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September 15, 2026, 07:04:53 pm

Author Topic: CPX HELP!  (Read 3945 times)  Share 

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Mao

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Re: CPX HELP!
« Reply #15 on: March 07, 2011, 01:41:30 am »
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What Kamil said. However I can forsee a subtle problem going between , that but , this may or may not be a problem (it might get rid of itself when simplifying, who knows).

Yes I agree I posted in a hurry before and cbf'd with checking what exact definition of Arg is used in spec, but using the definition that you provided ( is the angle makes with positive real axis and is in we have :





This is basically because if but   was in the 2nd quadrant then would be in the 3rd quadrant which is not good because then the (absolute value of) Arg is bigger than pi/2 due to the definition used here. Otherwise it is good. (check this yourself).

Basically I prefer to do this by having each line specifying an "equivalent" condition ie(if and only if, ) rather than just bash some algebra and then go fishing for restriction (how will you know that there are no other restrictions in the sea that you may have missed?) but this is easy to say but a pain in the ass to practice (hence my recent laziness a la previous post).

Missed something very subtle here:



:P
« Last Edit: March 07, 2011, 01:44:24 am by Mao »
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kamil9876

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Re: CPX HELP!
« Reply #16 on: March 07, 2011, 02:25:51 am »
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We are both right! the two statements are equivalent:

Quote

Quote

THe extra info you provided is redundant in the same way as (x>1) and (x>1 AND x>0) are equivalent with (x>0) being redundant. This example is more tricky, what is happening is . But then the fact that means that is just multiplied by some positive multiple of but is not in the 2nd quadrant hence . So basically we get your extra condition just from assuming my two.
« Last Edit: March 07, 2011, 02:31:20 am by kamil9876 »
Voltaire: "There is an astonishing imagination even in the science of mathematics ... We repeat, there is far more imagination in the head of Archimedes than in that of Homer."

BubbleWrapMan

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Re: CPX HELP!
« Reply #17 on: March 07, 2011, 06:30:14 pm »
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The locus I came up with seems to satisfy the original statement. It may just be that simple. :P

(x + 1/2)^2 + (y + 1/2)^2 = 1/2
And y > -x - 1

Try subbing in some points, I'm pretty sure it's right.
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

Mao

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Re: CPX HELP!
« Reply #18 on: March 07, 2011, 06:59:58 pm »
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The locus I came up with seems to satisfy the original statement. It may just be that simple. :P

(x + 1/2)^2 + (y + 1/2)^2 = 1/2
And y > -x - 1

Try subbing in some points, I'm pretty sure it's right.

Yeah it is right, we all got that at the end :P But we all decide to say that in different ways over the last 10 or so posts. xD
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BubbleWrapMan

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Re: CPX HELP!
« Reply #19 on: March 07, 2011, 07:10:28 pm »
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Oh ok, that's not confusing. :P
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

evaever

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Re: CPX HELP!
« Reply #20 on: March 07, 2011, 09:27:54 pm »
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Oh ok, that's not confusing. :P

Not confusing at all. You know and understand the problem, so you see the simple way to solve it.