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Bristol mathematician cracks Diophantine puzzle

A mathematician from the University of Bristol has found a solution to part of a 64-year old mathematical problem – expressing the number 33 as the sum of three cubes.

Since the 1950s, mathematicians have wondered if all could be expressed as the sum of three cubes; whether the equation k = x³+ y³+ z³ always has a .

The puzzle is a Diophantine equation in the field of , and forms part of one of the most mysterious and wickedly hard in . We still don’t know the answer.

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‘The Big Bang Theory’ takes math notes from Carl Pomerance

A prime number theory equation by mathematics professor emeritus Carl Pomerance turned up on The Big Bang Theory, where it was scrawled on a white board in the background of the hit sitcom about a group of friends and roommates who are scientists, many of them physicists at the California Institute of Technology.

In a recent paper, “Proof of the Sheldon Conjecture,” Pomerance, the John G. Kemeny Parents Professor of Mathematics Emeritus, does the math on a claim by fictional quantum physicist Sheldon Cooper that 73 is “the best ” because of several . Pomerance’s proof shows that 73 is indeed unique.

The Big Bang Theory is known for dressing the set with “Easter eggs” to delight the self-avowed science nerds in the audience. When UCLA physics professor David Saltzberg, technical consultant for The Big Bang Theory, heard about the Sheldon proof, he contacted Pomerance to ask if they could use it in the show, which was broadcast April 18.

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New laws of robotics needed to tackle AI: expert

Decades after Isaac Asimov first wrote his laws for robots, their ever-expanding role in our lives requires a radical new set of rules, legal and AI expert Frank Pasquale warned on Thursday.

The world has changed since sci-fi author Asimov in 1942 wrote his three rules for robots, including that they should never harm humans, and today’s omnipresent computers and algorithms demand up-to-date measures.

According to Pasquale, author of “The Black Box Society: The Secret Algorithms Behind Money and Information”, four new legally-inspired rules should be applied to robots and AI in our daily lives.

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The Thesis on Consciousness and Experiential Realism: Digital Philosophy Perspective

A radically new view articulated now by a number of digital philosophers is that consciousness, quantum computational and non-local in nature, is resolutely computational, and yet, has some “non-computable” properties. Consider this: English language has 26 letters and about 1 million words, so how many books could be possibly written in English? If you are to build a hypothetical computer containing all mass and energy of our Universe and ask it this question, the ultimate computer wouldn’t be able to compute the exact number of all possible combinations of words into meaningful story-lines in billions of years! Another example of non-computability of combinatorics: if you are to be born and live your own life again and again in our Quantum Multiverse, you could live googolplex (10100) lives, but they all would be somewhat different — some of them drastically different from the life you’re living right now, some only slightly — never quite the same, and timeline-indeterminate.

Another kind of non-computability is akin to fuzzy logic but based on pattern recognition. Deeper understanding refers to a situation when a conscious agent gets to perceive numerous patterns in complex environments and analyze that complexity from the multitude of perspectives. That is beautifully encapsulated by Isaiah Berlin’s quote: “To understand is to perceive patterns.” The ability to recognize patterns in chaos is not straightforwardly algorithmic but rather meta-algorithmic and yet, I’d argue, deeply computational. The types of non-computability that I just described may somehow relate to the non-computable element of quantum consciousness to which Penrose refers in his work.

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Scientists Trained AI To Write Poetry, It’s Ready To Replace Shakespeare

Computer scientists the University of Melbourne in Australia and the University of Toronto in Canada have developed an algorithm that is capable of writing poetry following the rules of rhyme and metre.

With the use of poetries rules and taking the metre into account, this AI algorithm creates weaves of words and grouped them together to produce meaningful sentences.

This AI is trained extensively on the rules it needed to follow to craft an acceptable poem and the dataset researcher used to train the AI has over 2,600 real sonnets.

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Humanoid robot delicately ‘walks a tightrope’ of tiny blocks

Researchers trained the 165-pound ‘humanoid robot’ to walk across narrow terrain by using human-like control, perception and planning algorithms. The video shows the robot, called Atlas, carefully moving across a balance beam using body control created using LIDAR…


Researchers from the Institute for Human & Machine Cognition in Florida have created a robot that uses a planning algorithm to balance its way across an uneven path of cinder blocks.

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Designer Julia Daviy Introduces Her Digitally Customizable 3D Printed Skirt

3D printing is moving ever closer to gaining a true home in mainstream commercial applications, thanks to the impact the technology is having on consumer fashion products such as jewelry, footwear, and clothing. While 3D printed fashion was still considered to be more of a novelty a few years ago, efforts have been increasing to make it more common – even in the classroom. Additionally, the technology is helping to usher in a more sustainable and eco-friendly way of manufacturing garments…and designer Julia Daviy is helping to lead the charge.

In addition to designing clothes, Daviy is also an ecologist and clean technology industry manager, and uses 3D printing to make cruelty-free, zero-waste clothing. She believes that the technology will change how the world produces clothing, especially when it comes to some of the more problematic issues of garment manufacturing, such as animal exploitation, chemical pollution, energy consumption, and material waste.

“Our goal was never to demonstrate the viability of 3D printed clothing and leave things at that. We’ll have succeeded when beautiful, comfortable, ethically manufactured and environmentally friendly clothes are the standard,” Daviy stated. “The innovations we’ve made on the production and marketing side of the equation are just as important as the technological breakthroughs that have gotten us this far.”

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Wireless movement-tracking system could collect health and behavioral data

We live in a world of wireless signals flowing around us and bouncing off our bodies. MIT researchers are now leveraging those signal reflections to provide scientists and caregivers with valuable insights into people’s behavior and health.

The system, called Marko, transmits a low-power radio-frequency (RF) signal into an environment. The signal will return to the system with certain changes if it has bounced off a moving human. Novel algorithms then analyze those changed reflections and associate them with specific individuals.

The system then traces each individual’s movement around a digital floor plan. Matching these movement patterns with other data can provide insights about how people interact with each other and the environment.

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