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19 will be held for the sixth East Asia Summit, widely seen as the biggest highlight of the summit is the first time the United States and Russia, membership in formal participation in the summit. Recent high-profile in the United States' return to Asia-Pacific "context, the summit has not yet opened, wrestling has begun. Shanghai Jiaotong University, Pacific Rim Research Center Professor Wang Shaopu accept the Morning News reporters Cai Fang and Shi Biaoshi, the United States intended to strengthen its leadership in the region, which could make the East Asia Summit countries in conflict is more complicated. Tongji University School of Politics and International Relations, Dean Professor Xia Liping is that the U.S. made the first formal meeting on the South China Sea issue, but in reality is trying to South China Sea as a "return to Asia," the starting point to the South China Sea to form the so-called acer TravelMate 5520 Series battery "issue-based alliances . "
South China Sea
U.S. I hope that a frank discussion at the summit the South China Sea dispute
White House Deputy Assistant for National Security Affairs, said the Rhodes 16, the United States will sail the South China Sea East Asia Summit as a major safety issue. Rhodes said the United States is convinced that the East Asia Summit to discuss the most suitable platform for maritime navigation safety, maritime security in the context of the discussion, "the South China Sea was much concern." "East Asia Summit is not a forum to address specific territorial issues, but it is a principle to express our forum to resolve such problems, we will focus on those principles that we believe that the continued stability and maintaining the South China Sea, a vital principle of freedom of business activities . "
U.S. Secretary of State Hillary Clinton, 16, also in the Philippines said the U.S. hopes this weekend's East Asia Summit held in Bali, a frank discussion on the South China Sea disputes.
Clinton also used the same day, "the West Philippine Sea" refers to Dell Inspiron 9400 Battery the South China Sea, which is the unilateral declaration of Philippine sovereignty over the disputed waters of the call. At the same time, there is the South China Sea territorial disputes with China the Philippines again, so that has territorial claims of the parties to discuss how to clear demarcation of disputed and undisputed waters, resulting in the South China Sea to establish a "peace zone."
China: the introduction of external forces to help solve the South China Sea dispute
For the United States intends to pull into the South China Sea summit statement, the Chinese Foreign Ministry spokesman Liu Weimin, 17, once again stressed that China does not want to place the issue of the South China Sea to discuss multilateral occasions. He said China has always advocated the South China Sea disputes should direct the parties to resolve through negotiations and consultations, the introduction of external forces will not help in this goal, but to complicate, undermine China's sovereignty and rights of way, China will not accept. ASEAN as a whole, not a party to the South China Sea dispute, we do not want to place the issue of the South China Sea to discuss multilateral occasions.
Liu Weimin, 16, a routine press conference also said that China attaches great importance to and actively participate in East Asian cooperation, the spirit of enhancing mutual trust, deepen regional cooperation and promote the spirit of mutual benefit and win-win meeting. "Simply put, the Chinese delegation to unity and cooperation from the South China Sea issue is not in the agenda which we do not think it should be the agenda of the conference, the meeting will be the Samsung m50 Series battery introduction of controversial issues, themes and will only affect the cooperative atmosphere of mutual trust, damage hard-won in the region, the sound development of highly dynamic situation, which is detrimental. "
Liu Weimin said, "In fact, the South China Sea dispute between China and the countries concerned to maintain smooth communication, communication channels, and made a 'shelving disputes and seeking common development' initiative, we believe that China and the countries have the wisdom, ability properly handle disputes related to China and ASEAN countries have to implement "the South China Sea Declaration on the Conduct of Parties" follow-up action guidelines agree that the results should be cherished, the parties to strengthen pragmatic cooperation and enhance mutual trust. "
Expert: "freedom of navigation in the South China Sea issue" is a false proposition
Wang and Xia Liping are less common that the U.S. proposal of "freedom of navigation in the South China Sea issue" is a meaningless question. "Freedom of navigation in the South China Sea has not been hindered, China has never been opposed to free navigation." Xia Liping said the United States formally participated in the first East Asia Summit on the proposed South China Sea issue, but in reality is trying to South China Sea as a "return to Asia," the starting point to South China Sea to form the so-called "issue-based alliances." "The United States found that the line of sight to East Asia, Northeast Asia, the North Korean nuclear issue stalemate situation in the peninsula generally maintain calm on the surface; the Taiwan Strait, since Ma Ying-jeou took office, but also to ease cross-strait situation." Xia Liping said that as the most Asian countries there is a "double dependence", the United States can not form an "Asian NATO" and therefore, the South China Sea issue will go to the American eye, hoping to strengthen U.S. dominance in the Asia-Pacific region.
Wang Shao-Pu is that the U.S. is difficult to do with the South China Sea HP pavilion DV6 battery issue dominated the summit. "The U.S. proposal may have been echoed to some extent in some countries, but can not form in isolation, against China's situation." Wang Shao-Pu said that the U.S. policy toward China itself has two sides. The ASEAN countries made territorial claims in the South China Sea, only Vietnam, the Philippines, Malaysia and other countries, these countries and China are not only territorial disputes, but also have extensive common interests. Meanwhile, other ASEAN countries on the U.S. proposal, there are different views, to mobilize all of these countries to China to establish so-called encircling net, impossible. "In fact, ASEAN countries have had on the South China Sea issue had been discussed, many countries expressed the hope that China and ASEAN countries in accordance with the 2002 signing of the" Declaration on Conduct of Parties in the South China Sea "and the subsequent declaration of consensus on the proper implementation of the settlement of disputes."
