{"id":8605,"date":"2019-05-22T16:09:31","date_gmt":"2019-05-22T16:09:31","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/numbers\/"},"modified":"2019-05-22T16:09:31","modified_gmt":"2019-05-22T16:09:31","slug":"numbers","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/numbers\/","title":{"rendered":"Numbers"},"content":{"rendered":"<p>Numbers are used to classify, count and in the service of measurement. &nbsp;The most familiar are natural numbers: those that enable counting (cardinal numbers) and ordering (ordinal numbers). &nbsp;Examples of other types of numbers are the following:&nbsp;<\/p>\n<p>* Complex numbers: in algebra, solutions to equations that cannot be resolved by real numbers<\/p>\n<p>* Dimensionless numbers: those with no physical dimension or units (e.g.,&nbsp;\u03c0 is a dimensionless number as well as an irrational number also referred to as &#8216;pure numbers&#8217;). &nbsp;More precisely, they are numbers with the dimensions of 1. &nbsp;An important feature of such numbers is that they do not typically change if systems of measurements are altered (e.g., in changing from imperial to metric units). &nbsp;A specific example from fluid mechanics, but applicable to other dynamical systems, is a&nbsp;<a href=\"http:\/\/www.encyclopedia.com\/science\/dictionaries-thesauruses-pictures-and-press-releases\/rayleigh-number\" style=\"font-size: 13px;\" data-editable-link=\"http:\/\/www.encyclopedia.com\/science\/dictionaries-thesauruses-pictures-and-press-releases\/rayleigh-number?target=_self\" target=\"_self\" rel=\"noopener noreferrer\">Rayleigh number<\/a><\/p>\n<p>* Imaginary numbers: product of a real number and square root of -1. &nbsp;Zero is both an imaginary and real number<\/p>\n<p>* Integer: whole number, not a fraction, that is both positive and negative&nbsp;<\/p>\n<p>* Irrational numbers: those that cannot be written as fractions (e.g.,&nbsp;\u03c0,&nbsp;\u221a2). &nbsp;Attempting to write such numbers as decimals results in an endless number without recurring digits<\/p>\n<p>&nbsp;* Prime numbers: a number only divisible by itself or 1 (e.g., 2, 3, 6, 7, 11 &#8230; Note that 2 is the only even prime number<\/p>\n<p>* Rational numbers: those that can be written as a fraction in which the nominator and denominator are both integers (e.g., 1\/3)<\/p>\n<p>* Real numbers: those that can assume both positive and negative values with decimal places after the point (e.g., 2.55). &nbsp;Thus, they are the opposite of imaginary numbers<\/p>\n<p>See <a href=\"dynamical_system\">Dynamical system<\/a>, <a href=\"number_mathematics\">Number mathematics<\/a><\/p>\n<p><\/p>\n<p><\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Numbers are used to classify, count and in the service of measurement. &nbsp;The most familiar are natural numbers: those that enable counting (cardinal numbers) and ordering (ordinal numbers). &nbsp;Examples of other types of numbers are the following:&nbsp; * Complex numbers: in algebra, solutions to equations that cannot be resolved by real numbers * Dimensionless numbers: &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/numbers\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Numbers&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2],"class_list":["post-8605","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-glossary","entry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8605","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/comments?post=8605"}],"version-history":[{"count":0,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8605\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/media?parent=8605"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/categories?post=8605"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/tags?post=8605"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}