We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

Using the q-trigonometric definitions of Gosper, we devise a new q-exponential function. Based on this concept, we derive a number of identities involving the Jacobi theta functions. These ...

Fear is an adaptive emotion that helps us cope with threatening situations. Deep within the temporal lobe of the brain is the amygdala, the most studied brain area involved in fear. The amygdala uses ...

Place cells are specialized neurons in a brain region known as the hippocampus, which have been found to fire when animals are in specific locations. These cells don't fire randomly, but their ...

Intermittent theta burst trans-spinal magnetic stimulation plus treadmill training improves gait speed more than treadmill ...