Origami paper-folding may not seem like a subject for mathematical investigation or one with sophisticated applications, yet anyone who has tried to fold a road map or wrap a present knows that origami is no trivial matter. Mathematicians, computer scientists, and engineers have recently discovered that this centuries-old subject can be used to solve many modern problems.The methods of origami are now used to fold objects such as automobile air bags and huge space telescopes efficiently, and may be related to how proteins fold. Manufacturers often want to make a product out of a single piece of material. The manufacturing problem then becomes one of deciding whether a shape can be folded and if so, is there an efficient way to find a good fold? Thus, many origami research problems have to do with algorithm complexity and optimization theory. A testament to the diversity of origami, as well as the power of mathematics, is its applicability to problems at the molecular level, in manufacturing, and in outer space. For More Information: http://db.uwaterloo.ca/~eddemain/papers/MapFolding/

Archimedes was one of the most brilliant people ever, on a par with Einstein and Newton. Yet very little of what he wrote still exists because of the passage of time, and because many copies of his works were erased and the cleaned pages were used again. One of those written-over works (called a palimpsest) has resurfaced, and advanced digital imaging techniques using statistics and linear algebra have revealed his previously unknown discoveries in combinatorics and calculus. This leads to a question that would stump even Archimedes: How much further would mathematics and science have progressed had these discoveries not been erased? One of the most dramatic revelations of Archimedes. work was done using X-ray fluorescence. A painting, forged in the 1940s by one of the book.s former owners, obscured the original text, but X-rays penetrated the painting and highlighted the iron in the ancient ink, revealing a page of Archimedes. treatise The Method of Mechanical Theorems. The entire process of uncovering this and his other ideas is made possible by modern mathematics and physics, which are built on his discoveries and techniques. This completion of a circle of progress is entirely appropriate since one of Archimedes. accomplishments that wasn.t lost is his approximation of pi. For More Information: The Archimedes Codex, Reviel Netz and William Noel, 2007.

Archimedes was one of the most brilliant people ever, on a par with Einstein and Newton. Yet very little of what he wrote still exists because of the passage of time, and because many copies of his works were erased and the cleaned pages were used again. One of those written-over works (called a palimpsest) has resurfaced, and advanced digital imaging techniques using statistics and linear algebra have revealed his previously unknown discoveries in combinatorics and calculus. This leads to a question that would stump even Archimedes: How much further would mathematics and science have progressed had these discoveries not been erased? One of the most dramatic revelations of Archimedes. work was done using X-ray fluorescence. A painting, forged in the 1940s by one of the book.s former owners, obscured the original text, but X-rays penetrated the painting and highlighted the iron in the ancient ink, revealing a page of Archimedes. treatise The Method of Mechanical Theorems. The entire process of uncovering this and his other ideas is made possible by modern mathematics and physics, which are built on his discoveries and techniques. This completion of a circle of progress is entirely appropriate since one of Archimedes. accomplishments that wasn.t lost is his approximation of pi. For More Information: The Archimedes Codex, Reviel Netz and William Noel, 2007.

The music of most hit songs is pretty well known, but sometimes there are mysteries. One question that remained unanswered for over forty years is: What instrumentation and notes make up the opening chord of the Beatles. "A Hard Day.s Night"? Mathematician Jason Brown - a big Beatles fan - recently solved the puzzle using his musical knowledge and discrete Fourier transforms, mathematical transformations that help decompose signals into their basic parts. These transformations simplify applications ranging from signal processing to multiplying large numbers, so that a researcher doesn.t have to be "working like a dog" to get an answer. Brown is also using mathematics, specifically graph theory, to discover who wrote "In My Life," which both Lennon and McCartney claimed to have written. In his graphs, chords are represented by points that are connected when one chord immediately follows another. When all songs with known authorship are diagrammed, Brown will see which collection of graphs - McCartney.s or Lennon.s - is a better fit for "In My Life." Although it may seem a bit counterintuitive to use mathematics to learn more about a revolutionary band, these analytical methods identify and uncover compositional principles inherent in some of the best Beatles. music. Thus it.s completely natural and rewarding to apply mathematics to the Fab 4 For More Information: Professor Uses Mathematics to Decode Beatles Tunes, "The Wall Street Journal", January 30, 2009..

