gandalf_der_12te @ gandalf_der_12te @discuss.tchncs.de

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2 yr. ago

power is the best thing in the world to work in right now, it touches sooo many aspects of humanity and is changing so fast!

100%

I don't think everybody who makes a bad claim is a troll. A lot of people just are that stupid.

regular definition of basis is not much of use in infinite dimension anyways as far as I recall.

yeah, that's exactly why we have an alternative definition for that :D

Wonder if differentiability is required for what you said since polynomials on compact domains (probably required for uniform convergence or sth) would also work for cont functions I think.

Differentiability is not required; what is required is a topology, i.e. a definition of convergence to make sure the infinite series are well-defined.

I kinda assume that insect-dying is mostly perpretated by taking all of their land away and drying up the wetlands.

I.e., hundreds of years ago, the world had 300 Million people on it. Now we have close to 10 billion, up by a factor of 30x.

That means we consume more food. Even with better soil fertility, we need more land.

That automatically and necessarily leads to a displacement of other species. Turns out that not only humans need land to live, but so does every other species. If you take that land away from them, they die. Simple as that.

I assume that it will be very difficult or close to impossible to do anything against large-scale insect dyings as long as humans take up so much space to produce food. Of course, insular areas can be reserved for wildlife to make sure that some native species survive, but it's only a small patch to conserve the species, not a large-scale spread of insects across the land. At least that's my view of it. It's not so much the chemicals that are poisoning our insects (that too, but it's not the biggest contributor), but simply the fact that we till so much soil every autumn/winter, that it disrupts insects breeding in that soil.

i am wondering (in case you know), what activates these genes?

i.e., i'd like to understand how gene regulation works in general. what causes genes to become active all of a sudden?

i.e., why does the genes allow embryos to live inside the mother, but not allow other intruders to live inside the human?

thank you, that makes sense to me.

i'm interested in actually understanding what functions what elements of the gut microbiome perform. but i guess that's a highly complicated topic, so i expect no quick answers

i just checked and there's official names for it:

• the term Hamel basis refers to basis in linear algebra
• the term Schauder basis is used to refer to the basis in analysis sense.

Uhm, i remember there's two definitions for basis.

The basis in linear algebra says that you can compose every vector v as a finite sum v = sum over i from 1 to N of a_i v_i, where a_i are arbitrary coefficients

The basis in analysis says that you can compose every vector v as an infinite sum v = sum over i from 1 to infinity of a_i v_i. So that makes a convergent series. It requires that a topology is defined on the vector space fist, so convergence becomes well-defined. We call such a vector space of countably infinite dimension if such a basis (v_1, v_2, ...) exists that every vector v can be represented as a convergent series.

I'm actually interested, is this true?

When bacteria were first discovered, people found them in the gut and thought "oh, that's horrible. bacteria cause diseases, so we must get rid of them." it was only found out much later that bacteria in the gut can improve health on average.

the same is true for many other categories of living beings, such as insects (worms), fungi; and now my question is whether it could be the same for viruses?

they're not so much machines and more blueprints that makes the machine that's already there do different stuff.

Yeah but they didn't use to be viruses, they used to be bacteria.

And they didn't integrate into human genome. They're just another foreign body that lives inside human cells, but they have their own genome still.

So, in other words, viruses did parts of the work of evolution by inventing the CSF2 and syncitin genes?

And that regulates the immune system to not respond to foreign tissue?

Uhm, yeah, but there's two different definitions of basis iirc. And i'm using the analytical definition here; you're talking about the linear algebra definition.

Trumpistan doesn't intend to face another election. He's here for the last chance; it's grab power now or fail forever. And he knows it, that's why he acts like that. The medicaid cuts are widely unpopular, but he doesn't care what voters think anymore.

Police should stop and hinder ICE conductions; after all they have the duty to protect people from illegal harm. And ICE is clearly doing illegal things.

The Trumpistan party doesn't intend to be elected ever again. That's their last attempt. They try to take the country by a coup now. They don't intend to face any votings, ever again. That's why they're acting like this.

fun fact: the vector space of differentiable functions (at least on compact domains) is actually of countable dimension.

still infinite though

comparing floats for exact equality should be illegal, IMO

units don't match, though