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geniuses in mathematics help me on an assignment by Need2learnmuch: 11:50am On Mar 20, 2019 |
[color=#006600][/color] ![]() 1. An=(0,1/n) open interval 2. An=(0,1/n) half open interval 3. ∑ ∞ r=1 (1/r²) |
Re: geniuses in mathematics help me on an assignment by Nobody: 3:57pm On Mar 20, 2019 |
Geniuses don't exist |
Re: geniuses in mathematics help me on an assignment by Need2learnmuch: 4:26pm On Mar 20, 2019 |
Chidorx60:Who told u |
Re: geniuses in mathematics help me on an assignment by Nobody: 8:52pm On Mar 20, 2019 |
Need2learnmuch:Life |
Re: geniuses in mathematics help me on an assignment by Need2learnmuch: 9:41pm On Mar 20, 2019 |
Chidorx60:Ok can u help me solve this |
Re: geniuses in mathematics help me on an assignment by Martinez39(m): 10:18am On Mar 21, 2019 |
The last one, if I am right, is a summation from 1 to infinity of the term 1/r². The answer is π²/6. It was proved my Leonard Euler. The proof is beyond my knowledge of Mathematics. |
Re: geniuses in mathematics help me on an assignment by Need2learnmuch: 4:07pm On Mar 21, 2019 |
Martinez39: Thanks for trying but the last answer is 3.U Sa=(3/2) ∩ Sa=(1) The thing is that I can't solve it |
Re: geniuses in mathematics help me on an assignment by Martinez39(m): 4:19pm On Mar 21, 2019 |
Need2learnmuch:Expect if your "r" meant something else or I didn't get the context of the problem. I am sure that the infinite series Σ (1/r²) converges to π²/6 ie. Σ (1/r²) = π²/6. |
Re: geniuses in mathematics help me on an assignment by Need2learnmuch: 8:03pm On Mar 21, 2019 |
Martinez39:But what about 1&2 |
Re: geniuses in mathematics help me on an assignment by Nobody: 8:10pm On Mar 21, 2019 |
Need2learnmuch:Nope,too stressful. beside this aint my area of mathematical specialization. |
Re: geniuses in mathematics help me on an assignment by Martinez39(m): 8:11pm On Mar 21, 2019 |
Need2learnmuch:I don't know them. |
Re: geniuses in mathematics help me on an assignment by Nobody: 8:12pm On Mar 21, 2019 |
Martinez39:Really need to find the proof that is beyond the knowledge of Martinez39, Kudos to Euler the blind genius. |
Re: geniuses in mathematics help me on an assignment by Need2learnmuch: 8:24pm On Mar 22, 2019 |
Chidorx60: don't forget this is indexing sets question |
Re: geniuses in mathematics help me on an assignment by Nobody: 8:58pm On Mar 22, 2019 |
Need2learnmuch:This is point-set topology. |
Re: geniuses in mathematics help me on an assignment by Nobody: 9:01pm On Mar 22, 2019 |
An = (0,1/n), An+1 = (0,1/(n+1)) An+1 is contained in An, so An is contained in An-1 which is contained in An-2 and so on till A1=(0,1), so An is contained in A1 for all n, and so their union is just A1. Intersection of An and Am is max(n,m), intersection from A1 upto an arbitrary An is just An=(1,1/n), and so intersection of all such is the limit on n, which would approach empty set. |
Re: geniuses in mathematics help me on an assignment by Nobody: 9:03pm On Mar 22, 2019 |
Martinez39:Its not a regular sum. |
Re: geniuses in mathematics help me on an assignment by Martinez39(m): 9:14pm On Mar 22, 2019 |
Darivie04:Okay. |
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