In my last post Curvature, I showed how the curvature, along a path is equal to: . I then asked a “challenge” question about how one could compute the curvature without referencing a velocity or acceleration vector. I have slightly rephrased the question below: Is…
There is a natural way to compute the curvature for a curve whose position is given as a function of time, . The following is the vector proof which shows how the velocity and acceleration vectors can be used to compute the curvature at any time. Is there…
Your SAS Multivariable Calculus Class presents… The Second Annual Christmas Tree Competition! Vote for your favorite here!
Check out the prezi for a summary of our 2 week experiment You’ll find out what our students thought of the experiment. I hope you enjoyed it as much as we did and find their reflections helpful!
In part 1, I argued that many of the most compelling processes that we observe in the world around us work according to a basic principle associated with aggregation. I will expand on this by writing a few lines that…
This is the information age, and sitting at the heart of the information expansion that has defined this age is a simple idea: aggregation. Swimming in all this information, will humans ever be able to reliably predict the future? And…
I was recently listening to archived Radiolab episodes, and came across this story about Eureqa, a computer algorithm that looks for patterns in data sets. The amazing thing about this story is that the algorithm finds correlations and relationships between…
Tagged with: Algorithm
, Artificial intelligence
, Data set
, Machine learning
, Newton's laws of motion
Posted in Advanced Chemistry
, Multivariable Calculus
, Steven Strogatz