- Permutation Numbers
This paper investigates some series of integers which are derived from a recursively defined sequence of permutations of words. Such a recursion can be interpreted as a dynamic system. Geometrical representations of these series appear to be self-similar, symmetrical, and factorizable. The paper also shows how some bidimensional images may be decomposed into images corresponding to permutations of fewer symbols.
- Pi pseudoscience in the 21st century
"Pi and the collapse of peer review"
- Matters Computational
Ideas, Algorithms, Source Code
by Jörg Arndt
-via Interesting @Esoterica
- 23/07/2017My fractal social organizations channel on youtube!
Comments24/07/2017 #12 Anonymous#11 @Vincenzo De Florio, SuperMinds talk on Fractal Social Organizations (2014):
https://www.youtube.com/watch?v=XTLYDZTY_D0&t=716s&list=PL46wI3I3c-qKh68XBxZM-R8_uv1eh8jFC&index=124/07/2017 #7 AnonymousDear @Vincenzo De Florio, Your scientific investigations related to the fractal organization of society are of great importance and it will be even more significant in the near future. Today, this is a "science fiction" for many, but tomorrow it will become a reality and a driver for some real progress. I wish you a lot of success and perseverance my friend!
- 23/07/2017The Math Less Traveled -- Explorations in mathematical beauty
A few words about PWW #20
- 21/07/2017ÉTIENNE GHYS
A SINGULAR MATHEMATICAL PROMENADE
Picture: Caspar David Friedrich
the sea of fog” (1818)
- 20/07/2017THE CANTILEVER PRINCIPLE
This great photo from 1887 shows the engineers who designed and built the world-famous Forth Rail Bridge in Scotland. A human bridge model was used to demonstrate the cantilever principles behind the bridge.
Comments22/07/2017 #11 Lada 🏡 Prkic#10 I've read the story behind the famous photo. Kaichi Watanabe graduated from the University of Glasgow. When he had returned to Japan, he founded the Japanese railway system.
Ken, thank you for sharing your memories. The bridge is really a magnificent structure and a wonder of the modern world.22/07/2017 #10 Ken BoddieClassic photo, Lada, depicting one of the first Japanese engineers to study and work in Scotland, Kaichi Watanabe, being supported by the famous Forth bridge designers, Fowler and Baker. But for me this picture is more than a historic portrayal, as this imposing structure was something I gazed at in awe every year when my parents told me south by road to Edinburgh and beyond. No road bridge in those days and we had to wait for the ferry to take us across the Firth of Forth. On other occasions I rode the train, as a young boy, across this mighty bridge . Thanks for the memories.21/07/2017 #9 Lada 🏡 Prkic#8 Manjit, I didn't even notice what you pointed about the video. :-)
As a woman in STEM field, I don't see the gender disbalance in my country. Croatia has very positive statistics on this issue. For example, at the Rudjer Boskovic Institute (a leading scientific institute in the natural and biomedical sciences), more than 60% of scientists and researchers are women.
Thanks for the link to TED talk.20/07/2017 #8 CityVP 🐝 Manjit#6 Clay Shirky calls organizing and creating that kind of video as "cognitive surplus" https://www.ted.com/talks/clay_shirky_how_cognitive_surplus_will_change_the_world
The only down point of that video is that it says 8 Guys instead of 8 Students. Since the Maker Movement is a part of 21st Century existence we should highlight that girls should be playing a fundamental part in its growth and development - and there are side projects aimed at ensuring this emerging culture is gender neutral http://ngcproject.org/story/lets-invite-girls-makers-movement20/07/2017 #6 Lada 🏡 Prkic#5 Thank you for sharing and commenting, Manjit. I also find this photo to be informative and inspiring. It's inspiring in the way that there are many novel re-enactments of the Human Cantilever like this one made by students at Università IUAV di Venezia → https://youtu.be/jBdmAyyUnHs
As you said, young people are enjoying tinkering with engineering principles.20/07/2017 #5 CityVP 🐝 ManjitThe maker community will be interested in this and this community is growing again, young people are discovering again what craft is, enjoying tinkering with design and engineering principles. We are too consumed these days with political noise to notice that such a community is on the rise, and it is not just because of the introduction of 3D printing, making is interesting bright people again. What this photograph does is a practical communication of engineering principles that might awaken the curiosity of people whose attention is somewhat distracted by the shenanigans and the marketing of modern media.20/07/2017 #4 Lada 🏡 Prkic#2 Indeed, @Ian Weinberg. The bridge itself is an example of human ingenuity. Today we can't imagine designing even the simple building without the complicated structural design software. But until recently, such structures were a product of human ingenuity, not the computer software. Thanks for commenting. :-)20/07/2017 #3 Lada 🏡 Prkic#1 Thank you, Joanne, for such a beautiful comment. I'm also in awe with this photo and a simple but brilliant representation of the basic physic's principle. It served to convince the skeptics that cantilever concept is the right choice for long-span bridges. Seeing is believing. :-)20/07/2017 #1 Joanne GardockiGreat find, @Lada 🏡 Prkic. There are so many things we take for granted. Sometimes it is hard to remember there was a time when accepted technology (lightbulbs, phone, TV, movies with color and sound) were new and awe-inspiring amazing magic Thank you for the reminder and reconnection to that sense of awe..
