{"id":4487,"date":"2021-06-06T10:49:09","date_gmt":"2021-06-06T10:49:09","guid":{"rendered":"https:\/\/enorcerna.com\/wiki\/definition\/algebra\/"},"modified":"2021-06-06T10:49:09","modified_gmt":"2021-06-06T10:49:09","slug":"algebra","status":"publish","type":"post","link":"https:\/\/enorcerna.com\/wiki\/definition\/algebra\/","title":{"rendered":"algebra"},"content":{"rendered":"
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Algebra<\/strong> is the name that identifies a branch of Mathematics<\/strong> that uses numbers, letters<\/strong> Y signs<\/strong> to be able to refer to multiple arithmetic operations. The term has its origin in Latin algebra<\/em>, which, in turn, comes from an Arabic word that translates into Spanish as \"reduction\"<\/strong> or \"comparison\"<\/strong>.<\/p>\n

This etymological origin allowed that, in past times, it was known as algebra to art<\/strong> focused on reducing bones that were dislocated or broken. This meaning, however, has fallen into disuse.<\/p>\n

\"Calculator\"<\/p>\n

Algebra uses signs, letters, and numbers to enable arithmetic operations.<\/p>\n<\/div>\n

What is algebra<\/h2>\n

Today we understand as algebra the mathematical area that focuses on the relations<\/strong>, structures<\/strong> Y quantities<\/strong>. The discipline known as elementary algebra<\/strong>, in this framework, it is used to carry out arithmetic operations (addition, subtraction, multiplication, division) but which, unlike arithmetic, uses symbols (a, x, y) instead of using numbers<\/b>. This allows general laws to be formulated and reference to unknown numbers (unknowns<\/strong>), which enables the development of equations and the analysis corresponding to their resolution.<\/p>\n

Elementary algebra postulates different laws<\/b> that allow to know the different properties that arithmetic operations have. For example, addition (a + b) is commutative (a + b = b + a), associative, has an inverse operation (subtraction), and has a neutral element (0).<\/p>\n

Some of these properties are shared by different operations; the multiplication<\/b>, for example, it is also commutative and associative.<\/p>\n

It is known as Fundamental Theorem of Algebra<\/strong>, on the other hand, to a postulate according to which, in a non-constant variable where there are complex coefficients, a polynomial has as many roots as its degree marks, because the roots are taken into account with their multiplicities. This assumes that the body of the complex numbers<\/strong> is closed for algebra operations.<\/p>\n

\"Blackboard\"<\/p>\n

Algebra problems are part of math classes.<\/p>\n<\/div>\n

Boolean algebra<\/h2>\n

The systems<\/b> Control devices, such as connectors and relays, use many components that have two very different states: open (conducting) or closed (not conducting). These are called all or nothing components<\/b>, or logical<\/b>.<\/p>\n

These states are represented by the numbers 1 and 0, which facilitates the systematic study of the behavior of the logical components. In turn, a set of common laws and properties is applied that have no direct relationship with the type of element<\/b> in question (it does not matter if it is a door logic<\/b>, a relay or a transistor).<\/p>\n

According to all this, any component of type all or nothing<\/i> it can be represented by a logical variable, which means that it can have the value 1 or 0. Boolean algebra is called the group of laws and rules that are taken into account to operate with this type of variables; its name comes from the surname of the creator, a self-taught English mathematician whose first name was George and who lived in the 19th century.<\/p>\n

Boolean variables in programming<\/h2>\n

Also known as flags<\/i>, the variables<\/b> Booleanas (Spanish term and coming from \"boolean\", so its pronunciation is \"buleanas\") can receive one of two values; these are usually associated with true<\/i> Y fake<\/i>, and in many programming languages \u200b\u200bit is possible to use the numbers 1 and 0 or the words interchangeably.<\/p>\n

Its usefulness is very wide, since in programming<\/b> it all depends on the skill and creativity of each individual person and it is impossible to determine a single way to structure a code or to use a resource. Broadly speaking, a Boolean variable is used to record the performance of a certain task; For example, at the beginning of an application the graphics for the interface and the music are usually loaded, and a logical variable could be initialized to \"false\" to wait for this process to complete, and only then change to \"true\", so that the program does not try to repeat the steps and can move on.<\/p>\n<\/p><\/div>\n\n\n

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Algebra is the name that identifies a branch of Mathematics that uses…<\/p>\n","protected":false},"author":1,"featured_media":4488,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-4487","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-definition"],"_links":{"self":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/posts\/4487","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/comments?post=4487"}],"version-history":[{"count":0,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/posts\/4487\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/media\/4488"}],"wp:attachment":[{"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/media?parent=4487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/categories?post=4487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/enorcerna.com\/wiki\/wp-json\/wp\/v2\/tags?post=4487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}