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President Bush is right to stress the importance of math education for U.S. students, writes CISAC science fellow Jonathan Farley in the San Francisco Chronicle. Practical, urgent national security problems--like fighting terrorism--illustrate the need for more U.S. mathematicians, Farley says. These pressing needs may also be the key to enticing teachers and students to pursue the subject.

In his State of the Union address in January, President Bush stressed the importance of improving math education. He proposed to "train 70,000 high school teachers to lead advanced placement courses in math and science, bring 30,000 math and science professionals to teach in classrooms, and give early help to students who struggle with math."

But where will these teachers come from? And will the training of teachers be sufficient to increase the number of students choosing math and science careers? And why does all this matter?

Because mathematics is the foundation of the natural sciences. It is no coincidence that Isaac Newton, the man who formulated the law of gravitational attraction that revolutionized our understanding of the universe, was also the man who popularized the calculus. And the natural sciences, however pure, are what give us airplanes, cable TV and the Internet.

In the 2003 Program for International Student Assessment, a test that measures math literacy, American 15-year-olds performed worse than their peers in 23 countries, as well as those in Hong Kong. It's not hard to see why. According to the National Council of Teachers of Mathematics, 40 percent of the nation's middle school math teachers do not have the equivalent of an undergraduate minor in math. The average starting salary of a teacher is only $30,000, whereas the average starting salary for a recent college graduate in computer science or engineering is $50,000.

Short of following the British, who have proposed paying experienced math teachers more than $100,000, with a guaranteed minimum of $70,000, where will we find a way to attract the thousands of teachers George Bush wants?

New York State initiated an innovative program to bring teachers from Jamaica for two or four years to teach in New York schools. Jamaica, a developing nation where one U.S. dollar equals 65 Jamaican dollars, is nonetheless a stable, English-speaking nation with an unbroken democratic tradition; it stands poised to beat the United States in establishing the world's first Institute for Mathematical Methods in Counterterrorism. When teachers for the New York program were recruited on the campus of the University of the West Indies, recruiters found more experienced math and science teachers than they ever dreamed they would.

But you can have all the teachers in the world and still not inspire kids to learn math. My friend Autumn e-mailed me about her nephew, Joshua: "He's upset because he's asked several of the math teachers why math is important or what are certain formulas used for -- there has to be a use, correct?"

Autumn told her nephew about my work in counterterrorism and for the television crime drama "Numb3rs." Autumn reported, "He's told his math teachers about you as well, and about the show 'Numb3rs.' He's informing them that through something called lattice theory you are managing to fight terrorists -- all with math."

Mathematics is art, and should be appreciated for its beauty, not simply for its utility. But we cannot expect 11 year-olds to cherish totally order-disconnected topological spaces as much as professional mathematicians do.

As I first proposed in January 2005, television shows like "Numb3rs" (or "Medium") -- where the main characters are mathematicians -- could work with the National Council of Teachers of Mathematics to show kids how math is really used; the council and Texas Instruments are now working together to use "Numb3rs" to promote math literacy in schools.

Another way to inspire kids is to relate mathematics to something they see every day. In order to excite students and draw funding to his school, school superintendent Ronald Ross of Roosevelt, N.Y., has begun looking into the idea of creating a curriculum involving math and counterterrorism. What kinds of topics would students learn?

The opening line of the Oscar-winning movie "A Beautiful Mind" is "Mathematicians won the war." During World War II, the mathematics underlying cryptography played an important role in military planning. Winston Churchill admired Alan Turing, the mathematician who had mastered the German codes, recognizing him as the man who had perhaps made the single greatest individual contribution to defeating Hitler.

At Los Alamos, the lab that built the atomic bomb, Cliff Joslyn uses lattice theory to mine data drawn from thousands of reports of terrorist-related activity to discover patterns and relationships that were previously in shadow.

Lattice theoretical methods developed at MIT tell us the probability that we have disabled a terrorist cell, based on how many men we have taken out and what rank they hold in the organization. Lauren McGough, a Massachusetts high school student, tested the accuracy of this model by getting her classmates to pretend they were terrorists, passing orders down a fictitious chain of command, essentially confirming what the theory predicts.

High school students could learn algebra, trigonometry, calculus and logic while also learning concrete applications involving homeland security. No longer would students yawn and ask, "What is math good for?" Beauty could defeat both terror and boredom.

Whatever you may think of the State of the Union address, when it comes to supporting math education, we should all see pi to pi. President Bush is correct when he says that mathematics education in America must improve if the United States is to stay economically competitive, but the stakes are much higher than that. During the Cold War, the United States would not have tolerated a military gap between itself and its adversaries. Yet today, with 61 percent of all U.S. doctorates in math going to foreigners (15 percent to Chinese), we readily accept a "math gap."

Dollar for dollar, the best defense against our adversaries' weapons of mass destruction may be our allies in the Americas, armed with weapons of math instruction.

