Difference between revisions of "User:Smarty101"
| Line 12: | Line 12: | ||
*Here is one of the hardest problems: Let <math>p(x)</math> be defined on <math>2 \le x \le 10</math> such that<cmath>p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}</cmath>where <math>y</math> is the greatest prime factor of <math>\lfloor x\rfloor.</math> Express the range of <math>p</math> in interval notation. | *Here is one of the hardest problems: Let <math>p(x)</math> be defined on <math>2 \le x \le 10</math> such that<cmath>p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}</cmath>where <math>y</math> is the greatest prime factor of <math>\lfloor x\rfloor.</math> Express the range of <math>p</math> in interval notation. | ||
| − | + | When you find the answer click [https://artofproblemsolving.com/wiki/index.php?title=User:Smarty101&action=edit here] and put the solution. | |
*Take the buddymeter [https://buddymeter.com/quiz.html?q=rcJkyb2 here] | *Take the buddymeter [https://buddymeter.com/quiz.html?q=rcJkyb2 here] | ||
Revision as of 13:52, 26 January 2021
- i'm a user on AoPS hi
- He plays surviv.io
- he is good at math
- As of 12/28/2020 7:36 PM his alcumus rating is 84.1
- i like pizza and lasagna
______________ 12/28/2020
His alcumus rating is now about 99.13
- He has remembered all of the answers to Piecewise-Defined Functions
- Here is one of the hardest problems: Let
be defined on 
such that![\[p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}\]](//latex.artofproblemsolving.com/d/b/8/db8a962259534784b579fa7c951325c128903aca.png)
where 
is the greatest prime factor of 
Express the range of 
in interval notation.
be defined on 
such that![\[p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}\]](http://latex.artofproblemsolving.com/d/b/8/db8a962259534784b579fa7c951325c128903aca.png)
where 
is the greatest prime factor of 
Express the range of 
in interval notation.When you find the answer click here and put the solution.
- Take the buddymeter here
