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2016 AMC 10A Problems/Problem 10
size(6cm);

2 KB (337 words) - 14:56, 25 June 2023
2016 AMC 10A Problems/Problem 11
size(6cm); size(6cm);

8 KB (1,016 words) - 00:17, 31 December 2023
MATHCOUNTS
...w states don't need to host chapter competitions due to a small population size.

10 KB (1,497 words) - 11:42, 10 March 2024
California MathCounts
Due to the size and population of the state of [[California]], '''California MathCounts'''

644 bytes (87 words) - 02:05, 25 March 2015
Pigeonhole Principle
Consider the <math>n</math> intervals from <math>[0, 1)</math> of size <math>\frac{1}{n}</math>. We have <math>n+1</math> total <math>b_0, b_1, \l

11 KB (1,985 words) - 21:03, 5 August 2023
Geometric mean
size(150);

2 KB (282 words) - 22:04, 11 July 2008
Principle of Inclusion-Exclusion
...the [[union]] of a given group of [[set]]s, the size of each set, and the size of all possible [[intersection]]s among the sets. ...ze of their intersection, <math>|A_1\cap A_2|</math>. We wish to find the size of their union, <math>|A_1\cup A_2|</math>.

9 KB (1,703 words) - 07:25, 24 March 2024
Combination
...the number of combinations of size <math>r</math> from an original set of size <math>n</math>

4 KB (615 words) - 11:43, 21 May 2021
Fermat's Little Theorem
...al proof, this splits the non-main diagonal unit hypercubes into groups of size <math>p</math>, from which it follows that <math>a^p \equiv a \pmod{p}</mat ...a single orbit which we can denote as <math>\mathcal{O}</math> (since the size of the orbit is a factor of <math>p</math>). Hence, if <math>g\ne e</math>

16 KB (2,658 words) - 16:02, 8 May 2024
Parabola
size(300); size(300);

3 KB (551 words) - 16:22, 13 September 2023
Geometric inequality
size(400);

7 KB (1,296 words) - 14:22, 22 October 2023
Geometric probability
...l outcomes and the number of total outcomes. Instead, we have to find the size of each set. This is where we turn to '''geometric probability'''. We can

1 KB (175 words) - 23:50, 18 November 2023
Binomial Theorem
...math> is the number of ways to choose <math>m</math> objects from a set of size <math>n</math>, or <math>\binom{n}{m}</math>. Extending this to all possib

5 KB (935 words) - 13:11, 20 February 2024
Correspondence
...ly used in [[combinatorics]] in order to count the elements of a set whose size is unknown. Bijections are also very important in [[set theory]] when deal

2 KB (289 words) - 17:17, 13 February 2009
Bijection
...ly used in [[combinatorics]] in order to count the elements of a set whose size is unknown. Bijections are also very important in [[set theory]] when deal

1,016 bytes (141 words) - 03:39, 29 November 2021
Combinatorial identity
We can form a committee of size <math>k+1</math> from a group of <math>n+1</math> people in <math>{{n+1}\ch

12 KB (1,993 words) - 23:49, 19 April 2024
Integer
...gned <math>32</math>-bit integers). Integers in Python can be of arbitrary size, theoretically limited only by computer memory.

2 KB (296 words) - 15:04, 5 August 2022
Ellipse
size(200); size(200);

5 KB (892 words) - 21:52, 1 May 2021
Cardinality
...ts, the cardinality of is the number of [[element]]s in that set, i.e. the size of the set. The cardinality of <math>\{3, 4\}</math> is 2, the cardinality For [[infinite]] sets, cardinality also measures (in some sense) the "size" of the set, but an explicit formulation is more complicated: the cardinali

2 KB (263 words) - 00:54, 17 November 2019
Vector
size(150);

7 KB (1,265 words) - 13:22, 14 July 2021
Law of Cosines
size(100);

6 KB (1,003 words) - 09:11, 7 June 2023
Rational number
# Despite this, the set of rational numbers is [[countable]], i.e. the same size as the set of integers.

1 KB (207 words) - 15:51, 25 August 2022
Angle bisector
size(300);

3 KB (575 words) - 15:27, 19 March 2023
Area
...to the size of the region that a two-[[dimension]]al figure occupies. The size of a region in higher dimensions is referred to as [[volume]].

