Always free your spallocs.

I live in the states, they’re pretty common. They usually come in a little foil lined box with microwave instructions 😕

ಠ_ಠ

It helps me relax. Usually.

You’re welcome now where are they

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Crispellier. Wish I thought of that 😂

Only if it’s corked (gone bad) or very different from how it was described. Like if the Pringles sommelier tells you it hits the middle of your tongue with the supple taste of sour cream, and the aroma carries notes of onion but you clearly taste cheddar, send it back.

≡(ಠ ｪ ಠ)≡

Some cities have municipal internet service, which they are able to provide at a much, much lower rate than commercial options. Here’s one example of a resident in Lafayette, La. They would on average pay $73.10 annually on the municipal network, versus $690.87 annually on a private network. The same article also shows much lower average rates for commercial networks when they have to compete with public services.

So yeah, it’s just greed.

“Thousands of my countrymen will perish, but that’s a sacrifice I’m willing to make.”

AUDIENCE

BOOO! BOOO!

CATHERINE (one hand on her hip, the other defiantly pointing at the audience)

I do as I please! I do as I please! Y’all don’t know me! I do as I please!

Americans are increasingly concerned about Donald Trump’s age and fitness as dictator

I’d never seen that before. Holy shit.

How do you nominate for comment of the year?

I don’t want to go back to cleaning mouse balls.

There’s Waldo.

Accidentally at first.

I’ll give it a shot.

We can use vector spaces for thinking about things that aren’t primarily concerned with physical space like we are in Blender. Let’s imagine something practical, if a bit absurd. Pretend we have unlimited access to three kinds of dough. Each has flour, water, and yeast in different ratios. What we don’t have is access to the individual ingredients.

Suppose we want a fourth kind of dough which is a different ratio of the ingredients from the doughs we have. If the ratios of the ingredients of the three doughs we already have are unique, then we are in luck! We can make that dough we want by combining some amount of the three we have. In fact, we can make any kind of dough that is a combination of those three ingredients. In linear algebra, this is called linear independence.

Each dough is a vector, and each ingredient is a component. We have three equations (doughs) in three variables (ingredients).

This is a three dimensional vector space, which is easy to visualize. But there is no limit to how many dimensions you can have, or what they can represent. Some economic models use vectors with thousands of dimensions representing inputs and outputs of resources. Hopefully my explanation helps us see how vectors can sometimes be more difficult to imagine as directions and magnitudes.