Improving math education is not merely a smart idea. It is a matter of national security. Algebra is one revolutionary Islamic concept we cannot afford to neglect or ignore.

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Since 2004, Dominic Martin has been Counsellor at the British Embassy Washington, responsible for Political and Public Affairs. Mr. Martin was educated at Oriel College, Oxford and joined the British Diplomatic Service in 1987. He has twice served in New Delhi, India (at the end of the 1980s and from 2001 until 2004), and also served in Buenos Aires, Argentina during the mid-1990s. Prior to this last posting in India, Mr. Martin co-coordinated the UK position in the negotiations on the enlargement of the European Union to include the countries from Central and Eastern Europe.

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Dominic Martin Counsellor Speaker the British Embassy Washington
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J Alexander Thier writes about the controversial case of Abdul Rahman, the 41-year-old Afghan who was facing the death penalty for converting from Islam to Christianity.

Divorce proceedings bring out the worst in people. When Abdul Rahman tried to get custody of his daughters in Kabul, Afghanistan, his wife's family told the court that he was unfit to care for his children because he had converted from Islam to Christianity some 16 years ago. A zealous prosecutor, hearing of the case, charged Mr. Rahman with apostasy, a crime punishable by death under some interpretations of Islamic law. If Mr. Rahman does not repudiate Christianity, the judge in the case has said, he will get the death penalty.

Mr. Rahman's case is a discouraging illustration of the uneasy balance between the democratic norms Afghanistan's Constitution enshrines and the conservative Islamic values its judiciary upholds. On the one hand, the Afghan Constitution states that "followers of other religions are free to exercise their faith and perform their religious rites within the limits of the provisions of the law," and it requires the state to adhere to the Universal Declaration of Human Rights, which clearly protects freedom of conscience and the right to change one's religion.

On the other hand, the Constitution also says that no law can be "contrary to the beliefs and provisions of Islam," and it gives judges broad power to interpret and apply Islamic law. Several schools of Islam do indeed prescribe the ultimate punishment for those who abandon the faith. And so Mr. Rahman's case may well come down to the interpretive leanings of the court.

Moderate Islamic jurists in some countries have attempted to balance or reconcile these often-conflicting interests. In Egypt, for instance, the Islamic Research Center decreed that although apostasy may be a crime, the time period for redemption is limitless - in other words, it is up to the individual, not the state, to adhere to divine will. The former chief justice of Pakistan, which has explicit anti-blasphemy laws, has written that the death penalty for apostasy is not required by the Koran and conflicts with other Islamic values.

Afghanistan's post-Taliban judiciary, however, has shown a propensity to use Islam as a political weapon. The country's chief justice, Fazil Hadi Shinwari, is a hard-line conservative associated with the Islamist parties of Abdul Rasul Sayyaf and Burhanuddin Rabbani. He has used the court as a bully-pulpit, issuing fatwas on a variety of issues outside his jurisdiction.

For instance, under Justice Shinwari's leadership the Supreme Court has variously attempted to ban co-education; tried to eliminate a rival to President Hamid Karzai from the 2004 elections; and jailed newspaper editors, all in the name of Islam.

In other words, the court has overstepped its bounds and contributed to the radicalization of Afghan politics in the process. To further his aims, Justice Shinwari has packed the lower courts with judges who have Islamic educations but no foundation in Afghan law or experience in the judiciary.

President Karzai has a unique opportunity to change this. Under the Constitution, Mr. Karzai must appoint a new Supreme Court this month, and he sent his slate of nine justices to Parliament for approval last week. Although the current chief justice has retained his position, there are some very promising choices among the eight other justices. They include known moderates, like the former chairman of the Judicial Reform Commission, Bahauddin Baha, and the deputy minister of justice, Qasim Hashimzai, who led a major corruption investigation involving members of President Karzai's cabinet.

These appointments mark President Karzai's first opportunity to compose Afghanistan's Supreme Court under a fully constitutional government. They are of momentous importance to the country's stabilization and the consolidation of its nascent democracy.

By creating a competent, professional and moderate judiciary, President Karzai will help to establish the rule of law. If, however, the court remains in the thrall of ideology and factionalism, Afghanistan's experiment in democracy will be compromised.

But the new judges will be powerless to reform the system unless they are given the political support and resources to do so. International involvement in Afghanistan's justice sector since 2001 has been inadequate. Both the Afghan government and its donors need a strategic vision for the judiciary's future and the political focus to make it a reality.

The new judiciary will need support to review the qualifications of the lower court judges, facilities to train new judges and functioning courthouses in the provinces. It will need to be able to share information, laws and legal decisions among officials throughout the country and to pay judges a living wage.

We must do more than simply react loudly to the most extreme cases, like that of Mr. Rahman. Instead, we must partner with the Afghans and other democratic governments in the Islamic world as they struggle to promote modernity and the rule of law. This means working with judicial systems on less controversial, bread-and-butter issues like criminal law and property disputes.

