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System of n linear algebraic equations in n unknowns.
A system of n linear equations in n unknowns can be rewritten in unfolded form as
a11x1 + a12x2 + ¢ ¢ ¢ + a1kxk + ¢ ¢ ¢ + a1nxn = b1,
a21x1 + a22x2 + ¢ ¢ ¢ + a2kxk + ¢ ¢ ¢ + a2nxn = b2,
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
an1x1 + an2x2 + ¢ ¢ ¢ + ankxk + ¢ ¢ ¢ + annxn = bn,
(1)
where a11, a12, : : : , ann are coefficients; b1, b2, : : : , bn are free terms; and x1, x2, : : : , xn are
unknowns.
A set of n numbers x1, : : : , xn that, when substituted for the unknowns in system (1), turn the
equations of (1) into identities is called a solution of system (1). A system of equations is called
compatible if it has at least one solution. A system that has no solution is called incompatible.
Kramer’s rule. If the determinant of system (1) is nonzero,
¢ = det
0
B@
a11 a12 : : : a1k : : : a1n
a21 a22 : : : a2k : : : a2n
: : : : : : : : : : : : : : : : : :
an1 an2 : : : ank : : : ann
1
CA
¹ 0, (2)
the system has a unique solution given by Kramer’s rule:
x1 =
¢1
¢
, x2 =
¢2
¢
, : : : , xk =
¢k
¢
, : : : , xn =
¢n
¢
,
where ¢k is the determinant obtained by replacing the kth column in the determinant (2) by the
column of free terms:
¢k = det
0
B@
a11 a12 : : : b1 : : : a1n
a21 a22 : : : b2 : : : a2n
: : : : : : : : : : : : : : : : : :
an1 an2 : : : bn : : : ann
1
CA
Q.E.D.
_______________________
SUCCESS IS SIMPLY A MATTER OF LUCK....ASK ANY FAILURE!!
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Tish,
<> Q.E.D.
Q.E.D. is used as a Mathematical or Logistical paraphrase:
1 + 3 = 12 / 3 = Q.E.D.
In order for one to prove ones point in a debate in an open forum, one should use:
I make my point
or
I rest my case
_______________________
www.andalucianstyle.com
Me, the Mrs and Rosie too! But we'll never, ever forget our Tyler!
We support AAA Abandoned Animals Marbella - Do you?
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Hi Redsam
this is the exact formula estate agents use when they explain how they
calculate their commission.
Good news about to watch Brazil thrash Chile.
Real football at last
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More, learning a few new words myself, as you said Jesus frigging Christ! You could be right when Justin sees your language he may just delete this thread, or at least your post!
_______________________
SUCCESS IS SIMPLY A MATTER OF LUCK....ASK ANY FAILURE!!
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More,
It was not I who started 'with the knives'.
However, I could not refrain further from what was obviously a personal attack!
Further, I did bring this thread back on track!
The last thing I will say about a 'friend or foe' setting is that threads would become incredibly disjointed.
If people want to debate on a forum, then do so!
If people want to agree to disagree, then do so!
However, it is not acceptable for a poster on a forum to degrade our otherwise intimidate another member, and that is exactly what Tish did to me, and has done to others!
If it were up to me, Tish would have a somewhat lengthy holiday from this forum, as this user has done little over the years to contribute to the forum, but has inflamed the sensibilities of many!
_______________________
www.andalucianstyle.com
Me, the Mrs and Rosie too! But we'll never, ever forget our Tyler!
We support AAA Abandoned Animals Marbella - Do you?
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LOL peteha
_______________________
SUCCESS IS SIMPLY A MATTER OF LUCK....ASK ANY FAILURE!!
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More Good news in Spain!
The exchange rate is now 1.231€ against Sterling.
Thus even more Brits will come out to Spain on holiday, bringing even more money to Spain!
_______________________
www.andalucianstyle.com
Me, the Mrs and Rosie too! But we'll never, ever forget our Tyler!
We support AAA Abandoned Animals Marbella - Do you?
