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The Laws of Thermodynamics, Entropy, and Gibbs Free Energy
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy

We've all heard of the Laws of Thermodynamics, but what are they really? What the heck is entropy and what does it mean for the fate of the universe?…

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Spontaneous Symmetry Breaking and The Higgs Boson
Spontaneous Symmetry Breaking and The Higgs Boson

We have one boson left to cover, the Higgs boson. How did our understanding of this particle come about? How does it relate to the concept of symmetr…

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Molality and Colligative Properties
Molality and Colligative Properties

Solute particles interfere with the physical processes a solution may undergo. These are known as the colligative processes of a solution. Ever wonde…

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Latin Vocabulary: Weather Expressions
Latin Vocabulary: Weather Expressions

How did the Ancient Romans describe the weather? What did they say when it was raining, or snowing, or thundering, or other such situations? Let's fi…

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Systems of Differential Equations Part 2: Matrices and Stability
Systems of Differential Equations Part 2: Matrices and Stability

We just looked at some simple ways to solve systems of differential equations, via modeling and elimination. But there are other methods, some of whi…

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Continuous, Discontinuous, and Piecewise Functions
Continuous, Discontinuous, and Piecewise Functions

We know a lot about functions now, so let's look at some special cases where functions get weird and jump around.

Watch the whole Mathematics playlist…

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Solubility and the Born-Haber Cycle
Solubility and the Born-Haber Cycle

Why do some things dissolve in water while others don't? Is a supersaturated solution just a beaker with a cape? Let's talk about solubility, the Bor…

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I Invaded the Podcast Bro Space (They Hated It)
I Invaded the Podcast Bro Space (They Hated It)

The podcast bro space is destroying human civilization. People like Joe Rogan and his copycats consistently platform a string of grifting frauds whos…

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Molarity and Dilution
Molarity and Dilution

Now those pesky moles are swimming! But how much solute is there? Let's learn about how we measure concentrations of solutions, and how to perform di…

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Early Byzantine Empire Part 2: Organization, Economy, and Religion
Early Byzantine Empire Part 2: Organization, Economy, and Religion

With the early Byzantine Empire understood from the perspective of its military and political affairs, let's check out its organization, economy, and…

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