Numberphile takes a look at three interesting infinite series. The first is 1 + 1/2 + 1/4 + 1/8 ... which equals 2. The second is 1 + 1/2 + 1/3 + 1/4 + 1/5 ... which equals infinity. The third is 1 + (1/2)2 + (1/3)2 + (1/4)2... which π2/6
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11:01 am Tue
Apr 2, 2019
Three interesting infinite series
42 was the last remaining number below 100 which could not be expressed as the sum of three cubes - until now
Since 1954, scientists have been using computers to search for three numbers that could be cubed and summed to equal 42. Every other possible number below 100 already had a known solution, but the solution for 42 wasn’t found until recently. Here’s Numberphile on the significance of this discovery. Previously: 42 is the sum of […]
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This trig problem kept me up too late last night
My daughter is taking a precalc summer school course. Last night she was doing her homework, which was about verifying trigonometric identities. Out of the 25 homework problems, there was one that she got stuck on. I decided to give it a try and spent two hours on it without solving it. Here it is. […]
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A mathematician explores the cat-and-mouse problem
A swimming mouse is in a circular pond. A non-swimming cat on the perimeter of the pond can run four times as fast as the mouse can swim and will always run in the most optimal way around the pond to catch the mouse. The mouse can run faster than the cat. The question: can […]
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Pick from over 1,000 new skills with this eLearning pass
Everybody could use a little improvement, especially those of us on the hunt for new careers. Each job requires a different set of skills, and that list can change from year to year or even month to month as new technologies emerge. When you’re in that race and need to learn fast, the old model […]
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Save over 20% on the world's longest-lasting translator device
In recent years, natural language processing technology and language translation technology have advanced greatly. The trouble is, language translation software typically comes in the form of apps. And while your mileage may vary on their usefulness, they share one thing in common: a serious drain on the battery for your smartphone, the very thing you’ll […]
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Get big savings on Noise-Cancelling Headphones, Levitating Speakers, & more
Treat yourself, internet: We’ve rounded up some deals from the past week that were too good not to bring back for an encore. Take your pick from home goods, massagers and other tech, all at serious discounts. TREBLAB Z2 Bluetooth 5.0 Noise-Cancelling Headphones Get in the groove and stay that way with these headphones and […]
