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- * [//www.amazon.com/gp/product/B09PMLFHX2/ref=ox_sc_act_title_1?smid=ATVPDKIKX0DER&psc=1 Getting Started with Competition ...amazon.com/After-School-Maths-100-Challenging-Problems-ebook/dp/B07QFWSTDD/ref=sr_1_2?crid=CB0XAM4P81WI&keywords=after+school+maths+kawasaki&qid=15812886023 KB (3,038 words) - 18:33, 15 February 2025
- ...h>, <math>a_{2n+1} = f(n)^2</math>, where <math>f(n) = nx - (n-1)</math>.{{ref|1}}3 KB (547 words) - 10:41, 7 August 2024
- At this point, we introduce the crude estimate{{ref|1}} that <math>k=\frac{121-n}{n-1}</math>, so <math>R(n) = 0</math> and5 KB (851 words) - 17:01, 28 December 2022
- ...\text{gcd}\,(y,y+1) = 1</math>, it follows that <math>y(y+1)|x-y</math>. {{ref|1}}4 KB (646 words) - 11:20, 28 December 2024
- We may factor the equation as:{{ref|1}}7 KB (1,098 words) - 23:33, 20 January 2025
- ...coordinates, it suffices to let <math>D'</math> have integer coordinates.{{ref|1}}5 KB (810 words) - 14:55, 20 January 2025
- ...s a label, which we can refer to throughout the document using \label and \ref (or \eqref, using the amsmath package). See the following example: ...mmands. It is also considered good style to add ~ before commands such as \ref, \eqref, \cite; the ~ symbol represents an unbreakable space (so that you d8 KB (1,319 words) - 08:03, 5 August 2024
- * To reference that label, use <code>\ref{label name}</code>. For referencing equations, it is preferable to use the Here is an example with several uses of \label and \ref.29 KB (4,929 words) - 12:26, 12 September 2024
- ...ent areas, including cryptography, linear programming, and coding theory.{{ref|1}}1,022 bytes (126 words) - 11:53, 18 March 2022
- ...ing out some numbers, we find that <math>a(n,k) = 2^{n-1}(n+2k-2)</math>.{{ref|1}}3 KB (529 words) - 17:56, 1 February 2025
- ...zon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191/ref=pd_bxgy_b_text_b Problem-Solving Strategies] by Arthur Engel *[//www.amazon.com/103-Trigonometry-Problems-Training-Team/dp/0817643346/ref=pd_sim_b_1 103 Trigonometry Problems] by Titu Andreescu & Zuming Feng14 KB (2,062 words) - 10:59, 15 January 2025
- ...e first <math>n</math> positive integers is <math>{n+1 \choose 2}</math>.{{ref|1}}<br><br> ...^{n}}{1-r} = \frac{r}{(1-r)^2}</math>, also known as Gabriel's staircase.{{ref|2}}<br><br></center>55 KB (7,998 words) - 15:07, 16 September 2024
- Clearly <math>(\ref{eq:l2})</math> holds for <math>n\in\{5,3\}</math>. <math>\text{RHS of (\ref{eq:l2})}<\text{LHS of (\ref{eq:l2})}</math>.2 KB (438 words) - 09:38, 25 March 2023