user 1591719

@robjohn Thanks!

@robjohn At any time you want to. Pretty much away from the noisy places of the world (mostly) for a long time in order to be capable to listen to my deepest ideas.

@robjohn Nice to hear from you. Long time no see. :-)

@robjohn True. I wanted to share a kind of problem you would probably enjoy a lot (good to try when you have time) $$\displaystyle \log^2(2)=\lim_{n\to\infty}\sum_{k=1}^{n} \left(\frac{H_{k+n}}{k+3n}-\frac{n H_k}{(k+n) (k+2n)}\right)$$.

@robjohn Hi. How is it going lately? :-)

@robjohn Okay

I was thinking to ask you a question, but maybe I think more over it before, as regards the existence of a class of integrals in literature with a certain property (they certainly exist, but not sure if the bear a name).

@robjohn Hi. How is it going? Are you around?

One more thing that these tests don't catch is when someone has ideas to attack a question, but more time is necessary, and the case when someone simply has no idea about what to do further.

Let me know if you had a chance to take the test. If not, and you are willing to take it, let me know at any time how things seemed to you.

I point out that I consider these tests only out of curiosity, to see (if the case) how mathematics performed in the long term affects someone's power of pattern recognition, and not as a means of measuring intelligence (whatever that would mean).

Hi, robjohn. How is it going? I recently took this test test.mensa.no and since I couldn't finish all within the given amount of time (25 minutes) I scored 135. With a bit of extra time I could figure out how to go further, and that would have probably led to about 140 or slightly above.

Have a nice day!

@robjohn Ok. Great!

I'll be very glad to find your list of answers at any time it is available.

Nice talk! I'll return around once in a while. A lot of mathematical work to do lately.

@robjohn Absolutely. And we often talk about experience gained over many years! :D

@robjohn Simple, but it takes time and a lot of experience to arrive at these ideas.

@robjohn Yeap

Maybe did you get the inspiration from some work on differential equations?

@robjohn It should deserve many upvotes (I'm sure that many creative ways - speaking in general - can be obtained by reducing everything to simple differential equations).

@robjohn Do you have it as an answer on MSE?

@robjohn Ohhh, a lot!

The previous one is a very good one I'll consider (it will be cited).

That's great. If you ever care to share, please let me know. Otherwise I'll try the long way to go and check many of them.

(almost no time these days to explore MSE)

@robjohn If you ever make a list with some answers of yours you would highlight, please don't miss me.

I'll have to carefully check more of your answers at some point in the future.

Have a good day! I'm out.

@Cerberus Great! Many thanks for your efforts and time! :-)

@Cerberus Thank you! I just wondered if there were a more natural way to go - or, let's say, a more formal one.

Which of the two versions seem more natural to you?

"... and the rules are: no use of A, B, C!" or "... and the rules are: no use of A, B, or C!"

Hi

I'll do! :-)

Bye

:-)

Many thanks!

Yeap, indeed!

Once again, thank you so much for all explanations!

@Cerberus Yeah, absolutely agree.

@Cerberus Yes, I noticed that, but the confusion arose from the fact that some use one version and some the other one.

@Cerberus Thank you very much!

I noticed that some references use worked out and some worked-out. Could you tell me your opinion on this difference in the context above?

@Cerberus It sounds good. So, by the same reasoning lines, we can also use a worked out solution, right? Meaning that the whole process of obtaining the solution is exposed.

to work out a problem = to solve a problem

Does it sound Ok in English to replace in such a context "worked out problems" by "solved problems" and viceversa?

Do "The paper contains more examples with worked out problems." and "The paper contains more examples with solved problems" sound to have the same meaning?

Hi