Helge Scherlund's eLearning News

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Updated: 4 days 6 hours ago

How Fibonacci Can Help Us Convert Between Miles and Kilometers | Mathematics - Medium

This interesting math trick arises from an interesting empirical observation and the Fibonacci sequence by Krishnan  published in Cantor’s Paradise.

Image Source: https://mathigon.org/course/sequences/fibonacci
 First, we should define the relationship between miles(mi) and kilometers(km):

1 mi = 1.60934 km and 1 km = 0.621371 mi

Now, if this number looks familiar, it is because these numbers are extremely close to the golden ratio.

By noticing the golden ratio is close to the conversion factors of miles and kilometers, we can rewrite the relationship between miles and kilometers as an approximation:

Concluding Remarks

By no metric, is this considered serious math. It is just an interesting trick that came from closer observation. However, I would like to point out that this is an example of how beauty emerges from the randomness of the universe. No one thought of the golden ratio or the Fibonacci Sequence when coming up with miles and kilometers, yet this connection exists.

Read more...

Source: Medium

Helping Online Students Succeed | Online Education - Faculty Focus

 *Editor’s Note: This is an article from The Teaching Professor. If you are interested in similar articles, check out The Teaching Professor membership.**

John Orlando, PhD says, When students do poorly on an assignment, faculty generally chalk it up to either a) lack of effort or b) lack of intelligence.

Helping Online Students Succeed
Photo: Faculty Focus

But problems in product are usually problems in process, and often students lack the “self-regulated learning strategies” needed to be successful (Wandler and Imbriale, 2017). Self-regulated learning strategies include goal setting, self-monitoring, and help seeking.

This can be a particular problem in an online class, where students must be more self-regulated than in face-to-face courses because they lack the structure of being required to be in a particular place at a particular time. It can be easier to drift away from a class without that schedule.

The good news is that students can be taught self-regulated learning strategies as part of an online course without distracting from the course content. Teaching these strategies as part of the course will not only help student achievement in that particular course but give them skills that will serve them will in future courses.

Read more... 

Source: Faculty Focus

Engaging Faculty to Connect with Online Learners in Real Time | Transforming Higher Ed - EDUCAUSE Review

A faculty-led initiative at Indiana Wesleyan University/National & Global Campus focused on creating real-time engagements with students in asynchronous online courses.

Over the past year, a collaborative team of administrators and faculty from Indiana Wesleyan University's adult education programs, National & Global (IWU/N&G), developed and deployed an approach to teaching and learning for students of asynchronous online programs summarizes Tiffany Snyder, Assistant Director of Faculty Enrichment and Brad Garner is Director of Faculty Enrichment at Indiana Wesleyan University.

Photo: P-pongsiri / Shuttertock.com © 2020

Although this initiative—dubbed Synchronicity—is not revolutionary in the scheme of online teaching, it demonstrates the power of engaging faculty in the process of systemic change. The team's belief in the benefits of blended online learning—that is, the thoughtful integration of synchronous and asynchronous online modalities—was inspired by the professional literature,1 as well as student data from a pilot study at IWU/N&G. 

The Pilot Study: January to June 2020

In January 2020, sixteen IWU/N&G faculty began an interdisciplinary research effort to compare student outcomes between fully asynchronous versions of online courses and other versions that blend asynchronous and synchronous elements. Faculty participating in the pilot study implemented at least one synchronous learning activity in their online courses and made the activities optional for students. Examples of synchronous learning activities included welcome sessions, discussions, and virtual office hours.

Faculty participating in the pilot study recruited colleagues who taught the same or similar online courses without synchronous components...

The Final Word

As is the case with any instructional strategy, when faculty are presented with information about synchronous online sessions, some are die-hard proponents, others are fence-straddlers, and a few admit reluctance. Typically, those who are reluctant either have tried synchronous sessions and experienced disappointment in student attendance and engagement or have not tried synchronous sessions and do not feel equipped to facilitate learning in a live virtual format. The process of integrating synchronous activities in asynchronous classes may feel daunting, unfamiliar, and frustrating at times. Faculty have been encouraged to start slowly by focusing on a single class and one or two technologies. 

Read more... 

Source: EDUCAUSE Review

The algorithms are watching us, but who is watching the algorithms? | Artificial Intelligence - ZDNet

Daphne Leprince-Ringuet, reporter at ZDNet explains, A two-year investigation into the private and public use of AI systems shows that more oversight is needed, particularly in government services like policing.

