Definition of
Null
Null is an adjective that refers to something lacking force either worth to take effect. The null can be contrary to the law or lack the requirements linked to mode or substance.
For example: “The judge declared the measure announced by the governor null and void, considering that it violates the Constitution”, “The effort you make in training is nil, and therefore you won’t play the next game”, “The risks associated with this heater are null, since it works with infrared energy that does not pollute or consume oxygen”.
In everyday language, null -from Latin nullus– is associated with nothing oh none. Yes one person He says that his knowledge of chemistry is null, he is referring to the fact that he does not have any type of capacity related to said matter. In a similar sense, someone who claims to have zero interest in literature is a subject who is not interested in anything related to books and letters.
- Concept of null in law, politics and computing
- The term in linear algebra
- Properties of Null Vectors
- Related Topics Tree
Concept of null in law, politics and computing
For the right, the nullity It is a situation that invalidates a legal act. This means that, before being declared void, the act or rule was effective. A void marriage is one whose nullity is declared due to the existence of an essential defect or vice in its celebration (if one of the parties has been forced to contract it by force or if it hides a disease from the other, for example).
In the field of policya invalid vote it is a wrongly performed suffrage, either accidentally or intentionally. The inclusion of an unofficial ballot or ballot, of more than one ballot or of foreign objects are grounds for nullity of the vote.
Computer programming uses the English version of the term null (null) to indicate that a variable or object has not been defined or initialized. Depending on the language and the compiler or interpreter, it is possible to prevent this from happening, through automatic initialization, but this is not a recommended practice.
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The term in linear algebra
For linear algebra, which is the branch of mathematics that deals with systems of linear equations, matrices, and vectors, as well as concepts such as linear transformations and vector spaces, the null vector is the one whose module is null (it is worth mentioning that also known as zero vector).
In Euclidean spaces (geometric spaces in which Euclid’s Axioms can be satisfied), all the components of a null vector are precisely zero. In other words, if a Euclidean space of n dimensions is taken, the vector will have all of its components (whose number will be equal to n) with null values and must be represented graphically as a point, since it will have no dimensions.
Null vectors have zero extension and, with respect to their direction, it is just as correct to say that they do not have or that they have all of them simultaneously, since null vectors are said to be orthogonal (sometimes understood as perpendicular) to anyone else in its space.
See also: Euclidean geometry
Properties of Null Vectors
Let’s look at some of the properties of null vectors in linear algebra:
- Null vectors are the neutral elements of their vector space for internal addition operations, since when added to any other vector in the same space, the result is always said vector.
- Null vectors result from the dot product (a binary operation that involves two vectors of the same space and that returns a number) by the number 0 and are a special case of tensor zero.
- When performing a linear transformation f with a null vector, its preimage is known as the null space or kernel.
- If the only element of a vector subspace is a zero vector, it is called a zero space.
Continue on: Concurrent Vectors