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DOUBLE BUBBLE PROBLEM. "In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2π/3 on a common circle." https://lnkd.in/dnPcbKg View in LinkedIn

DOUBLE BUBBLE PROBLEM. "In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2π/3 on a common circle. It is now a theorem, as a proof of it was published in 2002." https://lnkd.in/dnPcbKg View in LinkedIn

DOUBLE BUBBLE PROBLEM. "In the mathematical theory of minimal surfaces, the double bubble conjecture states that the shape that encloses and separates two given volumes and has the minimum possible surface area is a standard double bubble — three spherical surfaces meeting at angles of 2π/3 on a common circle. It is now a theorem, as a proof of it was published in 2002." https://lnkd.in/dnPcbKg View in LinkedIn

IN REMISSION. "Few individuals ever truly recover from obesity ... Those that do ... "still have 'obesity in remission,' and are biologically very different from individuals of the same age, sex and body weight who never had obesity." They are constantly at war with their bodies' efforts to return to their highest sustained weight." https://lnkd.in/d9duDay View in LinkedIn

THE SYSTOLE. "In geometry, the systole refers to the shortest closed curve around the surface of a 3D object. The researchers found that the systole's properties can determine where on the surface the singularity will occur. If the systole loops around the wire frame, for instance, the singularity will occur at the wire frame -- as in the Mobius strip -- but if it does not, then the singularity will occur at the surface's bulk." https://lnkd.in/dX6zRsR View in LinkedIn

THE HUMAN BODY "will respond to weight loss by powering down its use of calories as fuel, pumping out hormones to increase hunger, boosting fat storage capacity, and tricking the brain to demand overconsumption." https://lnkd.in/d9duDay View in LinkedIn

SINGULARITIES. "A singularity is the point at which any given mathematical object -- such as an equation or surface -- breaks down and "explodes", no longer defined. According to a new study, identifying a type of curve in a film of soap can help predict where singularities are likely to occur in other films of soap -- which, in turn, could help researchers understand real-world natural singularities." https://lnkd.in/dX6zRsR View in LinkedIn

VESTIGIAL METABOLISM. "Once obesity is established, however, body weight seems to become biologically 'stamped in' and defended. The human body, evolved to endure through periods of food scarcity, has adapted a host of methods to ensure that lost weight will be restored." https://lnkd.in/d9duDay View in LinkedIn

SOAP BUBBLES INFORM EINSTEIN. "The structure of the equations obeyed by minimal surfaces or soap bubbles is eerily similar to that of Einstein's equations, the centerpiece of his general theory of relativity. Results from the theory of minimal surfaces give information that is important for analyzing solutions to Einstein's equations, and vice versa." https://lnkd.in/dJxmSGq View in LinkedIn

FROZEN BUBBLES. "Remarkably, soap bubbles can be blown in very cold temperatures, freeze and remain intact if they are strong enough. Once frozen they would each have unique crystalline patterns and shapes, some would crack like an egg and others would deflate." https://lnkd.in/d6yTfAU View in LinkedIn