Maclaurin’s inequality
This afternoon I wrote a brief post about Terence Tao’s new paper A Maclaurin type inequality. That paper builds on two classical inequalities: Newton’s inequality and Maclaurin’s inequality. The previous post expanded a bit on Newton’s inequality. This post will do the same for Maclaurin’s inequality. As before, let x
Read moreNewton’s inequality and log concave sequences
The previous post mentioned Newton’s inequality. This post will explore this inequality. Let x be a list of real numbers and define Sn(x) to be the average over all products of n elements from x. Newton’s inequality says that Sn−1 Sn+1 ≤ S²n In more terminology more recent than Newton,
Read moreUnderstanding Digital Identity, Encryption, and OAuth 2.0 vs OIDC
Image by authorIntroductionUnderstanding concepts like digital identity, encryption, and authorization protocols is crucial in today's digital landscape. This article aims to shed light on these topics and provide a comprehensive overview.Digital Identity: Navigating the Digital RealmIn the digital world, a digital identity uniquely represents an entity, be it an individual, organization, or
Read moreWhen CAP Is Not Enough: Understanding PACELC in Distributed Databases
Images by authorIntroductionWhile pondering which database I wanted to use, I had a good conversation with a few friends about designing a chat system. There were various options like MySQL, MongoDB, Postgres, and Cassandra. During the discussion, one thing led to another, and we started discussing the CAP theorem.After the discussion, we
Read moreExploring the biggest recruitment challenges in technical hiring
Who is this guide for It’s a complicated time to be hiring software engineers. Even with today’s uncertain economic climate, companies are recruiting aggressively for specialized and senior-level technical roles. In fact, the Bureau of Labor Statistics expects the number of software engineering jobs to increase by 25% between 2021
Read moreThe Adapter Pattern’s Sneaky Role in My Projects
Image by authorHave you ever found yourself solving a problem in a certain way without realizing there’s a well-established design pattern that perfectly fits the bill? That’s precisely what happened to me. I was knee-deep in my code, trying to communicate my business logic seamlessly with the database and other external
Read moreU statistics and a new paper by Terence Tao
Terence Tao has a new paper out that relates to a couple things I’ve written about recently. Elementary symmetric polynomials came up when developing the general equations for tangent sum and hyperbolic tangent sum. The latter post goes into more detail. Before that, means of symmetric functions, not necessarily elementary polynomials
Read moreDetecting fraud with the GRIM test
The latest episode of Erik Seligman’s podcast is entitled The Grim State of Modern Pizza. Although you might not realize it from the title, the post is about fraud detection. GRIM stands for Granularity-Related Inconsistency of Means. In a nutshell, the test looks for means (averages) that are not possible
Read moreTritone
A few weeks ago I wrote about how the dissonance of a musical interval is related to the complexity of the frequency ratio as a fraction, where complexity is measured by the sum of the numerator and denominator. Consonant intervals have simple frequency ratios and dissonant intervals have complex frequency
Read moreReducing the blast radius of meetings with AI
The home team talks with Matt Martin, cofounder and CEO of Clockwise, which offers AI-powered time management and scheduling tools.
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