We have seen throughout the world, and in our own history, that competent and independent judges will stand up for the rule of law even when their decisions indict the powerful and defend the unpopular. Mr. Rahman's case should remind us of how important it is to help Afghanistan develop such judges if we want its democracy to succeed.

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Vitali Silitski
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Observers should not lament the "failure" of revolution but should hail the beginning of a genuine democratic movement, which is stronger today than it was just a few years ago.

There was no Orange-style revolution in Belarus following the 19 March presidential elections. But there may have been the beginning of a revolution of the spirit that will bring the last tyranny in Europe to an end. Observers should not lament the "failure" of revolution but should hail the beginning of a genuine democratic movement, which is stronger today than it was just a few years ago.

From the beginning of this campaign, there was little sign of a real contest. Lukashenka could have won a free and fair election: Strong economic growth and social stability might have guaranteed him half of the vote or so, had the vote actually been counted. But a free and fair vote carried the risk of defeat, however remote, and the ghost of the Orange Revolution in Ukraine in 2004 fueled hysteria within the regime. Consequently, just before the vote, the government criminalized opposition-related activity and began to arrest election monitors and activists from nongovernmental organizations on charges of terrorism.

Yet Lukashenka wanted some legitimacy for his reelection and therefore allowed opposition candidates to participate. Surprisingly, two challengers, the leader of the united opposition, Alyaksandr Milinkevich, and the former rector of the Belarusian State University, Alyaksandr Kazulin, refused to bow to the dictator and decided to play by their own rules. Their 30-minute campaign speeches on state TV (that is how much exposure to alternative opinions an ordinary TV viewer in Belarus has had in five years) were devoted not much to the issues but to attacking Lukashenka's character - an act previously unthinkable in a country where one official once declared Lukashenka to be "a bit higher than God." Both candidates emphasized freedom and democracy rather that day-to-day issues in their messages and found much sympathy, to the surprise of observers. Thousands turned out on the streets to hear speeches from opposition candidates, numbers that were unthinkable even in Minsk just a year ago.

Lukashenka saw the crowds as well and got nervous. Kazulin, whose particularly scathing attacks made him an instant celebrity, was beaten up by riot police. Dozens of observers and reporters were denied visas, expelled, or even arrested and charged with helping to plot a coup. State TV propped up its propaganda, and the KGB began to discover one plot after another every several days. In the last revelation, the head of the KGB claimed that the opposition would poison the tap water in Minsk using decomposing rats. And dozens of opposition activists with experience in street protests were rounded up in the run-up to the vote. Yet even in the face of these repressive tactics, Lukashenka's autocratic regime failed to deter people from mobilizing on the streets after the vote to denounce the fraudulent results.

On 19 March, at least 20,000 people took to the streets to protest the announcement of a "smashing" victory for Lukashenka, who was declared winner with 83 percent of the vote cast. And the protesters did not stop there, organizing an around-the-clock vigil on the central square of Minsk to demand annulment of the vote and new elections.

To be sure, the size of the protests was nowhere near the crowds that turned out in the streets in Kyiv a year and half ago. Yet thousands of Belarusians braved not only the blizzard but explicit threats of jail and even the death penalty made by the KGB on the eve of elections. Most of them faced immediate dismissal from state jobs or university if found in the crowd or even caught checking an opposition website. And they barely had means to communicate with each other due to suspension of most of the opposition press and an almost total blockade of the Internet and mobile communications. Could one have expected a protest of more than just a handful of dissidents in these, almost Soviet-style conditions?

SMALL VICTORIES

In retrospect, one has to admit that the protest was doomed. The opposition knew it did not win the elections and hence did not attempt to stage a revolution as such: that is, to attempt to snatch power from Lukashenka by force. Instead, the protest turned into a show of defiance, an attempt to get the sympathy and attention of fellow countrymen. Day after day, the numbers dwindled, not least because each new day brought the protesters closer to an imminent show of force by the government. It came on the morning of 23 March, when people on the square were surrounded and thrown into police trucks, then taken to jails and sentenced to various prison terms.

The dramatic end of the protest also highlighted an unpleasant fact for the Belarusian opposition: A combination of fear imposed by the government on one part society, and acceptance of the regime by another part, still limits its appeal and following. The streets of Minsk these days were full of pictures of solidarity and defiance, but also of indifference from passers-by and loathing for the protesters from the regime's supporters.

Lukashenka's opponents still have a long way to go to communicate their message to the entire society - and will have to do so in an even more repressive political climate than they have endured so far. But failures and disappointments shall not distract attraction from the opposition's successes in this campaign and afterward. It achieved unity and presented society with a leader whom many accepted as a credible alternative to Lukashenka. It invigorated the network of democratic activists, who braved certain repression and imprisonment. It spurred public debate, and the quest for free information was boosted even when the regime knocked out independent newspapers by the dozens. And it proved to the society and the entire world that support for democratic change in Belarus is not limited to just a handful of fanatics.

