, ∀x∈[0,1].
be a field. Find the Galois groups
and 
and there exists a positive integer 
such that 
.
be minimal polynomial 
over 
.
be a probability distribution on the set of nonnegative integers. Select a number according to this distribution and repeat the selection independently until either a zero or an already selected number is obtained. Write the selected numbers in a row in order of selection without the last one. Below this line, write the numbers again in increasing order. Let 
denote the event that the number 
has been selected and that it is in the same place in both lines. Prove that the events 
are mutually independent, and 
.
.
.
kg sky diver that jumps out of a plane with no initial velocity and an air resistance of 
.
satisfying ![\[|z -a | + |z + a| = 2|c|\]](http://latex.artofproblemsolving.com/4/b/d/4bdafe46f8d3ed1c8945a1553fc3bc0d23fe11e2.png)
if and only if 
If this condition is fulfilled, what are the smallest and largest values of 
w
Y by skronkmonster
Hello AoPS!
My name is James, and I am the editor of a math newsletter by and for kids titled "The Real Deal: A Complex Space for Kids to Discuss Math". I am looking for a few more writers willing to write an article about their favorite math problem for the coming, 6th edition of the newsletter (articles should be about 600-800 words). We have a growing readership (around 3K), and you can know that your writing will be shared with kids all over the world who also love math. If you're interested, please write me at therealdealmath@gmail.com. You can read previous issues of the newsletter at http://www.realdealmath.org.
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My name is James, and I am the editor of a math newsletter by and for kids titled "The Real Deal: A Complex Space for Kids to Discuss Math". I am looking for a few more writers willing to write an article about their favorite math problem for the coming, 6th edition of the newsletter (articles should be about 600-800 words). We have a growing readership (around 3K), and you can know that your writing will be shared with kids all over the world who also love math. If you're interested, please write me at therealdealmath@gmail.com. You can read previous issues of the newsletter at http://www.realdealmath.org.
Thank you!
