I think that means alcohol poisoning
It actually means tuberculosis
I think that means alcohol poisoning
It actually means tuberculosis
Okay. That’s a very convincing analogy. Thanks for the thought out response. Forgive me for being rude.
That is not how Hispanic is used in the dataset. Just read the methodology for crying out loud.
Just say you recently came into some inheritance and that you are looking into investment opportunities. Then they will expect you to be out of your element, so you won’t need to try to pretend you’re someone you’re not. If they ask about the inheritance, say your grandfather made a fortune selling lumber or something boring like that.
I heard it was supposed to be human body temperature, but they used horse body temperature instead because it was close to human body temperature but more… stable.
A vector space is a collection of vectors in which you can scale vectors and add vectors together such that the scaling and addition operations satisfy some nice relationships. The 2D and 3D vectors that we are used to are common examples. A less common example is polynomials. It’s hard to think of a polynomial as having a direction and a magnitude, but it’s easy to think of polynomials as elements of the vector space of polynomials.
You have the spirit of things right, but the details are far more interesting than you might expect.
For example, there are numbers past infinity. The best way (imo) to interpret the symbol ∞ is as the gap in the surreal numbers that separates all infinite surreal numbers from all finite surreal numbers. If we use this definition of ∞, then there are numbers greater than ∞. For example, every infinite surreal number is greater than ∞ by the definition of ∞. Furthermore, ω > ∞, where ω is the first infinite ordinal number. This ordering is derived from the embedding of the ordinal numbers within the surreal numbers.
Additionally, as a classical ordinal number, ω doesn’t behave the way you’d expect it to. For example, we have that 1+ω=ω, but ω+1>ω. This of course implies that 1+ω≠ω+1, which isn’t how finite numbers behave, but it isn’t a contradiction - it’s an observation that addition of classical ordinals isn’t always commutative. It can be made commutative by redefining the sum of two ordinals, a and b, to be the max of a+b and b+a. This definition is required to produce the embedding of the ordinals in the surreal numbers mentioned above (there is a similar adjustment to the definition of ordinal multiplication that is also required).
Note that infinite cardinal numbers do behave the way you expect. The smallest infinite cardinal number, ℵ₀, has the property that ℵ₀+1=ℵ₀=1+ℵ₀. For completeness sake, returning to the realm of surreal numbers, addition behaves differently than both the cardinal numbers and the ordinal numbers. As a surreal number, we have ω+1=1+ω>ω, which is the familiar way that finite numbers behave.
What’s interesting about the convention of using ∞ to represent the gap between finite and infinite surreal numbers is that it renders expressions like ∞+1, 2∞, and ∞² completely meaningless as ∞ isn’t itself a surreal number - it’s a gap. I think this is a good convention since we have seen that the meaning of an addition involving infinite numbers depends on what type of infinity is under consideration. It also lends truth to the statement, “∞ is not a number - it is a concept,” while simultaneously allowing us to make true expressions involving ∞ such as ω>∞. Lastly, it also meshes well with the standard notation of taking limits at infinity.
I don’t know the reason. I think not having the extra blank lines would be better, but it works just fine as is - even the post admits this much. That’s why it’s an enhancement. It’s possible for software to be functional and consistent and still have room for improvement - that doesn’t mean there is a bug.
My point is that someone made the decision for it to do that and that the software works just fine as is. It’s not a bug, it’s just a weird quirk. The fact that they made the enhancement you requested doesn’t make the old behavior buggy. Your post title said “it’s not a bug, it’s a feature!”, but the behavior you reported is not accurately classified as a bug.
It’s not a bug just because the software doesn’t conform to your personal preferences. You’re asking for what would be considered an enhancement - not a bug fix.
No. I’m just wrong, lol