How do we know....(these random things) - Earth & Space Edition

The guy who invented mathematical logic

The guy who invented quantum physics

How do we know...(these random things)?

What is cosine similarity (and its applications)?

Responding to comments on my flat earth video

When you ask the internet any math question

How to compress an image with (basic) linear algebra

The first engineer (well, not really)

The math that proves the Earth isn't flat

How big is 1 billion?

When your friend asks you to engineer the Matrix

Probability is just...really weird

Just 3 questions/puzzles that seem obvious but aren't

The History of Engineering (in exactly 20 minutes)

When Isaac Newton discovers gravity (and everything else)

Probably the weirdest function I encountered as an engineering student

How I wish logistic growth was taught to me in Calc 2

The intuition behind the Nyquist-Shannon Sampling Theorem

Why following your compass will (almost) always lead you to the North or South Pole | Math of Maps

When you're an engineer in the Star Wars Universe

Why do Electrical Engineers use imaginary numbers in circuit analysis?

The scariest thing you learn in Electrical Engineering | The Smith Chart

When you're an engineer for the Titan submersible

Ranking all 22 engineering classes I took in college

Each point is connected to its closest neighbor, how many connections can a single point have (max)?

Why shadows (almost) always trace out hyperbolas (but it depends on where you live).

What are the odds that 3 'random' points on a sphere will form an acute triangle?

Engineering jobs in the future (probably) be like...

How should you arrange 7 water fountains in a mall to minimize the longest possible walk?

You can always win this game if you go second | An SOS (math olympiad) puzzle

The Poker Paradox

The Sierpinski-Mazurkiewicz Paradox (is really weird)

Watching a movie (or TV show) with a STEM major be like

A 1957 Putnam exam problem

Can you always pair an equal number of red and blue points with no intersection?

The Mathematics of the Casino | What people get wrong about gambling

Engineering in movies be like

If Saw was a typical engineering student

Can you always cover 10 points with 10 equally sized (non-overlapping) coins?

The applications of hyperbolic trig | Why do we even care about these things?

How you can solve dice puzzles with polynomials

No you guys, most shapes do not have a center of mass with this property (but some do)

A surprising topological proof - Why you can always cut three objects in half with a single plane

Teaching myself abstract algebra

Approximations. The engineering way.

What changes? | A lesson in statistics, incentives, and internet stupidity

Is there (always) a line that passes through exactly 2 points?

What I've been reading | STEM book recommendations

STEM students in non STEM classes be like...

Random things

An inverted pendulum puzzle

The Bolzano–Weierstrass theorem, a proof from real analysis

Teaching myself an upper level pure math course (we almost died)

The intuition and implications of the complex derivative

Could you avoid being hit by a laser if you were in a room of mirrors?

A donut is not a sphere | Things you can do on one surface but not the other

Why imaginary numbers are needed to understand the radius of convergence

Engineering students be like...(Part 2)

The applications of non-euclidean distance | Metric Spaces