With 468 stops served by 26 lines, the New York subway system can make visitors feel lucky when they successfully negotiate one planned trip in a day. Yet these two New Yorkers, Chris Solarz and Matt Ferrisi, took on the task of breaking a world record by visiting every stop in the system in less than 24 hours. They used mathematics, especially graph theory, to narrow down the possible routes to a manageable number and subdivided the problem to find the best routes in smaller groups of stations. Then they paired their mathematical work with practice runs and crucial observations (the next-to-last car stops closest to the stairs) to shatter the world record by more than two hours!

Although Chris and Matt.s success may not have huge ramifications in other fields, their work does have a lot in common with how people do modern mathematics research

* They worked together, frequently using computers and often asking experts for advice;
* They devoted considerable time and effort to meet their goal; and
* They continually refined their algorithm until arriving at a solution that was nearly optimal.
Finally, they also experienced the same feeling that researchers do that despite all the hours and intense preparation, the project .felt more like fun than work.
For More Information: Math whizzes shoot to set record for traversing subway system,. Sergey Kadinsky and Rich Schapiro, New York Daily News, January 22, 2009.
Photo by Elizabeth Ferrisi.
Map New York Metropolitan Transit Authority.
The Mathematical Moments program promotes appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture.

A person needing a kidney transplant may have a friend or relative who volunteers to be a living donor, but whose kidney is incompatible, forcing the person to wait for a transplant from a deceased donor. In the U.S. alone, thousands of people die each year without ever finding a suitable kidney. A new technique applies graph theory to groups of incompatible patient-donor pairs to create the largest possible number of paired-donation exchanges. These exchanges, in which a donor paired with Patient A gives a kidney to Patient B while a donor paired with Patient B gives to Patient A, will dramatically increase transplants from living donors. Since transplantation is less expensive than dialysis, this mathematical algorithm, in addition to saving lives, will also save hundreds of millions of dollars annually. Naturally there can be more transplants if matches along longer patient-donor cycles are considered (e.g., A.s donor to B, B.s donor to C, and C.s donor to A). The problem is that the possible number of longer cycles grows so fast hundreds of millions of A >B>C>A matches in just 5000 donor-patient pairs that to search through all the possibilities is impossible. An ingenious use of random walks and integer programming now makes searching through all three-way matches feasible, even in a database large enough to include all incompatible patient-donor pairs. For More Information: Matchmaking for Kidneys, Dana Mackenzie, SIAM News, December 2008. Image of suboptimal two-way matching (in purple) and an optimal matching (in green), courtesy of Sommer Gentry.

A triple cork is a spinning jump in which the snowboarder is parallel to the ground three times while in the air. Such a jump had never been performed in a competition before 2011, which prompted ESPN.s Sport Science program to ask math professor Tim Chartier if it could be done under certain conditions. Originally doubtful, he and a recent math major graduate used differential equations, vector analysis, and calculus to discover that yes, a triple cork was indeed possible. A few days later, boarder Torstein Horgmo landed a successful triple cork at the X-Games (which presumably are named for everyone.s favorite variable). Snowboarding is not the only sport in which modern athletes and coaches seek answers from mathematics. Swimming and bobsledding research involves computational fluid dynamics to analyze fluid flow so as to decrease drag. Soccer and basketball analysts employ graph and network theory to chart passes and quantify team performance. And coaches in the NFL apply statistics and game theory to focus on the expected value of a play instead of sticking with the traditional Square root of 9 yards and a cloud of dust.

