- 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...
- 08/10/2016The mystery of 0.577 - Numberphile The harmonic series and the elusive Euler–Mascheroni constant. Featuring Dr Tony Padilla. Audible: http://www.audible.com/numberphile Extra footage:...
- 20/09/2016The National Gallery in London ► An example of the use of the golden ratio (φ) in architecture.
The mathematics of the golden ratio and of the Fibonacci sequence are interconnected. That is why the golden ratio is typically presented as a Fibonacci spiral which approximates the golden spiral, using Fibonacci sequence square sizes up to 34.
More on → http://mathforum.org/dr.math/faq/faq.golden.ratio.html
- 13/09/2016Mathematics can mimic real life!
The shapes of natural trees with their branches are fractal-like and self-similar in pattern. This mathematical tree is also a self-similar tree with branches scaling according to the golden ratio ► Φ.
- Producer25/08/2016The Form FractalFractals are the manifested Form of the Universe. Ubiquitous. Omnipresent. Self-evident in the micro-verse as well as the macro-verse. Endlessly replicating in the microcosm and the macrocosm. The building blocks of the material universe.From...
Comments25/08/2016 #3 Praveen Raj Gullepalli#1 Dear @Ali Anani...absolutely relieved to know I was on the right track, as I had promised something worthy of your attention...in the continued fractal quest. And thank you so much for those words of appreciation...truly ! Yes Sir, I will be reading your latest shortly...also wanted to convey that the earlier buzz on Form has a twin too...a smaller offshoot, a rider perhaps, that sprung up from fractal vortex while I was connecting the dots. WIP. Shall share it soon.25/08/2016 #1 Ali AnaniDear @Praveen Raj Gullepalli- my friend you buzzed my heart out (to steal the expression of the adorable @Pamela L. Williams). This is a fractal buzz and by this I mean of beauty. The beauty of of your dedication, the beauty of your thinking and the beauty of your perspective to fractals. You wrote "Where the Fractals interface smoothly, they merge to form a seamless fabric of tangible, harmonic expression and being. Where they do not, there is Chaos". This requires deep thinking, but I love your saying how the intangible leads to the tangible.
I am so glad that I have my name mentioned in your beautiful post. Equally pleases I am as we both wrote about fractals today. See my friend how your buzz integrate with my buzz of today "The Fractal AMbassador" and you shall be pleased.
- Producer10/09/2016√1¼ + ½ = ϕThis little buzz was inspired by a BIG honey production by queen bee, Lada Prkic. Following is the link to her fantastic research paper. Either way please return to the little gem below.Lada Prkic's research paper "Geometry All Around Us"Thank you,...
Comments11/09/2016 #19 Lada Prkic#18 You are right, Ben. I am just saying that these expressions of Φ are the solutions to quadratic equation Φ^ - Φ – 1 = 0.
Phi also occurs in geometry of a regular pentagon. Connecting all the points of the pentagon and forming 5-pointed star we have triangles with sides 1 and Φ, and angles of 36 (18), 54 and 108 (54) degrees.
Based on the relations between sides and angles of these triangles we have following expressions for Φ:
Φ = sin (54°) x 2 or cos (36°) x 2
Φ = 1/ (2 x sin 18°) or 1/ (2 x cos 72°)
Perhaps we can create a new hive about golden ratio, Fibonacci numbers and other related subjects. 😊10/09/2016 #16 Lada PrkicDear Pinto, exact value of ϕ is (1+√5) / 2, i.e., 1.6180339887...... . This is the solution to quadratic equation ϕ^- ϕ -1=0 derived from specific ratio between two numbers a/b = (a+b)/a = ϕ
For more detailed explanation please see the link in the buzz http://mathworld.wolfram.com/GoldenRatio.html10/09/2016 #11 Ben Pinto#10 me too Paul. One year I made the math teacher a dealio "I will copy the math homework answers on the chalkboard for you, and in turn, I am excused from doing said homework." At the time I didn't realize that this manupulation was not really benefitting me, but was only Benny-fitting me.10/09/2016 #1 Ben Pinto@Lada Prkic and those that commented on your amazing publication that I tributize here: @debasish majumder , @Ali Anani, @Dean Owen, @Aurorasa Sima, @Ken Boddie, and others @Milos Djukic, @Margaret Aranda, MD, PhD, @Christine Andola, and @Sara Jacobovici, @Paul "Pablo" Croubalian, @Loribeth Pierson, @Donna-Luisa Eversley please tag this along or share to larger hives as you see fit. Thank you.
