To create for the ages, let’s combine art and engineering

To create for the ages, let’s combine art and engineering

When Bran Ferren was just 9, his parents took him to see the Pantheon in Rome — and it changed everything. In that moment, he began to understand how the tools of science and engineering become more powerful when combined with art, with design and beauty. Ever since, he’s been searching for a convincing modern-day equivalent to Rome’s masterpiece. Stay tuned to the end of the talk for his unexpected suggestion. Watch...
Prime Numbers – Visual Patterns ?

Prime Numbers – Visual Patterns ?

Will these pictures give you some idea of what their secret is ? Maybe there is no secret ! The Ulam spiral is a way of visualizing the distribution of prime numbers (black dots in the image and blue in the movie below). This pattern is one the great unsolved mysteries in mathematics and has important consequences in Cryptography. You create the pattern on an “infinite” grid of squares where you start somewhere and label the square with 1 then move one to the right and label the square 2 then move one up and label it 3 and keep going in a spiral fashion. This is your base grid. Now color or highlight the prime numbers in that grid plane and you get the picture if you use black … Most interesting is the appearance of diagonal straights and other patterns in this … Watch...

Trees and Other Hierarchies in MySQL

Great chapter from the unmissable book by Peter Brawley and Arthur Fuller … http://www.artfulsoftware.com/ … Thank you boys! Most non-trivial data is hierarchical. Customers have orders, which have line items, which refer to products, which have prices. Population samples have subjects, who take tests, which give results, which have sub-results and norms. Web sites have pages, which have links, which collect hits, which distribute across dates and times. With such data, we know the depth of the hierarchy before we sit down to write a query. The depth of the hierarchy of tables fixes the number of JOINs we need to write. But if our data describes a family tree, or a browsing history, or a bill of materials, hierarchical depth depends on the data. We no longer know how many JOINs it will take to walk the tree. We need a different data model. That model is the graph (Fig 1), which is a set of nodes (vertices) and the edges (lines or arcs) that connect them. This chapter is about how to model and query graphs in a MySQL database. Graph theory is a branch of topology. It is the study of geometric relations which aren’t changed by stretching and compression—rubber sheet geometry, some call it. Graph theory is ideal for modelling hierarchies—like family trees, browsing histories, search trees and bills of materials—whose shape and size we can’t know in advance. >> Go to Source...
Data Transformation and Linear Algebra

Data Transformation and Linear Algebra

The problem of data transformation is solved in numerous ways with different levels of smartness and in different flavors. ETL (extract – transform – load) processes is a buzz word strongly related to this topic. Basically the requirement is to get a defined set of data entities, that would be data structures like records from tables in schemas from one presentation into another. That can be just a space time transformation (trivial as it maintains the structure – shape) or structural transformation which is shape changing. Based on some concepts of linear algebra where a fully understood algorithm has been defined over the last centuries, mostly the actual work done on different presentations of so called vectors ( which are well defined sets of data within a presentation (multi dimensional space) ). So something like the image above. Now, the idea is to try presenting a data structure in a space or what is equivalent provide a bi-directional transformation (mapping) onto that space. Impossible? I don’t think so. Conclusion, do it then! Ok, watch this blog and your curiosity will be satisfied...
Why curiosity is the key to science and medicine

Why curiosity is the key to science and medicine

Kevin B. Jones Science is a learning process that involves experimentation, failure and revision — and the science of medicine is no exception. Cancer researcher Kevin B. Jones faces the deep unknowns about surgery and medical care with a simple answer: honesty. In a thoughtful talk about the nature of knowledge, Jones shows how science is at its best when scientists humbly admit what they do not yet understand. Watch it...

The Munchausen Number

Their specific property is that the sum of their digits raised to themselves is the original number. With the number one, it works spectacularly and easily well. After that, you’re in trouble. It isn’t until you get to 3435 that things put themselves right (try it for yourself if you don’t believe us!). Here’s the proof – try it with any other number of which you care to think and it will simply not work. Now to proof that isn’t that straight forward … As usual programmers showed their brut force mentality and just tried them all … all? >> Go to Source...