Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#26 2009-03-31 21:30:51

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

#9(i) up
grtjb628.gif

For (ii), there are still gaps.


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#27 2009-03-31 21:36:26

smiyc86
Member
Registered: 2009-03-19
Posts: 78

Re: Jane’s Exercises III

well logically it is understood ... tongue ....


I love Maths and Music ... dunno which more wink

Offline

#28 2009-03-31 21:48:51

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

No, it is not. neutral Would you like to attempt #9(ii) again?


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#29 2009-03-31 21:59:10

smiyc86
Member
Registered: 2009-03-19
Posts: 78

Re: Jane’s Exercises III

Last edited by smiyc86 (2009-03-31 22:43:13)


I love Maths and Music ... dunno which more wink

Offline

#30 2009-03-31 23:30:12

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

No, still wrong.

Also you still have not proved #1 satisfactorily.

Last edited by JaneFairfax (2009-04-03 21:42:42)


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#31 2009-04-02 07:57:52

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#32 2009-04-02 21:17:27

smiyc86
Member
Registered: 2009-03-19
Posts: 78

Re: Jane’s Exercises III

hahahaha ... u really know just one way to prove a prob and think that it is the only way ... let me tell u dear ... there are more than 5 ways to solve any problem in math wink


I love Maths and Music ... dunno which more wink

Offline

#33 2009-04-02 21:20:07

smiyc86
Member
Registered: 2009-03-19
Posts: 78

Re: Jane’s Exercises III

@jane ... prove me 1+1=2 wink


I love Maths and Music ... dunno which more wink

Offline

#34 2009-04-02 21:45:47

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

Of course there many ways to solve a problem. That does not mean that any old way to solve it is correct. Some of your solutions are correct, some are not.

For example, your solution to #6 is correct, even though it is different from mine. My solution uses the AM–GM inequality.

If your solution is correct, then congratulations. If it isn’t, and I point out that your solution is wrong, then you should go back and check your working instead of being stubborn about it. Cool.png


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#35 2009-04-03 12:57:46

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

I thought I should give the solution to #7 because that problem has to do with algebraic topoolgy – but I can’t expect every MathsIsFun browser to be familiar with algebraic topology, fascinating though the subject is.


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#36 2009-04-03 17:47:58

smiyc86
Member
Registered: 2009-03-19
Posts: 78

Re: Jane’s Exercises III

@jane ... if my solution is wrong i will accept that before even u can tell me about it  .... but if i am right ... u need to accept it ... there are no old ways in math .... u only accept some new ways if u think it is better than the previous one .... but in no way i  can find your solution way better than mine wink big_smile ... both of us used contradiction to solve it ... so how can mine be old ... infact u used the old way of squaring both sides etc. the one we used to do in schools tongue ....

so in my books ur style of solution is in no way nearly as interesting or nearly as appealing as mine big_smile tongue ...


oh yes ... as u say my solution is wrong roflol ....

tell me one step which is wrong ....:lol:

if u can't show one such step ... never again say someone wrong shame

Last edited by smiyc86 (2009-04-03 17:51:23)


I love Maths and Music ... dunno which more wink

Offline

#37 2009-04-03 20:51:08

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

smiyc86 wrote:

lets assume m√d + n√e is rational ... then we can represent it in the form p/q ... p,q ∈ Z
now there must be two integers a and b such that
p=a+b
and m√d = a/q ; n√e = b/q

>> √d = a/mq ; √e = b/nq ..... as a,b,mq,nq ∈ Z
√d and √e becomes rational numbers ... which contradicts wink



That is where your solution to #9(ii) wrong.

Your solution to #1 has a flaw as well. But I will leave you to spot it yourself as an exercise. tongue

Last edited by JaneFairfax (2009-04-03 21:43:02)


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#38 2009-04-03 21:04:40

smiyc86
Member
Registered: 2009-03-19
Posts: 78

Re: Jane’s Exercises III

hmm agreed nice spotting .... thanx.... [:)]


I love Maths and Music ... dunno which more wink

Offline

#39 2009-04-10 07:28:23

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III




Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#40 2009-04-14 01:46:05

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III

Last edited by JaneFairfax (2009-04-15 03:43:52)


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#41 2009-04-15 03:42:09

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#42 2009-04-25 07:33:57

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III





Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#43 2009-04-30 06:42:33

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#44 2009-05-03 20:08:05

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III



By the way, what do people think of my exercise questions? (I set all of them myself.) Are they too difficult? neutral Or too easy? tongue


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#45 2009-05-04 23:10:34

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III



NB: A p-group is a group in which every element has order a power of the fixed prime p (including the identity, which has order p[sup]0[/sup]). It is worth noting that such a group need not be finite – there do exist infinite groups in which every element has finite order.


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#46 2009-05-06 07:17:34

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III




Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#47 2009-05-12 21:42:16

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III



Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#48 2009-05-22 10:36:20

kean
Member
Registered: 2009-05-17
Posts: 8

Re: Jane’s Exercises III

don't think it is good question.


[img]C:\Users\libo\Desktop\New Text Document (2).html[/img] produces

Offline

#49 2009-06-02 09:21:10

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III




Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

#50 2010-03-16 21:45:09

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Jane’s Exercises III


Q: Who wrote the novels Mrs Dalloway and To the Lighthouse?

A: Click here for answer.

Offline

Board footer

Powered by FluxBB