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Graduate Student Solves Decades-Old Conway Knot Problem. YouTuber Breaks Down The Solution To A Tricky Amazon And Google Interview Question About Triangles. The Fibonacci Sequence Affects the Stock Market. On Friday, as the U.S. stock market closed out its worst week since 2008 amid coronavirus-related turmoil (before recovering somewhat early this week), investors were left with a glaring question: Is it all downhill from here?

The Fibonacci Sequence Affects the Stock Market

Amid such economic turbulence, some market researchers look to a familiar, powerful set of numbers to predict the future. “Fibonacci retracement” is a tool that technical analysts use to guide their outlook about buying and selling behavior in markets. This technique is named after and derived from the famous Fibonacci sequence, a set of numbers with properties related to many natural phenomena. FlowingData. Thanks To A Mathematical Trick, You Can Always 'Guess' What Random Number A Person Has Picked. Tribbles - Tribbles from Star Trek - Tribbles Math Problem. The Map of Mathematics. Quadratic Equations - Quadratic Equations How to Solve.

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations.The mathematician hopes this method will help students avoid memorizing obtuse formulas.His secret is in generalizing two roots together instead of keeping them as separate values.

Quadratic Equations - Quadratic Equations How to Solve

A mathematician has derived an easier way to solve quadratic equation problems, according to MIT's Technology Review. Quadratic equations are polynomials that include an x², and teachers use them to teach students to find two solutions at once. The new process, developed by Dr. Po-Shen Loh at Carnegie Mellon University, goes around traditional methods like completing the square and turns finding roots into a simpler thing involving fewer steps that are also more intuitive. Quadratic equations fall into an interesting donut hole in education. Quadratic equations are polynomials, meaning strings of math terms. Can You Solve the Poisoned Wine Brain Teaser? Number each bottle 1-1,000.

Can You Solve the Poisoned Wine Brain Teaser?

Under each base 10 number (that's just regular counting!) , also write the number in binary (base 2). Line up your rats and allow them each to represent the digit of a binary number. Take each bottle of wine and feed it to those rats which represent a 1 in the binary representation of the bottle's label. For example, bottle four is 100 in binary, so the third rat will be feed the wine from that bottle. New Research Might Locate Flight MH370—And Solve One of the Greatest Aviation Mysteries of All Time. Why is pi here? And why is it squared? A most beautiful solution to the Basel problem, using light.

A Mathematician Who Decodes the Patterns Stamped Out by Life. With Pringle in Science in 2015, and again with him in the Annual Review of Entomology this year, you argue that it’s crucial to separate this kind of pattern of green islands caused by termite mounds — which signify a healthy ecosystem — from similar-looking patterns that would mean an ecosystem is failing.

A Mathematician Who Decodes the Patterns Stamped Out by Life

Can you walk me through this second kind of pattern? A Simple Visual Proof of a Powerful Idea in Graph Theory. Reprinted with permission from Quanta Abstractions A recent advance in geometry makes heavy use of Ramsey’s theorem, an important idea in another field—graph theory.

A Simple Visual Proof of a Powerful Idea in Graph Theory

Ramsey’s theorem states that in any graph where all points are connected by either red lines or blue lines, you’re guaranteed to have a large subset of the graph that is completely uniform—that is, either all red or all blue. Here's a Cool Way to Visualize Higher Dimensions. Video about Gödel's Incompleteness Theorem. Please Subscribe to 3QD If you would like to make a one time donation in any amount, please do so by clicking the "Pay Now" button below.

Video about Gödel's Incompleteness Theorem

You may use any credit or debit card and do NOT need to join Paypal. The editors of 3QD put in hundreds of hours of effort each month into finding the daily links and poem as well as putting out the Monday Magazine and doing all the behind-the-scenes work which goes into running the site. Fractals Explain Imagery Seen in Rorschach Ink Blots. 0 Shares It's easy to see familiar shapes in seemingly random patterns.