6 KB (1,181 words) - 22:37, 22 January 2023
Root-Mean Square-Arithmetic Mean-Geometric Mean-Harmonic mean Inequality
<asy>size(250);

5 KB (912 words) - 20:06, 14 March 2023
2002 IMO Shortlist Problems/C5
...r </math>, no two of which are disjoint. Prove that there exists a set of size <math> \displaystyle r-1 </math> that meets each set in <math> \displaystyl ...ll stop before <math> \displaystyle |A| = r </math>, for clearly no set of size <math> \displaystyle r </math> can be a subset of every set of <math> \disp

4 KB (681 words) - 20:10, 19 April 2007
Rectangle
size(200);

782 bytes (108 words) - 13:36, 6 March 2022
2006 AIME I Problems
size(6cm); size(8cm);

7 KB (1,173 words) - 03:31, 4 January 2023
2006 AIME I Problems/Problem 14
size(200); size(200);

6 KB (980 words) - 21:45, 31 March 2020
LaTeX:Symbols
the parentheses don't come out the right size: ==Multi-Size Symbols==

16 KB (2,324 words) - 16:50, 19 February 2024
2006 AIME I Problems/Problem 11
...ze <math>m</math>. Thus, there are 3 times as many towers using blocks of size <math>1, 2, \ldots, m, m + 1</math> as there are towers using only <math>1, ...th>: when <math>m = 1</math>, there are only 2 places to insert a block of size <math>m + 1 = 2</math>, at the beginning or at the end, rather than the 3 p

3 KB (436 words) - 05:40, 4 November 2022
2006 AIME I Problems/Problem 10
size(150);defaultpen(linewidth(0.7)); size(150);defaultpen(linewidth(0.7));

4 KB (731 words) - 17:59, 4 January 2022
2006 AIME I Problems/Problem 8
size(8cm); size(8cm);

5 KB (730 words) - 15:05, 15 January 2024
2006 AMC 12B Problems
size(5cm);

13 KB (2,058 words) - 12:36, 4 July 2023
2006 AMC 12A Problems
<asy>size(7cm); pointpen = black; pathpen = linewidth(0.7); size(150);

15 KB (2,223 words) - 13:43, 28 December 2020
2004 AMC 12A Problems
size(150); size(100);

13 KB (1,953 words) - 00:31, 26 January 2023
2002 AMC 12A Problems
...an eight-ounce cup and four ounces of cream into a second cup of the same size. She then pours half the coffee from the first cup to the second and, after size(200);

12 KB (1,792 words) - 13:06, 19 February 2020
2003 AMC 12B Problems
size(200); size(200);

13 KB (1,987 words) - 18:53, 10 December 2022
2004 AMC 12B Problems
size(120);

13 KB (2,049 words) - 13:03, 19 February 2020
2005 AMC 12B Problems
...>8</math>-foot by <math>10</math>-foot floor is tiled with square tiles of size <math>1</math> foot by <math>1</math> foot. Each tile has a pattern consis

12 KB (1,781 words) - 12:38, 14 July 2022
2006 AMC 12B Problems/Problem 10
If the second size has length x, then the first side has length 3x, and we have the third side

977 bytes (156 words) - 13:57, 19 January 2021
2006 AMC 12B Problems/Problem 21
size(7cm);

2 KB (339 words) - 13:15, 12 July 2015
2006 AMC 12B Problems/Problem 23
size(5cm); size(5cm);

7 KB (1,169 words) - 14:04, 10 June 2022
2006 AMC 12B Problems/Problem 24
size(5cm); size(5cm);

3 KB (563 words) - 22:45, 24 October 2021
2006 AMC 12A Problems/Problem 20
size(50);

5 KB (908 words) - 19:23, 22 September 2022
2006 AMC 12A Problems/Problem 25
...condition. No elements less than <math>s</math> can be put in a subset of size <math>s</math>, therefore the "lowest" element that can go into the subset

8 KB (1,405 words) - 11:52, 27 September 2022
2005 AMC 12A Problems/Problem 25
...y solutions as possible, until it becomes intuitive that there are no more size of triangles left. size(200);

4 KB (498 words) - 00:46, 4 August 2023
2005 AMC 12B Problems/Problem 5
...-foot by <math>10</math>-foot bathroom floor is tiled with square tiles of size <math>1</math> foot by <math>1</math> foot. Each tile has a pattern consis

2 KB (223 words) - 14:30, 15 December 2021
2005 AMC 12B Problems/Problem 25
size(30);

10 KB (1,840 words) - 21:35, 7 September 2023
2006 AMC 10A Problems
size(150); pathpen = linewidth(0.6); defaultpen(fontsize(10)); size(7cm); pathpen = linewidth(0.7);

13 KB (2,028 words) - 16:32, 22 March 2022

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