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Kashmiri veterinarian finds solution to mathematical problem

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Kashmiri veterinarian finds solution to mathematical problem

Published: Tuesday, December 5, 2006, 9:21 [IST]

Srinagar, Dec 4 (UNI) A Kashmiri veterinarian has succeeded in finding a solution to a long-standing mathematical problem and come up with a new theorem.

Dr Shabir Ahmad Mir, a Professor and Head, Division of Veterinary Pharmacology and Toxicology, Faculty of Veterinary Sciences, Sher-i-Kashmir University of Agricultural Sciences and Technology (SKUAST), has devised ''Mir's Trinomial Expansion Theorem'' that precisely determines an rth term and other functions related to the trinomial expansion.

The theorem introduces Exponent Array Model (EAM) with set of equations that permit hierarchial arrangement of expanded terms for precise location on an rth term.

The work has been published in the September 2006 issue (Volume LXIV, Number 1-2) of the journal of Mathematika Sciences Society of India titled Pure And Applied Mathematika Sciences.

In the paper, Mir explains that Binomial Expansion Theorem is well known and finds place in nearly all mathematical textbooks.

The theorem is employed to expand any binomial function of order n i.e. (+ a + b)*n, and to precisely determine rth term with its coefficients, he adds.

However, Mir says such a technique did not exist for expansion of a trinomial function of order n i.e. (+ a + b + c)An, nor there has been any technique to determine precisely rth term.

At present, the practice is to use Binomial theorem to expand any trinomial function by reducing the trinomial to a binomial form, the paper says.

However, the procedure to do so is very cumbersome, indirect and puts expanded secondary terms in a haphazard order thereby jeopardising precise location of an rth term for the trinomial function, says Mir.

Thus, a need to develop an effective and direct technique for expansion of a trinomial function was mooted, the paper adds.

UNI AG YA ND1402

Read more at: http://www.oneindia.com/2006/12/04/...ution-to-mathematical-problem-1165290708.html
 
WEB DESK: Pakistan has been fortunate in producing some of the best minds in the world today. Despite odds generation after generation have dwelled into education and has received accolades from around the globe.

Haris Aziz, is one such bright Pakistani from LUMS, previously making the country proud when his name was published, this year in the Institute of Electrical and Electronics Engineering’s (IEEE) ‘AI’s 10 to Watch” list, is back in the news, this time it is for solving one the biggest Mathematics problem of recent times.

According to The Sydney Morning Herald, Haris Aziz, currently a senior researcher at New York University (NYU) and Simon Mackenzie fellow Phd student at the NYU have solved what’s been termed “one of the most important open problems in 20th-century mathematics” i.e. how to cut a cake so that each person ends up with a fair share for any number of people.

In other words it is the popular Mathematics “Game theory.”

Their solution has been called a “major breakthrough” by Professor Steven Brams at New York University,

“We hope that our new algorithm opens the door for simpler and faster methods of allocation. One day, problems such as allocating access to a telescope among astronomers or the fair distribution of scarce water resources could be made very easy,” Dr Haris Aziz said.

In 2015, Dr Haris Aziz and PhD student Mr Mackenzie while working on the field of fair allocation, published a solution for envy-free allocation of an object (which could be anything e.g. a cake) among four agents. The solution could prove to be valid for 4 to 203 cuts of the cake.

However, Dr. Aziz and Mr. Mackenzie didn’t stop there and have now published an algorithm for “any” number of agents.

Dr Haris achievement has been praised by mathematician community. Ariel Procaccia, another researcher at Carnegie Mellon University in Pittsburgh told the Herald, “I was convinced that a bounded, envy-free cake-cutting algorithm [did] not exist. So the breakthrough result of Aziz and Mackenzie is nothing short of amazing. It is a beautiful piece of mathematics.”