- 06/07/2017"...theoretically many different potential combinations could form other kinds of baryons..."
- 01/07/2017Of all human substances, the most perfect in apperception was that of
Gottfried Wilhelm von #Leibniz (1 July 1646 – November 14, 1716)
"But from thine eyes my knowledge I derive,
And，constant stars，in them I read such art
As truth and beauty shall together thrive."
by Terry Winograd
Comments23/06/2017 #7 CityVP 🐝 ManjitMy word Vincenzo! This resource extends to nearly 900 pages and that does not even include Steven Wolfram's notes, and the way it has been placed online is the best form of digital navigation I have seen, what a way for him to share his life's work. I am saving this link to my desktop, what a great reference source to have at one's finger tips. Marvelous !
- 13/05/2017THE AMAZING TETRAHEDRON ► https://www.bebee.com/producer/@lada-prkic/geometry-all-around-us
A tetrahedron is the simplest Platonic solid.
It is composed of only four triangular faces and four vertices.
It is its own dual.
The tetrahedron shape is seen in nature in covalent bonds of molecules.
Image: Sierpinski tetrahedron, a 3D evolution of the fractal Sierpinski triangle.
- 01/03/2017Enjoy maths !Javier beBee 🐝🐝 on Twittertwitter.com “@beBee, an engagement-based community ! Enjoy #maths !...
Comments01/03/2017 #3 Paul "Pablo" CroubalianLMAO... Proof that communication is key.
#1 Javi, I had little choice but to be good in Math. I'm the son of a Doctorate of Mathematics.
What I like best about Math is that there is no gray area... it's right or it's wrong. But, I remember a professor who would run through a blackboard full of equations to arrive at 3=5. The error was so subtle I missed it the first time.
- 15/02/2017EP#33 DR. JONATHAN FARLEY - USING MATHS TO WIPE OUT TERRORISTS - THE GREY AVE PODCASTwww.greyjabesi.com You can also click here do download This is a part 2 of my conversation with Dr Jonathan Farley. If...
- Producer09/02/2017The Complexity of ChoicesWhere we stand has an important role in affecting our future. If we nudge a ball on a flat surface we may predict its next position. However; if we apply the same nudge on a ball standing on a peak with a rough surface who would predict its next...
Comments10/02/2017 #39 Deb 🐝 Helfrich#38 Exactly, @Ali 🐝 Anani, Brand Ambassador @beBee. We are squandering our time on hundreds of meaningless daily decisions and missing the crucial ways all of these choices are the root cause of the destruction we are doing to our own health and the demise of the planetary ecosystem.
"Time to pause and think and even if we don't have the time we should make it."10/02/2017 #38 Ali 🐝 Anani, Brand Ambassador @beBee#37 @Deb 🐝 Helfrich- your comment is timely, precise and brings new points to the discussions so far. You wrote "We are propagating drastically unintended consequences when so much human energy and potential is expended in so many varieties of products...". This is a valid point. Today I commented on a post on LI by @Sara Jacobovici about time. I mentioned in my comment that we have much less time to choose from a widening range of choices such as products. Tis leads to loss of focus and having less pause time to make choices wisely. Now, you even increase this tension by mentioning "In any big box store 80%+ will have dire warnings about swallowing for a product solely intended to be used in our mouth!?!? Where shall all build up of tension shall lead us? Time to pause and think and even if we don't have the time we should make it.10/02/2017 #37 Deb 🐝 HelfrichThis was a buzz worthy of letting roll around the bumpy incline of my brain overnight, @Ali 🐝 Anani, Brand Ambassador @beBee.
"As we increase the tension of having more choices or alternatives, the more likely we move towards chaos."
I feel this all the time, and really appreciate the story that @Steve Brady shared about toothpaste. IT IS ABSURD.
We are propagating drastically unintended consequences when so much human energy and potential is expended in so many varieties of products, mostly created by a handful of large companies, that are actually harmful despite the pretty packaging. In any big box store 80%+ will have dire warnings about swallowing for a product solely intended to be used in our mouth!?!?
