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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 school24 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 school7 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 the6 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 n12 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>-t3 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>P6 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 irrationa2 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 pr1 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}</m9 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 y4 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 integer16 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</ma7 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 have3 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