Photo: Daria Sannikova from PexelsEmpowering algorithms to make potentially life-changing decisions about citizens still comes with significant risk of unfair discrimination, according to a new report published by the UK's Center for Data Ethics and Innovation (CDEI). In some sectors, the need to provide adequate resources to make sure that AI systems are unbiased is becoming particularly pressing – namely, the public sector, and specifically, policing. 

The CDEI spent two years investigating the use of algorithms in both the private and the public sector, and was faced with many different levels of maturity in dealing with the risks posed by algorithms. In the financial sector, for example, there seems to be much closer regulation of the use of data for decision-making; while local government is still in the early days of managing the issue.

Although awareness of the threats that AI might pose is growing across all industries, the report found that there is no particular example of good practice when it comes to building responsible algorithms...

Similar conclusions were reached in a report published earlier this year by the UK's committee on standards in public life, led by former head of MI5 Lord Evans, who expressed particular concern at the use of AI systems in the police forces. Evans noted that there was no coordinated process for evaluating and deploying algorithmic tools in law enforcement, and that it is often up to individual police departments to make up their own ethical frameworks.

Read more...

Source: ZDNet

Learn Data Analysis on Excel, Python, Tableau, and More | Deals - MakeUseOf

Kickstart your career as a data analyst with advance content on Excel, Power BI, Tableau, VBA, and Python, inform Rahul Saigal, Author at MakeUseOf.

Kickstart your career as a data analyst with advance content on Excel, Power BI, Tableau, VBA, and Python
Photo: MakeUseOf

It takes a versatile skill set to get a job in these positions. While there are platforms and programming languages more suited to data analytics, online training in Excel and Data Analysis can help you achieve the career path you want. 

What’s in the Bundle?

This massive bundle includes 24 courses on basics and advanced of Excel and data analysis. Let’s explore the bundle in detail: 

Read more... 

Source: MakeUseOf

The Maturation of Data Science | Ethics - Datanami

Alex Woodie, managing editor at Datanami observes, Data science used to be somewhat of a mystery, more of a dark art than a repeatable, scientific process. 

Photo: Chan2545/Shutterstock Companies basically entrusted powerful priests called data scientists to build magical algorithms that used data to make predictions, usually to boost profits or improve customer happiness. But in recent years, the field has matured to a remarkable degree, and that is enabling progress to be made on multiple fronts, from ModelOps and reproducibility to ethics and accountability.

About five years ago, the worldwide scientific community was suffering a “reproducibility crises” that impacted a wide range of scientific endeavors, including so-called hard sciences like physics and chemistry. One of the hallmarks of the scientific method is that experiments must be reproducible and will give the same results, but that lofty goal too often was not met.

Data science was not immune to this problem, which should not be surprising, given the relative newness and the probabilistic nature of the field. And when you mix in the black box nature of deep learning models and data that reflects a rapidly changing world, sometimes it seems a miracle that an algorithm of any complexity could generate the same result at two points in time...

AI Ethics Improving

The increasing maturation of the data science field is also paying dividends when it comes to ethics and trustworthy, which are emerging as big challenges for AI to overcome.

It wasn’t long ago that companies didn’t give a thought to how AI could go off the rails, said Ted Kwartler, DataRobot’s vice president of Trusted AI.

Read more... 

Source: Datanami

Will Artificial Intelligence Replace The Mathematician? | Business - EconoTimes

In the 1970s, mathematician Paul Cohen predicted that “at some unspecified future time, mathematicians would be replaced by computers.” by EconoTimes.

Photo: Paul Joseph Cohen

It’s a theory that has unsettled many in the field of mathematics.

With the rise of artificial intelligence, is it just a matter of time before Cohen’s prediction comes true? Will we reach a stage in which mathematics becomes so computerized and automated that a human is no longer needed.

In this article, we discuss AI and mathematics, how their roles overlap, and whether it’s possible that artificial intelligence may replace the mathematician.

What is mathematics?

Mathematics is one of the oldest and most respected sciences and the foundation for many other sciences and industries in which it is applied. Mathematics is split into two categories: theoretical mathematics (also called pure mathematics) and applied mathematics...

What is artificial intelligence?

When most people think of artificial intelligence, they may visualize a talking robotic serving their morning coffee. While robotics is one form of AI, the field is much broader and more complex than that...