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However, it is not acceptable for a poster on a forum to degrade our otherwise intimidate another member, and that is exactly what Tish did to me,
How pathetic. I did not "intimidate" you. I was pre-empting you. (I was correct in my assumptions) Every time Goodstich, Norman or anyone else posts a word against Spain you go into overdrive. Unless something dreadful happened to you living in the UK I cannot understand your vitriol about the UK .I find it quite offensive.
and has done to others!
If it were up to me, Tish would have a somewhat lengthy holiday from this forum, as this user has done little over the years to contribute to the forum, but has inflamed the sensibilities of many!
WELL IT'S NOT UP TO YOU. This user has done a huge amount on this forum to help a very large number of people over the years. FACT
This message was last edited by Tish on 28/06/2010.
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Tish you said:
I've got to say this.
It will be the GOOD news from Spain when it spills over to the thousands who would have liked to be enjoying their property in there, but can't through no fault of their own, and not to just those currently living there.
Not everyone living in Spain thinks it is wonderful as Vicky (Emerald Management) has frequently written about. Fine when all is rosy, but a blip makes it a whole different story. Then they can't wait to get back to the UK.
(I'll expect the usual vitriolic response from the 'Ape)
WHY? Why did you feel compelled to post this unsolicited and irrelevant remark on this thread? We all fully understand your and others 'vitriol' about Spain without you and others, yet again, hijacking yet another thread!!!!!
Some are just so bloody oblivious to FACT it's untrue!!! The mind boggles!
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I'll tell you why Pitby. It's because I've read the posts on this thread and seen how many of you consistently barrack Norman & Goodstich. I've often felt like backing them but resisted. I was responding to a remark made by Goodstich. IMO, Technoape is way out of line with his often very rude posts.
Put the shoe on the other foot. Why do you have to have a "Good News in Spain !" thread? We all know how bloody wonderful you all think it is! As the ""big guy says...It's a forum open for debate , like it or not. He knows sweet FA what I do on this forum.
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and the vitriol spilleth over ....
Edited to say: and yet another thread heads south!!! What a bloody shame and totally unnecessary! Over 45 milliion people, of which there are probably well over a million British, consider Spain a pretty good option to live in - but a few posters on EOS can't accept that there may be some good news to hear from them!!!! Narrow or what!!
This message was last edited by Pitby on 28/06/2010.
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I did not write about my problems on this thread as I did not think it applied here, however, since others have mentioned me a number of times I feel the need to respond.
I hope I am not being referred to as one of the people that consistently run this country down as that is simply not the case. If anyone had read how my original thread started,it was me saying how sad I was to leave this country. I think it is great to have a thread talking about the good things about Spain since there are so many threads talking about the bad and I also think if you do not have anything constructive to say in relation to a thread you should just keep quiet.and go to the threads relating to your gripes. Although I was upset and angry when I reposted on my own thread,what I said in relation to NEVER WANTING TO BE IN THIS COUNTRY AGAIN was absolutely not true, no matter what I am going through right now,I STILL love Spain and I will always want to come back here to live. I will just be more aware of the issues here and more prepared to deal with them.
Come on guys, most of us have far to much to deal with in our own lives to have to see all the silly bickering on here! We may not all agree but do we have to attack eachothers every word?
_______________________ Vicci Healy
Emerald Property Management and Building Specialists
...
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Tish,
"I was responding to a remark made by Goodstich. IMO, Technoape is way out of line with his often very rude posts."
Show me an example of me being, as you say, rude.
"Put the shoe on the other foot. Why do you have to have a "Good News in Spain !" thread? We all know how bloody wonderful you all think it is!!
And why not? We all know how bloody awful you think Spain is! You don't have to read the thread! You certainly don't have to post your negative thoughts in this thread, as we have all repeatedly asked people such as you not to do!
So why, do I ask myself, as many others are thinking, do you bother to post on a forum that was designed to constructively talk about Spain, property purchase in Spain, Living in Spain, etc, etc!
