Cacti spines, snake fangs, snail love darts – oh my! How function drives the evolution of nature’s puncture tools

The act of puncture – stabbing something with a sharp tool – is incredibly widespread in the natural world. Examples of ...

Bioinspired strategy creates complex 3D curved structures via programmed shrinkage

The shape of biological structures, ranging from flower petals to the limbs or organs of animals, is often naturally best ...
Investopedia

Understanding Pattern Day Trader (PDT) Rules and Margin Requirements

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...
techtimes

GPT-5.6 Release Nears: Ultra Mode Spawns Subagents, Terra Cuts Cost, METR Flags Risk

This photograph taken in Mulhouse, eastern France on October 19, 2023, shows figurines next to the ChatGPT logo. SEBASTIEN BOZON/Getty Images OpenAI's GPT-5.6 family — Sol, Terra, and Luna — has been ...
BBC

Key points about transformations of functions

A function, 𝑓(𝑥) relates an input and an output. The equation 𝑦 = 𝑥² can be written as the function 𝑓(𝑥) = 𝑥². The notation for a function is 𝑓(𝑥) or 𝑔(𝑥) or ℎ(𝑥) and so on. Sometimes ...