The mathematics of coffee extraction: Searching for the ideal brew

(a) Espresso coffee is made by forcing hot water under high pressure througha compacted bed of finely ground coffee. (b) Drip filter brewing involves pouring hotwater over a loose bed of coarser coffee in a filter. In either method water flows through the bed, leaching soluble coffee components from the grains. Any undissolved solids in…

The mathematics of coffee extraction: Searching for the ideal brew

(a) Espresso coffee is made by forcing hot water under high pressure througha compacted bed of finely ground coffee. (b) Drip filter brewing involves pouring hotwater over a loose bed of coarser coffee in a filter. In either method water flows through the bed, leaching soluble coffee components from the grains. Any undissolved solids in…

Mathematical algorithms calculate social behavior

Moving across a square groups of people create patterns which can be analyzed mathematically. Credit: Andreas Battenberg / TUM For a long time, mathematical modelling of social systems and dynamics was considered in the realm of science fiction. But predicting, and at once influencing human behavior is well on its way to becoming reality. Scientists…

Mathematical algorithms calculate social behavior

Moving across a square groups of people create patterns which can be analyzed mathematically. Credit: Andreas Battenberg / TUM For a long time, mathematical modelling of social systems and dynamics was considered in the realm of science fiction. But predicting, and at once influencing human behavior is well on its way to becoming reality. Scientists…

Researchers found mathematical structure that was thought not to exist

Researchers have found a mathematical structure that was thought not to exist. The best possible q-analogs of codes may be useful in more efficient data transmission. In the 1970s, a group of mathematicians started developing a theory according to which codes could be presented at a level one step higher than the sequences formed by…

Researchers found mathematical structure that was thought not to exist

Researchers have found a mathematical structure that was thought not to exist. The best possible q-analogs of codes may be useful in more efficient data transmission. In the 1970s, a group of mathematicians started developing a theory according to which codes could be presented at a level one step higher than the sequences formed by…

Tube map for A-level maths aims to drive smart thinking

Mathematics is the most popular A-level in the UK. But it’s not turning out the right kind of mathematician. “There is a frustration in maths faculties that students are arriving with top marks and yet they can’t bring together different ideas. They are so very fluent but cannot problem-solve off-piste,” says Lynne McClure of Cambridge…

Older teenagers 'quicker to improve maths and reasoning skills'

Older teenagers and young adults are able to improve their fundamental maths skills and reasoning abilities more rapidly than younger teens, according to research that overturns longstanding assumptions about children’s learning. The research, published by academics from University College London’s Institute of Cognitive Neuroscience, also upends ideas that tests used in grammar school selection can…

Getting the most out of fractional models

Machines make our lives easier in many ways. Whether it’s a smart thermostat that learns when to turn the heat on or automatic brakes, machines traffic in the language of classical calculus. Classical calculus is good enough to capture the basic features of biological or mechanical systems and even human behavior, but it paints a…

Getting the most out of fractional models

Machines make our lives easier in many ways. Whether it’s a smart thermostat that learns when to turn the heat on or automatic brakes, machines traffic in the language of classical calculus. Classical calculus is good enough to capture the basic features of biological or mechanical systems and even human behavior, but it paints a…