When doing a convolution of two curves in time, you flip one of them backwards.
Our shit statistics teacher made it so complicated.
And then one day, next semester, in a lab for signals class, the TA casually said “flip one, so they both start at zero seconds” and half the class started convulsing as an entire semester worth of misunderstood math magically snapped into place.
Lots of engineering teachers, have no business being teachers.
They did this last year or the year before with the Colorado Symphony at Red Rocks.
The show is on YouTube… It was aiight.
Lil’ “bone apple tea” comin’ atcha!
The utility of Laplace transforms in regards to differential systems.
In engineering school you learn to analyze passive DC circuits early on using not much more than ohms law and Thevenin’s Theoram. This shit can be taught to elementary schoolers.
Then a little while later, you learn how to do non-finear differential equations to help work complex systems, whether it’s electrical, mechanical, thermal, hydrolic, etc. This shit is no walk in the park.
Then Laplace transforms/identities come along and let you turn non-linear problems in time-based space, into much simpler problems in frequency-based space. Shit blows your mind.
THEN a mafacka comes along and teaches you that these tools can be used to turn complex differential system problems (electrical, mechanical, thermal, hydrolic, etc) into simple DC circuits you can analyze/solve in frequency-based space, then convert back into time-based space for the answers.
I know this is super applied calculus shit, but I always love that sweet spot where all the high-concept math finally hits the pavement.
I am an engineer that does power design for commercial spaces. These “wellness” rooms show up a lot. They are there simply so your corporate overlords can tick a little box under “workplace atmosphere” and add it to the list of bullshit features on their website no employee ever actually uses. It’s very similar to “mother’s rooms”, only those can be considered code compliant based on your location. Sometimes they are also called “phone rooms.”
I think architects upsell them into designs to boost their self esteem.
It’s a lot like when old apartment buildings gut a storage room, put a few pieces of shitty gym equipment in it, and then add “on site fitness center” to the website, and also tack a small monthly fee on your rent.
If I had a dollar for every existing office space I’ve surveyed that ended up just piling office supplies in them, or found them covered in 3 inches of dust… I’d probably have like $100. Not a ton, but enough to definitely make them seem ridiculous.