(August 14, 2016 at 7:46 am)Alex K Wrote: The area is not uniquely defined because of the quantum divergences of the underlying framework defining the areas. Depending on the renormalization group flow of the scale dependent correlation functions of the total area operator, it will be a number between 0 and infinity.

What quantum divergences are you referring to? 

Are you being serious with this, or is it only a joke?

(August 14, 2016 at 8:09 am)Excited Penguin Wrote:

(August 14, 2016 at 7:46 am)Alex K Wrote: The area is not uniquely defined because of the quantum divergences of the underlying framework defining the areas. Depending on the renormalization group flow of the scale dependent correlation functions of the total area operator, it will be a number between 0 and infinity.

What quantum divergences are you referring to? 

Are you (a) being serious with this, or (b) is it only a joke?

My bolding.

The quantum answer is b.

(August 14, 2016 at 8:12 am)Whateverist Wrote:

(August 14, 2016 at 8:09 am)Excited Penguin Wrote: What quantum divergences are you referring to? 

Are you (a) being serious with this, or (b) is it only a joke?

My bolding.

The answer is b.

That's too bad if that is the case. He gave a particularly intriguing answer, I was looking forward to him explaining it.

Wouldn't be surprised if he wove in lots of relevant facts but I'm pretty sure I nailed his intention.,

(August 14, 2016 at 7:41 am)Whateverist Wrote: Interestingly the area in red would be equal no matter where you draw the line so as to cut the rectangle in half through its center point.  It would obviously be so for a line dividing the rectangle in two 10 by 10 squares or a line parallel to the two long sides bisecting the rectangle into two rectangles with the same length but half its height.   But draw a line which goes through a point on the upper long side three units from the top left corner which connects to a point on the bottom long side three units from the bottom right corner, and the answer will still be the same.

This reminds me of a similar but harder middle school math problem.  Five people wish to share a cake equally so that each one gets an equal portion of both cake and frosting.  The cake has a square base and is a rectangular prism in shape.  It is frosted (uniformly) only on the top and four sides above the platter on which it sits.  Using only the minimum number of straight cuts made with a knife, explain how this can be done.  (I always found more students would be successful if I specified a convenient side length for the cake, but it isn't necessary.  A suggested side length is given below.)

---

Let the side length of of the square base be 10 inches.  Yeah, these guys are gluttons.

---

I'm going to move this to its own thread to share it out more widely.

(August 14, 2016 at 8:15 am)Whateverist Wrote:

(August 14, 2016 at 7:41 am)Whateverist Wrote: Interestingly the area in red would be equal no matter where you draw the line so as to cut the rectangle in half through its center point.  It would obviously be so for a line dividing the rectangle in two 10 by 10 squares or a line parallel to the two long sides bisecting the rectangle into two rectangles with the same length but half its height.   But draw a line which goes through a point on the upper long side three units from the top left corner which connects to a point on the bottom long side three units from the bottom right corner, and the answer will still be the same.

This reminds me of a similar but harder middle school math problem.  Five people wish to share a cake equally so that each one gets an equal portion of both cake and frosting.  The cake has a square base and is a rectangular prism in shape.  It is frosted (uniformly) only on the top and four sides above the platter on which it sits.  Using only the minimum number of straight cuts made with a knife, explain how this can be done.  (I always found more students would be successful if I specified a convenient side length for the cake, but it isn't necessary.  A suggested side length is given below.)

---

Let the side length of of the square base be 10 inches.  Yeah, these guys are gluttons.

---

I'm going to move this to its own thread to share it out more widely.

Yay. More math. Yay.


Did I say yay yet?

(August 14, 2016 at 6:17 am)pocaracas Wrote: Just saw this on youtube... after the first 10 seconds, I got it... then noticed that the video was 9 minutes long! O.o

All you brainiacs take it easy and let's see how others do it!

THE PROBLEM:

Find the total area of the red spots.




That's a normal rectangle, with two equal circles inside.
Looks odd, at first, but it's remarkably simple.

Just saw this, and haven't checked any solution yet. But without giving it a better thought for now, I'll go with area of triangle - area of full circle:

0.5*10*20 - 25*PI

(August 14, 2016 at 8:07 am)pocaracas Wrote:

(August 14, 2016 at 7:26 am)LadyForCamus Wrote: Math makes my skin cells throw up.

Don't be like that.

Don't be like that!

She's just being a cute hilarious sexy MILF!

I also think maths gives my asshole cancer of the earlobes... I know you find math fun but some of us don't.

(August 14, 2016 at 8:07 am)pocaracas Wrote:

(August 14, 2016 at 7:26 am)LadyForCamus Wrote: Math makes my skin cells throw up.

Don't be like that.
Math is fun.... and this is a simple geometry problem.

Many kids are feeling like you, simply because of this generalized social repulsion towards math... don't add to the problem, be part of the solution!
Try.... as with many other things, you will fail, at first... try again and again... eventually, it becomes second nature.
Pass that on to your kids and friends...

The only reason I feel that way is because I am TERRIBLE at it, lol. I struggled all throughout high school, had tutors, summer practice, staying after school for extra help, and re-taking of Regents exams (doing worse the second time around). I hate it because I could never "get" it, not because of any kind of 'social repulsion' or pop-culture reputation it has. I can't stand not being able to understand something. It hurts my ego! Either my brain is not wired to understand math, or I never had the right teacher. Probably the first one.

I literally, to this day, feel sick to my stomach remembering my struggles with math; the frustration and feeling of being totally lost taking exams, and the disappointment in myself when the poor grades rolled in. It was the only subject in school that I couldn't excel in no matter how hard I applied myself.

Believe me, I understand how important math is, and I will do everything in my power to make sure my own children have a better experience than I did! I admire those who excel at mathematics.

Sorry for rambling; I suppose you hit a nerve. [emoji39]

(August 14, 2016 at 9:28 am)LadyForCamus Wrote:

(August 14, 2016 at 8:07 am)pocaracas Wrote:
Don't be like that.
Math is fun.... and this is a simple geometry problem.

Many kids are feeling like you, simply because of this generalized social repulsion towards math... don't add to the problem, be part of the solution!
Try.... as with many other things, you will fail, at first... try again and again... eventually, it becomes second nature.
Pass that on to your kids and friends...

The only reason I feel that way is because I am TERRIBLE at it, lol.  I struggled all throughout high school, had tutors, summer practice, staying after school for extra help, and re-taking of Regents exams (doing worse the second time around).  I hate it because I could never "get" it, not because of any kind of 'social repulsion' or pop-culture reputation it has.  Either my brain is not wired to understand math, or I never had the right teacher.  Probably the first one.

Believe me, I understand how important math is (which is why it bothers me so much that I suck at it) and I will do everything in my power to make sure my own children have a better experience than I did!  I admire those who excel at mathematics.

Have you tried Khan Academy?