The March events may be the beginning of a newly invigorated fight for democracy in Belarus as much as it can trigger a new, more severe round of oppression from the regime. The West cannot stop paying attention. Those struggling for democracy, especially those already in jail, deserve our solidarity; families of political prisoners need support; and recently expanded democratic assistance programs, especially efforts to expand access to independent media within Belarus, must be sustained, not cut, now that the election is over.

Democrats in Belarus defied expectations and demonstrated that they exist, they have some popular support, and they are willing to take risks in their fight for freedom. Now, more than ever, supporters of freedom in the West need to stand with them.

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Gideon Maltz
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In an op-ed in the Baltimore Sun on March 13, the CDDRL fellow Gideon Maltz argues that the international community's strategy on Zimbabwe has failed, and suggests that it is time to focus international attention on the prospect of Zimbabwe's only genuine political opening in the years ahead: the exit of Mr. Mugabe.

It is time to acknowledge that the international community's strategy on Zimbabwe has failed.

Robert G. Mugabe's regime has survived even as the economy deteriorates further (unemployment is above 70 percent, and gross domestic product will decline another 7 percent this year) and personal freedom suffers greater assaults (the recent "drive out the rubbish" campaign left 700,000 people homeless).

Indeed, with the opposition Movement for Democratic Change (MDC) on the verge of collapse - following a bitter fight over whether to boycott the recent Senate elections and after years of sustained government pressure - the regime has a stronger grasp on power than ever. Doddering though he may be, Mr. Mugabe, who recently turned 82, has foiled the pressure of the United States and Britain and the quiet diplomacy of his neighbors in southern Africa.

Predictions of imminent change still crop up in Western newspapers on the occasion of every new crisis in Zimbabwe. But these predictions have not come to bear, and they likely will not. So long as Mr. Mugabe reigns, his Zimbabwe African National Union-Patriotic Front (ZANU-PF) regime will survive.

The international community tried to change things. It embarked on a strategy of concerted economic and diplomatic pressure to weaken the Mugabe regime, trying to force it to either back down or submit to the democratic opposition. It's clear that strategy has failed.

It is, therefore, time to focus international attention on the prospect of Zimbabwe's only genuine political opening in the years ahead: the exit of Mr. Mugabe, whether through retirement or death, which will leave the regime internally and externally vulnerable.

Internally, the ZANU-PF regime without Mr. Mugabe at the helm will be uniquely susceptible in an election. In sub-Saharan Africa, opposition candidates have won post-transitional elections only 5 percent of the time against incumbents but 33 percent of the time against regimes' designated successors.

The most important reason for that is the incumbent's exit removes the regime's glue. The regime fractures into competing factions and is left with a substantially reduced capacity to repress the political opposition and rig an election.

In Kenya, after President Daniel T. arap Moi, and in Ghana, after President Jerry J. Rawlings, the regimes did not - could not - resort to all the dirty tactics that they certainly would have used had the incumbents run. In turn, these political openings have tended to galvanize the fractured opposition to successfully cooperate.

A ZANU-PF that is deeply unpopular, badly fractured among ethnic groups and between moderates and hard-liners (the expulsion of the information minister, Jonathan Moyo, is the beginning) and facing a reinvigorated opposition will not likely be able to effectively rig elections, let alone win the popular vote.

It will be critical, then, that presidential elections be held within a year of Mr. Mugabe's exit, before the regime has too much time to consolidate. If Mr. Mugabe's exit does not occur within that window before the 2008 elections, then international, and particularly regional, pressure will be crucial in forcing early elections.

Externally, Mr. Mugabe's exit may prompt genuine regional pressure. Analysts have long emphasized that international pressure requires the support of Zimbabwe's neighbors - especially South Africa - that have significant political and economic leverage. But to the great frustration of Western governments, southern African countries have thus far refused to publicly challenge Mr. Mugabe.

Their reluctance has much to do with Mr. Mugabe's status as a hero of Zimbabwe's anti-colonial struggle and a champion of liberation struggles elsewhere. Southern African nations will have much greater political room to apply real pressure on Zimbabwe when its leader lacks such credentials.

Simultaneously, the prospect of an altogether different level of violence might shake the complacency of southern African nations. Zimbabwe's implosion has not, thus far, been entirely bad for its neighbors. They have benefited from the elimination of economic competition and from the influx of professionals, and they have retained confidence that Mr. Mugabe can keep control.

But there is a real danger, if a post-Mugabe Zimbabwe is not handled adroitly, that elements of the opposition, disaffected war veterans and youth militia and losers in the ZANU-PF factional battle will take up arms and plunge Zimbabwe into civil war.