Why are we allowing the marketplace to be about sustaining its crazy structure, rather than as a tool to enable humans to live fuller, healthier lives?10/02/2017 #35 Ali 🐝 Anani, Brand Ambassador @beBee#34 Again, this is a very relevant point, @Jared 🐝 Wiese. I wonder if taxes were increased gradually in small doses would have ended differently. Unfortunately, decision-makers tend to prefer reactions and changes in noticeable percentages. That might yield to more disruption than ever imagined.10/02/2017 #34 Jared 🐝 Wiese#32 Glad you liked it and that it was relevant :)
Your post also got me thinking about the one-time tax rebate that Bush did after the 2008 Great Recession. Did it have the expected benefit, getting people to spend more? I believe it had the opposite effect - people saved it as they were stuck in homeostasis - afraid of losing their jobs and not having enough money.
"President Bush also authorized the U.S. Treasury to mail out a one-time tax rebate in 2008. It was unsuccessful in preventing the financial crisis."10/02/2017 #32 Ali 🐝 Anani, Brand Ambassador @beBee#30
Great comment, dear @Jared 🐝 Wiese. I watched the first link- a 10 minutes video about motivation. THis is a timely video and adds support for this buzz. Monetary motivations work as expected, but suddenly they work in the opposite direction by lowering productivity. Human, human behavior is strange. Will check the other link today. I am full of gratitude to your comment, Jared10/02/2017 #31 Tausif MundrawalaIt is upto us how we see the situation ? Is it from the parallel axis or perpendicular axis, where this means this and that means that. We should always see the problem from the prism of founding solutions rather than spending time studying only the theories behind those problems. Again a mind stimulating buzz, Sir Ali Anani.10/02/2017 #30 Jared 🐝 WieseGreat post, Dr. @Ali 🐝 Anani, Brand Ambassador @beBee!
It inspires some good thought. And more thoughts.
One that came to mind was Dan Pink's DRiVE on worker motivation for the work that pays for those extra taxes - or anything for that matter:
Another thought was resetting our set-points:
https://www.bebee.com/producer/@jaredwiese/comfortably-being-uncomfortable10/02/2017 #25 Ali 🐝 Anani, Brand Ambassador @beBee#24 I am honest with people and I try to be as clear as possible. I have just commented one of your old buzzes on wisdom and understanding and I found the buzz quite an enjoyable read. Honestly, writing in simplicity reaches the heart faster. In your comments here and your mentioned buzz both "entered" my heart for the same reason. Great thinking expressed in simple words. This formula brings BOTH understanding and wisdom. You did it.10/02/2017 #22 Ali 🐝 Anani, Brand Ambassador @beBee#21 Dear @Max🐝 J. Carter- this time your comment is s clear, transparent, explanatory and truly deep. I agree with you on all fronts. You wrote "Their ups are small and their valley is low.
To truly improve tings for all one must think of all as one makes ones choices and think about the impact to the sum.10/02/2017 #20 Ali 🐝 Anani, Brand Ambassador @beBee#18 You are the "King of Commenters" dear @Steve Brady. Your sharing of the toothpaste story makes your readers live the experience of the tension we may have when we have too many choices to make with no real differentiation factor. I am so please that you highlighted the idea of tension holding-capacity as this is a key point in the buzz. Your writing "I am fascinated by your extension of the Laffer curve as a metaphor applied to human behaviour and tension-holding-capacity." simply made me very happy. I am truly grateful to you and your good words.10/02/2017 #19 Ali 🐝 Anani, Brand Ambassador @beBee#17 Beautiful and deep comment that you wrote dear @Mohammed Sultan. You expanded on the issue of the tension of choices and their compromise. I do have few ideas percolating in my mind to expand on your comment. I am truly grateful to you my friend.09/02/2017 #18 Steve BradyDear Ali, you've served up fascinating food for thought. You're a veritable "chef of emergent awareness"! Firstly, thank you for making me aware of the Laffer curve. I have minimal knowledge of economics, and so therefore have often wondered about the vagaries and inequities I see in the taxation system here in Australia. I am fascinated by your extension of the Laffer curve as a metaphor applied to human behaviour and tension-holding-capacity. I can recall in the early days of my Post Traumatic Stress Disorder recovery journey, I went to a supermarket to buy toothpaste. Standing at what appeared to me as an endless array of toothpaste brands, flavours, etc was like standing in front of an avalanche of choices. I felt paralysed ....the neatly stacked, but vast number of toothpaste choices tipped my rationality into a chaotic state, and a debilitating tension. I don't know how I did it, but I eventually chose one, paid for it, and then escaped from the supermarket as fast as I could!
