Phys.org news tagged with:differential equation
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en-usPhys.org internet news portal provides the latest news on science including: Physics, Nanotechnology, Life Sciences, Space Science, Earth Science, Environment, Health and Medicine.Software helps decrypt embryonic developmentWhen new life develops, a tiny ball of initially identical cells has to form the different body parts of the mature organism. Sixty years ago, Alan Turing proposed that this body patterning is achieved by two types of signaling molecules that spread in the developing tissues to create a spatial pattern. Scientists from the Friedrich Miescher Laboratory of the Max Planck Society in Tübingen have now developed new mathematical approaches and software to systematically analyze realistic pattern forming networks that involve more than two molecules. The software can be used to analyze how patterns form during development and to create novel patterns for bioengineering approaches.
http://phys.org/news/2016-04-software-decrypt-embryonic.html
Biotechnology Tue, 26 Apr 2016 09:23:28 EDTnews380881398Weird mathematical method holds up to testingTwenty-two years after it was first proposed, mathematicians from Massey University, New Zealand, the Norwegian University of Science and Technology, Norway and La Trobe University, Australia have demonstrated why an unconventional mathematical method –critical for computer programming – works so well.
http://phys.org/news/2015-12-weird-mathematical-method.html
Mathematics Thu, 17 Dec 2015 09:41:08 EDTnews369567662Investigating how droplets move around on a surface shows us why it is important to set boundary conditionsNot everyone ponders sets of partial differential equations when watching droplets slide down a window on a rainy day, but, thanks to new research from A*STAR, those who are so inclined now have what they need to construct a robust physical and mathematical explanation of what they see.
http://phys.org/news/2015-11-droplets-surface-important-boundary-conditions.html
Condensed Matter Wed, 18 Nov 2015 07:24:05 EDTnews367053836Princeton honors memory of 'Mind' mathematician John NashPrinceton University said farewell to late mathematician and faculty member John Nash, whose life and battle with schizophrenia were chronicled in the Russell Crowe movie "A Beautiful Mind," with a day of remembrance events and a panel discussion about him on Saturday.
http://phys.org/news/2015-10-princeton-honors-memory-mind-mathematician.html
Mathematics Sun, 25 Oct 2015 05:10:22 EDTnews364968607Princeton honoring memory of mathematician John NashFive months after his remarkable life ended in a crash on a New Jersey highway, Princeton University is paying tribute to John Nash, the Nobel Prize-winning mathematician remembered by colleagues for his brilliance and by millions for the Hollywood movie about him.
http://phys.org/news/2015-10-princeton-honoring-memory-mathematician-john.html
Mathematics Sun, 18 Oct 2015 15:54:06 EDTnews364402439Crunching numbers: Math equations help build optimal bird wingIf you had to design a bird or dolphin drone from scratch, how would you build the wings?
http://phys.org/news/2015-09-crunching-math-equations-optimal-bird.html
General Physics Mon, 28 Sep 2015 16:26:59 EDTnews362676411The math of shark skin"Sharks are almost perfectly evolved animals. We can learn a lot from studying them," says Emory mathematician Alessandro Veneziani.
http://phys.org/news/2015-07-math-shark-skin.html
Plants & Animals Fri, 03 Jul 2015 06:18:05 EDTnews355123074Mathematicians formulate equations, bend light and figure out how to hide thingsThe idea of cloaking and rendering something invisible hit the small screen in 1966 when a Romulan Bird of Prey made an unseen, surprise attack on the Starship Enterprise on Star Trek. Not only did it make for a good storyline, it likely inspired budding scientists, offering a window of technology's potential.
http://phys.org/news/2015-06-mathematicians-equations-figure.html
Mathematics Mon, 22 Jun 2015 06:48:39 EDTnews354174504Ants' movements hide mathematical patternsWhen ants go exploring in search of food they end up choosing collective routes that fit statistical distributions of probability. This has been demonstrated by a team of mathematicians after analysing the trails of a species of Argentine ant. Studies like this could be applied to coordinate the movement of micro-robots in cleaning contaminated areas for example.