Machine learning underpins data science, and mathematical algorithms are what machine learning software is based on. Therefore, data scientists need to understand the mathematics behind machine learning algorithms. In fact, some degrees in mathematics now also include data science in the curriculum. 

Read more... 

Source: EconoTimes

Machine Learning Most Mentioned Trend Among Top 10 AI Influencers on Twitter Ranked by GlobalData | Machine Learning - AiThority

Machine Learning, Big Data and Data Science emerged as the most mentioned trends among the artificial intelligence (AI) influencer discussions on Twitter during the third quarter (Q3) of 2020, according to GlobalData, a leading data and analytics company by

The discussions around machine learning were related to how organizations have reacted to COVID-19 outbreak through digital transformation integrated with machine learning. To maximize enterprise value, companies have started integrating AI strategies with data science.

Among companies, Alphabet Inc. emerged as the most mentioned company among AI influencer discussions on Twitter during Q3 2020...

Amazon emerged as another most mentioned company, led by surge in discussions related to the launch of its AI-powered fitness band Halo in August. It was followed by Microsoft, which won the Pentagon’s US$10bn worth Joint Enterprise Defense Infrastructure (JEDI) project in September. The objective of the AI integrated project is to speed up war planning and fighting capabilities.

Read more... 

Source: AiThority 

Top Free AI & Data Science Courses Launched In 2020 | Education - Analytics India Magazine

After a lot of turmoil that the year 2020 brought in terms of business disruption, challenges to ensure business continuity, remote working becoming the new norm, among others, many companies and institutes introduced and developed free courses for the data science and AI enthusiasts to make the most of the lockdown, as Srishti Deoras, works as Associate Editor at Analytics India Magazine reports. 

Top Free AI & Data Science Courses Launched In 2020
Photo: Analytics India Magazine

From various ivy league institutions to major organisations across the globe, several courses were made free this year. As the year 2020 comes to an end, we list a few such courses in AI and data science that were made free and are still available for tech enthusiasts to avail. The courses are listed in no particular order.

In March this year, as lockdown ensued, to uplift the learners and help the community in the critical time, Coursera decided to launch new, free resources, as well as sharing impressive course collections, community discussions, and expert interviews. The courses were made free for anyone, anywhere. Aimed at helping the candidates take the first step in exploring a new career path, it made courses in areas such as data science, cloud technology and more, which can be availed even now. 

Read more... 

Source: Analytics India Magazine

Extend Robotics unveils new VR-controlled robotic arm | Robotics - The Engineer

UK-based start-up Extend Robotics has announced the launch of a new low-cost virtual reality (VR) controlled robotic arm by The Engineer. 

“R:O:B:” – a Virtual Reality-controlled ‘robotically optimised bartender’ 

 

Aiming to produce affordable, dexterous robotic hardware for use in the healthcare, services, utilities and energy industries, Extend Robotics has revealed its Robot Toolkit which is said to offer ‘highly realistic’ human-like dexterity and reachability to six degrees of freedom. 

Reportedly featuring real-time, immersive and intuitive control using the latest VR technologies, the VR teleoperated robot has been developed in-house at the company’s headquarters in Reading. The video shown above demonstrates how the robotic arm can be operated remotely by a human operator.

“At Extend Robotics, our vision is to extend human capability beyond physical presence,” explained Dr. Chang Liu, founder and CEO of Extend Robotics and former research associate at Imperial College, London. “...

“Right now, as we approach the end of the COVID-19 crisis, we expect to see remote working as ‘the new norm’ across many industries, for numerous health, safety and environmental reasons,” Dr Liu added.  

Read more...

Source: The Engineer and Extend Robotics Channel (YouTube)

FAA Moving Forward to Enable Safe Integration of Drones | Drones & UAVs - Geospatial World

The FAA has published the airworthiness criteria for the proposed certification of 10 different Unmanned Aircraft Systems (UAS) or drones as special class aircraft by News Desk

This is an important step towards allowing more complex drone operations under the small unmanned aircraft rule (Part 107), including package delivery...

Airworthiness criteria notices are published in the Federal Register for the following applicants:

  • 3D Robotics
  • Airobotics
  • Amazon
  • Flirtey
  • Flytrex
  • Matternet
  • Percepto
  • Telegrid
  • Wingcopter
  • Zipline

The applicants’ drones range from five to 89 pounds, and include various types of vehicle designs, including both fixed wing and rotorcraft, and are all electric-powered. 