Fractals Explain Imagery Seen in Rorschach Ink Blots

Relatively Interesting The Map of Mathematics - Relatively Interesting. Order of operations. For example, in mathematics and most computer languages multiplication is done before addition; in the expression 2 + 3 × 4, the answer is 14.

Order of operations

Brackets, "( and ), { and }, or [ and ]", which have their own rules, may be used to avoid confusion, thus the preceding expression may also be rendered 2 + (3 × 4), but the brackets are unnecessary as multiplication still has precedence without them. The standard order of operations[edit] The order of operations used throughout mathematics, science, technology and many computer programming languages is expressed here:[2] exponents and roots addition and subtraction. Order of Operations - BODMAS. Operations.

Order of Operations - BODMAS

Triangle of Power. Earth - You decide: What is the most beautiful equation? There is a lot of beauty in mathematical equations.

Earth - You decide: What is the most beautiful equation?

They represent some of the most profound rules that govern the Universe and everything in it. Understanding the most profound equations takes years of training, and many of them are so complex that they are hard to convey in normal language. Paradox at the heart of mathematics makes physics problem unanswerable. L: Pictorial Press Ltd/Alamy, R: Photoshot Kurt Gödel (left) demonstrated that some mathematical statements are undecidable; Alan Turing (right) connected that proof to unresolvable algorithms in computer science.

A logical paradox at the heart of mathematics and computer science turns out to have implications for the real world, making a basic question about matter fundamentally unanswerable. Funky Chicken Walk Can Indicate a Sick Bird. Why did the chicken cross the pen? No, seriously. That’s a legitimate scientific question. The way chickens move through a pen may tell us a lot about whether or not they’re feeling well and how many opportunities they have to spread illnesses. Now scientists are studying how chicken locomotion can reveal disease—knowledge that could help farmers do a better job of heading off certain kinds of outbreaks.

As he and his colleagues recently recounted in the journal Mathematical Methods in the Applied Sciences, Arni S.R. Chaos Theory in Ecology Predicts Future Populations. Sometimes ecological data just don’t make sense. The sockeye salmon that spawn in British Columbia’s Fraser River offer a prime example. Scientists have tracked the fishery there since 1948, through numerous upswings and downswings. At first, population numbers seemed inversely correlated with ocean temperatures: The northern Pacific Ocean surface warms and then cools again every few decades, and in the early years of tracking, fish numbers seemed to rise when sea surface temperature fell. Edit Distance Reveals Hard Computational Problems. Math describes sheep herd fluctuations. View the video. Scatter plot. New tessellating pentagonal shape discovered — Hopes&Fears — flow "Design" How Complex Networks Explode with Growth.

Last week, United Airlines grounded nearly 5,000 flights when its computer system crashed. The culprit: a faulty network router. Later on the same morning, another computer glitch halted trading on the New York Stock Exchange for over three hours. Infinities in literature and mathematics. Bayes' Theorem.

Unhappy Truckers and Other Algorithmic Problems - Issue 3: In Transit. Inconsistent Mathematics, Reutersvärd, and Buddhism: An Interview with Chris Mortensen. Marty and Michael in Math Magic Land. Is there an Occulted Numeric Language Embedded Within Our Culture? After 400 years, mathematicians find a new class of solid shapes. 10 Paradoxes that Will Totally Surprise You. 8 math talks to blow your mind. Touch Mathematics. One of the most abstract fields in math finds application in the 'real' world. The Philosophy of Punk Rock Mathematics – Technoccult interviews Tom Henderson. Scientists Use Math To Analyse The ‘Om’ Chant. U.S.C. Exhibit Shows Fractals Built From Paper. Tap code. Statistics Win in U.S. Election.

Mathematicians at Play: 3-D Printing Enters the 4th Dimension. Fairly Simple Math Could Bridge Quantum Mechanics and General Relativity. Roll Over, Pythagoras: the "Holy Grail" of Math May Have Been Found.