Nullity distributions associated with Chern connection

Integral trees with given nullity

A graph is called integral if all eigenvalues of its adjacency matrix consist entirely of integers. We prove that for a given nullity more than 1, there are only finitely many integral trees. It is also shown that integral trees with nullity 2 and 3 are unique.

Connection Traditional Architecture Associated With Sustained Construction in the Areas Humid and Hot Dry

Sustainable architecture is known as an important strategy in recent years and all around the world are cooperating to achieve this by use of natural elements. There are many examples of residential buildings in Iran s past and its traditional architecture that the architecture in the interim of paying attention to aesthetic issues and preserving the natural environment acts in a way that meets...

Connection Traditional Architecture Associated With Sustained Construction in the Areas Humid and Hot Dry

Sustainable architecture is known as an important strategy in recent years and all around the world are cooperating to achieve this by use of natural elements. There are many examples of residential buildings in Iran s past and its traditional architecture that the architecture in the interim of paying attention to aesthetic issues and preserving the natural environment acts in a way that meets...

The Rank+Nullity Theorem

The rank+nullity theorem states that, if T is a linear transformation from a finite-dimensional vector space V to a finite-dimensional vector space W , then dim(V ) = rank(T ) + nullity(T ), where rank(T ) = dim(im(T )) and nullity(T ) = dim(ker(T )). The proof treated here is standard; see, for example, [14]: take a basis A of ker(T ) and extend it to a basis B of V , and then show that dim(im...

Nullity of Measurement - induced