A triple cork is a spinning jump in which the snowboarder is parallel to the ground three times while in the air. Such a jump had never been performed in a competition before 2011, which prompted ESPN.s Sport Science program to ask math professor Tim Chartier if it could be done under certain conditions. Originally doubtful, he and a recent math major graduate used differential equations, vector analysis, and calculus to discover that yes, a triple cork was indeed possible. A few days later, boarder Torstein Horgmo landed a successful triple cork at the X-Games (which presumably are named for everyone.s favorite variable). Snowboarding is not the only sport in which modern athletes and coaches seek answers from mathematics. Swimming and bobsledding research involves computational fluid dynamics to analyze fluid flow so as to decrease drag. Soccer and basketball analysts employ graph and network theory to chart passes and quantify team performance. And coaches in the NFL apply statistics and game theory to focus on the expected value of a play instead of sticking with the traditional Square root of 9 yards and a cloud of dust.

No one can predict who will commit a crime but in some cities math is helping detect areas where crimes have the greatest chance of occurring. Police then increase patrols in these "hot spots" in order to prevent crime. This innovative practice, called predictive policing, is based on large amounts of data collected from previous crimes, but it involves more than just maps and push pins. Predictive policing identifies hot spots by using algorithms similar to those used to predict aftershocks after major earthquakes. Just as aftershocks are more likely near a recent earthquake.s epicenter, so too are crimes, as criminals do indeed return to, or very close to, the scene of a crime. Cities employing this approach have seen crime rates drop and studies are underway to measure predictive policing.s part in that drop. One fact that has been determined concerns the nature of hot spots. Researchers using partial differential equations and bifurcation theory have discovered two types of hot spots, which respond quite differently to increased patrols. One type will shift to another area of the city while the other will disappear entirely. Unfortunately the two appear the same on the surface, so mathematicians and others are working to help police find ways to differentiate between the two so as to best allocate their resources.

James Sethian and Frank Morgan talk about their research investigating bubbles.

Muthu Alagappan explains how topology and analytics are bringing a new look to basketball.

Michael Trick talks about creating schedules for leagues.

Lydia Bourouiba talks about surface tension and the transmission of disease

Researcher: Christopher Butson, Scientific Computing and Imaging Institute, University of Utah. Christopher Butson talks about work he's done to help treat Parkinson's disease.

Researcher: Cristina Stoica, Wilfrid Laurier University
Description: Cristina Stoica talks about celestial mechanics.

Researcher: Annalisa Crannell, Franklin & Marshall College. Annalisa Crannell on perspective in art.

Researcher: Konstantin Batygin, Caltech
Description: Konstantin Batygin talks about using math to investigate the existence of Planet Nine.

Researcher: Andy Andres, Boston University Moment: http://www.ams.org/samplings/mathmoments/mm136-baseball.pdf Andy Andres on baseball analytics.

Researcher: Jordan Hashemi, Duke University Description: Jordan Hashemi talks about an easy-to-use app to screen for autism.

euromicron AG, a medium-sized technology group and specialist for networking business and production processes, has taken on Funkwerk AG, Kölleda, as a strategic anchor investor. Funkwerk AG is a leading provider of innovative communication, information and security systems and intends to acquire a total of up to around 28% of euromicron AG’s increased share capital following the implementation of the resolved capital measures.

Dear Shareholders, As Chairwoman of the Supervisory Board, I am contacting you personally today in advance of the Annual General Meeting to ask for your continued trust and support.

Final half-year figures equivalent to the published figures EUR 3.8 million increase in EBITDA (before IFRS 16) shows improved quality of the margin Forecast for 2019 as a whole confirmed euromicron AG, a medium-sized technology group and specialist for the digital networking of business and production processes, published its report for the first half of 2019 today.

euromicron AG, a medium-sized technology group and specialist for the digital support of business processes through secure infrastructures, is pooling its digital expertise at KORAMIS GmbH, the group subsidiary that specializes in cyber security and automation. With focus on digital platforms and services KORAMIS’ portfolio will also cover the areas Smart IoT, Smart Building as well as Data Management in the future. For this step the management of KORAMIS GmbH was extended by Andreas Schmidt.

euromicron AG, a medium-sized technology group and expert on digital networking of business and production processes, held its Annual General Meeting 2019 in Frankfurt/Main on August 29, 2019. 42 percent of the share capital was represented. At the Annual General Meeting, the Executive Board reported on the operating performance in fiscal year 2018 and in the first half of 2019 and gave an outlook on the current fiscal year. One focus was on the implementation of the measures initiated to focus on and further develop the business model.

