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Q.E.D. CodeExploring the intersection between software and mathematics Author: Michael L Perry
Explore the intersection between software and mathematics. Michael L Perry takes you on a journey through the history of computing, information theory, cryptography, distributed systems, and everywhere else that math has influenced technology. Not only will you dive into math papers, but you'll also learn valuable programming techniques that you can apply in any language. Code Erat Demonstrandum Language: en Genres: Education, How To, Technology Contact email: Get it Feed URL: Get it iTunes ID: Get it |
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QED 19: Dependency Tracking
Sunday, 23 October, 2016
The number of degrees of freedom in a system is equal to its number of unknowns minus its number of equations. That is also equal to the number of independent variables in the system. Dependent variables do not contribute degrees of freedom. However, by taking advantage of determinism, we can compute at run time the set of independent variables upon which a dependent variable depends. This gives libraries like Update Controls, Assisticant, and Knockout the ability to figure out when to update the view with extreme efficiency. Both C# and Java have enumerables. These are interfaces understood by the looping constructs of the language itself. Unfortunately, it is unsafe to modify a collection while using an iterator. But immutable data types hold the key, and should be the preferred way of managing collections. Prime numbers are the building blocks of all natural numbers. Godel used them to prove his Incompleteness Theorem. There are many mind-blowing facts that we know about prime numbers, such as the general distribution of them as we continue counting. However, there are equally mind-blowing things that we don't know, such as how clumped together they are far out along the number line.
