Menu

Blog

Archive for the ‘mathematics’ category: Page 137

Jan 20, 2019

Bees May Understand Zero, a Concept That Took Humans Millennia to Grasp

Posted by in categories: mathematics, robotics/AI

Brief mention of AI implications…


As a mathematical concept, the idea of zero is relatively new in human society—and indisputably revolutionary. It’s allowed humans to develop algebra, calculus and Cartesian coordinates ; questions about its properties continue to incite mathematical debate today. So it may sound unlikely that bees — complex and community-based insects to be sure, but insects nonetheless — seem to have mastered their own numerical concept of nothingness.

Despite their sesame-seed-sized brains, honey bees have proven themselves the prodigies of the insect world. Researcher has found that they can count up to about four, distinguish abstract patterns, and communicate locations with other bees. Now, Australian scientists have found what may be their most impressive cognitive ability yet: “zero processing,” or the ability to conceptualize nothingness as a numerical value that can be compared with more tangible quantities like one and two.

Continue reading “Bees May Understand Zero, a Concept That Took Humans Millennia to Grasp” »

Jan 16, 2019

The Independent Core Observer Model Computational Theory of Consciousness and the Mathematical model for Subjective Experience

Posted by in categories: biological, mathematics, robotics/AI

Graeme Ross: “Once again the over-riding need to measure the immeasurable raises it‘s ugly head. Statistics are proof of ignorance. Numbers are not knowledge. It has been mooted that we are a mental construct that incorporates multiple persona in our subconscious and semi-conscious mind. Find the theory for yourself. I wont quote what you can find yourselves. If we are a construct, ever-changing, ever-evolving in complexity and moment-to-moment inner focus, and if, as it has been mooted, we have constant and endless conversation with these ever-changing inner mental persona, then it follows that without capturing that process in mid-flight (as it were) we can‘t deduce the reasoning that results from these conversations. Therefore we are not able to quantify these processes in any way at all. It is ephemeral. Thought takes place in the interval between knowing and asking. Trying to build a machine that will think would take far more resources than mankind will ever possess.”


Abstract: This paper outlines the Independent Core Observer Model (ICOM) Theory of Consciousness defined as a computational model of consciousness that is objectively measurable and an abstraction produced by a mathematical model where the subjective experience of the system is only subjective from the point of view of the abstracted logical core or conscious part of the system where it is modeled in the core of the system objectively. Given the lack of agreed-upon definitions around consciousness theory, this paper sets precise definitions designed to act as a foundation or baseline for additional theoretical and real-world research in ICOM based AGI (Artificial General Intelligence) systems that can have qualia measured objectively.

Published via Conference/Review Board: ICIST 2018 – International Conference on Information Science and Technology – China – April 20-22nd. (IEEE conference) [release pending] and https://www.itm-conferences.org/

Continue reading “The Independent Core Observer Model Computational Theory of Consciousness and the Mathematical model for Subjective Experience” »

Jan 12, 2019

Mathematicians Discovered a Computer Problem that No One Can Ever Solve

Posted by in categories: mathematics, robotics/AI

Researchers working on machine learning have discovered a problem that no one, anywhere in the universe, will ever be able to solve.

Read more

Jan 12, 2019

A Proof About Where Symmetries Can’t Exist

Posted by in category: mathematics

In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.

Read more

Jan 10, 2019

Machine learning leads mathematicians to unsolvable problem

Posted by in categories: mathematics, robotics/AI

AI researchers connect machine learning to Godel’s Incompleteness Theorem via a finding of unLearnability.


Simple artificial-intelligence problem puts researchers up against a logical paradox discovered by famed mathematician Kurt Gödel.

Read more

Jan 7, 2019

A fast quantum interface between different spin qubit encodings

Posted by in categories: computing, mathematics, quantum physics

“Open Article” smile Spin-based quantum computers have the potential to tackle difficult mathematical problems that cannot be solved using ordinary computers, but many problems remain in making these machines scalable. Now, an international group of researchers led by the RIKEN Center for Emergent Matter Science have crafted a new architecture for quantum computing. By constructing a hybrid device made from two different types of qubit—the fundamental computing element of quantum computers –they have created a device that can be quickly initialized and read out, and that simultaneously maintains high control fidelity.


Single-spin qubits in semiconductor quantum dots hold promise for universal quantum computation with demonstrations of a high single-qubit gate fidelity above 99.9% and two-qubit gates in conjunction with a long coherence time. However, initialization and readout of a qubit is orders of magnitude slower than control, which is detrimental for implementing measurement-based protocols such as error-correcting codes. In contrast, a singlet-triplet qubit, encoded in a two-spin subspace, has the virtue of fast readout with high fidelity. Here, we present a hybrid system which benefits from the different advantages of these two distinct spin-qubit implementations. A quantum interface between the two codes is realized by electrically tunable inter-qubit exchange coupling. We demonstrate a controlled-phase gate that acts within 5.5 ns, much faster than the measured dephasing time of 211 ns. The presented hybrid architecture will be useful to settle remaining key problems with building scalable spin-based quantum computers.

Read more

Jan 6, 2019

Meet the Filipina Engineer Who Struggled in Math But Now Works at NASA

Posted by in category: mathematics

“Push your limits, get out of your comfort zone, and pick tasks that are harder than what you’re used to,” she says.


Science wasn’t always her first choice.

By Christa I. De La Cruz

Continue reading “Meet the Filipina Engineer Who Struggled in Math But Now Works at NASA” »

Dec 25, 2018

Mathematicians Disprove Conjecture Made to Save Black Holes

Posted by in categories: cosmology, mathematics, physics

‘’As a result, it’s nonsensical to ask what happens to space-time beyond the Cauchy horizon because space-time, as it’s regarded within the theory of general relativity, no longer exists. “This gives one a way out of this philosophical conundrum,” said Dafermos.


Mathematicians have disproved the strong cosmic censorship conjecture. Their work answers one of the most important questions in the study of general relativity and changes the way we think about space-time.

Read more

Dec 17, 2018

Mathematicians Seal Back Door to Breaking RSA Encryption

Posted by in categories: encryption, mathematics, security

Digital security depends on the difficulty of factoring large numbers. A new proof shows why one method for breaking digital encryption won’t work.

Read more

Dec 12, 2018

New method gives microscope a boost in resolution

Posted by in category: mathematics

Scientists at the University of Würzburg have been able to boost current super-resolution microscopy by a novel tweak. They coated the glass cover slip as part of the sample carrier with tailor-made biocompatible nanosheets that create a mirror effect. This method shows that localizing single emitters in front of a metal-dielectric coating leads to higher precision, brightness and contrast in Single Molecule Localization Microscopy (SMLM). The study was published in the Nature journal Light: Science and Applications.

The sharpness of a microscope is limited by —structures that are closer together than 0.2 thousandths of a millimeter blur, and can no longer be distinguished from each other. The cause of this blurring is diffraction. Each point-shaped object is therefore not shown as a point, but as a blurry spot.

With , the resolution can still be drastically improved. One method would calculate its exact center from the brightness distribution of the blurry spot. However, it only works if two closely adjacent points of the object are initially not simultaneously but subsequently visible, and are merged later in the . This temporal decoupling prevents superimposition of the blurry spot. For years, researchers in have been using this tricky method for super high-resolution light of cells.

Read more