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Mathematics and Art - O'Reilly Radar - 1 views

  • Nikki Graziano's intriguing integration of mathematical curves into her photography sparked a Radar discussion about the relationship between mathematics and the real world. Does her work give insight into the nature of mathematics? Or into the nature of the world? And if so, what kind of insight? Mathematically, matching one curve to another isn't a big deal. Given N points, it's trivial to write an N+1 degree equation that passes through all of them. There are many more subtle ways of solving the same problem, with more aesthetically pleasing results: you can use sine functions, wavelets, square waves, whatever you want. Take out a ruler, measure some points, plug them into Mathematica, and in seconds you can generate as many curves as you like. So finding an equation that matches the curve of an artfully trimmed hedge is easy. The question is whether that curve tells us anything, or whether it's just another stupid math trick.
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Sony intros Alpha DSLR concepts, 'ultra-compact' interchangeable lens model included --... - 0 views

  • PMA is just kicking off in earnest down in Anaheim, and it looks like Sony has arrived in a big way. Looking to make a splash in a DSLR world dominated by Canon and Nikon, the outfit has brought a few of its best and brightest concepts to SoCal. Up first is an ultra-compact "interchangeable lens" concept, which is no doubt Sony's attempt to get in on the fledgling Micro Four Thirds game before it blows up big. Few details on the device are available, but we'll be doing our best to pry whatever specifications we can from the booth representatives in short order. Moving on, there's a conceptual model of the Alpha A700 replacement, complete with an Exmor APS HD CMOS sensor that promises full AVCHD video capabilities. There's also a prototype of a Super Telephoto Lens (500mm F4 G) as well as a prototype Distagon T 24mm F2 ZA SSM, which ought to make wide angle junkies drool profusely. The company's also dishing out a raft of accessories, including underwater housing devices, HD lenses and output cables, tripods / accessory packs and a Compact PictureStation photo printing kiosk. Stay tuned for some hands-on action from the show floor
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Holograms from the Nano Cosmos - 1 views

  • Everyone knows holograms from their everyday life, for instance the ones applied to credit cards as security indicators. Unlike a photography of an object which only records the amplitude of the light wave coming from the object, the hologram also includes local information about the light wave's phase. In appropriate lighting, the initial wave front is reconstructed in proper phase and the spectator has a three dimensional sensation of the object. But it is not this characteristic of holography that is central when it comes to the imaging of small structures, but the fact that for the recording of a hologram no lenses are required at all. In order to conduct research on nanometer scaled objects, light of an equally small wave length is needed (soft X-rays). The only lenses working in this wave spectrum (so-called Fresnel zone plates) are very sophisticated in design and still yield a quality of imaging one scale inferior then lenses for visible light. The modus operandi of recording holograms without the use of lenses is to superimpose the light wave having radiated the object at the time of recording with a reference wave having a known and stable (coherent) phase.
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