http://phys.org/news/2015-05-ants-movements-mathematical-patterns.html
Mathematics Tue, 12 May 2015 10:32:27 EDTnews350645539Engineers develop new methods to speed up simulations in computational grand challengeEngineers at the University of California, San Diego, have developed a new family of methods to significantly increase the speed of time-resolved numerical simulations in computational grand challenge problems. Such problems often arise from the high-resolution approximation of the partial differential equations governing complex flows of fluids or plasmas. The breakthrough could be applied to simulations that include millions or billions of variables, including turbulence simulations.
http://phys.org/news/2015-03-methods-simulations-grand.html
General Physics Thu, 26 Mar 2015 14:50:02 EDTnews346599456American mathematicians Nash, Nirenberg win Abel math prizeAmerican mathematicians John F. Nash Jr. and Louis Nirenberg have won this year's Abel Prize in mathematics.
http://phys.org/news/2015-03-american-mathematicians-nash-nirenberg-abel.html
Mathematics Wed, 25 Mar 2015 08:39:14 EDTnews346491547Optimized application of high intensity focused ultrasoundThe field of nonlinear acoustics is currently receiving a lot of attention, thanks to applications focused on the improvement of ultrasonic cleaning, ultrasonic welding, sonochemistry, or thermotherapy. Lithotripsy – the demolition of kidney stones based on the use of high intensity focused ultrasound – represents a further medical field of application.
http://phys.org/news/2015-02-optimized-application-high-intensity-focused.html
Mathematics Tue, 10 Feb 2015 09:30:06 EDTnews342782154Insightful mathematics for an optimal run: Mathematical equations can help improve athletic performanceSure, we can become better runners by hydrating well, eating right, cross training, and practice. But getting to an optimal running strategy with equations? That's exactly what a pair of mathematicians from France propose in a paper published this month in the SIAM Journal on Applied Mathematics.
http://phys.org/news/2014-10-insightful-mathematics-optimal-mathematical-equations.html
Mathematics Mon, 27 Oct 2014 10:01:43 EDTnews333622896Heat distributions help researchers to understand curved spaceThe heat equation is one of the most important partial differential equations. The behavior of the solution to the equation reflects the geometry of the underlying space very well. Therefore, this equation has been investigated very extensively in both analysis and geometry. The solution evolves over time so that the Dirichlet's energy functional decreases most efficiently. Recently, F. Otto introduced another characterization: the solution evolves so that the Boltzmann entropy increases most efficiently from the viewpoint of optimal transportation. Both of these characterizations enable us to study the heat equation on spaces admitting singularities, where usual differential calculus does not work. However, their identification in such spaces is unknown.
http://phys.org/news/2014-08-space.html
Mathematics Tue, 26 Aug 2014 07:50:06 EDTnews328255083The brain could be key to a better computerYour brain is incredibly well-suited to handling whatever comes along, plus it's tough and operates on little energy. Those attributes—dealing with real-world situations, resiliency and energy efficiency—are precisely what might be possible with neuro-inspired computing.
http://phys.org/news/2014-05-brain-key.html
Computer Sciences Thu, 15 May 2014 08:40:01 EDTnews319361126Modeling metamaterialsEPFL scientists have developed an innovative mathematical method to greatly improve computer modeling of metamaterials.
http://phys.org/news/2014-01-metamaterials.html
Condensed Matter Fri, 10 Jan 2014 07:07:31 EDTnews308560039Are you ready to retire? Mathematical models estimate the value of pension plansThere comes a time in each of our lives when we consider starting a pension plan –either on the advice of a friend, a relative, or of our own volition. The plan of choice may depend on various factors, such as the age and salary of the individual, number of years of expected employment, as well as options to retire early or late.
http://phys.org/news/2013-10-ready-mathematical-pension.html
Mathematics Mon, 21 Oct 2013 17:02:49 EDTnews301593725Light knots: Physicists use Maxwell's equations to describe field lines that encode torus knots and links(Phys.org) —A team of physicists, two from the U.S., and one each from Poland and Spain has used Maxwell's equations to describe field lines that encode all torus knots and links. As they describe in their paper published in the journal Physical Review Letters, the result of using the equations could lead to a method of creating light in the real world that can be tied into knots.