I've learned that the choices we make aren't as simple , intentional, or "clear cut" as we may believe. Rationality isn't always the king of the castle.09/02/2017 #17 Mohammed SultanThere's always trade-off in choices if not well planned can lead to chaos.The happiness curve always involve a trade-off between goods or services and money.For example;if you spend more money on rent ,you will have less to spend on entertainment.If you buy more clothing ,you have less money for food.People choice can then be determined by the possible combinations of the purchase of two commodities at given price, given a fixed amount of disposable income.
When it comes to money and happiness the economists should focus on the important things related to both of them.The color of a person's hair and eyes is probably not important ,but the color of his or her skin certainly is.Height and weight may not matter ,but education probably does.Proceeding this way may also be dangerous because any deviation from the truth may be multiplied later and may also lead to chaos.So,we have to be careful in our analysis and interpretations.My words can not convey my real feeling towards the depth and the width of your analogies Dear@Ali Anani PhD.
- 24/01/2017The Paradox of the Three Prisonersmedium.com If you’re into counter-intuitive probability puzzles (and who isn’t?), then here’s another for you, originally published by Martin...
- Producer28/11/2016Iteration of IdeasOur world is full of surprises. The expected and simple interactions may lead to complex behaviors with unpredictability that surpasses our imagination. The behavior of many systems shows this "anomalies". They include the weather, the...
Comments02/12/2016 #41 Steve Brady#40 Dear Ali, thank you for your encouraging reply. Your thoughtful posts have certainly been a catalyst for fascinating discussion. If I may also encourage you: the way you genuinely interact with commenters on your posts is a blessing. You are gifted with the ability to articulate wisdom and at the same time engage with your readers to search for further wisdom.01/12/2016 #40 Ali 🐝 Anani, Brand Ambassador @beBee#39 @Steve Brady- amazing comment with its potential and practical examples.Led it and read it few times. Each time I ponder on this part "From my growing understanding of Fractal Perspectives it is from this state that we can see beautiful symmetries emerge and iterated patterns of coherent relationships emerge". Well, I see the patterns emerging when I read a comment by you. SOon, I am responding in a buzz to your very great comment.
While reading this comment you really got me curious to read your comment on my following buzz. I feel you have so much to add:
https://www.bebee.com/producer/@ali-anani/two-illusions-don-t-make-a-fact#c1901/12/2016 #39 Steve Brady#33 Thank you, @Ali 🐝 Anani, Brand Ambassador @beBee. I too remain curious, as a life-long learner from published works, but also the "textbooks" of human beings in inter-relatedness. When I was trained in Restorative Justice, we were urged to interview thoroughly so as to aim for "no surprises". Thorough empathic conversations with affected parties is so often therapeutic in themselves, however, I am still amazed that every "circle" we formed in order to facilitate meetings between stakeholders, seemed full of potentialities...ranging from complex abreactions and fearful responses to wonderful unscripted reconciliations. One important key for me is that whenever people are gathered in community, even a private Restorative Justice meeting, is an open system, rather than a closed one. A second key that is important for me is to not fear "chaos". No one wants mayhem of course, but as I learned from reading "A Different Drum" by the late Dr M. Scot Peck, true community can emerge from the "chaos" of people feeling safe enough to lay down their facades and pretences, and be "real". From my growing understanding of Fractal Perspectives it is from this state that we can see beautiful symmetries emerge and iterated patterns of coherent relationships emerge. The lesson for me is to encourage potentialities, to be open and resist habitual control. Instead, be more like a true scientist, an explorer of truth. Herein lies the essence of respectful and powerful peace making.30/11/2016 #37 Ali 🐝 Anani, Brand Ambassador @beBee#35 Your snowball example is simply genius. I know you wrote this comment partly from your own experiences, dear @David Navarro López. What a lovely illustration this is! Yes, we have nor control on the path of the snowball. es, we may have no control over the stones that may change the trajectory of the snowball, but we may always try again. Like you said, an oak tree doesn't produce pears. I feel you may extend this to a great buzz. You added a new meannig o the behavior of snowballs. We always need a fresh start.30/11/2016 #36 Ali 🐝 Anani, Brand Ambassador @beBee#34 #34 Dear @David Navarro López- this is a gem and your observation struck me too to the bones "One thought it shocked me to the bones, is that the day I stopped looking for explanations, is the day I started understanding life". SOmetimes we get over-stressed trying to understand and by doing that we are actually reducing our ability to understand. When things become too complex to understand, this is the time to relax and only then we may think of new approaches, new ideas and new thinking. There are so many things in life that we still don't understand. That is why I introduced the term "passionate