Math Expression

Friday mind stretch!

Apologies for not posting anything in this category for FOUR months (my mind was simply stretched in other directions! 🙂

First, the answer I owe you for the last challenge, the Quickest Descent: the cycloidal path is the quickest descent as the ball reaches a high speed earlier and uses it to race ahead of the other balls on the shorter paths.

Now, the next challenge is to reduce a mathematical expression to its simplest form. I took it from a book filled with such exercises, a book well-known to Romanians growing up in 20th century Romania. The exercises were made by Grigore Gheba, one of the great mathematical minds in a long line of Romanian professors. The book belonged to my grandfather, himself a fantastic math teacher who taught many students, myself included.

This expression is one of the easy ones and it has a neat answer. Check it out next week! Here’s the exercise:

Happy Friday mind stretch!

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Mind games 1

Friday morning. (Actually, today is Saturday, had lots to do yesterday – but I thought of this as a daily series, so I’m catching up with it).

Nearly end of the week, good time for some evaluation, some logic in the picture. I thought we could exercise the mind a bit on Fridays, so I’ll post mind games. O.M.G. Math! Is she kidding? Nope. Math is a lot of fun, literally. How can you NOT be in love with your brain and give it some thought? Pun intended.

So I’ll be posting all sorts of games and stuff that I’ve been collecting over the years: you give it a try, solve them, comment on them, and I shall post the answer to the prob.ems and riddles next Friday. Ready? Here’s the one for this week:

(Source: Ivan Moscovich – The Little Book of Big Brain Games)