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• Real Numbers:Irrational
  [[File:Square root of 2 triangle.svg|right|thumb|240px|The number <math> \sqrt{2} </math> is irrational.]] ...express the lengths of both of the two given segments as integer multiples of itself.
  14 KB (2,317 words) - 15:55, 21 October 2021
• A Topology Given By A Metric
  ...nfty)</math>, is a function which is called the ''metric'' which satisfies the requirement that for all <math>a,b,c\in X</math>: ...tate <math>(X,d)</math> when we talk of a metric space <math>X</math> with the metric <math>d</math>.
  36 KB (6,841 words) - 16:57, 13 November 2021
• Real Numbers (Rational vs. Irrational Numbers)
  ...es including the integers (<math>\mathbb{Z}</math>), which in turn include the natural numbers (<math>\mathbb{N}</math>)]] ...to as "'''the rationals'''", the '''field of rationals''' or the '''field of rational numbers''' is usually denoted by a boldface {{math|'''Q'''}} ; it
  29 KB (4,667 words) - 17:58, 11 December 2021
• Real Numbers:Intervals
  [[File:Interval0.png|thumb|400px|The addition ''x'' + ''a'' on the number line. All numbers greater than ''x'' and less than ''x'' + ''a'' fall within tha ...s, the set of positive real numbers, the empty set, and any singleton (set of one element).
  17 KB (2,805 words) - 14:58, 6 November 2021
• The Definition of the Limit of a Function
  ...is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. ...o ''p'' are taken to outputs that stay a fixed distance apart, then we say the limit ''does not exist''.
  28 KB (4,901 words) - 16:24, 12 January 2022
• Rings
  ...ns satisfying properties analogous to those of addition and multiplication of integers. Ring elements may be numbers such as integers or complex numbers, ...iplicative identity element. (Some authors use the term "ring" to refer to the more general structure that omits this last requirement.)
  71 KB (12,100 words) - 16:43, 19 December 2021

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