"As the ""big guy says...It's a forum open for debate , like it or not. He knows sweet FA what I do on this forum."
I have seen your previous posts, and where you used to predominantly post, and let us guess, was that in threads such as "Rough Justice yet again"
_______________________
www.andalucianstyle.com
Me, the Mrs and Rosie too! But we'll never, ever forget our Tyler!
We support AAA Abandoned Animals Marbella - Do you?
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Vicci, anyone who had read your posts properly would know exactly how you feel about Spain. It's just unfortunate that a few on here jump to 'cut and paste' any part of a post on any thread on EOS, that may contain a negative remark about Spain, to vent their own bitterness - even on a thread where it doesn't belong!! Nothing deters them!!
Good news in Spain? Yep, school's out in two days and beach beckons!! But then we can do that even when 'school's in'!!
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Well said Vicci,
I would have been so cross if that was my post taken out of context.
Hope you get sorted soon.
Take care Pat
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I have seen your previous posts, and where you used to predominantly post, and let us guess, was that in threads such as "Rough Justice yet again"
Technoape, that remark proves how little you know about me. I joined this forum in 2005. My objective was to find out as much as I could about what is now known to be the wholesale corruption in Spain and the people affected by it. At that time the Malaya case was not invented. I have personally met a lot of people who had hoped to purchase on the same development as my husband & me. Through this forum I have been in contact with well over a hundred & fifty people who have been in the same situation as we were. I've gone through two long court cases against Banco Popular and more recently the Lawyer. We won both cases. To this day I get inundated by people asking for advice, how we went about things etc. That's the reality of Spain. It is corrupt. You may not see but it is deep inside its core. Ignore it if that's what makes you feel better. Even in todays papers, Spain is denegrated. I really cannot be bothered with your rantings, but please respect other peoples problems or don't respond to them. If you cannot see how your posts to Goodstitch and Norman are nasty if you don't like rude, then we clearly have different values as far as respect goes.
My reason for posting here is different to yours. Unfortunately our paths crossed.
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Vicci,
My sincere apologies if I took your post out of context, although having just re-read it I came to the same conclusion.
Needless to say, I am no longer sad to say goodbye to this country,i hope,after I get this Birth Certificate,that I never see this country again. My son cannot register for schools or a doctor and cannot get his vaccinations,is this the way EU citizens are treated in our modern times,i wonder.
I so hope that the authorities see sense soon and issue you with the relevant paperwork. WHAT are they hoping to achieve by not issuing it? Good Luck.
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Quote from Pitby:
Good news in Spain? Yep, school's out in two days and beach beckons!! But then we can do that even when 'school's in'!!
Here's to positivity! This forum was really not set up as a vehicle for bashing other peoples' dreams despite the reality that some people have been horribly ripped off by a sometimes corrupt system. I feel for Norman, Tish and Goodstich (genuinely I really do) but I think it is more appropriate to keep all that stuff for the lawyers (or your therapists).
Here's to good times and sunshine!
Caroline
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Dear All,
it is no good, I cannot do it, no matter how hard I try, I will never understand!!!!!!!!!!!!
if I was enjoying something good that I had achieved, why in the world would I seek to abuse someone who had failed to achieve the same thing????????????
Even if that person was not the victim of theft and corruption, it just does not make sense.
What sort of spiteful moronic persons would so engage themselves??????????
I can see why spin is used to try and improve a failure and perhaps gain some advantage in rental or resale, unethical but understandable.
I can see why an arrogant and boastful person who had failed to establish a new business, failed in his property speculation and seen that speculation halve in value, would be somewhat bitter.
Even failed to learn the language and was left to live off his wife's pension and savings brought in from the UK, daily praying for the exchange rate to improve in the hope of some relief.
His discomfort is understandable but does he really believe he can change the market??????????
I think the good news from Spain is that it has retained it's attractions but the price has gone up for the Brits.
Or am I just too simple?
Regards
Norman
_______________________ N. Sands
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