The paper, which is yet to be peer reviewed. However, Professor Brams said that the “results look solid”

Interesting
 
Interesting, respect to the kashmiri brother and the chap from LUMS
 
Another Kashmiri who makes his community proud:

Rajesh Razdan, Founder & CEO, mCarbon Tech Innovation Pvt. Ltd.


Rajesh Razdan founded mCarbon in early 2008, to create a compelling platform based offerings for Telco's to maximize revenues in the areas of usage and retention, customer life cycle and value management. An industry veteran of 16 years, his vision is to support global Telco's through technology based offerings to help them upsell and cross sell more enabling continuous usage and return based business models. In his present capacity as CEO, he steers mCarbon's strategic vision, corporate development and operations. In the past, Rajesh has served as a member of solution sales team at Nokia Siemens and handled APAC and India region. Formerly, he has held senior positions with leading Telecom Organizations including KPN International Consulting, Ericsson, and Roamware wherein he worked across business development, product management.

- See more at: http://www.nasscom.in/rajesh-razdan-founder-ceo-mcarbon-tech-innovation-pvt-ltd#sthash.j1V1EqtV.dpuf
 
Now the mention of probably the most famous Kashmiri in the world.

Neel Kashkari was chosen to be interim Assistant Secretary of the Treasury for Financial Stability from October 2008 to May 2009. He oversaw the Troubled Asset Relief Program (TARP) that was a major component of the U.S. government's response to the financial crisis of 2007–08.

He graduated in 1991 with honors in Mathematics and was elected graduation speaker.

Kashkari earned bachelor’s (1995) and master’s (1998) degrees in mechanical engineering from the University of Illinois at Urbana–Champaign. He was the team leader for the mechanical engineering component of the school's entry in the 1997 Sunrayce, a solar-powered vehicle race.

Kashkari has also worked for NASA developing technology for space missions.
 
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It is said, “If you are a Kashmiri, you are either a doctor or an engineer.”

The saying is corroborated by actual survey of people of this community!! For instance if you look for doctors among general users of Facebook it takes a long while to come across one. But if you type any Kashmiri surname, then the frequency of stumbling upon doctors becomes abnormally high.

For instance when I used the surnames Sapru, Dadroo, Razdan, Kachroo, miraculously I didn’t have to check many people having those names. I quickly found doctors with those names.

And the Kachroo I mentioned above was neither the one who was in news in 2009 (ragging death at Tanda Medical College) nor his father.

Also former CM of Kashmir, Farooq Abdullah is a doctor. And it should be remembered that he became eligible for medical education and probably even completed graduation before 1960.

Imagine if Kashmir's education system had not collapsed due to whatever reason in 1990s, how many Kashmiri doctors would have emerged and how many would have gone on to become clinical researchers.

It is not for nothing that separatist leader Yasin Malik had said, "Militancy in 1990s had attracted very talented Kashmiri youth who later lost their lives."
 
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Now the mention of probably the most famous Kashmiri in the world.

Neel Kashkari was chosen to be interim Assistant Secretary of the Treasury for Financial Stability from October 2008 to May 2009. He oversaw the Troubled Asset Relief Program (TARP) that was a major component of the U.S. government's response to the financial crisis of 2007–08.

He graduated in 1991 with honors in Mathematics and was elected graduation speaker.

Kashkari earned bachelor’s (1995) and master’s (1998) degrees in mechanical engineering from the University of Illinois at Urbana–Champaign. He was the team leader for the mechanical engineering component of the school's entry in the 1997 Sunrayce, a solar-powered vehicle race.

Kashkari has also worked for NASA developing technology for space missions.

Interim Assistant Secretary Neel Kashkari Remarks on Implementation of the Emergency Economic Stabilization Act

11/19/2008

hp-1281

Washington- Good afternoon. Thank you, Faith, for that kind introduction. I have really enjoyed working with you over the past year. You are doing an excellent job leading HOPE NOW, getting servicers who are fierce competitors by day, to work together and with counselors toward the common goal of foreclosure prevention. The organization of Women in Housing and Finance is fortunate to have you as their President-Elect.

