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  • ...] and [[Richard M. Foote]]. This is a famous textbook, and is usually the go-to book for students wishing to learn about [[group]]s, [[ring]]s, [[field]
    23 KB (3,038 words) - 18:33, 15 February 2025
  • ...d is useful for those who have covered the basics of mechanics and want to go deeper. It also covers many other topics in physics and will carry forward
    10 KB (1,405 words) - 14:37, 13 January 2025
  • ...ad]], the national Olympiad of the United States. There, many high scorers go to the [[Math Olympiad Summer Program]], which is divided into three "color
    5 KB (696 words) - 02:47, 24 December 2019
  • ...ugh 10) are invited to be ARML "students in training". They may or may not go to ARML, but often serve as alternates (in the event that other students ca Usually at least one student in training is invited to go to ARML. This is to prevent a last-minute no-show (due to illness or emerge
    22 KB (3,532 words) - 10:25, 27 September 2024
  • Finally, we can go back to the equation
    3 KB (571 words) - 23:42, 21 October 2021
  • From 2010 to 2011, Alabama ARML was accepted any student who wanted to go.
    2 KB (258 words) - 23:50, 27 December 2021
  • ...e are multiple ways one might proceed with the construction. If we were to go like before and break the problem down by each box, we'd get a fairly messy ...choosing the <math>A</math>s; the only place the three <math>B</math>s can go is in the three empty boxes, so we don't have to account for them after cho
    13 KB (2,018 words) - 14:31, 10 January 2025
  • The reason to go to such lengths is that our above polynomial is equal to <math>(1+x)^n</mat
    4 KB (659 words) - 11:54, 7 March 2022
  • ...bars sit next to each other. Thus, we have 13 "slots" where the bars could go (eleven between the stars, two at the endpoints), where only one bar can fi
    8 KB (1,192 words) - 16:20, 16 June 2023
  • ...<math>{t}</math> is <math>t^3</math> m/s. Exactly how far does the object go between times <math>t=2</math> sec and <math>t=5</math> sec? Interpret thi
    11 KB (2,082 words) - 14:23, 2 January 2022
  • ...a negative sign to a number (say 4, for example), we are basically saying go four units in the ''opposite'' direction. We want to do the opposite of mul
    5 KB (803 words) - 15:25, 10 August 2020
  • (the table doesn't work; if you desire, please to go [https://artofproblemsolving.com/texer/zzyacvnp https://artofproblemsolving ...sitive integers <math>k</math>; thus, <math>S_{1935}=0</math>. We can then go through our algorithm, and it turns out that <math>S_{2006}=\boxed{027}</ma
    8 KB (1,334 words) - 16:37, 15 December 2024
  • On the actual AIME, go with whatever patterns you see, because most likely those are the patterns
    10 KB (1,702 words) - 21:23, 25 July 2024
  • ...ly larger on one side; this can be proven by counting full circles. We can go on with the same mindset and eliminate the circle below circle A and the ci
    4 KB (731 words) - 16:59, 4 January 2022
  • Mr. Earl E. Bird gets up every day at 8:00 AM to go to work. If he drives at an average speed of 40 miles per hour, he will be
    12 KB (1,792 words) - 12:06, 19 February 2020
  • ...he smallest integer, we can suppose that the answer is <math>30</math> and go on from there. Note that three goats minus two pigs gives us <math>630 - 60
    3 KB (442 words) - 02:13, 8 August 2022
  • The bug then has only <math>1</math> way to go to a point <math>E</math> on the opposite face, therefore having a <math>\f ...rom the starting vertex, and 2 choices for the bug's second move (it can't go back to the previous vertices). Then, notice that the bug has 3 choices of
    6 KB (1,083 words) - 13:05, 25 November 2024
  • ...nt of <math>y</math> is <math>3</math>, the exponent of <math>z</math> can go up to <math>2002</math>, so there are <math>1002</math> terms.
    8 KB (1,332 words) - 16:37, 17 September 2023
  • ...into the subset is <math>s</math>, whereas the "highest" element that can go into the subset is <math>15</math>. This is a total of <math>15-s+1</math>
    9 KB (1,409 words) - 02:59, 8 December 2024
  • ...has <math>2</math> ways back up, or it can travel along the sides and then go to the bottom, of which simple counting gives us <math>6</math> ways back u ...o <math>D</math> and the remaining ant from <math>C/D</math> can choose to go to <math>E</math> or <math>F</math> and then the remaining ant from <math>A
    10 KB (1,840 words) - 14:01, 4 July 2024

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