This specter should push neighboring countries to step up their efforts, especially to press the post-Mugabe regime to hold new presidential elections and encourage moderate elements within ZANU-PF.

Notwithstanding its occasional fulminations against Zimbabwe, the United States has failed in its efforts to unseat Mr. Mugabe's regime. The United States should focus now on his eventual exit by helping the MDC to overcome its bitter infighting and engaging Zimbabwe's neighbors, especially South Africa, in vigorous diplomacy, pushing them to prepare for the occasion.

The stakes could not be higher, for if the post-Mugabe period is the first genuine opportunity for political change in Zimbabwe, it may also be the last for some time.

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In recent years "Muslim democracy" has emerged as a new political reality in a number of Muslim countries with open politics to define the role of Islam in democracy. Muslim democracy evokes the legacy of Christian Democratic parties of Europe in that it is an electoral platform that seeks to dominate the middle by integrating Muslim values into broader socioeconomic demands. Muslim democracy is not a platform for religious reform nor a theoretical construct, but rather the product of politics on the ground and the give-and-take of electoral politics. Muslim democracy has taken shape in the political process by Islamist parties such as Turkey's AKP, and non-religious parties such as Pakistan's PML. It provides a point of departure for discussing democratization and pragmatic change across the Muslim world, and in particular contending with outcome of recent elections in Iran, Iraq and the Palestinian territories.

Vali Nasr is Professor in the Department of National Security Affairs at the Naval Postgraduate School, Monterey.

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Vali Nasr Professor Speaker Naval Postgraduate School, Monterey
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George Habash, a militant and former secretary-general of the Popular Front for the Liberation of Palestine, once characterized terrorism as a "thinking man's game." Fighting terrorism is a thinking game, too, as illustrated by CISAC scholars Lawrence M. Wein and Jonathan Farley who use operations research and mathematics to devise rational methods for homeland security policy making.

George Habash, a militant and former secretary-general of the Popular Front for the Liberation of Palestine, once characterized terrorism as a "thinking man's game." Using mathematics, researchers at Stanford University's Center for International Security and Cooperation (CISAC) have made fighting terrorism a thinking man's game as well.

CISAC affiliate Lawrence M. Wein of the Graduate School of Business and CISAC Science Fellow Jonathan Farley are both applying mathematical models to homeland security problems, such as preventing a nuclear detonation in a major U.S. city and determining whether terrorist cells have likely been disrupted.

Wein, who teaches operations classes about different business processes used to deliver goods and services, has focused his research on bioterrorism and border issues. He has performed, he says, the first mathematical analyses of hypothetical botulism poisoning, anthrax outbreaks and smallpox infections.

"One overriding theme of my work is that all these homeland security problems are operations problems," said Wein, the Paul E. Holden Professor of Management Science. "Just as McDonald's needs to get hamburgers out in a rapid and defect-free manner, so too does the government have to get vaccines and antibiotics out and test the borders for nuclear weapons or terrorists in a rapid and defect-free manner."

In collaboration with Stephen Flynn of the Council on Foreign Relations, a nonpartisan research center, Wein recently has conducted research to improve security at U.S. borders and ports. Port security has received significant attention recently owing to the furor over Dubai Ports World's bid to manage six terminals at major U.S. harbors. The aim of Wein and Flynn's work is to prevent terrorists from bringing into the country a nuclear weaponbe it an atomic bomb or a so-called "dirty bomb," or conventional explosive packed with radioactive waste.

"Of all the problems I've studied, this is the most important because the worst-case terrorist scenario is a nuclear weapon going off in a major U.S. city and also it is the one the government has dropped the ball on the most," Wein said. "They have done a very poor job."

Instead of using the existing approach, where U.S. Customs actively inspects a minority of containers based on information from a specialized tracking system designed to identify suspicious containers, Wein and Flynn have recommended the government use a multi-layer, passive screening system for every container entering the country. Under their system, Customs would photograph a shipping container's exterior, screen for radioactive material and collect gamma-ray images of the container's contents. If terrorists shielded a bomb with a heavy metal such as lead to hide it from radiation detectors, gamma-ray imaging would allow inspectors to see the shielding and flag the container for inspection. Wein and Flynn believe this whole process would cost about $7 per container.

"Right now about maybe 6 percent of the containers are deemed suspicious and they will go through some testing and the other 94 percent of the containers just waltz right into the country without an inspector laying an eye on them," Wein said. "What we're proposing to do is 100 percent passive testing."

Wein's earlier work addressed a different threat: bioterrorism. In 2005, Wein revealed the nation's milk supply was vulnerable--a terrorist could potentially poison 100,000 gallons of milk by sneaking a few grams of botulinum into a milk tanker. Although the government and dairy industry have collaborated to intensify the heat pasteurization formula for milk, Wein is still pushing for additional botulinum testing, which he says would cost less than 1 percent of the cost of milk.

