Tag: mathematics
Magnetic Resonance Imaging (MRI)
Magnetic resonance imaging or MRI for short can be modeled in the following way let’s first consider this conducting loop of wire The Magnetic Dipole moment is defined as the current going through the wire times the cross-sectional area that [that] wire Encloses times a unit vector that is perpendicular to the surface area so…
I Will Read Your Mind – Math Magic Trick
Hey this is Presh Talwalkar Think of a two digit number Add up the digits of the number together Subtract your result from your original number I want you to focus on this number I’ll call this your magic number In the following table locate your magic number and concentrate on the symbol next to…
“Millikan’s Oil Drop Experiment” Simulation
Measuring the speed of an oil drop at zero plate voltage Starting the stop clock Each graticule square=1cms x 1cms Reducing plate voltage to allow oil drops to fall Suspending oil drop by increasing plate voltage The voltage needed to suspend the oil drop is read from the potentiometer scale
Alan Turing: Great Minds
There’s a man that we have to thank for things like a world free of Nazis and full of computers and we did not treat him particularly well as a society. Yes, I’m talking about Alan Turing. Turing was born in England in 1912 and as he made his way through school his teachers realized…
Richard Feynman, The Great Explainer: Great Minds
We’ve talked a lot about great scientists on this show: people who solved mysteries that have been stumping lesser smarty-pants for centuries. Some of them even answered questions nobody had ever thought to ask before. But a lot of great minds have not been great explainers. Richard Feynman, the American physicist, most famous for pioneering…
All possible pythagorean triples, visualized
[Intro Music] When you first learned about the pythagorean theorem that the sum of the squares of the two shorter sides on a right triangle always equals the square of its hypotenuse I’m guessing that you came to be pretty familiar with a few examples like the 3-4-5 triangle Or the 5-12-13 triangle, and I…
Cross products in the light of linear transformations | Essence of linear algebra chapter 11
Hey folks! Where we left off, I was talking about how to compute a three-dimensional cross product between two vectors, v x w. It’s this funny thing where you write a matrix, whose second column has the coordinates of v, whose third column has the coordinates of w, but the entries of that first column,…