Mathematics
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Why Aren't Computer Programming Languages Designed Better? | Co.Design
For many digital products, poor user interface design and UX can sink an app’s fortunes even if the underlying engineering is powerful and innovative.Donald Knuth: Calculus via O notation « Mathematics under the Microscope
Continuing the theme of alternative approaches to teaching calculus, I take the liberty of posting a letter sent by Donald Knuth to to the Notices of the American Mathematical Society in March, 1998 ( TeX file ). I am pleased to see so much serious attention being given to improvements in the way calculus has traditionally been taught, but I’m surprised that nobody has been discussing the kinds of changes that I personally believe would be most valuable. If I were responsible for teaching calculus to college undergraduates and advanced high school students today, and if I had the opportunity to deviate from the existing textbooks, I would certainly make major changes by emphasizing several notational improvements that advanced mathematicians have been using for more than a hundred years. The most important of these changes would be to introduce the notation and related ideas at an early stage.
Eigenvalues and Eigenvectors
Have you ever heard the words eigenvalue and eigenvector? They are derived from the German word "eigen" which means "proper" or "characteristic." An eigenvalue of a square matrix is a scalar that is usually represented by the Greek letter (pronounced lambda).
Rosen
The vertex stars of shellable polytopal complexes are shown to be shellable. The link of a vertex v of a shellable polytopal complex is also shown to be shellable, provided that all facets of the star of v are simple polytopes, or (more generally) if there exists a shelling F 1 ,…, F n of the star of v such that, for every 1
On stars and links of shellable polytopal complexes
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