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Nairaland Forum / Nairaland / General / Education / Nigerian Mathematics Olympiad (14715 Views)
2018/19 Nigerian Mathematics And Sciences Olympiads (1st Round Result) / 2019/2020 Nigerian Mathematics & Sciences Olympiad Results For All States / 2017/18 Nigerian Mathematics and Sciences Olympiads (First Round Results) (2) (3) (4)
Re: Nigerian Mathematics Olympiad by Nobody: 2:04pm On Feb 23, 2019 |
MathsEconomics:I know the answer to this as an identity. |
Re: Nigerian Mathematics Olympiad by Nobody: 2:05pm On Feb 23, 2019 |
General Problem: Prove that there is no power of 2 that when you rearrange its digits forms another power of 2. |
Re: Nigerian Mathematics Olympiad by Nobody: 2:12pm On Feb 23, 2019 |
Darivie04: What's straightforward? Finding the range of expressions is never a straightforward task, however, I'll like to see your "straightforward" approach. |
Re: Nigerian Mathematics Olympiad by Nobody: 2:13pm On Feb 23, 2019 |
Darivie04: Can you prove the identity? |
Re: Nigerian Mathematics Olympiad by Nobody: 2:29pm On Feb 23, 2019 |
MathsEconomics:All combinations of a and b constitutes the function's domain. Knowing that, its clear to find its range. |
Re: Nigerian Mathematics Olympiad by Nobody: 4:09pm On Feb 23, 2019 |
Darivie04: Range is quite different from domain, note also domain D of a function is the subset D of real numbers for which that particular function is defined. To find domain, all you need to study is study the function and determine the set of n-tuples of Real numbers for which that function is meaningless. On the other hand, to find the range, it suffices to study the function analytically, using several tools from Algebra to find the extremal values of the function concerned and prove that for am appropriate n-tuple such extremal values are possible. Range is a more difficult task. |
Re: Nigerian Mathematics Olympiad by Queenmark: 7:14pm On Feb 23, 2019 |
Good evening, please I need a tutor in Abuja. Someone that understand maths especially maths |
Re: Nigerian Mathematics Olympiad by Nobody: 8:05pm On Feb 23, 2019 |
MathsEconomics:I'm not arguing whether range is more difficult to find than domain. |
Re: Nigerian Mathematics Olympiad by Nobody: 11:57am On Mar 03, 2019 |
Darivie04: It's not possible. The key to the solution is observe that all natural numbers are congruent to the sum of their digits modulo 9. Since all powers of 2 must be even, their difference must as well be even. |
Re: Nigerian Mathematics Olympiad by Nobody: 12:10pm On Mar 03, 2019 |
I decided to type my solution.
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Re: Nigerian Mathematics Olympiad by Nobody: 12:12pm On Mar 03, 2019 |
I gave this problem to my students in ss1 as assignment. The number 3.15, it's integer part is 3 and it's fractional part is 0.15, use this knowledge to solve the given problem. (For Everyone).
