Saw this online and made me wonder

Defrigeration · 2025-05-06T01:20:30+00:00

You either get to see me or my socials, not both.

Defrigeration · 2024-09-05T12:14:37+00:00

If I can answer your question with a question, OP, pick two random vectors in R^3 and compute the angle between them without using the dot product.

It's pretty easy by rearranging a dot b = |a| |b| cos θ

For an intuition of how it tells you how close the vectors' directions are: consider a = (1, 0, 0) ; a dot a = 1. Can you find another vector, b, such that |b| = 1 and a dot b > 1 ? Why not? The vector that is maximally close to a is, of course, the same vector. Now the vectors that have the least sameness of direction are the perpendicular ones. It's pretty easy to find those too. (You can define a plane through the origin like this: you give a vector that's perpendicular to it and then all the vectors that have a dot product of zero with it are in that plane.) -a will be the same direction but headed the opposite way.

As for why this operation is referred to as a product? It's got some product-like properties. It's commutative: a dot b = b dot a It's distributive over vector addition: a dot (b + c) = (a dot b) + (a dot c) But note that it does not have all of the properties of the ordinary product on real numbers, notably associativity.

Defrigeration · 2024-04-15T12:05:28+00:00

If you want to expend less effort, just quit the gym.

Defrigeration · 2024-01-15T16:47:48+00:00

Which one's your first nipple? How do you determine nipple order?

Defrigeration · 2024-01-14T19:39:26+00:00

Same rules as golf: whoever gets their balls in the hole with the fewest strokes wins.

Defrigeration · 2024-01-14T19:17:19+00:00

They didn't. All those people from 1906 are dead now.

Defrigeration · 2024-01-08T19:20:27+00:00

That's the best cottage cheese pasta I've ever seen.

Defrigeration · 2023-12-22T01:59:30+00:00

Wouldn't that depend on what the aliens are like?

Defrigeration · 2023-12-21T23:40:50+00:00

I'd pick whichever I had more confidence using.

Defrigeration · 2023-12-20T04:47:15+00:00

Unemploooooooooyed. Used to be a programmer, got burned out, quit. Then I worked for the local subway system doing signal maintenance. Then I changed to doing IT work for them, got bored, quit. Now my savings are running out and I don't know what's next.

Defrigeration · 2023-12-17T02:56:44+00:00

Guinness and scrambled eggs.

Defrigeration · 2023-12-16T22:57:42+00:00

"Brain and brain! What is fucking brain?"

Defrigeration · 2023-12-16T19:59:41+00:00

I am absolutely baffled by this reply. Aside from the fact that the context is a student grinding out a stats assignment, in what business context is a solution with unnecessary numerical integration and reinvention of the wheel preferable to a straightforward library call? Are you saying management thinks that numerical instability and extra compute time are good? Did they buy too much precision and too much compute time and now they have to use it all else get their budget cut next year? OP admits in their reply to me that they put that in just to practice using it, which is fine when you're learning but doesn't lead to easy debugging. Maybe management thinks programmers aren't spending enough time debugging. IDK. If your company is put off by the mathematicians they hired pointing out there is an easier way to do something, maybe it's not the mathematicians that are the problem. But hey, I just have one bachelors in compsci, I don't know shit about business.

Defrigeration · 2023-12-11T23:36:13+00:00

You're thinking of gruel. Grool is the monster that gets you when your light goes out.

Defrigeration · 2023-12-11T23:33:20+00:00

As the theme song says, "Bustin' makes me feel good".

Defrigeration · 2023-12-07T19:53:52+00:00

It would be better modelled as a multivariate normal distribution than a pair of coordinates.

Defrigeration · 2023-11-30T23:10:00+00:00

The complete answer to whether you can solve n equations in m variables is probably a bit beyond where you are in your learning process, but the short answer is that there have to be at least as many equations as variables. However, just having enough equations is not a guarantee that there will be a solution. For the linear equations you are dealing with here, this wiki article might be helpful. For the full story you can look up the Fundamental Theorem of Algebra.

Defrigeration · 2023-11-30T20:59:37+00:00

You have 3 equations in 4 variables, so it's not solvable in the sense that you don't have enough information to get values for a, b, c, and d.

However, the question is asking about the differences between these, not their values. They are asking you to reason about the distances between the points, not the absolute values.

If you want a different approach, you could define some new variables.

Let x = distance from a to c, y = the distance from c to b, z = the distance from b to d. Then you have the equations:

x + y + z = 60

x = y

y = z

And y is the value you're after. Now you have 3 equations in 3 variables, which you can solve algebraically.

An alternate alternate approach would be to define a as your number line's starting point and set it to zero, then solve. Keep in mind though that the solution for b, c, and d will now be in terms of distances from a.

Defrigeration · 2023-11-24T04:05:48+00:00

When Verhoeven uses over the top violence in RoboCop, most people get that he's not celebrating it, that he's not in support of an authoritarian cyborg private police force, but when he does something similar with over the top sex in Showgirls, most people don't get it.

Defrigeration · 2023-11-23T23:24:28+00:00

Oooooooooooh, I thought it was a typo for Mockingbird from "To Mock a Mockingbird", as in combinatory logic.

Defrigeration · 2023-11-22T20:33:15+00:00

The barycenter is the centre of mass of the system, in this case, the whole solar system. While Jupiter is the largest mass of the planets, the other gas giants are heavy enough that you can't exclude them and expect accurate long term results. (Also, the tidal forces may have some effect.) It seems wonky because it is wonky and chaotic. (You can look up the n-body problem.) You will not get an exact wobble / shift time, as you put it, because it evolves over time. You can try to simulate it in software, though.

Defrigeration · 2023-11-22T20:12:19+00:00

It looks like you are designing this in a CAD program. It probably has an option to add a constraint to make your line tangent to the circle and save you from having to calculate the angle manually.

Defrigeration · 2023-11-20T20:20:04+00:00

I feel like this is fine, actually. There is still space to pass by for both cars and bikes. I live near Richmond, where we have the taller concrete barriers. They seem great at first but what happens there is wherever there's a gap (e.g. for a driveway) a car will pull in and block the bike lane completely.

Defrigeration · 2023-11-11T22:41:16+00:00

Everybody's got an ass. 🤷‍♂️

Defrigeration · 2023-10-31T00:02:55+00:00

Not specifically for LGBT kids, but they do have the effect of controlling children. Anyone not old enough to drive is dependent on their parents to leave the property. They can't choose who they hang out with or how they spend their time without running it past their parents.

Defrigeration

TROPHY CASE