Wein also has used math to study smallpox outbreaks, the U.S. fingerprint identification system and U.S.-Mexico border security issues. Wein's congressional testimony on the fingerprint identification system in 2004 led to a switch from a two-finger system to a 10-finger system. His 2003 research on anthrax attacks resulted in a Washington, D.C., pilot program to use the U.S. Postal Service to distribute antibiotics throughout the capital after an outbreak. Seattle is now testing a similar program.

"In Washington, D.C., now, if there is a large-scale anthrax attack, postal workers will be the first to get their Cipro and, on a voluntary basis, they will go door-to-door distributing antibiotics," Wein said.

He said the common thread throughout his research is queuing theory, or the mathematical study of waiting lines, but he also draws upon mathematical epidemiology for his smallpox studies; air dispersion models for the anthrax model; supply chain management for the milk study; probability theory for the fingerprint identification system; and models for nuclear transport and detection for his work with containers.

From tainted lactose to lattice structures

While Wein is working on improving the government's counterterrorism systems, Jonathan Farley is working to figure out when terrorist organizations have been effectively disrupted. His mathematical model is designed to help law enforcement decide how to act once they have captured or killed a terrorist or a number of terrorists in a cell.

A professor at the University of the West Indies who will chair the Department of Mathematics and Computer Science there next year, Farley is on a one-year science fellowship at CISAC. In 2003, he co-founded Phoenix Mathematical Systems Modeling Inc., a company that develops mathematical solutions to homeland security problems.

He is using lattice theory--a branch of mathematics that deals with ordered sets--to determine the probability a terrorist cell has been disrupted once some of its members have been captured or killed.

"Law enforcement has to make decisions about what resources they should allocate to target different cells," Farley said. "The model should provide them with a more rational basis for allocating their scarce resources. ... It will inform you when you're making decisions about how much time and effort and how much money you're going to spend going after a particular cell."

While at Stanford, Farley hopes to unearth the perfect structure, mathematically speaking, for a terrorist cell--or in other words, a cell structure that is most resistant to the loss of members.

"If it's possible to determine the structure of an ideal terrorist cell, you can focus on a much smaller number of possibilities, because it makes more sense to assume the adversary is going to be smart rather than stupid," Farley said.

Farley has suggested it is possible Al-Qaida and other terrorist organizations already may have figured out the perfect structure for a terror cell by trial and error.

"I don't expect Osama bin Laden to be reading lattice theory in his caves in Afghanistan," said Farley. "But if it follows from the mathematics, perhaps heuristically, the terrorists will have come to the same conclusion--that this is the best way to structure a terrorist cell."

Although Farley acknowledges his model is not a panacea for terrorism, he hopes it will help reduce guesswork that might be involved in pursuing terrorists.

"It's not that I think mathematics can solve all of these problems," Farley said. "Because it can't. But it's better to use rational means to make decisions rather than guesswork."

John B. Stafford is a science-writing intern at Stanford News Service.

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One of the fundamental challenges facing the United States Department of Homeland Security is the determination of what is critical in critical infrastructure systems such as water, Internet, power, energy, and transportation. Current practice is focused on single-point security audits of things like power plants, airport terminals, and refineries. But this approach does not identify the most vital components of any infrastructure which leads to an inadequate strategy and wasted funding. We show that single-point audits lead to the wrong conclusions and do not provide sufficient national security relative to the effort and money being spent. Instead, we propose an approach similar to social network analysis whereby a critical infrastructure is modeled as a network and then analyzed to identify the critical nodes and links. We present models and software to analyze such networks to obtain optimal resource allocation such that network risk is minimized. In the parlance of network science, our approach extends the theory of scale free networks to incorporate damage estimates for nodes and links. By exploiting the structure inherent in a network, we are able to allocate resources in the most optimal manner, which leads to a fundamentally different strategy than currently practiced.

Rudolph Darken is the Director of the Institute for Modeling, and Simulation (MOVES) and an Associate Professor of Computer Science at the Naval Postgraduate School in Monterey, California. He is the Chair of the MOVES Curriculum Committee and is also the Associate Director for Research for the Center for Homeland Defense and Security. His personal research has been primarily focused on human factors and training using virtual environments and computer gaming media with emphasis on navigation and wayfinding in large-scale virtual worlds. He is a Senior Editor of PRESENCE Journal, the MIT Press journal of teleoperators and virtual environments. He received his B.S. in Computer Science Engineering from the University of Illinois at Chicago in 1990 and his M.S. and D.Sc. degrees in Computer Science from The George Washington University in 1993 and 1995, respectively.