Read more... 

Source: Geospatial World

To Fix Math Education, See It as a Program That Needs an Update | Mathematics - Walter Bradley Center for Natural and Artificial Intelligence

Part 1: How can we really fix the way math is taught? First, we must understand why we teach math in the first place. Math teaches students how to think more clearly in all areas of life but it mostly performs this function silently, invisibly.

Part 2: Straight talk about fitting the math curriculum to the student. We need to avoid pushing too much too soon, lest students come to see themselves as “bad at math” when they are just not ready for it. About math drills: Every algebra teacher I’ve ever met will tell you that instant recall of math facts is the best predictor of algebra success.

Part 3: Helping students see how math benefits them in the long run. To keep them motivated, we need to answer the “Why bother?” question honestly and directly. Most mathematics topics teach a specific logical skill that will help students solve problems on any career path.

See also: Bartlett’s calculus paper reviewed in a mathematics magazine. The paper offers fixes for long-standing flaws in the teaching of elementary calculus.

Jonathan Bartlett, senior software R&D engineer at Specialized Bicycle Components inform, In this series we are looking at ways that math education can be reformed. 

Photo: aleonmail via Flickr

In contrast to some other math reform efforts, we are not trying to fundamentally rewrite what math education is doing but to simply admit that we can do better and see where that takes us. (See Part 1, Part 2, and Part 3.) Here in Part 4, let’s look at specific content issues that, I will argue, we could improve when we do a curriculum revision.

Mathematics is an old subject. We have inherited quite a bit of mathematical thought. We must educate future generations so as to make sure that this hard-won knowledge is not lost. But one of the biggest impediments to our task is simply the way in which mathematics is presented.

Here is an illustration that may help: In computer programming we sometimes talk about “legacy code.” Legacy code consists of working programs that have been handed down to us, usually from earlier programmers. Oftentimes, as change requests have come in, one programmer after another bolts features into the code. After a while, the bolt-ons start making the code itself confusing. As a result, later programmers have a hard time making sense of how everything fits together.

Eventually, the code must be “re-factored.” This means that we pull the code apart and rebuild it so that it makes a lot more sense to those who are currently using and developing it.

I think the same process is needed for math education...

A great math problem would be a practical one. For example, ask students to create a formula for a catering budget based on a head count, and then to modify that formula to see, given a particular budget, what the head count would be.

Too often, formulas in mathematics simply seem to fall from the sky and students are merely asked to use and obey. That works well for younger students who just need a thinking tool to begin with. But our goal is to eventually get students to think for themselves and generate their own solutions to their own problems. Math can help with this but only if we train students to think in a logical way as a normal routine.

Read more... 

Source: Walter Bradley Center for Natural and Artificial Intelligence

Four German-speaking philosophers in search of a theme | Philosophy - Spectator.co.uk

Steven Poole, Author, The Spectator Australia writes,Wolfram Eilenberger credits Heidegger, Wittgenstein, Benjamin and Cassirer with inventing modern thought. But a shared language was all they ever had in common.

Martin Heiddeger.
Photo: Getty Images

How do you write a group biography of people who never actually formed a group? Such is the challenge Wolfram Eilenberger sets himself in a book about the philosophers Martin Heidegger, Ludwig Wittgenstein, Walter Benjamin and — the surprisingly unstarry fourth subject — Ernst Cassirer, an urbane and now nearly forgotten neo-Kantian who might have deserved the made-up title of ‘symbologist’, thus far reserved for the heroes of Dan Brown’s novels.

What these men have in common is that they spoke German and were philosophically active during the 1920s, but that is about it. Heidegger and Cassirer met and traded rhetorical blows at a celebrated philosophy conference in Davos; Benjamin was envious of Heidegger’s success and Wittgenstein at least had heard of him. But they were all ploughing very different furrows — unless you ascend to the highest levels of abstraction and say, along with Eilenberger, that they were all interested in human beings’ relationship with language. Well, sure. Aren’t we all?

The book starts at the end of its chronological period: in 1929, Wittgenstein receives his PhD at Cambridge, while Heidegger and Cassirer arrive at Davos, and Benjamin is ‘troubled by concerns of quite a different order’ — his girlfriend has just kicked him out...