Final numbers for the first nine months match previously published figures Development of consolidated sales due to order postponements behind plan EBITDA (before IFRS 16) of €2.0 million and so slightly up year over year Capital increase completed successfully in the third quarter of 2019 Guidance for the whole of 2019 adjusted

THERE'S nothing like the sweet taste of victory, especially when it's long in coming.

With less than two months to go before the start of the World Youth Netball Championships (WYNC),

In-form American sprinter, Michael Rodgers, ran a world-leading 9.94 seconds and there were no Caribbean

Water scarcity, a socio-environmental threat to anthropogenic activities and ecosystems alike, affects large regions of the globe. However, it is often the most vulnerable and disadvantaged populations that suffer the severest consequences, highlighting the role of economic and institutional factors in water scarcity. In this way, researchers generally consider not only the physical constraints but socio-economic determinants as well.

Fishery collapses can be difficult to forecast and prevent due to hyperstability, a phenomenon where catch rates remain high even as fish abundance declines. In a recent Canadian Journal of Fisheries and Aquatic Sciences study, researchers conducted a whole-lake experiment to reveal the causes of hyperstability in recreational fisheries. Fish habitat preferences were found to leave them vulnerable to overexploitation.

In a ground breaking study, an international team of 21 scientists led by Sean Hoban, Ph.D., Conservation Biologist at The Morton Arboretum in Lisle, Illinois, evaluated five genera spanning the plant tree of life (Hibiscus, Magnolia, Pseudophoenix, Quercus and Zamia) to understand how much genetic diversity currently exists in collections in botanical gardens and arboreta worldwide.

A new way of looking at marine evolution over the past 540 million years has shown that levels of biodiversity in our oceans have remained fairly constant, rather than increasing continuously over the last 200 million years, as scientists previously thought.

Do biodiversity losses aggravate transmission of infectious diseases spread by animals to humans? The jury is still out but several scientists say there is a "biodiversity dilution effect" in which declining biodiversity results in increased infectious-disease transmission.

Rampant deforestation, uncontrolled expansion of agriculture, infrastructure development and exploitation of wild species have created a 'perfect storm' for the spillover of diseases from wildlife to people.

Jiuzhaigou National Nature Reserve is one of China's most popular tourist attractions, drawing more than five million visitors per year to the sparsely populated mountains of north-western Sichuan. The reserve has been home to farmer-herders for thousands of years, but to conserve the biodiversity and scenic quality of the reserve, park policies prohibit residents from farming, herding and wood cutting.

Sovereign nations typically measure economic success in terms of GDP (income) but this approach is risky as it fails to track and measure the impact of this on nature. Inclusive wealth, on the other hand captures financial and produced capital, but also the skills in our workforce (human capital), the cohesion in our society (social capital) and the value of our environment (natural capital).

In these unusual and tragic times, I am indeed grateful that we are able to connect virtually to continue the business of environmental governance. While the efforts of all your capitals are correctly focused on preventing human suffering, as parts of the world move slowly towards recovery, the environmental agenda remains one of our most powerful insurance policies in preventing future global pandemics like COVID-19.

Tropical rainforests are the world's richest land habitats for biodiversity, harbouring stunning numbers of plant and animal species. The Amazon and the Congo basins, together with Asian rainforests, represent only 6 per cent of earth's land surface, and yet more than 50 per cent of global biodiversity can be found under their shade.

When did you last see a glow worm? Most likely, quite some time ago. Depending on how young you are, you may have never seen one at all. Those light-emitting insects, Wordsworth's "earthborn stars", have been declining in the UK for decades. That means that scientists now see them in fewer places, and even in those pockets where conditions are right for them, there are fewer of them to be found.

And against the backdrop of threatened lives, crippled businesses and damaged economies, the UN chief warned the Petersberg Climate Dialogue in Berlin that the Sustainable Development Goals (SDGs) are also under threat.

Ordinary citizens felt like they had been sold a bill of goods. They were right to feel conned.