While preparing for CAT I came across a very simple but good question.
I would like to discuss it here, with a completely mathematical approach. NO EXTRA BRAINS REQUIRED.
As somtimes the solutions of CAT Paper depict.
The question reads like this :-
In a college of 525 students , each student takes at least two items from among idly dosa puri and chapatti for his breakfast. If 375 students take idly , 375 students take dosa , 375 students take puri and 375 students take chapai for their breakfast. The number of students who take all the four items is at most how much ?
The question looks pretty easy but is slightly tricky.
We will come across 2 new things in this question.
1.) How do you represent a 4 dimensional Venn Diagram ?
2.) What is the deal with At most ?
It took me a little while to figure out the best way to make a venn diagram for 4 variables (Probably i should have instead looked into some algebra book, but i like it this way). It looks like above
All we need to keep in mind is that we need to cover all the possibilities. For example in a 3 variable venn diagram we need to cover possiblilties of the exitance of Single variable , Two - Intersection , Triple -Intersection . Keep this in mind and create your own inventive Venn diagram .
There are many ways to do it. However i did it in the way shown in the diagram above:-
Clearly the Idea is to include all possibilities. I represent the 4th variable in a square.And hence we see a new type of Venn diagram.
The presumption here is that , the 2-Intersection 3-Intersection and Standalone sections for each variable are equal(represented by a,b and c). In this case even if you assume all the intersections as different variables. You would end up proving them as same given the four 375s in the question. If you are smart enough start off from there.
Now the venn diagram has two sections . One under the square and one outside it.
The sum is 525. ( Notice the standalone "a" in the square. This represents the number of people who only take chapatti, which is assumed to be same as the number of people who take idly and so on. Similarly b is intersection of 2 variables and so on. )
In the second section under the square , we just change the positions of a b and c . Depending only and only on whether the region represents intersection of 2 variables or three. y is appearing only once, it represents the intersection of all the 4 variables . Similar to how the intersection of three variables appears only once in a three variable Venn Diagram.
Once we have drawn this Venn diagram :- The idea is fairly simple.
Just write equations and see where we go.
Clearly we can see 525=4a+6b+4c+y------------------------1
and 375=a+3b+3c+y -------------------------2
Adding the contents inside the square , or just add the contents in IDLY in both the adjacent diagrams, you must reach the same result as in equation 2.
The question clearly states a=0.
The question says The number of students who take all the four items is at most how much?
In Mathematical terms, all we need to do is maximize y. This is the point where you can completely forget what a,b and c stand for. Instead just see how and when y is maximum. The question boils down to this.
For these 2 equations In the meantime let us assume a is not 0(So that we understand equations better)
525=4a+6b+4c+y------------------------1
375=a+3b+3c+y -------------------------2
how can y be maximized.
Solving the equations :-
525=(a+3b+3c+y) +3a+3b+c
or 3a+3b+c=150.----------------3
Now we need to choose a,b and c in such a way such that y is maximized in equation 1 above.And 3 is satisfied.
Clearly we will look for options where one or two of these a,b and c are 0.Boundary conditions are checked with putting variables as either maximum or minimum.We want to maximize y. Which inturn means we want to minimize the other three variables. So we make them tend towards 0.
See All the options one by one.
Put a=0 and c=0
We get b=50 from (3)
Substitute this in either 1 or 2 we get y = 225.
Put a=0 and b=0
We get c=150 from (3)
Substitute this in either 1 or 2 we get y = -ve Value
Put c=0 and b=0
We get a=50
Substitute this in either 1 or 2 we get y = 325.
Now try the options by putting only one variable as 0
Put a=0-----------------------------4
You get 3b+c=150.
From Equation 2
y=225-2c (which is less than 225)
Put b=0
You get 3a+c=150
Substitute this in either 1 or 2 we get y = Non-Integer value.
Put c=0
You get 3a+3b=150
Substitute this in either 1 or 2 we get
y=225-2b (Less than 225)
In this qustion we were told a=0 so the solution is pretty straighforward . The answer is 225.Notice that if a was not 0,the answer would have been 325. This you can arrive also directly from equation 3 .When you put a=0 you directly reach equation 4
you get y=225-2c. In this simply put c=0. You get the answer.
Thats how you can solve 4-D Venn diagrams. With a little practice, you will not need such long calculation. You may directly write equations and solve them.
Does that seem wierd to you? I mean I know he's silly, but I didn't think he'd actually go to the shower and not use his shampoo and stuff, just because I said he smells good scent-free.
This was a long time ago, but it's been in my head a few times, along with some other things but I can't think of them right now. I can't find any information on any disorder it might be, maybe he's just silly.
He went back to using it after, but I still find it wierd he'd do that, just because I said that!
Thoughts?
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Hi John,
John is all meat, no fluff. 
Hey John,
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