Ted Lewis is Professor of Computer Science and Academic Associate of the Homeland Security curriculum at the Naval Postgraduate School. He served as Sr. Vice President of Eastman Kodak Company, President and CEO of DaimlerChrysler Research, North America, Editor-in-Chief (twice) of IEEE Computer magazine and IEEE Software magazine, and has authored more than 100 papers and 30 books over the past 35 years on subjects ranging from software engineering, parallel processing, to hi-tech business. Currently, he teaches the Critical Infrastructure Protection course at NPS and does research in the application of network science to strategy and policy questions for the US Department of Homeland Security. Dr. Lewis' textbook, "Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation" will be published by John Wiley & Sons, in April 2006.

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Rudolph Darken Director, Institute for Modeling and Simulation; Associate Professor of Computer Science Speaker Naval Postgraduate School
Ted Lewis Professor of Computer Science; Academic Associate of the Homeland Security Curriculum Speaker Naval Postgraduate School
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At a time of unusual US interest in south Asia it is useful to see how specialists there look at the two issues explored in this book -- the Kashmir conflict and south Asian nuclearisation. Twelve of the 15 contributors are US-based and therefore it is not surprising that the book is largely by Americans for Americans. But this does not detract from its value for Indians and Pakistanis, because the scholarship is impressive and analyses mostly free of bias. The volume contains 13 essays including a short introductory one by the editors. The remaining 12 are grouped into three parts.

The four essays in the first group (Pakistan: Politics and Kashmir) are "Islamic Extremism and Regional Conflict in South Asia" by Vali Nasr, "Constitutional and Political Change in Pakistan: The Military-Governance Paradigm" by Charles H. Kennedy, "The Practice of Islam in Pakistan and the Influence of Islam in Pakistani Politics" by C. Christine Fair and Karthik Vaidyanathan, and "Pakistan's Relations with Azad Kashmir and the Impact on Indo-Pakistani Relations" by Rifaat Hussain.

Vali Nasr provides a succinct account of how Islamic fervour and Islamic extremism grew in Pakistan after 1971 and how political players in the country, especially the army, tried to make use of it for domestic political and foreign policy gains. He provides a good analysis of how the Pakistani elite is torn between de-emphasising Islam for the sake of socioeconomic gains and stressing it for political advantage. In case of the army there is the additional factor of "jihadi" usefulness in pursuing regional strategic aims.

Charles Kennedy presents an interesting analysis of how the army captures power and holds on to it. He shows how Ayub Khan, Zia-ul-Haq and Musharraf have adopted essentially the same approach in this regard -- following the stages of making things legal, eliminating political opponents, becoming president, stressing local government, intimidating bureaucracy and judiciary, fixing the constitution and orchestrating elections. Two key observations he makes at the end are "the failure to develop a stable constitutional system is the fault of both Pakistan's military and civilian leadership" and that "constitutional stability can only be achieved if there is an accommodation between the interests of the two sets of actors."

Christine Fair and Karthik Vaidyanathan have tried to assess the influence of Islam in Pakistan partly on the basis of three polls conducted to gauge Muslim reaction to war against terrorism, and partly on the basis of interviews. Two noteworthy conclusions of the authors are that there is little popular support for extremist Islam in Pakistan (the good performance of MMA in the 2002 elections is rightly attributed to the political vacuum created by Musharraf and strong post-9/11 anti-Americanism), and that the Pakistan military's current effort to control, rather than eradicate, terrorism cannot work.

Rifaat Hussain has given a detailed account of India-Pakistan relations during 1979-2004, but his effort to explain Pakistan's relations with "Azad" J and K does not go beyond the little that is generally known. The lack of detailed, unbiased information about the society and politics of "Azad" J and K, which Pakistan pretends is not under its thumb, and of northern areas, which Pakistan has unabashedly incorporated into itself, is a major knowledge-gap that handicaps the search for peace in J and K.

The four essays in the second group (India: Politics and Kashmir) are "Who Speaks for India? The Role of Civil Society in Defining Indian Nationalism" by Ainslie T. Embrie, "Hindu Nationalism and the BJP: Transforming Religion and Politics in India" by Robert L. Hardgrave Jr., "Hindu Fundamentalism, Muslim Jihad and Secularism: Muslims in the Political Life of the Republic of India" by Barbara D Metcalf, and "Jammu and Kashmir in the Indian Union: Politics of Autonomy" by Chandrashekhar Dasgupta.

In his essay Ainslie Embrie has tried to explicate the complex relationship between the state and civil society in India. The tension and overlap between secular and Hindu nationalisms have been presented with deep understanding. The Gujarat massacres of 2002 have been explained in relation to the various constituents of the Sangh parivar. Indian attitudes to matters of sub-nationalism have been explained not only in relation to Kashmir but also to the north-east and Punjab.

Robert Hardgrave's essay covers much the same ground although the focus is more squarely on the BJP and the RSS. He speaks of sections within the RSS that want to align "Hindu" India with the west against Islam. At the same time he underscores how the demands of power have moderated the ideological temper of the BJP. Both Embrie and Hardgrave have written with western readers in mind and much of the ground they have covered would be familiar to Indians.