- Producer09/09/2016Geometry, All Around UsGeometry is all around us, and we are surrounded by myriads of geometric forms, shapes and patterns. Every living organism and all non-living things have an element of geometry within. Understanding the natural world requires an understanding...
Comments25/09/2016 #59 Lada Prkic#57 Thank you very much! You beautifully compiled other people's thoughts, but your idea is a seed for all these thoughts. :) I'd love to have the time to write a post about shapes and colours of humans. I am just writing another buzz related to geometry, which is obviously my first love.13/09/2016 #47 Lada Prkic#45 The sacred geometry is an extremely fascinating concept. I agree, Savvy, that it takes time to fully comprehend its principles and applications. Thanks for the link about the celestial DNA time spiral. I am just at the beginning of my fractal journey, but I shall try to learn more about this.13/09/2016 #46 DILMA BALBI -Contratos e Gestão#37 So do I Lada Prkic. Certainly it is my pleasure to get in touch with you, "noble colleague" and have the opportunity to read your article. @Ali Anani and @CityVP Manjit 's comments contributed even more views, as big thinkers they are. My pleasure for sure, thanks12/09/2016 #45 Savvy RajThank you @Lada Prkic certainly it is as well my pleasure indeed. The sacred geometry reveals more than we can comprehend at a time Sharing a link I came across recently. Perhaps this is relevant to a few here Chk this out .http://infinity-codes.net/n.t.f.m./celestial-dna-time-spiral.html11/09/2016 #42 Dale Masters#36 Bless you, @Lada Prkic. As a researcher and writer, it's a habit of mine to follow links in articles. I enjoy it immensely, even if I never use any of the material I read. As a reader, you are my kind of writer! You break down difficult information, and make the subject matter engaging, no matter what one's level of expertise.11/09/2016 #40 Ali AnaniI have a habit of re-visiting posts that move me. I am visiting this one again. The comments are superb. I just remembered I co-authored a presentation on shapes. I started the initial seed, and then invited other authors to contribute. I think you shall enjoy this one @Lada Prkic.
Comments13/08/2016 #16 Edward Smith#3 @Gerald Hecht, of course you know he math! 😂 I read Chaos when I was in my twenties. Extremely fascinating. I agree with your point. When I take in the beauty of fractal art, I do not think about the mathematical process. The math which creates such beauty is another art to behold all unto itself. However, I find the center, the point of initial contact and imagine the beautiful synchronous expression from that single point in space. To me, that is he beauty of art and why it is vital to keep supporting arts education. Studying the arts provides the fertile ground for creative thought, which is vital to further advance science.13/08/2016 #15 Gerald Hecht#11 @Vincenzo De Florio Thank you for the kind words! I must have been in my teens when I read Gleick's book entitled "Chaos"...it lead to much self study, as it was not an accepted (or taught) paradigm in US high schools. By the time I got to graduate school, I had learned "some stuff "...that my peers had not ;-)13/08/2016 #11 Vincenzo De Florio#5 The Math of Swarm... dear @Gerald Hecht, you have a magnificent "mathematical sensitivity"! I think it's impossible to express it any better. As you realized, the digits here represent roles, such as those of the bees in a hive! I'm impressed by the beauty of your expression as well as by its semantic density!13/08/2016 #4 AnonymousOhhhhhhh what do those numbers mean and how do they make a star and I'm fascinated and wish I remembered math but alas I was a literature major and had to support myself divorce drop out. 2+2 does or does not equal 4? Who will ever tell me with any certainty? Sigh. But oh do I love this Star. Shine bright!!!! :-)11/08/2016 #2 CityVP ManjitI like viewing it as a hexagonal fractal but in the spirit of fractal friendship I shall bow to the notion that beauty is in the eye of the beholder if we choose to see a star here - and I am beholden or to the open minded spirit of @Gerald Hecht View moreI like viewing it as a hexagonal fractal but in the spirit of fractal friendship I shall bow to the notion that beauty is in the eye of the beholder if we choose to see a star here - and I am beholden or to the open minded spirit of @Gerald Hecht for why do I need say in a paragraph here what a simple "Fantastic" captures and says it best. Close
- 26/07/2016A great comment by @Milos Djukic made in a buzz written by @Anees Zaidi about the quality of buzzes at BeBee and also related fractal mindset. COMMENT was
Thank you very much @Anees Zaidi. Some thoughts already published elsewhere here again...I used to write about self-similar concept. Fractals can be exactly the same at every scale (self-similar and self-replicative), but also nearly the same at different levels. Only in the first case they are exactly self-similar. But also there are the following possibilities: Quasi Self-Smilarity, like the Mandelbulb, which I use as a picture in my Twiter account (partial copies), Multifractal System (with the different fractal dimensions) which corresponds to a society where individuals could be completely self-similar, but with different fractal dimensions (like Anees Zaidi and Milos Djukic in this particular case:)), and finally the most obscure aspect connected with Statistical Self-Similarity which reflect the most current state of social structure in which randomly generated fractals (humans) have a chance to make a new Renaissance, which is far from totalitarian single-mindedness as expressed in Star Trek Borg Collective model, Equilibrium movie by Kurt Wimmer, Nineteen Eighty-Four by George Orwell, Kafka's "Der Process" or in "The Brave New World" by Aldous Huxley.Mathematics Documentary | Decoding the Language of the Universe | History Films Mathematics Documentary | Decoding the Language of the Universe | History Films. Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is...
