Create the page "Size" on this wiki! See also the search results found.

• 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
• 2006 AMC 10A Problems/Problem 12
  size(150); pathpen = linewidth(0.6); defaultpen(fontsize(10)); size(150); pathpen = linewidth(0.7); defaultpen(linewidth(0.7)+fontsize(10));
  3 KB (424 words) - 10:14, 17 December 2021
• 2006 AMC 12A Problems/Problem 12
  size(7cm); pathpen = linewidth(0.7);
  2 KB (292 words) - 11:56, 17 December 2021
• 2006 AMC 10A Problems/Problem 16
  size(200); pathpen = linewidth(0.7); pointpen = black; size(200); pathpen = linewidth(0.7); pointpen = black; pointfontpen = fontsize(1
  5 KB (732 words) - 23:19, 19 September 2023
• 2006 AMC 10A Problems/Problem 17
  size(7cm); pathpen = linewidth(0.7); pointpen = black; pointfontpen = fontsize(1 size(7cm); pathpen = linewidth(0.7); pointpen = black; pointfontpen = fontsize(1
  6 KB (1,066 words) - 00:21, 2 February 2023
• 2006 AMC 10A Problems/Problem 24
  size(400);
  2 KB (292 words) - 10:19, 19 December 2021
• Set
  ...[[finite]] set of size <math>n</math> then <math>\mathcal{P}(A)</math> has size <math>2^n</math>. ...y]] of a set <math>A</math>, denoted <math>|A|</math>, is (informally) the size of the set. For a finite set, the cardinality is simply the number of elem
  11 KB (2,021 words) - 00:00, 17 July 2011
• Newman's Tauberian Theorem
  size(200);
  6 KB (1,034 words) - 07:55, 12 August 2019
• 2006 USAMO Problems
  ...ive integers that has sum greater than <math>N </math> but every subset of size <math>k</math> has sum at most <math>N/2</math>.
  3 KB (520 words) - 09:24, 14 May 2021
• 1991 AJHSME Problems
  ...ath>3</math> cm is cut into <math>N</math> smaller cubes, not all the same size. If the edge of each of the smaller cubes is a whole number of centimeters
  17 KB (2,246 words) - 13:37, 19 February 2020
• 2005 AIME II Problems/Problem 8
  size(200);
  4 KB (693 words) - 13:03, 28 December 2021
• 2005 AIME II Problems/Problem 12
  size(200); size(200);
  13 KB (2,080 words) - 21:20, 11 December 2022
• 2005 AIME I Problems/Problem 10
  size(170);
  5 KB (852 words) - 21:23, 4 October 2023
• 2005 AIME I Problems/Problem 11
  ...ce it is tangent to two adjacent sides of the square, we will maximize its size when it touches both other sides of the square. This can happen only when
  4 KB (707 words) - 11:11, 16 September 2021
• 2005 AIME I Problems/Problem 13
  defaultpen(fontsize(8)+0.8+heavyblue); size(250);
  5 KB (897 words) - 00:21, 29 July 2022
• 2005 AIME I Problems/Problem 15
  size(300); pointpen=black;pathpen=black+linewidth(0.65); pen s = fontsize(10);
  5 KB (906 words) - 23:15, 6 January 2024
• 2005 AIME II Problems/Problem 15
  size(220); pointpen = black; pen d = linewidth(0.7); pathpen = d; size(220);
  12 KB (2,000 words) - 13:17, 28 December 2020
• 2005 AIME II Problems/Problem 14
  import olympiad; import cse5; import geometry; size(150); import olympiad; import cse5; import geometry; size(300);
  13 KB (2,129 words) - 18:56, 1 January 2024
• 2004 AIME I Problems/Problem 14
  currentprojection = perspective(-2,-50,15); size(200);
  4 KB (729 words) - 01:00, 27 November 2022
• 2004 AIME I Problems/Problem 4
  size(100); size(100);
  3 KB (532 words) - 09:22, 11 July 2023
• 2004 AIME I Problems/Problem 7
  ...,4,-5,6,-7,8,-9,10,-11,12,-13,14,-15]</math>. Denote by <math>S</math> all size 2 subsets of this set. Replace each element of <math>S</math> by the produc
  5 KB (833 words) - 19:43, 1 October 2023
• 2004 AIME II Problems/Problem 7