Barbara Metcalf's essay about Muslim Indians draws attention to the fact that the post-9/11 war against terrorism evoked no response from them, unlike the case with Muslims elsewhere. She has explained thoughtfully the reasons for this as well as for the rise in anti-Muslim sentiments in India from the 1980s. The contents of this essay can provide useful insights to Indians and Pakistanis. Metcalf warns that Hindu extremism can help recruit Muslim terrorists in Pakistan and Bangladesh and, in the long run, possibly within India itself. She also makes a case for declaring organisations like the VHP "terrorist" in the light of Gujarat killings.

Chandrashekhar Dasgupta's essay on J and K and autonomy is "balanced" by Indian standards. He writes that New Delhi should "accommodate Kashmiri demands for autonomy to the maximum extent compatible with the legitimate regional interests of Jammu and Ladakh and with the requirements of democracy and good governance in the state as a whole. The interests of Jammu and Ladakh can be protected by a mix of regional autonomy; devolution of power to lower (district, sub-divisional and panchayat) levels; and an equitable inter-regional revenue-sharing formula." But while offering this sound advice, Dasgupta has carefully steered clear of examining its practical implications.

The four essays in the final group (India's and Pakistan's Nuclear Doctrines and US Concerns) are "The Stability-Instability Paradox: Misperception, and Escalation Control in South Asia" by Michael Krepon, "Pakistan's Nuclear Doctrine" by Peter R. Lavoy, "Coercive Diplomacy in a Nuclear Environment: The December 13 Crisis" by Rajesh M. Basrur, and "US Interests in South Asia" by Howard B. Schaffer. In the reviewer's view, this is the most interesting of the three sections in the book and merits careful reading in both India and Pakistan.

Michael Krepon has explored the ramifications of the use of force by south Asia's nuclear-armed adversaries. He stresses the danger emanating from the two sides drawing (largely for public consumption, in the reviewer's view) opposing lessons from tests-of-will like the Kargil war and Operation Parakram. A useful point to note is how Krepon has, over the years, shifted stress from nuclear confidence building measures(CBMs) to conflict resolution in reducing nuclear risks in south Asia. This can be seen from the following sentences in his concluding paragraph: "Much could go badly wrong on the subcontinent unless Pakistan's security establishment reassesses its Kashmir policy and unless New Delhi engages substantively on Islamabad's concerns and with dissident Kashmiris" and "The best chance of defusing nuclear danger and controlling escalation lies in sustained and substantive political engagement." Nuclear CBMs can only do so much.

Nuclear Doctrine

Peter Lavoy's essay is a good piece on Pakistan's nuclear doctrine. He has listed eight separate "uses" for Pakistan's nuclear weapons. In specific relation to India, there are four, viz (i) Last resort weapons to prevent military defeat or loss of territory; (ii) Deterrent to conventional military attack; (iii) Facilitators of low-intensity conflict; and (iv) Tools to internationalise the Kashmir issue. He has drawn attention to the fact that Pakistan's nuclear "redlines" are vague which, the reviewer might add, is true of all countries that reserve the right of "first use."

Rajesh Basrur's essay is about the coercive and nuclear dimensions of Operation Parakram. His narrative of events, diplomatic moves and public statements is valuable for separating chaff from wheat. He has drawn attention to how much India's "compellence strategy" was played out through the US, which had forces in close vicinity. During the confrontation both India and Pakistan sought to "create a fear of nuclear war in the global community, especially the US". He also highlights the fact that India decided to withdraw its forces when Pakistan ceased "responding" to Indian pressure.

The book has no conclusion. The last essay is by Howard Schaffer on US interests in south Asia. Schaffer writes about how the relatively low US interest in the India-Pakistan hostile relationship began to climb in the 1980s when the threat of nuclear war entered the calculus. He says "The US has now come to regard Kashmir less in terms of the equities of the issue -- the lot of the Kashmiri people, the morality or immorality of the insurgency in the Kashmir Valley. Instead it sees the dispute primarily as a tinderbox that could be the flashpoint of a nuclear conflagration." He concludes his essay with the comment that "Washington's view of US interests in the region and the way it goes about promoting them" is unlikely to become more consistent than in the past. Both are valid observations and Indians and Pakistanis would do well to mull over their many implications.

It is not stated in the book, but this volume had its beginnings in a conference at the Asia-Pacific Research Centre in Stanford in early 2003. This was soon after Operation Parakram and before India-Pakistan relations began to thaw in late 2003. Although contributors have updated their narratives to mid-2004, the milieu in which the arguments have evolved was a period of considerable tension. The peace possibilities that have opened up in early 2004 and have got slowly augmented since have, therefore, not been adequately factored in. The book has avoided making any kind of prediction about peace prospects in south Asia although the very title of the book leads the reader to expect some exploration in this area.

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