Hamming was interested in two problems at once; increasing the distance as much as possible, while at the same time increasing the code rate as much as possible. During the 1940s he developed several encoding schemes that were dramatic improvements on existing codes. The key to all of his sy...
One of the characteristics of successful scientists is having courage. Once you get your courage up and believe that you can do important problems, then you can. If you think you can't, almost surely you are not going to. Courage is one of the things that Shannon had supremely. You have...
In the fall, Dave McCall stopped me in the hall and said, "Hamming, that remark of yours got underneath my skin. I thought about it all summer, i.e. what were the important problems in my field. I haven't changed my research," he says, "but I think it was well worthwhile." And...
\begin{aligned} |G| \le \exp O((\log n)^3). \end{aligned} Together these results solve one of the central problems of 19th century group theory—bounding the order of a primitive permutation group—by purely combinatorial methods. On the other hand, the classification of finite simple gr...
See the Pen javascript-math-exercise-44 by w3resource (@w3resource) on CodePen.For more Practice: Solve these Related Problems:Write a JavaScript function that generates the first 20 Hamming numbers using a heap-based approach. Write a JavaScript function that iteratively computes Hamming numbers ...
The demos in the iOS example app make a great introductory tutorial to PureLayout -- run each demo, review the code used to implement it, then practice by making some changes of your own to the demo code. Each demo in the iOS example app has a Swift and Objective-C version. To ...
See the Pen javascript-basic-exercise-219-1 by w3resource (@w3resource) on CodePen.For more Practice: Solve these Related Problems:Write a JavaScript program that calculates the Hamming distance between two strings of equal length by comparing corresponding characters. Write a JavaScript function ...