It is an honor for me to be here. Rather than give a long, formal speech, I would like to use this unique opportunity to do something a little different. I would like to give you a brief overview of our response to the credit crisis, and then spend most of the time taking your questions and having a thoughtful discussion.

The Treasury, the Federal Reserve and regulators in the U.S. and abroad have taken numerous unprecedented actions since the beginning of the crisis to reduce systemic risk and stabilize financial markets. Throughout the crisis, we have been strongly encouraging financial institutions to raise capital and to recognize losses. We have worked hard to adapt our policies to the rapidly changing circumstances on the ground.

Secretary Paulson and Chairman Bernanke recognized early that there may come a time when the private markets would become unwilling to provide the necessary capital to our financial system to deal with the large expected losses from the housing correction. In such a scenario, only the Federal government would be in a position to support the financial system – to step in to provide the needed capital to prevent collapse. Government intervention was not our first choice, as it often has unintended, far-reaching consequences.

We evaluated numerous alternatives and focused on a program to buy illiquid mortgage assets in very large scale to attract private capital to recapitalize our financial system.

We all hoped it would not come to this, but recognized the possibility and began contingency planning in early 2008.

In late summer, after the failure of Bear Stearns, the crisis intensified and our financial institutions came under even more pressure from deteriorating market conditions and the loss of confidence. In a very short period of time, some of our largest financial institutions failed or changed structure. In July, IndyMac bank failed. In the month of September alone, we witnessed the following: conservatorship of Fannie Mae and Freddie Mac, the sale of Merrill Lynch to Bank of America, the bankruptcy of Lehman Brothers, the rescue of AIG by the Fed, the conversion to bank holding companies by Morgan Stanley and Goldman Sachs, the distressed sale of Wachovia, and the failure of Washington Mutual.

As a result, in September, credit markets effectively froze. The commercial paper market shut down, 3-month Treasuries dipped below zero, and a money market mutual fund "broke the buck" for only the second time in history, precipitating a $200 billion net outflow of funds from that market.

Recognizing the threat to our financial system, Secretary Paulson and Chairman Bernanke knew the time had come and on September 18, they went to the Congress to ask for unprecedented authority to prevent a collapse of our financial system. Congress recognized the threat that frozen credit markets pose to the economy and to every American. Just two weeks later, on October 3, the Congress passed and President Bush signed into law the Emergency Economic Stabilization Act of 2008. We worked hard with the Congress to build tremendous flexibility into the legislation because the one constant throughout the credit crisis has been its unpredictability.

In our discussions with the Congress, we focused on our initial plan to purchase illiquid mortgage assets. In the two weeks between the time we submitted the draft legislation and the time the bill passed, credit markets deteriorated more quickly than we had expected. One key measure we looked at was LIBOR-OIS spread – a measure of perceived credit risk in the financial system. Typically, 5 – 10 basis points, on September 1, the one month spread was 47 basis points. By the 18th, when we first went to Congress, the spread had climbed 88 basis points to 135 basis points. By the time the bill passed, just two week later on October 3, the spread had climbed another 128 basis points to 263 basis points.

It was clear to Secretary Paulson and Chairman Bernanke, we needed to use the authority and flexibility granted under the EESA as aggressively as possible to quickly stabilize the system. We began immediately designing a capital program in addition to our asset purchase programs. We believed that purchasing equity in healthy banks would be the fastest way to inject much-needed capital into the financial system and restore confidence, which would restore the flow of credit. Illiquid asset purchases, which would take longer to implement, would follow.

Meanwhile, credit markets continued to deteriorate. On October 10, LIBOR-OIS spread had risen another 75 basis points to 338 basis points. So, four days later, on October 14, when our Capital Purchase Program was ready, we announced a plan to invest up to $250 billion in banks and savings institutions of all sizes, in combination with a guarantee of senior bank debt by the FDIC. These combined actions were taken to prevent a collapse of the financial system. We believe these actions were successful.