  size(200);
  9 KB (1,501 words) - 05:34, 30 October 2023
• 2004 AIME II Problems
  size(200);
  9 KB (1,410 words) - 05:05, 20 February 2019
• 1983 AIME Problems
  size(150); size(170);
  7 KB (1,104 words) - 12:53, 6 July 2022
• 1984 AIME Problems
  size(200);
  6 KB (933 words) - 01:15, 19 June 2022
• 2002 AIME I Problems
  size(250);real x=sqrt(3); size(250);
  8 KB (1,374 words) - 21:09, 27 July 2023
• 1983 AIME Problems/Problem 4
  size(150); size(150); defaultpen(linewidth(0.6)+fontsize(11));
  11 KB (1,741 words) - 22:40, 23 November 2023
• 1983 AIME Problems/Problem 11
  size(180); size(180);
  5 KB (865 words) - 21:11, 6 February 2023
• 1983 AIME Problems/Problem 14
  <asy>size(160); defaultpen(linewidth(.8pt)+fontsize(11pt)); dotfactor=3; pair O1=(0,0 size(0,5cm);
  13 KB (2,149 words) - 18:44, 5 February 2024
• 1983 AIME Problems/Problem 15
  <asy>size(100); size(170);
  19 KB (3,221 words) - 01:05, 7 February 2023
• 1984 AIME Problems/Problem 3
  size(200);
  4 KB (726 words) - 13:39, 13 August 2023
• 1985 AIME Problems/Problem 11
  size(200);
  5 KB (932 words) - 17:00, 1 September 2020
• 1985 AIME Problems/Problem 9
  size(200); size(200);
  5 KB (763 words) - 16:20, 28 September 2019
• 1986 AIME Problems/Problem 15
  size(170); size(150);
  11 KB (1,722 words) - 09:49, 13 September 2023
• 1986 AIME Problems/Problem 9
  size(200); size(200);
  11 KB (1,850 words) - 18:07, 11 October 2023
• 1987 AIME Problems/Problem 15
  size(200); size(200);
  5 KB (838 words) - 18:05, 19 February 2022
• 1989 AIME Problems/Problem 15
  size(170); size(170);
  13 KB (2,091 words) - 00:20, 26 October 2023
• 1989 AIME Problems/Problem 12
  defaultpen(fontsize(10)+0.8); size(175);
  2 KB (376 words) - 13:49, 1 August 2022
• 1989 AIME Problems/Problem 10
  size(170); size(170);
  8 KB (1,401 words) - 21:41, 20 January 2024
• 1989 AIME Problems/Problem 8
  size(20cm); size(10cm);
  8 KB (1,146 words) - 04:15, 20 November 2023
• 1989 AIME Problems/Problem 6
  size(300); draw((0,0)--(100,0)--(80,139)--cycle);
  5 KB (864 words) - 19:55, 2 July 2023
• 1990 AIME Problems/Problem 14
  size(280);
  7 KB (1,086 words) - 08:16, 29 July 2023
• 2006 AMC 10B Problems/Problem 6
  size(90); defaultpen(linewidth(0.7));
  1 KB (181 words) - 13:45, 26 January 2022
• 2006 AMC 10B Problems/Problem 8
  defaultpen(linewidth(0.8)); size(100);
  1 KB (176 words) - 13:49, 26 January 2022
• 2006 AMC 10B Problems/Problem 15
  <asy> defaultpen(linewidth(0.7)+fontsize(10)); size(120);
  3 KB (445 words) - 22:01, 20 August 2022
• 1991 AIME Problems/Problem 2
  real r = 0.35; size(220);
  4 KB (595 words) - 12:51, 17 June 2021
• 1992 AIME Problems/Problem 2
  ...ve n people and you want to know how many ways you can make a group of any size you could do this <math>2</math> ways. You could count everyone is binary i
  2 KB (336 words) - 05:18, 4 November 2022
• 2006 AMC 10B Problems/Problem 24
  <asy>size(200);defaultpen(linewidth(0.8));
  4 KB (558 words) - 14:38, 6 April 2024
• 1993 AIME Problems/Problem 13
  size(8cm); defaultpen(linewidth(0.7)); size(8cm); defaultpen(linewidth(0.7));
  8 KB (1,231 words) - 20:06, 26 November 2023
• 1994 AIME Problems/Problem 15
  pathpen = linewidth(1); size(250); pen dots = linetype("2 3") + linewidth(0.7), dashes = linetype("8 6")
  4 KB (717 words) - 22:20, 3 June 2021
• 1994 AIME Problems/Problem 14
  pathpen = linewidth(0.7); size(250);
  2 KB (303 words) - 00:03, 28 December 2017

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