The Louvre Museum as seen through the Louvre Pyramid glass in Paris, France. From the National Geographic book The 10 Best of Everything. Smithsonian Institution, Washington, D.C. The Smithsonian is the worldâs largest research and museum complex, with 19 museums and galleries, the National Zoological Park, and various research stations.
1 An arithmetic sequence is a sequence with the difference between two consecutive terms constant. 2  The difference is called the common difference. 3  A geometric sequence is a sequence with the ratio between two consecutive terms constant. 4  This ratio is called the common ratio.
A geometric transformation is any bijection of a set having some geometric structure to itself or another such set. Specifically, A geometric transformation is a function whose domain and range are sets of points. Most often the domain and range of a geometric transformation are both R 2 or both R 3. Often geometric transformations are required to be 1-1 functions, so that they have inverses.. The study of geometry may be approached via the study of these transformations.