Manifold Connect

Poisson Distribution

Two Dimensional Matrix Transformation

Invariant

 Invariant is a property, held by a class of mathematical objects, which remains unchanged when transformation.

Transformation: is a function who maps to itself, in Euclidean geometry, move every point in the same direction or a constant vector for every point as shifting the origin of the coordinate system. The syetem can be rotate (sniping)

Topology

• A definition for General Topology is Geometry of Sets, and the 1 to 1 and onto. A detail properties must be continuous (one to one correspondence),  Compact, connected (onto)

• Algebraic Topology considers homology (one to one correspondence) a manifold is not a Circle. Homotopy record their properties can be consider onto.

•  Differential Topology considers the Geometry of the Manifolds

•  Geometric Topology considers manifolds and maps (one to one correspondence)  between them, particularly embeddings of one manifold into another.

One to One immmersion and M is compact then F is an embeding

Let f will be determinant of a nxn matrix

Normal

p= N is a normal to Q at p