Todd and I, after some discussion, have decided to start a new series of posts called “**Problem of the Week**“. Since the title is self-explanatory, there is nothing much to write about, except that this series will be a permanent fixture on our blog. Each week we will post a problem (unless both of us are too busy), and we invite solutions from all our readers, regular or not; in most cases solutions should be submitted through email within a week after the post. To keep things fair, we ask readers **not** to submit solutions in the comment section of a post. At the end of the allotted time, we will then select the most elegant solution (or anyway, one that we like) to a given problem, and post it together with the name of the proposer. (Note: solutions may be edited, or composed from solutions of more than one proposer.) Other people who submit correct solutions will also be acknowledged. In addition, credit will be given to all such people by having their names enshrined in the *Problem-Solving Hall of Fame* page, forever! Who could ask for anything more?!

Most of our problems will be “elementary”, meaning they won’t require knowledge of advanced areas of mathematics; generally they will require some knowledge of subjects such as elementary number theory, college-level calculus, basic algebra, trigonometry, inequalities, etc., and some “mathematical maturity”.

Please submit solutions to **topological[dot]musings[At]gmail.com** (remove the characters within the square brackets and replace them with the appropriate ones). You may send in your solutions in pdf, LaTeX or text format. (Though we prefer LaTeX and/or pdf submissions, we ask you not to worry too much about the format.) [Added May 15: in case of multi-part problems, please submit all the parts you intend to solve in one mailing. Credit will be awarded for each part correctly solved.]

I guess that’s it! Keep checking the blog for the next POW problem!

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May 14, 2008 at 3:53 pm

Problem of the Week (POW-2) « Todd and Vishal’s blog[…] officially kick things off with a new problem, this time under the ground rules discussed in our last post. This one comes from our regular reader John Smith, who wrote me this problem in email. It comes in […]

May 29, 2008 at 12:29 am

POW-3: Summing reciprocals of binomial coefficients « Todd and Vishal’s blog[…] 29, 2008 in Problem Corner, Problem of the Week (POW) by Todd Trimble Okay, time for another Problem of the Week! This little cutie is something I discovered by accident, while doodling around with iterated […]

June 5, 2008 at 9:52 pm

POW-4: A curious identity involving self-powers « Todd and Vishal’s blog[…] displayed by some of our readers, I’d like to see what sort of response we get to this Problem of the Week: Establish the following identity: for all natural numbers […]

June 19, 2008 at 8:41 pm

POW-5: A “hard” integral! « Todd and Vishal’s blog[…] Problem of the Week (POW) by Vishal Lama Tags: hard integral Time for our next problem in the POW series! Earlier, Todd and I deliberated for a bit on whether we should pose a “hard” Ramanujan […]

July 3, 2008 at 1:41 pm

POW-7: Midpoints between points on a curve « Todd and Vishal’s blog[…] Problem Corner, Problem of the Week (POW), Puzzles by Todd Trimble Okay, folks, time for another Problem of the Week! I hope it generates more response than last week’s problem: Let be a simple closed curve in […]

July 24, 2008 at 2:06 am

POW-8: Ups at bat « Todd and Vishal’s blog[…] 24, 2008 in Problem of the Week (POW), Puzzles by Todd Trimble Time for another Problem of the Week! This one is rather elementary, but is connected with a pet topic of mine which I plan to write a […]

August 23, 2008 at 1:25 am

POW-9: Period of a decimal expansion « Todd and Vishal’s blog[…] any case, it’s high time for another Problem of the Week! This one is undoubtedly classical in nature, but may require a famously nontrivial result to […]

September 28, 2008 at 5:22 pm

Almost a problem of the week « Todd and Vishal’s blog[…] will be for at least another few weeks. In the meantime, I’d been idly thinking of another Problem of the Week to post, and while I was thinking of one such problem… I got stuck. So instead of just baldly […]

October 4, 2008 at 1:58 pm

POW 10: Another hard integral? « Todd and Vishal’s blog[…] 4, 2008 in Elementary Math Problem Solving, Problem of the Week (POW) | by Todd Trimble Another problem of the week has been long overdue. Here’s one that may appeal to those who liked POW-5 (maybe we should […]

October 26, 2008 at 12:32 pm

POW-11: Preserving sums of squares « Todd and Vishal’s blog[…] in Elementary Math Problem Solving, Problem of the Week (POW) | by Todd Trimble Time for another problem of the week! This one doesn’t necessarily require any number-theoretic knowledge, although a little bit […]

February 9, 2010 at 7:27 pm

Mister CoxAh, thanks! This settled up some contradictions I’ve heard.