In the end the reader is prompted to wonder whether it was indeed these four men, and only they, who ‘invented modern thought’. Plenty of other candidates of the era come to mind, philosophical and otherwise — why not Niels Bohr and the other quantum physicists? (As it happens, Cassirer wrote a well-received book on Einsteinian relativity, as well as a later treatise on the idea of indeterminacy in quantum mechanics.) As for Heidegger, his membership of the Nazi party is still in the future as the book closes, and so Eilenberger absolves himself from having to address the thorny question of what that episode means (if anything) for an assessment of his philosophy.  

Read more...

Recommended Reading

Time of the Magicians:
The Invention of Modern Thought, 1919-1929
Source: Spectator.co.uk

16 of the best maths books 2020 | Reading lists - BBC Focus Magazine

The best books to help you understand the maths and statistics that govern life here on Earth by BBC Focus Magazine

Photo: Jimmie via Flickr

Maths. As a word, it may bring up terrible memories: row upon row of algebra equations, hours of precious childhood spent on confusing and complex sums. Even in our adult lives, some of us avoid using maths wherever possible – even physicists opt for research that has fewer mathematical equations on the page.

But it doesn’t have to be that way. These easy-to-understand non-fiction books will help you get a grip on geometry and be more confident using cosine, sine and tan… or they might just help you help with GCSE maths homework. Some will also shed light on the history of maths, through memoir or even fiction.

Read more... 

Source: BBC Focus Magazine

Beyond Socrates and Aristotle: Philosophers you might know | Greek Studies - Neos Kosmos

When citing Greece’s contributions to world culture – from democracy to theatre and athletics – philosophy is one of the first that come to mind by Neos Kosmos.

Busts of great philosophers.
Photo: PXFUEL

Unsurprisingly, its name is Greek, from philosophia meaning “love of wisdom”.

Unlike other practices and bodies of knowledge, such as architecture and visual arts, which were perfected but not invented by Greeks, Greece is believed to be the birthplace of Western philosophy, in that the notion of philosophy as the study of the basic axioms that comprise knowledge was actually created there.

There are of course older philosophical systems in the world, such as the Hindu Samkhya tradition, but they are generally believed to have developed independently, and there is no substantial historical evidence of contacts and exchanges between these cultures -until the times of Alexander the Great- that would suggest an influence of one over the other. Similarities between Hindu and early Greek thought are therefore generally considered incidental.

When thinking about Greek philosophy, certain names inevitably crop up. Figures like Socrates, Plato and Aristotle – each a disciple of the former- are held to universal acclaim and may often be referred to even by people completely unfamiliar with the study of philosophy...

We begin with the pre-Socratics, the philosophers that either preceded Socrates, or were his contemporaries but developed completely independent schools of thought with no influence from him. All the philosophers that followed Socrates, Plato and Aristotle were to some extent influenced by some or all of them, even if only by their differences.

Read more... 

Source: Neos Kosmos and Greek News Agenda

Digital Credentials: A Better Way Capture And Communicate Learning | Education - Forbes

There is an invention opportunity to better credential units of learning. Listed are six opportunities to better capture and communicate learning, notes Tom Vander Ark, Building the future of learning. 
Learner's Lifelong Learning Journey
Photo: Badgr.com
For hundreds of years we’ve relied on time as the primary measure of learning. Sit through a class and get credit. Accumulate enough credits and you get a degree. But a list of classes passed (a transcript) tells little about what a learner knows and can do. Add grades and the reputation of an institution and you get a little signaling value but the standard high school or college degree is a terrible communications of capabilities.  There is an invention opportunity to better credential units of learning, to open up individual learning pathways, to better communicate capabilities, and to reduce friction in talent transactions. 

The pandemic is accelerating this shift to verified credentials...

There are six opportunities to better capture and communicate learning.

Read more... 

Source: Forbes 

Creating an environment for effective learning measurement | Measurement - Chief Learning Officer

If we truly embrace our people as our most valuable corporate asset, invest in them as we would to maintain and grow physical assets, and surround them with opportunities to acquire new skills that directly align with corporate goals, the return on learning investment will naturally find its place among our top business KPIs, according to Andrew Temte, president and global head of corporate learning at Kaplan North America.

