Darth Calculus 🏳️‍🌈

@darthcalculus.bsky.social

192 Followers 444 Following

Nerdy musician! Musical nerd! He/him #EduSky https://youtube.com/@darthcalculusmusic https://youtube.com/@darthcalculusmathandscience https://patreon.com/DarthCalculus

A blueberry cobbler, just put in the oven
A graph showing the sensitivity of human hearing to different frequencies. It shows we are less sensitive to frequencies at the extremes of our ranges (below 100 Hz and above 10 kHz) and most sensitive to around 4 kHz
A YouTube learning poll that asks "in music, what characteristics of sound waves determine the perceived highness or lowness of a sound?" The choices are wavelength or frequency
A 4x3 score card showing 392 points
A google slide titled "The exponential function - quintessential growth modeling" with an embedded animation. The text reads: As we have discussed, a mathematical model doesn’t just show a phenomenon’s progress (n), it also shows how that phenomenon can progress (v). The exponential function f(x) = ex is the perfect coincidence where a model’s rate equals its state. This makes it an ideal basis for other kinds of growth models. We will see a few today.
A Desmos animation that matches the exponential function's tangent line to its y-value, demonstrating that it equals its own derivative
YouTube watch history featuring a recent video by Gutsick Gibbon called "Darwiniana" and a compilation by The Exploring Series called "There is no antimemetics division"
A time lapse video (overhead view) of a vertical meter stick's shadow moving across the ground, matched by a superimposed graph animation
Tasha Yar, a character from Star Trek, with a skin lesion on her face
The premiere screen for The Amazing Digital Circus last episode on YouTube
A close-up of a guitar playing a solo
A short video clip of the air compressor so you can hear it
A spectrogram showing a peak at 527 hz
Yuengling amber lager from Pennsylvania
A math teacher aggressively points to a geometry diagram. This is a frame from my music video for the song "Labyrinth"
Two nerds dressed as Kinger and Gangle
A clenched fist. The nail of the middle finger is painted in a rainbow
A light bulb filament under a microscope. It is a coil of extremely thin wire superimposed on a microscope slide showing fractions of a millimeter.
A screenshot of the Desmos resource that shows vertical sliders and the expression folders that generated them
A screenshot of the Desmos notebook showing an expression with a slider in the left column, with the corresponding graph in the right column
An image showing a Desmos graph with a slider built out of functions and expressions in-graph
A fake episode screen for Star Trek: Deep Space 9 that reads "In the Shadow of Z'Ha'Dum," a reference to Babylon 5.
A FFT-style trace of the path of a compound pendulum in Desmos. The image resembles a dragonfly
An animation of a FFT-inspired Desmos graph as it traces the path of a complex pendulum. It resembles an arrowhead.
A Desmos image showing a trace of a compound pendulum. The image resembles a winged insect or flower.
Two pieces of paper which read "give this to the teacher who is the most patient" and "give this to the teacher who makes you laugh the hardest"
The player's height and angle can be changed with the adjustable point at the "head." They can only lean into the 1st quadrant. The height of their shoulders and center of gravity (CoG) can also be adjusted along the player's inclined body. The mass (m) and gravity (g) can both be adjusted. The vectors have been normalized so that the weight vector (W) has a length of 1. The normal force (N) is equal and opposite to the weight. The friction (F) is proportional to the normal force and a coefficient of friction (f). The tension in the rope (T) and the friction are the only horizontal forces, so the net horizontal force is shown. Friction is a reactive force, so if it exceeds the tension, the net horizontal force is zero. If the tension exceeds the friction, then the player's feet would slip. The tension can be adjusted by dragging the point at the end of the orange vector. Torque vectors are shown in purple, both CW and CCW. The net torque is shown on the left side.
Log Boy, a character from Tom Bate's animated series "Nigel and Marmalade"
A woman sits up in a bathtub. She is distressed
A boy in swimming goggles sits up in a bathtub
A Desmos animation of the electric field for four charges particles
A Desmos animation of the electric field for a dipole
A selfie with (presumably) the Orion spacecraft (extreme background)
A screenshot of the Darth Calculus artist page on Spotify
An animation of the power series approximation for the exponential function.
An animation of the power series approximation for the exponential function.
An animation of the power series for the exponential function
A video of a Desmos animation showing the power series for the sine function, one term at a time.
Schlieren video of heat waves coming from a candle
The thumbnail for the Amazing Digital Circus premiere
A map of the world, with dots in the northeast USA, eastern Canada, and Germany
Spock from Star Trek TOS holds an "alien" which is just a dog in a suit
The "invincible" meme asks "how do I graph imaginary X-intercepts?" The response is "That's the neat part, you don't!" To the side, the graph of a parabola without real x intercepts is shown, along with a worked out solution of the quadratic formula showing complex answers.
A multimeter shows 304 kilo-ohms of resistance across a centimeter of heavy pencil doodling on a math test
A screenshot showing the 1999 film "The iron Giant" is currently free with ads on YouTube
With reference to an outmoded mnemonic, the trig ratios for sine, cosine, and tangent are remembered as nearly making the name of the Star Wars character ahsoka tano.
A chart that shows viewership for the late show with Stephen Colbert is up 7%. The chart has no vertical axis and the apparent difference is disproportionately large
A trail of raised footprints are visible in the snow.
A screenshot of a Desmos graph that shows how a ray of light refracts and reflects within a water droplet to produce a rainbow
A sign commemorating Frederick Douglass
The album cover for Muse - Black Holes and Revelations (2006)
Screenshot of single-ray refraction simulator in desmos. It shows incident and refracted angles for both internal and external rays through an equilateral triangular prism.
An unsuccessful attempt to prove that L is closed under multiplication
The same graph as in previous posts, but on logarithmic coordinates
A graph showing multiple forms of the same expression to avoid the domain restriction. The expression is that the sum of the square roots of x and y is equal to 5.
A screenshot of a graph in desmos showing the intersection of two curves at (4,9). The curves describe the conditions of a word problem: the square roots of two numbers add to five, and the difference between those two numbers is also five.