Comments27/07/2016 #5 CityVP Manjit#2 Dear Joanna I am inspired to know my inspiration but inspiration is not enough in itself or by itself for my life, so today I have personally reflected about that https://www.bebee.com/producer/@cityvp/inspiration View more#2 Dear Joanna I am inspired to know my inspiration but inspiration is not enough in itself or by itself for my life, so today I have personally reflected about that https://www.bebee.com/producer/@cityvp/inspiration Maybe I am wasting my supernal energy, maybe I can inspire it to be much more than I had previously imagined it to be? Close
- 24/07/2016The number of high quality buzzes has skyrocketed on beBee accompanied with thoughtful and reflective comments. I need more than 24 hours in a day to absorb the rich contents and reflect upon. Can we make fractal and multi-fractal time series to expand the time span in a day? I look upon @Milos Djukic for help and guidance.
Comments29/07/2016 #48 Gerald Hecht@Anees Zaidi Hi., we humans have filled the oceans with sounds (vibrations in the water in a range of magnitudes and wavelengths which aren't vital for human biology i.e., SONAR, Diesel Engines) ... and are starting to see phenomena such as "POD COLLAPSE" in various species of dolphins/whales...the CARNAGE WASHES UP ON BEACHES AROUND THE PLANET, we dispose of their of their corpses, and life goes on...we are confusing the VERY HONEY BEES, WE CLAIM TO WORSHIP HERE...bybfucking with the underlying biological/physiological necessary and sufficient conditions needed for their survival, (it's not just herbicides, pesticides, microbe ads in girlie/manly grooming products ); the worst culprit is an atmosphere filled with WI-FI /radio waves ...which, since: "WE DON'T"HEAR; MUST NOT BE SOUNDS". A person is enthusiastically playing their latest musical composition on a DOG WHISTLE; AND IS SUBSEQUENTLY COMMITTED TO A PSYCHIATRIC FACILITY --"SUFFERING" FROM AUDITORY HALLUCINATIONS AND DELUSIONS. "NOBODY ASKED A SINGLE DOG FOR THEIR OPINION. #4629/07/2016 #46 Anees Zaidi#37 Excellent explanation and advisory dear @Gerald Hecht -"on a suicide mission"... 'attempting to override necessary biological cyclicity to a "preprogrammed, automated Buzz feed sequence via Twitter" or similar non-biological system'. Simply put for a person like me with non-specialized knowledge in the field "Don't go against biological order". Am I right?29/07/2016 #44 Gerald Hecht@Milos Djukic nobody need panic yet.. But it needs tI've beyond metaphysical, fractal poetry...It looks like my comments are vaporizing... Main thing is I did the experiment myself last night...I went around the clock, I felt it, it can be fixed by the correct choice of experts--I'm not bragging. I can be Di Capprio in Inception on this one if needed29/07/2016 #43 Gerald HechtOkay this is already being... I get it..secure channels: gotta get my son; listen carefully to this piece of Americana from the dawn of the industrial revolution as performed by Bruce Springsteen--this IS the proof of concept https://www.youtube.com/shared?ci=rHyh5O7EkSo29/07/2016 #41 CityVP Manjit#33 Dear Milos, today has been a humungous day for content collation with several pieces I want to check that were sparked off in a dialogues in the Disruption of Thinking blog and now I find this http://store.elsevier.com/Dynamical-Systems-in-Social-Psychology/Robin-Vallacher/isbn-9780127099903/ View more#33 Dear Milos, today has been a humungous day for content collation with several pieces I want to check that were sparked off in a dialogues in the Disruption of Thinking blog and now I find this http://store.elsevier.com/Dynamical-Systems-in-Social-Psychology/Robin-Vallacher/isbn-9780127099903/ which opens a whole new door of material - so now I have three fronts of study opened up for my weekend - this has been an incredible day for opening up of new vistas !!! Close29/07/2016 #40 Gerald Hecht@Milos Djukic, I joke around a lot, but there are certain thingies where ... I 'll tell ya what..,I gotta pick my son up from soccer camp, I can send you exemplars of state of the art journal references on the issue...FWIW, NASA likes to promote exercises in prolonged space flight aboard the ISS as "preparation for manned missions to Mars"...that's a nice soundbite, and it may be a potential spinoff...but the research grants are really biomedical hypotheses regarding the necessary and sufficient conditions for human survival...