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  • ...IKX0DER&psc=1 Getting Started with Competition Math], a textbook meant for true beginners (on-target middle school students, or advanced elementary school
    24 KB (3,202 words) - 14:33, 13 January 2025
  • ...IKX0DER&psc=1 Getting Started with Competition Math], a textbook meant for true beginners (on-target middle school students, or advanced elementary school
    7 KB (902 words) - 14:34, 13 January 2025
  • ..., which is a name given to statements in mathematics which are given to be true. Mathematicians then use various methods of formal [[proof]] to extend the
    6 KB (866 words) - 06:57, 17 January 2025
  • A inequality that is true for all real numbers or for all positive numbers (or even for all complex n
    12 KB (1,806 words) - 05:07, 19 June 2024
  • ...n(x)</math> is concave, by [[Jensen's Inequality]], the last inequality is true, proving <math>M(t)\ge M(0)</math>. By replacing <math>t</math> by <math>-t
    3 KB (619 words) - 12:57, 23 August 2024
  • ...of the polynomial on different inputs. In some cases, the reverse is also true. The most obvious example is also the simplest: for any polynomial <math>P
    6 KB (1,100 words) - 14:57, 30 August 2024
  • ...n leads to an error, logically or mathematically. Thus, the proposition is true. Famous results which utilized proof by contradiction include the irrationa
    2 KB (374 words) - 13:01, 21 August 2022
  • ...redit it as "easy" because they "already know how to count." While this is true in the sense that people know how to count lists of numbers, enumeration pr
    1 KB (209 words) - 17:13, 27 December 2024
  • If this is true for <math>k,</math> we prove this is true for <math>k+1.</math> For every set of sets not containing <math>A_{k+1}</m
    9 KB (1,703 words) - 00:20, 7 December 2024
  • ...tant is the smallest element in that set. If the [[Riemann Hypothesis]] is true, Mill's constant is approximately <math>1.3063778838630806904686144926...</
    794 bytes (105 words) - 00:59, 15 January 2022
  • ...gers n and r where n is greater than or equal to r. Another reason this is true is because that choosing what you don't want is the same as choosing what y
    4 KB (638 words) - 20:55, 5 January 2025
  • ...b_n)</math> where <math>(b_i>0, i\in \{1,2,..,n\})</math> the following is true: <cmath> \frac{a_1^{2}}{b_1}+\frac{a_2^{2}}{b_2}+\ldots+\frac{a_n^{2}}{b_n}
    13 KB (2,048 words) - 14:28, 22 February 2024
  • The converse of Menelaus' theorem is also true. If <math>\frac{BP}{PC} \cdot \frac{CQ}{QA} \cdot \frac{AR}{RB} = 1</math>
    5 KB (804 words) - 02:01, 12 June 2023
  • ...bviously true. Suppose the statement <math>a^p \equiv a \pmod{p}</math> is true. Then, by the [[binomial theorem]], *Is it true that if <math>p</math> is a prime number, and <math>k</math> is an integer
    16 KB (2,660 words) - 22:42, 28 August 2024
  • ...h>. Since this is always true for <math>0<B<180</math>, this inequality is true. Therefore, the maximum value of this expression is when <math>A=B=C=60</ma
    7 KB (1,300 words) - 00:11, 28 October 2024
  • ...ribed in a [[circle]]. While all [[triangles]] are cyclic, the same is not true of quadrilaterals. They have a number of interesting properties. ...isector|perpendicular bisectors]] are [[concurrent]]. The converse is also true. This intersection is the [[circumcenter]] of the quadrilateral.
    1 KB (179 words) - 18:41, 3 January 2025
  • so this is true for all <math>x_i</math>. Then we have
    3 KB (628 words) - 05:29, 28 November 2024
  • ...wer exists, casework may be considered [[brute force]]. This is especially true if that alternative solution uses [[complementary counting]].
    5 KB (709 words) - 16:40, 24 September 2024
  • ...then it has the [[Intermediate Value Theorem]]. The converse is not always true.
    10 KB (1,761 words) - 02:16, 12 May 2023
  • ...side and right hand side are the same, thus Vandermonde's identity must be true.
    12 KB (1,993 words) - 21:22, 15 January 2025

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