http://phys.org/news/2013-10-physicists-maxwell-equations-field-lines.html
General Physics Fri, 18 Oct 2013 08:15:37 EDTnews301302916The secret lives of bubbles: Mathematicians describe evolution, dissolution of clusters of bubbles (w/ video)Bubble baths and soapy dishwater, the refreshing head on a beer and the luscious froth on a cappuccino. All are foams, beautiful yet ephemeral as the bubbles pop one by one.
http://phys.org/news/2013-05-secret-mathematicians-evolution-dissolution-clusters.html
Mathematics Thu, 09 May 2013 14:00:08 EDTnews287313104Outside a vacuum: Model predicts movement of charged particles in complex mediaPicture two charged particles in a vacuum. Thanks to laws of elementary electrostatics, we can easily calculate the force these particles exert upon one another, and therefore predict their movements.
http://phys.org/news/2012-11-vacuum-movement-particles-complex-media.html
General Physics Wed, 28 Nov 2012 11:12:31 EDTnews273323541Biophysicists model the behavior of a protein critical to cell motion(Phys.org) -- Physicists at Lehigh have created a mathematical model that could benefit researchers who study cell motion, including cancerous cell motion, tissue healing processes and human embryonic development.
http://phys.org/news/2012-07-biophysicists-behavior-protein-critical-cell.html
General Physics Mon, 16 Jul 2012 04:55:14 EDTnews261633305Mathematics: First-ever image of a flat torus in 3DJust as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space. However, a French team of mathematicians and computer scientists has succeeded in constructing and visually representing an image of a flat torus in three-dimensional space. This is a smooth fractal, halfway between fractals and ordinary surfaces. The results are published in PNAS.
http://phys.org/news/2012-04-mathematics-first-ever-image-flat-torus.html
Mathematics Thu, 26 Apr 2012 06:35:24 EDTnews254640881Establishing a new scalar curvature flow methodMathematically, is it possible to continuously deform a rough sphere into a perfect sphere? Under what situations can we solve the differential equations?
http://phys.org/news/2012-02-scalar-curvature-method.html
Mathematics Mon, 27 Feb 2012 09:48:19 EDTnews249558439Aiding cancer therapy by mathematically modeling tumor-immune interactionsCancer is one of the five leading causes of death. And yet, despite decades of research, there is no standardized first-line treatment for most cancers. In addition, disappointing results from predominant second-line treatments like chemotherapy have established the need for alternative methods.
http://phys.org/news/2012-01-aiding-cancer-therapy-mathematically-tumor-immune.html
Mathematics Wed, 25 Jan 2012 12:46:06 EDTnews246717953Mathematical model shows how groups split into factions(PhysOrg.com) -- The school dance committee is split; one group wants an "Alice in Wonderland" theme; the other insists on "Vampire Jamboree." Mathematics could have predicted it.
http://phys.org/news/2011-01-mathematical-groups-factions.html
Mathematics Tue, 04 Jan 2011 09:11:53 EDTnews213354681Silicon chips to enter world of high speed optical processing(PhysOrg.com) -- Physicists at the University of Sydney have brought silicon chips closer to performing all-optical computing and information processing that could overcome the speed limitations intrinsic to electronics, with the first report published of an on-chip all-optical temporal integrator in Nature Communications today.
http://phys.org/news/2010-06-silicon-chips-world-high-optical.html
Optics & Photonics Sun, 20 Jun 2010 14:00:01 EDTnews196258264Rough calculations: New book lays out practical tools for educated guessing(PhysOrg.com) -- Time for some quick arithmetic: Is 3600 x 4.4 x 104 x 32 larger or smaller than 3 x 109?
http://phys.org/news/2010-03-rough-tools.html
Mathematics Mon, 29 Mar 2010 08:20:01 EDTnews189065811New breakthrough in bubble researchA researcher from the University of Bath has found a new approach to an old geometric problem of modelling the most efficient way of packing shapes to form a foam.
http://phys.org/news/2009-09-breakthrough.html
Mathematics Wed, 02 Sep 2009 12:46:07 EDTnews171114233