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• Infinity
  ...e a [[infinite]] number of digits because they never end. The first use of infinity was during Ancient Greek by Anaximander who referred to it as "apeiron". Th
  454 bytes (71 words) - 01:38, 6 July 2018

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• Inequality
  ...on]]. Closed bounds use square brackets, while open bounds (and bounds at infinity) use parentheses. For instance, <math>x \in [3,6)</math> means <math>3 \le
  12 KB (1,806 words) - 06:07, 19 June 2024
• Number theory/Advanced
  ...ion to consider the point infinitely far vertically upward as the point at infinity. We denote it by <math>\mathcal{O}</math>. ...effort showing that this defines a group, but it can be done. The point at infinity <math>\mathcal{O}</math> is the identity for this group, and an inverse is
  5 KB (849 words) - 16:14, 18 May 2021
• Harmonic series
  This sum slowly approaches infinity.
  2 KB (334 words) - 20:52, 13 March 2022
• Goldbach Conjecture
  Since this quantity goes to infinity as <math>n</math> increases, we expect that every large even integer has no
  7 KB (1,201 words) - 16:59, 19 February 2024
• Infinite
  ==Applications to Infinity with Sums== A sum works the same way. Certain sums equate to infinity, such as
  1 KB (186 words) - 23:19, 16 August 2013
• Talk:Limit
  ...Also, there is no mention in this article of infinite limits or limits to infinity, both of which are important. --[[User:JBL|JBL]] 14:41, 7 January 2008 (ES ...than I've just done. Second, we definitely need a section about limits to infinity. --[[User:JBL|JBL]] 14:50, 8 May 2008 (UTC)
  10 KB (1,699 words) - 14:07, 9 May 2008
• 1989 AIME Problems/Problem 10
  ...on equals <math>\tan^2 \alpha</math> as <math>\tan \beta</math> approaches infinity.
  8 KB (1,401 words) - 21:41, 20 January 2024
• Interval
  Use latex \infty for infinity symbol and use latex \cup for OR symbol.
  1 KB (219 words) - 19:34, 5 January 2024
• Talk:Zermelo-Fraenkel Axioms
  I believe the axiom of infinity is incorrect; shouldn't it be that for all <math>a \in A</math>, <math>a \c ...quivalent. There are in fact infinitely many possible different axioms of infinity, all of which are equivalent. The weakest and least specific of these infi
  724 bytes (124 words) - 19:50, 21 December 2007
• 2006 Romanian NMO Problems
  ...ht\rfloor \right)_{n \geq 0}</math> are an infinity of even numbers and an infinity of odd numbers.
  11 KB (1,779 words) - 14:57, 7 May 2012
• Talk:Incenter
  ...degenerate triangle. (We can also say that they intersect at the point of infinity, which is then the circumcenter of the triangle, which is true in the proje ...n of why I exists. (I probably would leave out the bit about the point at infinity, even though it's nice -- I think I'm making this complicated enough withou
  2 KB (338 words) - 20:48, 7 September 2006
• Euler line
  ...frac{y_B}{x_E}= \frac {y_F}{x_A}</math> then point <math>I</math> moves to infinity and lines are parallel, angles <math>\angle APD = 60^\circ</math> or <math>
  59 KB (10,203 words) - 04:47, 30 August 2023
• 2003 AMC 12A Problems/Problem 25
  ...ys has a vertex, and always extends until <math>+</math> or <math>-</math> infinity, depending on the <math>a</math> value. Quite conveniently, we have an <mat
  9 KB (1,606 words) - 11:34, 10 July 2020
• Asymptote (geometry)
  ...Since the denominator increases faster than the numerator, as x approaches infinity, y gets smaller until it approaches zero. A similar trend can be seen as x
  4 KB (664 words) - 11:44, 8 May 2020
• Help:Math
  '''\inf''' produces an infinity sign.
  4 KB (741 words) - 09:37, 20 July 2021
• 2007 AIME II Problems/Problem 14
  ...y large, and the limit of <math>g(x)</math> as <math>|x|</math> approaches infinity is 1, so <math>g(x)</math>=1 for all x, or <math>f(x)=f(-x)</math>. Then <
  7 KB (1,335 words) - 17:44, 25 January 2022
• 2004 IMO Shortlist Problems/G2
  Again, we use projective geometry. We send <math> \ell </math> to infinity, so that <math> \displaystyle \Gamma </math> becomes an ellpise with axis < .../math> are parallel, i.e., they pass through the same point on the line at infinity as <math> \displaystyle GA </math>, i.e., <math> \displaystyle F </math>.
  10 KB (1,539 words) - 23:37, 6 June 2007
• Zermelo-Fraenkel Axioms
  === The Axiom of Infinity ===
  4 KB (732 words) - 20:49, 13 October 2019
• User:Temperal/The Problem Solver's Resource Proofs
  ...vers are intimidated by a question that asks to prove anything relating to infinity. Hence, this seems like an excellent time to use contradiction, as we simpl
  6 KB (1,033 words) - 20:26, 10 January 2009
• Talk:Euclid's proof of the infinitude of primes
  Actually, people didn't understand "infinity" at the time, so he said something like "take 10 of them but there are stil
  364 bytes (52 words) - 11:59, 14 August 2022

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