It is not an arithmetic linear sequence ... monitor the growth of bacteria. Geometric sequences are used in everyday life when something follows a pattern. An example of this is in scientific ...

are among the fundamental objects in arithmetic geometry ... In this way, they are the natural candidates for the geometric realization of Langlands correspondences,a first example being Harris-Taylor ...

This includes basic notions such as sets and functions: Properties of sets, definition and properties of functions; logarithms and exponentials: and their properties; basic series summations: ...