Mathematics , the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has

The Mathematics of Juggling | Quanta Magazine

Mathematics , the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter. Since the 17th century, mathematics has been an indispensable adjunct to the physical sciences and technology, and in more recent times it has assumed a similar role in the quantitative aspects of the life sciences.

In many cultures—under the stimulus of the needs of practical pursuits, such as commerce and agriculture—mathematics has developed far beyond basic counting. This growth has been greatest in societies complex enough to sustain these activities and to provide leisure for contemplation and the opportunity to build on the achievements of earlier mathematicians.

All mathematical systems (for example, Euclidean geometry ) are combinations of sets of axioms and of theorems that can be logically deduced from the axioms. Inquiries into the logical and philosophical basis of mathematics reduce to questions of whether the axioms of a given system ensure its completeness and its consistency. For full treatment of this aspect, see mathematics, foundations of .

Gourley says that mathematics can help predict the timing and size of attacks in certain types of war, regardless of where, and why, these attacks are taking place.

Sean Gourley : When we sat down and looked at a conflict like Iraq, we saw that there were very strong mathematical patterns in size of attacks. And then when we looked at a conflict in a different part of the world, fought for different reasons, like Colombia, these same mathematical signatures were emerging again.

Sean Gourley of the University of Miami is a PopTech science fellow for 2010. He’s talking about what some have called “the mathematics of war.” His work – published in the journal Nature – suggests that mathematics can help predict the timing and size of attacks in certain types of war – those in which an insurgent group is trying to overthrow an authority power – regardless of where, and why, these attacks are taking place.

Mathematics , the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter. Since the 17th century, mathematics has been an indispensable adjunct to the physical sciences and technology, and in more recent times it has assumed a similar role in the quantitative aspects of the life sciences.

In many cultures—under the stimulus of the needs of practical pursuits, such as commerce and agriculture—mathematics has developed far beyond basic counting. This growth has been greatest in societies complex enough to sustain these activities and to provide leisure for contemplation and the opportunity to build on the achievements of earlier mathematicians.

All mathematical systems (for example, Euclidean geometry ) are combinations of sets of axioms and of theorems that can be logically deduced from the axioms. Inquiries into the logical and philosophical basis of mathematics reduce to questions of whether the axioms of a given system ensure its completeness and its consistency. For full treatment of this aspect, see mathematics, foundations of .

Mathematics , the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation, and its development has involved an increasing degree of idealization and abstraction of its subject matter. Since the 17th century, mathematics has been an indispensable adjunct to the physical sciences and technology, and in more recent times it has assumed a similar role in the quantitative aspects of the life sciences.

In many cultures—under the stimulus of the needs of practical pursuits, such as commerce and agriculture—mathematics has developed far beyond basic counting. This growth has been greatest in societies complex enough to sustain these activities and to provide leisure for contemplation and the opportunity to build on the achievements of earlier mathematicians.

All mathematical systems (for example, Euclidean geometry ) are combinations of sets of axioms and of theorems that can be logically deduced from the axioms. Inquiries into the logical and philosophical basis of mathematics reduce to questions of whether the axioms of a given system ensure its completeness and its consistency. For full treatment of this aspect, see mathematics, foundations of .

Gourley says that mathematics can help predict the timing and size of attacks in certain types of war, regardless of where, and why, these attacks are taking place.

Sean Gourley : When we sat down and looked at a conflict like Iraq, we saw that there were very strong mathematical patterns in size of attacks. And then when we looked at a conflict in a different part of the world, fought for different reasons, like Colombia, these same mathematical signatures were emerging again.

Sean Gourley of the University of Miami is a PopTech science fellow for 2010. He’s talking about what some have called “the mathematics of war.” His work – published in the journal Nature – suggests that mathematics can help predict the timing and size of attacks in certain types of war – those in which an insurgent group is trying to overthrow an authority power – regardless of where, and why, these attacks are taking place.

Seven years ago, the combined wealth of 388 billionaires equaled that of the poorest half of humanity, according to Oxfam International. This past January the equation was even more unbalanced: it took only eight billionaires, marking an unmistakable march toward increased concentration of wealth. Today that number has been reduced to five billionaires.

Trying to understand such growing inequality is usually the purview of economists, but Bruce Boghosian, a professor of mathematics, thinks he has found another explanation—and a warning.

Using a mathematical model devised to mimic a simplified version of the free market, he and colleagues are finding that, without redistribution, wealth becomes increasingly more concentrated, and inequality grows until almost all assets are held by an extremely small percent of people.

The late computer scientist Claude Shannon has a well-deserved reputation as the father of information theory, but he was also an avid unicyclist, juggler and tinkerer. He even built his own robotic juggling machine out of parts from an Erector set, programming it to juggle three metal balls by bouncing them against a drum.

In the early 1980s, Shannon published the first formal mathematical theorem of juggling, correlating the length of time balls are in the air with how long each ball stays in the juggler’s hand. His theorem demonstrated the importance of hand speed to successful juggling.

Mathematicians have been fascinated by juggling ever since. “I think it’s a matter of making sense of the order that’s in the juggling patterns,” said Jonathan Stadler, a math professor at Capital University in Ohio who started juggling as a teenager. “It has to do with understanding how things fit together.”

Gourley says that mathematics can help predict the timing and size of attacks in certain types of war, regardless of where, and why, these attacks are taking place.

Sean Gourley : When we sat down and looked at a conflict like Iraq, we saw that there were very strong mathematical patterns in size of attacks. And then when we looked at a conflict in a different part of the world, fought for different reasons, like Colombia, these same mathematical signatures were emerging again.

Sean Gourley of the University of Miami is a PopTech science fellow for 2010. He’s talking about what some have called “the mathematics of war.” His work – published in the journal Nature – suggests that mathematics can help predict the timing and size of attacks in certain types of war – those in which an insurgent group is trying to overthrow an authority power – regardless of where, and why, these attacks are taking place.

Seven years ago, the combined wealth of 388 billionaires equaled that of the poorest half of humanity, according to Oxfam International. This past January the equation was even more unbalanced: it took only eight billionaires, marking an unmistakable march toward increased concentration of wealth. Today that number has been reduced to five billionaires.

Trying to understand such growing inequality is usually the purview of economists, but Bruce Boghosian, a professor of mathematics, thinks he has found another explanation—and a warning.

Using a mathematical model devised to mimic a simplified version of the free market, he and colleagues are finding that, without redistribution, wealth becomes increasingly more concentrated, and inequality grows until almost all assets are held by an extremely small percent of people.

The mathematics of weight loss | Ruben Meerman | TEDxQUT.

41CvJ+6WOpL