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Re: Nigerian Mathematics Olympiad by Nobody: 4:27pm On Mar 03, 2019 |
MathsEconomics: Your right that its not possible but the proof is wrong at the part when you say the permutations of a power of 2 are even. Counterexample: 2^9=512 but 521 isn't even. |
Re: Nigerian Mathematics Olympiad by Nobody: 4:36pm On Mar 03, 2019 |
MathsEconomics: I got 26.43 but I approximated a lot. I think the answer is 26. |
Re: Nigerian Mathematics Olympiad by Nobody: 4:47pm On Mar 03, 2019 |
Please can anyone suggest an introductory text for combinatorial geometry? |
Re: Nigerian Mathematics Olympiad by WinningEleven(m): 6:30pm On Mar 03, 2019 |
![]() I've never seen this kind of maths all my life ![]() What sorcery is this? |
Re: Nigerian Mathematics Olympiad by Nobody: 6:48pm On Mar 03, 2019 |
Darivie04: No, there's no error in my proof. I assumed that B must be even, there are many possible ways to permute a power of 2, but out of those possibilities, we only need to consider the case where the given permutation results to an even number. We are asked to find a power of 2 from which the digits we get from the permutation of its digits is also a power of 2, clearly this given digit we get from the permutation can never be odd since if it was odd, it cannot never be a power of 2 since all powers of 2 are even. So there is no loss in generality in assuming that the given number B must be even. |
Re: Nigerian Mathematics Olympiad by Nobody: 6:50pm On Mar 03, 2019 |
Darivie04:I can send you good books on this subject. However, it's prerequisites are quite great. |
Re: Nigerian Mathematics Olympiad by Nobody: 6:53pm On Mar 03, 2019 |
Darivie04: Let me see your solution. |
Re: Nigerian Mathematics Olympiad by Nobody: 4:33pm On Mar 05, 2019 |
MathsEconomics:Oh I see... That's a very beautiful solution ![]() |
Re: Nigerian Mathematics Olympiad by Nobody: 4:38pm On Mar 05, 2019 |
General Problem: Difficulty level: JSS3
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Re: Nigerian Mathematics Olympiad by Nobody: 4:41pm On Mar 05, 2019 |
General Problem Difficulty level: SS2 Topic: Number Theory.
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Re: Nigerian Mathematics Olympiad by Nobody: 4:48pm On Mar 05, 2019 |
MathsEconomics: The two books I have on the topic have references to abstract algebra and analysis which I haven't yet studied. One of them is "Excursion into Combinatorial Geometry" and the other one was partly written by Pankaj K. Agarwal. Both of them seem like advanced books on the topic cause they both lack definitions and introductions to foremost things like a convex hull, which I assume to be one of the most basic concepts are missing from this books. So I would really like to see your books but I lack a lot of prerequisites. |
Re: Nigerian Mathematics Olympiad by Nobody: 4:59pm On Mar 05, 2019 |
Darivie04: I think those books are graduate level books as Abstract Algebra and Real Analysis are not prerequisites for the Olympiad. Don't try to delve into Combinatorial Geometry now, first of all try to cover Combinatorics, Graph Theory, Algebra and Geometry and make sure you're comfortable with them before delving into monsters like Combinatorial Geometry Combinatorial Number Theory Combinatorial Game Theory. Note, these are also Olympiad topics. |
Re: Nigerian Mathematics Olympiad by Nobody: 5:01pm On Mar 05, 2019 |
WinningEleven: This is real math. Most of the math done from sec school just involves applying repetitive procedures or formulas which isn't really math. And even if in some sense it is, it doesn't really show the essence of math which is thinking and creativity. |
Re: Nigerian Mathematics Olympiad by Nobody: 5:03pm On Mar 05, 2019 |
MathsEconomics:OK, I'll do that... It was originally this question that sparked my interest in the topic.
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Re: Nigerian Mathematics Olympiad by Nobody: 6:25pm On Mar 05, 2019 |
![]() ![]() ![]() ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ∆ I know most of these topics by name but no fuçking time to dust them!!! ![]() sh*t ∆ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ |
Re: Nigerian Mathematics Olympiad by Nobody: 6:28pm On Mar 05, 2019 |
MathsEconomics: ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ∆ Help a soul..... Most of these stuffs are extremely time consuming... Also, there are lots and lots of branches in mathematics.... tons of them I don't which to delve into... I need to go into programming.... ASAP ∆ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ |
Re: Nigerian Mathematics Olympiad by graccce: 7:43pm On Mar 05, 2019 |
Pls my pple in economics department do they have mathematics course separately. Thank some should quote me. |
Re: Nigerian Mathematics Olympiad by Nobody: 4:01am On Mar 06, 2019 |
OrestesDante:Then go and do programming naw ![]() |
Re: Nigerian Mathematics Olympiad by Nobody: 1:54pm On Mar 09, 2019 |
MathsEconomics:Been going at this question since... |
Re: Nigerian Mathematics Olympiad by Nobody: 7:21pm On Mar 09, 2019 |
Darivie04:are you a mathematics undergraduate? |
Re: Nigerian Mathematics Olympiad by Martinez39(m): 12:10am On Mar 10, 2019 |
Darivie04:Exactly! |
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