This function solves the differential equation y equals y prime.
The link between Lie algebras and Lie groups is a map with this name; that map involves applying this function to the infinitesimal elements of the Lie algebra, which are the generators of the Lie group. The BakerCampbellHausdorff formula gives a way to find the product of this function applied to two non-commuting operators. Applying this to two irrational algebraic numbers always results in a transcendental number according to the (*) GelfondSchneider theorem. Like the geometric distribution, the distribution with this name is memoryless, and its mean equals one over its rate parameter. This function solves the differential equation y equals y prime. For 10 points, name this function which is its own derivative and is the inverse function of the natural logarithm.
The link between Lie algebras and Lie groups is a map with this name; that map involves applying this function to the infinitesimal elements of the Lie algebra, which are the generators of the Lie group.
exponential function or distribution or map (accept e to the x or e to the negative x or other equivalents of exponential; accept exponentiating)