(the recent "thingie" with the Kelly brothers, identical twins (definition of clone at the DNA level), both astronauts, one spent one year aboard the ISS, the other was not permitted to leave the planet, and they both underwent Identical daily biomedical #3829/07/2016 #37 Gerald Hecht@Milos Djukic, yes actually...well, let me rephrase, Yes, in the Neurosciences...and, indeed in many areas of Physiology; for example, a naturally occurring increased variability (fluctuation) in basal rhythmic contractions in cardiac neuromuscular junctions (the so called purkinje (colloquially known as the pacemaker cells) which is naturally found in some individuals is correlated with a greatly reduced risk of sudden cardiac arrest and deaths from same resulting from ventricular arrhythmia (fibrillation) as well as reduced risk of thrombotic stroke, associated with atrial arrhythmia...also a similar increased Mandelbulb variation in mood seems to PARADOXICALLY DECREASE the risk of Mood Disorders (such as Major Depressive Disorder and Bipolar Mood Disorder) compared to individuals with MORE stable baseline mood and affect PRIOR to the onset of mood disorder Symptomatology; importantly, the BIGGIE, is the one I initially mentioned; shift workers, as well a potential bees who may try to adapt their circadian rhythms to increase to approach 24/7 presence, are --I'm going to be as forthcoming as I can here, "on a suicide mission"...attempting to override necessary biological cyclicity to a "preprogrammed, automated Buzz feed sequence via Twitter" or similar nonbiological system --this not something to take lightly; I have personally seen "the carnage", in both animal models and in the clinic; #3328/07/2016 #33 AnonymousGood times for a change... @Gerald Hecht, Any thoughts?."Has chaos theory found any useful application in the social sciences?" on scientificamerican.com (October 21, 1999): http://www.scientificamerican.com/article/has-chaos-theory-found-an/28/07/2016 #31 Anonymous"The phrase 'chaos theory' was invented, as far as I can tell, by the science press around the time of the publication of James Gleick's book Chaos. The proper descriptor, for better or for worse, is 'dynamical systems theory.' I hope I can disabuse people of using the popularized term, which I and many of my colleagues consider inappropriate". - James P. Crutchfield, research professor at the Sante Fe Institute and a research physicist at the University of California at Berkeley28/07/2016 #29 Anonymous"The man is a fractal and fractals are chaos. It is my guiding principle". from "The Secret Human Qualities That Truly Matter", LI long-form post (December, 2014:): https://www.linkedin.com/pulse/20141201193542-248021126-the-secret-human-qualities-that-truly-matter?trk=mp-reader-card
Comments07/07/2016 #16 Teresa GezzeA Will Hunting le da 2: http://i0.kym-cdn.com/photos/images/facebook/000/113/276/206483_1776491504605_1608886476_1688467_6580770_n.jpg07/07/2016 #15 Teresa Gezze#12 Lo pinats demasiado sencillo y la comunidad científica no se pone de acuerdoooo https://math.berkeley.edu/~gbergman/misc/numbers/ord_ops.html07/07/2016 #12 Alberto Anaya ArcasMe temo que @Sergio Martínez está en lo cierto. Son 288. Cuando no hay paréntesis que lo indiquen la división y la multiplicación tienen el mismo orden de precedencia y por tanto se aplica en orden de lectura. Se puede comprobar usando la calculadora del ordenador ;-)06/07/2016 #7 Sergio MartínezSheldon Cooper's friends say we all are right https://www.physicsforums.com/threads/482-9-3-equation.488334/ View moreSheldon Cooper's friends say we all are right https://www.physicsforums.com/threads/482-9-3-equation.488334/ :P Close
- Producer28/05/2016What if?I am sure you probably asked yourself this question at least once in your professional life and perhaps more in your personal one. But have you ever really investigated your “what if”? More than likely, you have not. Often our “what if” would...