Creating an environment for effective learning measurement
Photo: Adobe Stock

I’ve spent most of my working career within the realm of professional education, focused on helping individuals achieve “yahoo!” moments in their lives through the attainment of industry-recognized licensures, designations and certifications. In this corner of the educational landscape, the measurement of learning efficacy boils down to a fundamental relationship between the credential and its ability to signal workplace competency, which ultimately unlocks new opportunities and improves the recipient’s lifetime earning power. In relative terms, the progression is simple: The learner does research (in consultation with mentors) and decides on the credential that fits with their career aspirations, fills any minimum requirement gaps, registers for the exam, studies a prescribed curriculum and passes the test. The process is deemed successful as doors open and pay and responsibility improve. Examples of industry-recognized credentials include CPA, CFA, PMP and a host of other acronyms.

In contrast, learning and development within an organization is more likely to be viewed as a cost and not an investment due to the lack of direct evidence that learning interventions lead to a demonstrable improvement in skill and competency for the learner or cohort and that skill improvement is tied to better organizational performance...

Changing the equation

One of the reasons learning takes a backseat to more tangible areas of the business is that it’s deemed to be unmeasurable. As a result, companies don’t invest what they should to maintain and grow their most valuable asset. Instead, learning is viewed as a cost and is the first thing to go when times get tough.

How can we align our actions and words with regard to our most valuable asset? How can we change the perception of learning and begin viewing it as an investment?

Read more...

Source: Chief Learning Officer

Number 10 cherry-picked 'spurious' Covid data to justify England's second lockdown and may have intended to frighten the public, top Cambridge statistician claims | Covid-19 - Daily Mail

  • Sir David Spiegelhalter suggested the Government tried to 'manipulate' Britons
  • Cherry-picked 'worst-case scenarios' to 'instill a certain emotional reaction'
  • No10 lambasted for its apocalyptic graphs and spurious data shown to public

Eminent statistician Sir David Spiegelhalter suggested the Government tried to manipulate Britons rather than genuinely inform them on the true scale of the crisis. 

The 4,000 deaths per day scenario was based on the assumption that there would be 1,000 per day by the start of November. There are on average 441 occurring across the UK as of November 23

Number 10 cherry-picked 'spurious' coronavirus data to justify England's second lockdown and may have intended to frightened the public, according to one of Britain's top experts.

Eminent statistician Sir David Spiegelhalter said ministers had 'broken pretty much every code of conduct' by choosing only to show worst-case scenarios, which were often based on out of date data.

The Cambridge professor told MPs today: 'I don't want to ascribe motivation to anyone of course. But if someone was really trying to manipulate the audience and frighten them and persuade them that what was being done was correct, rather than genuinely inform them, then this is the kind of thing they might do.'...

What I'm objecting to strongly is the fact such spurious data and graphs were being presented to the public as a justification for the decisions that were being made.

'You didn't need that graph, you just needed quite short-term projections to tell something needed to be done or we could be in real trouble very quickly.

'There is good data available and yet at some point the need to persuade people, to instill a certain emotional reaction in people seems to take over at really quite a high level of decision making. I think it's quite unfortunate.'...

The statistician was giving evidence to the House of Commons Public Administration and Constitutional Affairs Committee today.

Read more... 

Source: Daily Mail

Quantum magic squares | Mathematics - Mirage News

 /Public Release. The material in this public release comes from the originating organization and may be of a point-in-time nature, edited for clarity, style and length. View in full here.

The magic of mathematics is particularly reflected in magic squares by Mirage.

Detail from Melencolia I by Albrecht Dürer
Photo: National Library of Spain CC BY-NC-SA 4.0

Recently, quantum physicist Gemma De las Cuevas and mathematicians Tim Netzer and Tom Drescher introduced the notion of the quantum magic square, and for the first time studied in detail the properties of this quantum version of magic squares.

Magic squares belong to the imagination of humanity for a long time. The oldest known magic square comes from China and is over 2000 years old. One of the most famous magic squares can be found in Albrecht Dürer’s copper engraving Melencolia I. Another one is on the facade of the Sagrada Família in Barcelona. A magic square is a square of numbers such that every column and every row sums to the same number. For example, in the magic square of the Sagrada Família every row and column sums to 33...

In a new paper in the Journal of Mathematical Physics, Tim Netzer and Tom Drescher from the Department of Mathematics and Gemma De las Cuevas from the Department of Theoretical Physics have introduced the notion of the quantum magic square, which is a magic square but instead of numbers one puts in matrices.

Read more... 

Source: Mirage News

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