Alright, future engineers!
**Truncation Error** occurs when an exact mathematical procedure is replaced by an approximation, often by cutting off an infinite series.
Ex: Using only the first few terms of a Taylor series for `e^x`.
Pro-Tip: This error is *predictable* and *controllable* by refining your approximation!
#NumericalMethods #ErrorAnalysis #STEM #StudyNotes

Alright, future engineers!
**Relative Error:** Quantifies how much an approximation deviates, *relative to the true value*. Ex: `RE = |(Approx - True) / True|`. Pro-Tip: Essential for evaluating precision and setting engineering tolerances!
#NumericalMethods #ErrorAnalysis #STEM #StudyNotes

**Truncation Error** is the error from approximating an infinite mathematical process with a finite one. Ex: Using a finite Taylor series sum. Pro-Tip: It typically decreases with smaller step sizes (h) or more terms (N)!
#NumericalMethods #ErrorAnalysis #STEM #StudyNotes

Condition Number measures how sensitive a problem's output is to tiny input changes. Large condition number = huge output errors! Pro-Tip: It's key for understanding solution reliability; high values mean your problem is ill-conditioned and results are unreliable!
#NumericalMethods #ErrorAnalysis #STEM #StudyNotes

🌐✨ Wow, riveting tech journalism here! Dive deep into... error messages? 🛑🕵️‍♂️ Apparently, Qualcomm's cutting-edge #GPU requires cutting-edge #patience and JavaScript! 😂🔧
https://chipsandcheese.com/p/diving-into-qualcomms-upcoming-adreno #techjournalism #erroranalysis #Qualcomm #JavaScript #HackerNews #ngated

Aquí hay otro video de análisis de errores, en mi canal. A ver qué les pareceee https://youtu.be/dZVTogPyWkE?si=SL80wI5fbL6HwInr #physics #erroranalysis #uncertainties

Video nuevo en mi canal de cosas de física. Es para un curso de análisis de errores. ¡Aparece Lucha, la novia de Cuco! https://youtu.be/CZm0akFRlbs #physics #erroranalysis #uncertainties #mechanics