New Regulation of Marriage Nullity Processes

Continuity and New Legal Aspects regarding the Nullity of Marriage

The New Romanian Civil code (Law no. 287 of 2009), that has entered into force on October 1, 2011, is an innovative, reforming code, both in respect of civil legal relations, as well as of legal relations of family law and of commercial law, aspects that are incorporated in its structure. With regard to the legal relations of family law, that naturally belong to the Civil code, the current regu...

Nullity of Measurement - induced

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...

On the nullity of graphs

The nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its spectrum. It is known that η(G) ≤ n − 2 if G is a simple graph on n vertices and G is not isomorphic to nK1. In this paper, we characterize the extremal graphs attaining the upper bound n− 2 and the second upper bound n− 3. The maximum nullity of simple graphs with n vertices and e edges, M(n, e), is al...

Rank Nullity Theorem of Linear Algebra

In this article we present a proof of the result known in Linear Algebra as the “rank nullity Theorem”, which states that, given any linear form f from a finite dimensional vector space V to a vector space W , then the dimension of V is equal to the dimension of the kernel of f (which is a subspace of V ) and the dimension of the range of f (which is a subspace of W ). The proof presented here ...