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- ...ategory such that for all objects <math>A</math> and <math>B</math> in the category, there exists a set <math>\text{Hom}(A,B)</math> whose [[element]]s are exa ...small category]]. This is because there is no (small) set containing all (small) sets, but for any two sets <math>A</math> and <math>B</math>, there ''does912 bytes (157 words) - 15:13, 19 November 2009
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- ...mpetitions. A few states don't need to host chapter competitions due to a small population size. [[Category:Mathematics competitions]]10 KB (1,504 words) - 13:10, 1 December 2024
- ...math>a_n</math>. This is convenient because it means we must check only a small number of cases to find all rational roots of many polynomials. It is also [[Category:Algebra]]6 KB (1,100 words) - 14:57, 30 August 2024
- ====Small blocks -- 101 and 1001==== [[Category:Divisibility Rules]]10 KB (1,572 words) - 21:11, 22 September 2024
- ...st register to a center several months prior to the testing date and pay a small participation fee. After the registration deadline students may still comp [[Category:Mathematics competitions]]6 KB (949 words) - 21:33, 17 November 2024
- ...This is a tedious method, so it is usually only used when the numbers are small. For example, suppose we wanted to find the LCM of two numbers, 4 and 6. We [[Category:Definition]]2 KB (383 words) - 09:49, 4 September 2022
- ...is to choose a polynomial <math>R(x,y)</math> that makes the integral very small. We put ===A small miracle===8 KB (1,469 words) - 20:11, 16 September 2022
- ...</math> is differentiable at <math>x</math>, and <math>\Delta x</math> is "small". Question: How much does <math>F</math> change when its input changes fro ...that (as above) <math>h(x) = f(g(x))</math>, and <math>\Delta x</math> is "small", and someone asks you how much <math>h</math> changes when its input chang12 KB (2,377 words) - 10:48, 22 July 2009
- ...x+\Delta x) - F(x)}{\Delta x}</math>. Assuming <math>\Delta x</math> is a small number, represent <math>F(x+\Delta x) - F(x)</math> geometrically in your p [[Category:Calculus]]11 KB (2,082 words) - 14:23, 2 January 2022
- ...to be largest only if, of the <math>3</math> [[factor]]s, two of them are small. If we want to make sure that this is correct, we could test with a smaller ...te all of the first <math>4</math> answer choices because they are way too small and get <math>\boxed{\text{(E) 671}}</math> as our final answer.2 KB (320 words) - 18:37, 30 November 2024
- ...een <math>x</math> and its rational approximation <math>\frac pq</math> as small as we wish. The problem is that, as we try to make <math>\frac pq</math> cl ...math> does not exceed <math>\frac 1n</math>, which can be made arbitrarily small if we take large enough <math>n</math>. On the other hand, if the fraction7 KB (1,290 words) - 11:18, 30 May 2019
- ...ated by rationals too well, one needs to find plenty of small, but not too small, linear combinations of <math>x</math> and <math>1</math> with not too lar It remains to choose a polynomial <math>P(x)</math> that makes the integral small.8 KB (1,431 words) - 12:48, 26 January 2008
- ...is no obvious way to approach this problem, we start by experimenting with small values of <math>n</math> to evaluate some <math>S_n</math>. [[Category:Intermediate Number Theory Problems]]10 KB (1,702 words) - 21:23, 25 July 2024
- ...number of trapezoids. Let one side length (not on a parallel line) of the small triangle be <math>x</math> and the area of it be <math>x^2</math>. Also, le [[Category:Intermediate Geometry Problems]]4 KB (709 words) - 00:31, 5 January 2025
- ...e diameter of the large circle will be the diagonal of the square plus two small radii. [[Category:Introductory Geometry Problems]]2 KB (364 words) - 03:54, 16 January 2023
- and some arbitrarily small <math>\delta > 0</math> We can make <math>\delta</math> arbitrarily small, so that the second term6 KB (1,034 words) - 06:55, 12 August 2019
- ...a_{m-1} = 3}</math>. Inspecting the value of <math>a_{k}a_{k+1}</math> for small values of <math>k</math>, we see that <math>a_{k}a_{k+1} = 37\cdot 72 - 3k< [[Category:Intermediate Algebra Problems]]3 KB (499 words) - 17:52, 21 November 2022
- ...re is tangent to the semicircle. Then the square's area is the area of the small square +2* the area of the trapezoids on the corners+ the area of an isocel [[Category:Intermediate Geometry Problems]]4 KB (707 words) - 10:11, 16 September 2021
- Let <math>x</math> denote the [[radius]] of the small cone. Let <math>A_c</math> and <math>A_f</math> denote the area of the pain .... Let <math>x</math> be the scale factor between the original cone and the small cone <math>C</math> in one dimension. Because the scale factor is uniform i5 KB (839 words) - 21:12, 16 December 2015
- ...erse, namely seeing that <math>n \equiv 1 \pmod{9}</math>, and noting that small values of <math>n</math> would not work. [[Category:Intermediate Number Theory Problems]]11 KB (1,857 words) - 11:57, 18 July 2024
- ...s 1 mod 9) There are seven 3 mod 6 powers of 2 from 1-39, so for our first category there are seven "good" combinations. ..., <math>2^n+2^m</math> is congruent to 0 mod 9. Since nine is a relatively small number, we can treat powers of two as remainders of nine, to find "good" co8 KB (1,283 words) - 18:19, 8 May 2024