At the same time, we continued working hard on our illiquid asset purchase programs. We were keenly aware that, while $700 billion is a large sum of money, it is a finite amount. We needed to use the available funds to provide the maximum benefit to the system, while leaving enough dry powder to deal with contingencies. Throughout the process, we carefully monitored how the markets were responding to our actions and conditions in the broader economy. We asked ourselves: Would banks apply for the capital? Would credit markets respond? What was happening in the economy?

We were pleased that healthy banks of all sizes were signing up for the capital program and credit markets were showing signs of thawing. But the economic indicators were less positive. On October 31, data on third quarter GDP showed negative 0.3 percent growth. In addition, data released on October 28 showed that through August, home prices in 10 major cities had fallen 18 percent over the previous year.

It became clear we may need additional capital for both banks and non-bank financial institutions. To prevent the collapse of the financial system, we also had to restructure the Federal Reserve's loan to AIG, using $40 billion of TARP funds. With about half the original $700 billion available for asset purchases, would such a program still be the best approach? For an asset purchase program to be effective, it must be done in very large scale.

While we have taken actions to stabilize the banking sector, supporting the non-banking market is also important to helping consumers, businesses and our economy get the credit they need. The consumer securitization market appears to be a promising opportunity. This would help bring down rates of auto loans, credit cards and student loans and could be achieved with a more modest allocation from the TARP. And although we are not currently planning to initiate another capital program beyond those already announced, an emphasis on additional capital seems to us to be an appropriate focus today.

The EESA is not an economic stimulus plan, nor is it an economic growth plan. It was designed to stabilize the financial system. Today, the LIBOR-OIS spread has fallen 238 basis points from its peak to 100 basis points. We believe the combined actions of Treasury, the Federal Reserve and FDIC have stabilized the financial system and prevented a financial collapse. Nonetheless, the current crisis took years to build up and will take time to work through, and we still face some real economic challenges.

We will remain focused on ensuring the stability of the financial system and have begun working with our successors as we transition to the next Administration. With that brief overview, I would be happy to take your questions.

https://www.treasury.gov/press-center/press-releases/Pages/hp1281.aspx
 
Aik ye Mir hey aur aik Hamid Mir and Mir Shakeep hey (▼へ▼メ)
 
Question: This is in the context of Kashmiri separatism. Despite having so much science talent, why do Kashmiris seem to stick to old failed strategies of joining militancy in hordes and stone-pelting? It is understandable if it went on for 1 or 1.5 decades. But now 26-27 years have passed without yielding results. Still they are not showing signs of changing their habits. Why have they still not started doing something new and different?

Answer: There are several reasons.

Firstly, take the example of Bengal’s role in the struggle for independence from British. Bengal too had science talent and fought hard for independence. The Bengali community produced many great scientists and also produced many fierce freedom fighters. But their methods too were unscientific and ineffective. For any innovative methods to materialize on such a massive scale, there probably has to be proper organization. Independence movements are usually disorganized and anarchic.

Secondly, there are other minor reasons – albeit not the primary ones. Separatist leader Yasin Malik had said, "Militancy in 1990s had attracted very talented Kashmiri youth who later lost their lives." It happened when those Kashmiris had not attained maturity and their impulsive behaviors made them take foolish decisions. So the best of at least that generation of Kashmiris were almost finished. The cream was wiped out. So the best of the community’s minds weren’t left to carry on the freedom struggle.

Thirdly, there are some (like @Bharat Muslim) who suggest that the Kashmiri separatism isn’t real in the first place. They allege that the militancy in Kashmir is orchestrated by Indian intelligence itself. There is lack of interest in Kashmiri populace about this whole business and hence they are not giving their best.
 
Neel-kashkari.jpg
 
That wasn't really necessary. Its the age of computers. A program can be written that will generate the rth term of any n-nomial.
 

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