convoluted surface of the brain onto two dimensions, ...