Comments28/05/2016 #2 Charles David UpchurchHi, Jeff. This takes me back to my time at MCI/WorldCom (now part of Verizon). When I was a Network Engineer (a remote tester and troubleshooter) at what was called the Global Data Test Center - East, mean time to repair (MTTR) was a primary metric against which we measured ourselves.
- Producer27/05/2016Watch the AnchorGoing back to basic maths at school, you would agree that 8x7x6x5x4 gives the same answer as 4x5x6x7x8. Yet in an experiment where two groups of people were given these two sets separately, those that saw the 8 first in the sequence estimated the...
Comments11/08/2016 #14 CityVP Manjit#13 Dear Henri, yes from a personal practice but also to notice unintended consequence and application of practice we may never have assumed as having a dystopian effect, and this is not a formulation to distrust good intentions but be wise about the way a few scrupulous human beings seek personal advantage, where spiritual practice itself can become more egotistical than non-spiritual practice, in short embrace surprise and delight but not be disillusioned by failing to see the hairy arse side of society. http://www.theatlantic.com/health/archive/2014/01/the-dark-side-of-emotional-intelligence/282720/11/08/2016 #12 CityVP Manjit#11 I do have a purchased copy of Robert Cialdini's book Influence and part way in I could not figure out whether I was transforming into a modern day Machiavelli or Rasputin while reading it. Fortunately I got the gist and I was spared the desire for creating an intervention called the Holy Order of Neurolinguistic Programming or delve into the launching of the Master Apprentice of Mindfulness Coaching, both highly motivating ideas that sum up the saying "a little knowledge is a dangerous thing". Yes anchoring is real but just like gaming emotional intelligence tricks I don't know at what point one has acquired enough emotional trickery to register as a professional magician or when to just accept that my self-awareness might just have been anchored as I continue to discover my anchors. Of course we are the good guys so we use our newly acquired powers for doing good and thus observe the "Law of Spiderman" https://www.youtube.com/watch?v=IKmQW7JTb6s10/08/2016 #11 Henri GalvãoThank you for this text, Gert. Not only because it was very informative, but also your suggestion on thinking of a range - instead of a specific number - is something I'll try to remember more often.
By the way, I guess another way to describe this would be to say that it's the principle of contrasting in action, as Robert Cialdini puts in his classic book Influence.25/07/2016 #10 Gerald Hecht#9 @Ken Boddie Google is ultimately run by humans. Humans, by definition are always "being" in a state of all kinds of anchoring effects with regard to just about every aspect of their lives...@Gert Scholtz examples are just that...little surface scratching glimpses into how biased we are always...it is actually much worse in folks who practice "mindfulness" and other such crap...it's neither good nor bad...it's who we are; balls to bone...it's an interesting aspect of perception. https://katesharpernews.wordpress.com/2016/03/20/book-of-the-week-capture-david-a-kessler-m-d/24/07/2016 #7 Gerald Hecht@Gert Scholtz now I'm gonna be biting my nails for a couple of weeks as I've just prepared lectures and accompanying psychometric/psychophysics demos on this (which I thought were very clever for 18yr olds entering the strange world known as "Introduction to Psychophysics and it's Concomitant Neurophysiological Foundations"...at least you didn't go into the Neurophysiology --uh oh...I prolly shouldn't have mentioned that, another lol!27/05/2016 #5 John WilliamsA way to avoid the anchoring effect? Well, maybe in the example of the car to look for a way of comparing it with the four cars at the same time, although I don't know if there would still be 2 anchors now instead of one. I don't know, this article is making me think about how to take advantage of the anchor effect in sales but at the same time being a better buyer. Great one there @Gert Scholtz27/05/2016 #3 Gert Scholtz#1 @Dean Owen. I guest-lecture on negotiation and persuasion at business schools with a focus on how the mind works. Most of what I teach is based on the relatively new fields of neuroscience and behavioral economics, which I find fascinating. Thank you for reading and commenting!
- 25/03/2016These are the 23 best university courses if you want to study mathematicswww.businessinsider.com Mathematics is hugely important subject and the world's best universities compete fiercely to be the best at it. Find out who wins in our...
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