curiosity".30/11/2016 #35 Anonymous#32 Part 2 But one thing was clear to me. (Again, a Spanish saying) You can not expect pears from an oak. So in order to promote the best scenario for both bees and hives, the only way I have found which is always certain, is to influence every action and ideas coming out with the highest human values. Here is, and only here, where we can have a part of control and responsibility about how things are going to develope, but just at the initial stage. You love analogies, and I like to look at it as a snow ball rolling down a hill. One can't know how it's going to end, but if one makes a big ball of "positive snow" and throws it aiming it in the right direction, it is more than probable it will end as you wished. Or maybe not. And if not, we can not run down to the hill and try to put away the stones that modified the trajectory of the ball. The ball will go faster, and stones are countless. Much better, make a new ball and aim it differently. If you are lucky, you will succeed. If not, better keeping "enhancing the ball" (which is under your direct control) rather than loosing the time asking why, as we can't be in two places at the same time.30/11/2016 #34 Anonymous#32 Part 1 Dear Ali, you know I am very interested in human behaviour, and I have been digging on it in any possible way a long time. One thought it shocked me to the bones, is that the day I stopped looking for explanations, is the day I started understanding life. Because as you are pointing out, "Humans interact and ideas may become heavily populated and their growth may be limited by our capacity to fully comprehend them" The feedback to our actions (or ideas), the more reach they achieve, the more complex they become. Being a practical man as I am, and having in mind the mentioned interacting between bees and hives, I switched from trying to understand the process, to trying to provoke the process in a trend it suited the mutual benefit fo bees and hives, due to the unavoidable fact that our energies and capabilitiy of comprehension are far too limited to reveal the ultimate consequences that feedback might cause modeling and transforming the original inception of it.29/11/2016 #33 Ali 🐝 Anani, Brand Ambassador @beBee#22 9 @Steve Brady- your comment is a source of huge curiosity for me to find more from your experience ".what a thought provoking post. I have found many times that a simple, single social interaction, personal or virtual, can lead to pleasing complexities". Your examples shall be mind-provoking and I sincerely hope you share dew of them with us.29/11/2016 #23 Mohammed Sultan#19 By birth control I mean putting a strategy aiming at raising per capita income with the same available resources and so too bettering people's health ,educational and job opportunities.I mean also giving people more chance to participate in public life.Simplicity is not also built on being alone ,isolating yourself from the current of events.If you have a vision and continuous and self-monitoring then you will realize that the simple formula about human development would be Sharing=Caring.29/11/2016 #22 Steve BradyWow @Ali 🐝 Anani, Brand Ambassador @beBee...what a thought provoking post. I have found many times that a simple, single social interaction, personal or virtual, can lead to pleasing complexities. I am a Restorative Practices and legal reform advocate. The human behavioural equation you include is very helpful. "Scripted" approaches that ignore or even suppress potentialities very often stifle the rich and deep Justice and healing that is possible between people and in communities.28/11/2016 #20 Deb🐝 Lange, Brand Ambassador @beBeeDear @Ali Anani have many ideas spinning around, but I will share just one at the moment about population and the ascent of feminine energy in both men and women. in Japan there are young men who are called “grass eaters” - they are like plants and have no sexual desire.
This will help contain population. Perhaps our DNA is changing as innately we know there are enough people in the world and we do not have to populate for survival of the human species.
- 31/10/2016@Phil Friedman and @Milos Djukic thought you might both be interested in this book shown here. The author explains in laymen's terms six of the numbers that control our universe.
I quite literally dreamt-up the the equation √1¼ + ½ = ϕ, I have observed a sprouting and growing tree whose branches grew with that formula in precision. This made me believe that math and physics will prove a Theory of Everything, though, perhaps, only after our collective dust has become part of a star one day.
- 26/10/2016Évariste Galois (French: [evaʁist ɡaˈlwa]; 25 October 1811 – 31 May 1832) was a French mathematician born in Bourg-la-Reine. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a problem standing for 350 years. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra, and the subfield of Galois connections. He died at age 20 from wounds suffered in a duel.
Shorter video more educational !Galois: Biography of a Great Thinker Évariste Galois was a great mathematician who led a short, tempestuous life. He made fundamental contributions to a number of fields in math, including...
Comments26/10/2016 #1 CityVP 🐝 ManjitIf Galois Theory http://www.math3ma.com/mathema/2015/8/31/what-is-galois-theory-anyway is a difficult proposition for mathematicians, think what it is for ordinary mortals like us who have not even confronted math anxiety http://www.vocativ.com/229603/math-anxiety-phobia/