Golden ellipse
A golden ellipse is an ellipse whose axes are in golden proportion. That is, the ratio of the major axis length to the minor axis length is the golden ratio φ = (1 + √5)/2. Draw a golden ellipse and its inscribed and circumscribed circles. In other words draw the
Read moreAreal coordinates and ellipse area
Barycentric coordinates are sometimes called area coordinates or areal coordinates in the context of triangle geometry. This is because the barycentric coordinates of a point P inside a triangle ABC correspond to areas of the three triangles PBC, PCA and PAB. (This assumes ABC has unit area. Otherwise divide the
Read moreAverage number of divisors
Let d(n) be the number of divisors of an integer n. For example, d(12) = 6 because 12 is divisible by 1, 2, 3, 4, 6, and 12. The function d varies erratically as the following plot shows. But if you take the running average of d f(n) = (d(1)
Read more8 AI Tips for Web Developers (and Their Careers)
Read 8 AI Tips for Web Developers (and Their Careers) and learn AI with SitePoint. Our web development and design tutorials, courses, and books will teach you HTML, CSS, JavaScript, PHP, Python, and more. Continue reading 8 AI Tips for Web Developers (and Their Careers) on SitePoint.
Read moreLucas numbers
Lucas numbers [1] are sometimes called the companions to the Fibonacci numbers. This sequence of numbers satisfies the same recurrence relation as the Fibonacci numbers, Ln+2 = Ln + Ln+1 but with different initial conditions: L0 = 2 and L1 = 1. Lucas numbers are analogous to Fibonacci numbers in
Read moreThink you don’t need observability? Think again
Ben and Ryan chat with Daniela Miao, cofounder and CTO of Momento, a real-time data platform. They discuss the advantages of real-time observability, the challenges of multi-tenancy in databases and caching, the use of WebAssembly in UI development, and the benefits of Rust. Daniela also shares her experiences working at
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