Long before robots could run or cars could drive themselves, mathematicians contemplated a simple mathematical question. They figured it out, then laid it to rest—with no way of knowing that the object of their mathematical curiosity would feature in machines of the far-off future. Quanta Magazine About Original story reprinted with permission from Quanta Magazine, an editorially independent publication of the Simons Foundation whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences. The future is now here. As a result of new work by Amir Ali Ahmadi and Anirudha Majumdar of Princeton University, a classical problem from pure mathematics is poised to provide iron-clad proof that drone aircraft and autonomous cars won’t crash into trees or veer into oncoming traffic. “You get a complete 100-percent-provable guarantee that your system” will be collision-avoidant, … [Read more...] about A Classical Math Problem Gets Pulled Into Self-Driving Cars

# Solving math problems

## An Anti-Aging Pundit Solves a Decades-Old Math Problem

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph—a collection of points connected by lines. Ensure that all of the lines are exactly the same length, and that everything lies on the plane. Now color all the points, ensuring that no two connected points have the same color. Nelson asked: What is the smallest number of colors that you’d need to color any such graph, even one formed by linking an infinite number of vertices? Quanta Magazine About Original story reprinted with permission from Quanta Magazine, an editorially independent publication of the Simons Foundation whose mission is to enhance public understanding of science by covering research developments and trends in mathematics and the physical and life sciences. The problem, now known as the Hadwiger-Nelson problem or the problem of finding the chromatic number of the plane, … [Read more...] about An Anti-Aging Pundit Solves a Decades-Old Math Problem

## Asks: What’s the Right Way to Solve a Math Problem?

Everyone knows I like to analyze the trailers of upcoming movies—in particular, movies that I'm excited about. In this case, it's Incredibles 2. I have high hopes for this one since the first Incredibles was really great. In the trailer, we see Mr. Incredible doing his job—helping out with math homework (that's one of the things dads do). Here is how that goes down. Dash: "That's not the way you're supposed to do it, dad. They want us to do it this way." Mr. Incredible: "I don't know that way—why would they change math? Math is math. Math is math!" This is what makes a great movie. There are probably quite a few parents that can relate to this. But who is right? Is math math? Or are you supposed to do it some other way? How about an example? Solve the following: Timmy has 2,314 pieces of candy that he want to share between among his group of 8 friends. How many pieces of candy does each friend get? Yes, I think that's a silly question—but I also think that … [Read more...] about Asks: What’s the Right Way to Solve a Math Problem?

## PhotoMath uses your phone’s camera to solve math problems

Imagine how much easier your High School days would have been with the PhotoMath app. All you do is snap a picture of a difficult math problem using the camera on your phone, and the answer pops up right in front of you. The app supports problems using decimals and fractions, arithmetic expressions, powers and roots and simple linear equations.Versions of the app are now available for free in the Windows Phone Store, and in the Apple App Store. Android users will have to wait until early next year to download PhotoMath. The company behind the app, MicroBlink, had worked on PhotoPay. Take a picture of a bill using the camera on your phone, and the money is zapped out of your bank and is used to pay the bill. The technology was licensed to 14 banks in Europe.While MicroBlink has a number of possible applications for its technology, getting thousands of students to test out their technology for free is a brilliant strategy. We should add that the app works only with printed equations, and … [Read more...] about PhotoMath uses your phone’s camera to solve math problems

## Comments for : PhotoMath uses your phone’s camera to solve math problems

posted on 21 Oct 2014, 16:02 3 1. j3ss323 (Posts: 13; Member since: 11 Aug 2014) As if the education system wasn't bad enough... posted on 21 Oct 2014, 16:43 1 8. oboboy14 (Posts: 51; Member since: 27 Mar 2014) You're lofty ideals are better presented elsewhere. posted on 22 Oct 2014, 01:12 0 14. luis.d (Posts: 354; Member since: 04 Dec 2013) You're making a point :p posted on 21 Oct 2014, 16:16 5 2. Sauce2 (banned) (Posts: 199; Member since: 21 Oct 2014) Where was this app back in my high school days =( posted on 21 Oct 2014, 16:26 1 6. PapaSmurf (Posts: 10457; Member since: 14 May 2012) Sauce2 lol. Clever name. posted on 21 Oct 2014, 16:16 0 3. Micah007 (Posts: 256; Member since: 09 Oct 2014) Awesome, this will make AP Physics so much easier :) posted on 21 Oct 2014, 16:19 2 4. NexusX (Posts: 593; Member since: 16 May 2013) i'm starting to think this is one giant conspiracy by Google and Apple to turn us all into idiots while … [Read more...] about Comments for : PhotoMath uses your phone’s camera to solve math problems