Sharpen Your Brain :)

Alright, a crappy riddle, but it’s the only one I have off the top of my head at the moment.

Prove that (sin x) / (6 n) = 1

Fucking problem dude.

(sinx)/6n = (six)(n)/(6)(n)=six/6=1
satisfy?

These aren’t riddles, these are math problems. :frowning:

Hmm, but in [1] the left side function is in fact Σ(i=1;i≤x) x, and the number of elements in the sum must be natural, because otherwise it makes no sense. For example, how would you interpret Σ(i=1;i≤3.4) 3.4 ? This would have to be Σ(i=1;i≤3) 3.4 + 0.4×3.4, and you don’t take into account this remainder in your equations. The left side should look something like this: Σ(i=1;i≤ ⌊x⌋) x + (x-⌊x⌋)×x. It is easy to show that the derivative would be ⌊x⌋ + (2x - ⌊x⌋) = 2x.

Ahhh… However…Thx for your description. :slight_smile:

There was a very, very tall coconut tree and there are 4 animals,

Lion

Chimpanzee

Giraffe

Squirrel

who pass by.

They decide to compete to see who is the fastest to get a banana off the tree.

Who do you guess will win?

Your answer will reflect your personality.

So think carefully . . … Try and answer within 30 seconds

Got your answer?

Now scroll down to see the analysis.

If your answer is:

Lion = you’re dull.

Chimpanz ee = you’re a moron.

Giraffe = you’re a complete idiot.

Squirrel = you’re just hopelessly stupid.

A COCONUT TREE DOESN’T HAVE BANANAS. HAHAHAHA!!!

Obviously you’re stressed and overworked.
You should take some time off and relax!
Try again this year.

I figured that out without scrolling down. :expressionless:

I just figured some guy was screwing around with bananas and animals.

Mary’s Mom have 5 children, Nana, Nene, Nini, Nono. Who is the fifth child?

Mary. Also, wrong verb tense noob.

He already apologized for bad English in the first post in this thread.

Other colors?

Well, sorry if the second version of the problem was harder to solve, but the other one was still available. Having a different views helps you think. I only solved the problem because I thought on the second version, and actually thought it was more intuitive and easier. My thinking is complex :wink:

What you said is true, but unnecessary.

If you use conclusions that follow from the hypothesis given, you don’t need to worry if your conclusions are right or wrong, only if they follow from the hypothesis or previous conclusions. Of course, if you know they are wrong, you can stop and say: this is and absurd and the hypothesis is false.

Note that [3] follow directly from [1]. I don’t know what you saw in [3] but, to me, it is not obvious that [3] is wrong, all I can see from it is that any real solution must be negative. To me, the easiest way to see [3] is wrong is concluding [1] from it, following those steps and noting that the solution x=1 does not satisfy the first equation.

It looks to me that you are worried that the steps should be reversible. That is, you used [3] (and [2]) to find out [4] so, if [4] have a solution then so should [3]. Note, however, that you used [3] to find out [4] and not the opposite, so if [3] has a solution, then [4] has the same solution, but not necessarily all solutions of [4] (or any solution at all) should also satisfy [3].
For example, from x²=1 you can conclude x³=x; however, zero satisfies the second equation, but not the first.

If it rains, your backyard gets wet, but the opposite is not true. Your housemaid could have washed it.

At no point did you say you knew it was already solved, did you forget how to write?.. Babe

Mary’s mom should be murdered for choosing such ugly names for her children. :meh:
By the way, that “riddle” doesn’t work well when it’s written :stuck_out_tongue:

Brian

an overall and a fistful of calculous snow

i feel as if having a sharpened brain will not benefit my neurological health in any way, shape, or form.

i prefer my blunt, dull tipped brain.

watch out for tiki

fuck tiki get money.

holla holla got a dolla?

Having a sharpened brain might prevent Alzheimer’s disease, or more generally increase mind’s resilience to neuropathological damages of the brain. I hear it can also prevent memory loss due to aging, but that might not be scientifically proven.

If you pay attention, it is noticeable that old people have slower thinking than younger ones. As far as I can tell, this difference is much less noticeable on old mathematicians or scientists in general. I’m yet to see an old mathematician that is as slow or have as little memory as the grandpas and grandmas in my family :slight_smile:

Well, if you say so. It would be unbearable to me to have a blunt brain. Probably as unbearable as it would be to you not to have muscles :slight_smile: and I don’t.

Punctuation is important.

I will soon enough, good friend. Thank you for your concern.

That’s how it goes. I like to try before I buy, it’s financially responsible.

Sorry for exceeding your expectations. Might have something to do with not typing like a caveman.

Who’s Tiki Get Money, and how’d he rub you wrong?

Founded in 2004, Leakfree.org became one of the first online communities dedicated to Valve’s Source engine development. It is more famously known for the formation of Black Mesa: Source under the 'Leakfree Modification Team' handle in September 2004.