Foxtrot

[mathbalarka]

Read this one :

 

[MarkFL]

Hey Balarka,

When I saw the topic title, I thought you were going to teach us to dance!

Even though it has been many years since I was in school, I still sometimes have the "anxiety dream," i.e., that it is the day of the final, I have done no preparation, brought no supplies, and I have shown up to school in underwear only...

 

[mathbalarka]

When I saw the topic title, I thought you were going to teach us to dance!

Okay, let's Dance then : Cha-La, Head-Cha-La...

I never had any type of nervousness before or after my math tests. Maybe because math is my favourite subject?

MarkFL, wanna see how to make a funny topic serious? Write a closed form expression for the sum given in the comic in the question #2 of the test paper*.

PS* : This is called Foxtrot series and that was the thing I was looking for and accedentally found this page of the original comic.

 

[ZaidAlyafey]

I sometimes have a dream that the time of exam finishes before answering most of the questions . Also, an exam on a certain subject turns out to contain questions from other subjects .

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PS* : This is called Foxtrot series and that was the thing I was looking for and accedentally found this page of the original comic.

I was thinking whether this is solvable .

 

[MarkFL]

I never had the dream before an actual final, just at seemingly random times.

That "Foxtrot series" looks like too much fun at 4:16 am...

 

[mathbalarka]

I was thinking whether this is solvable

The sum reduces to \(\displaystyle \frac{1}{3} \left (1 - \ln(2) + \pi \sec(\sqrt{3} \pi/2) \right )\)

 

[MarkFL]

The sum reduces to \(\displaystyle \frac{1}{3} \left (1 - \ln(2) + \pi \sec(\sqrt{3} \pi/2) \right )\)

Did you use the digamma function?

 

[mathbalarka]

Did you use the digamma function?

I didn't do anything, but yes, there is an application of digamma in the derivation.

 

[ZaidAlyafey]

The sum reduces to \(\displaystyle \frac{1}{3} \left (1 - \ln(2) + \pi \sec(\sqrt{3} \pi/2) \right )\)

That must be the hyperbolic function , I thought of solving the sum using partial fraction decomposition then solving by residues...

 

[mathbalarka]

Yes, sorry that sec should be sech.

I thought of solving the sum using partial fraction decomposition then solving by residues

I don't think residues are best method to do this; however, have you been able to use residues?

 

[ZaidAlyafey]

Yes, sorry that sec should be sech.



I don't think residues are best method to do this; however, have you been able to use residues?

Ok, I will post the solution if I can figure that out ..