Reflexive property of an equivalence relation is redundant.
Proof. Let ~ be an equivalence relation and pick x,y such that x~y. By symmetry, y~x. By transitivity, x~x.
Anyone got any more?
Also, spot the flaw. If you can't you should go back to 11th grade.
Define x and y
>>8836620
You can't pick x and y. The relation has to be true for all x and y in some group
Anons who study/work in labs, what is your title and what are some things you do daily? Bonus points if microbiology
Graduate student. I do chemistry.
You know, water looks like panties on a girl
>>8836524
That molecule is THICC
Can you name a single thing that isn't a thing.
an object cannot be in a set and not be in the same set...
my gf
Nothing
>he still believes in lepton flavour universality
What happened to this board?
Fuck off back to ilovescience
reddit and /pol/
Any bio-informaticians here? Or people who have experience in bio-informatics?
If so:
Do you like your job? What are your work activities? Pros/cons being a bio-informatician? Why did you chose to study bio-informatics?
The most interesting I find in bio-informatics is the molecular biology and the huge amount of data. And that bio-informatics is BOOMING in the biochemical, pharmaceutical companies or academic hospitals, so job guaranteed.
I am still figuring things out for myself. I really enjoy biology, chemistry, math, statistics. But I have 0 expierence in programming. Maybe I should study something else? Biology perhaps?
Doing CS, but thinking of getting a minor in biosystems. How would this differ from doing bioinformatics?
>>8836212
I do but i wont tell a nigger like you
>>8836257
What is the difference between bio-informatics and biosystems? And don't you think you will get a hard time studying biology after years of 0 biology?
In this thread we post scientific facts/subjects that blew our minds through the years. Age don't have to be specific, can start and end at any age. Facts doesn't have to be of increasing difficulty. I'll start:
>Age 3: the moon is not a planet
>Age 4: numbers more than 100 exists
>Age 5: dogs and cats are separate species
>Age 7: existence of the number 0
>Age 9: existence of multiplication and division
>Age 10: existence of asteroids and planets outside the solar system.
>Age 11: the theory of evolution. Humans and chimps had a common ancestor (my dad bought a big book on animals with pictures and shit)
>Age 12: the earth has tectonic plates
>Age 13: the cell has organelles and store information in the form of DNA
>Age 15: technically speaking viruses are not living things
>Age 16: human sperm and eggs has half the number of chromosomes
>Age 17: time passes slower around objects with large mass
>Age 18: the model of the atom in highschool is totally wrong.
>Age 19: there's tricks in differentiating equations. t.ODE
>Age 20: quantum tunneling and kangaroos have 3 vaginas
>>8836109
Age 19: Reality is a paradox. There can be no beginning to "everything" as some thing must always precede it.
>>8836141
Age 19: Given infinite time, every Universal configuration will occur, and reoccur. Meaning we'll be right back here someday posting in the same shit /psy/ thread on a Mongolian Origami forum
>>8836109
>kangaroos have 3 vaginas
and you are one of them
>when you realise that you are more intelligent than 99% of people who lived before 20th century because most people back then were religious
What's the most plausible explanation for this, is it improved nutrition?
Shitty bait
We are actually less intelligent, jeuss christ was smarter than most is today.
>>8835971
Not more nutrition, but wider spectrum of available information to learn from (more books, internet, etc.), less desperation (desperate people tend to search for hopes for them, such as religion).
Is Asperger syndrome a benefit or a disadvantage? The highest IQ's have it, Einstein, Mozart and so on. What does this syndrome offer that's so helpful?
>>8835394
Ya know what's worse than having aspergers syndrome? Having aspergers syndrome and also being a brainlet. You have nothing going for you. The worst feeling is being dumb, but also being just barely intelligent to realize how dumb you are. aaaand also you will never have a meaningful relationship because of how fucking weird and dead inside you are.
>>8835394
An atypical neurology that often manifests as above average intellect and sometimes genius, along with it you occasionally gain savant abilities and very rarely extrasensory perception (on top of your hypersensitivity to stimuli), synesthesia would be an example of that.
Also >>8835394 and >>8835502 there is a reason why genius is practically considered synonymous with genius, both genius and Asperger's are atypical neurology (as being a genius isn't normal) and also why they are so closely linked.
>T. fairly intelligent (diagnosed, when I was an adult) Aspie.
>>8835543
>why genius is practically considered synonymous with genius
Correct to *Asperger's is practically considered...
I made a little Freudian slip.
Article: https://phys.org/news/2017-04-physicists-negative-mass.html
Paper: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.155301
Can someone explain to me what this means?
How can any atoms have negative mass?
Does this mean that we
>FTL
Now?
>>8835201
>first sentence of the abstract
The experiment influenced matter to acting as if it had negative mass, despite having mass. That's why the term "effective" is used. The atoms have negative effective mass, because they've been subject to conditions in which they behave in a manner that is analogous to their mass being negative.
>FTL
No, and we never will. The popularized cuckdrive doesn't actually travel faster than light, it travels a distance in a period of time which is faster than light would travel the original distance before perturbation.
as JonDang wrote under the article :
"To me it sounds like a phenomenon related to negative temperature. By applying those lasers, the atoms were confined, which also bounded the energy upwards, and at the same time excited by those lasers. When you pump in more energy than it takes for maximum entropy state, the whole system starts behaving as a negative-temperature system – microstates with higher energy are favoured, as the total energy is too high anyway.
Apply a force – a potential field, and atoms will flow towards higher energy states – towards the direction the force was applied from."
In shorter terms: if you wonna FTL with it, good luck building the LASERs to 1st lock all atoms in the ship without killing the crew or screwing up any energy systems and 2nd keeping the hole system in the "push" state all the time.
>>8835230
>good luck building the LASERs to 1st lock all atoms in the ship without killing the crew or screwing up any energy systems and 2nd keeping the hole system in the "push" state all the time.
Thanks for the well wishes. Im off to start building.
Why do scientists try to become political? Especially the black one.
>>8835120
Because he's not really a scientist.
He memed a few papers and worked in managerial positions.
>>8835120
What annoys me about him is that he tries to come across as an expert about everything and not the field he was trained in.
Like that tweet is the same kind of shower thoughts bullshit that get raped here (and for good reason). There's no reason to think that any sufficiently large population will not have different languages and culture (which will, necessarily, lead to conflict). Even "monocultures" of basic, highly collectivist animals like bees see intracinian wars.
>>8835120
>Neil "there are more transcendental numbers than irrational numbers" Tyson
what would happen if you built a magnet that could strongly pull on another magnet on pluto, then turned it on?
>>8835067
They would pull one another.
>>8835067
They wouldn't pull one another.
>>8835067
They may pull one another.
>Used to analysis/topology.
>Start studying logic.
>Only able to understand a few pages every day.
>mfw
Is logic the hardest field of math?
>>8834912
number theory
>>8834917
If I wanted to grow up to be a dinosaur as a kid, will I ever be able to master number theory?
If you cant teach it to someone else, you probably dont really know it
>>8834851
Meningitis is the acute swelling of the protective membrane covering the brain and the spinal cord.
It can be diagnosed by a CT Scan, and MRI but in usual case of Lumbar puncture.
In cases of bacterial meningitis, the patient should be placed in a clean room away from the public in order to avoid risking an epidemic.
>>8834887
Why does this happen in the first place or it's possible causes?
I haven't learned anything today but here's a neat little result about finite groups I learned recently: Given a finite nonabelian group G, the probability that two elements (taken independently and uniformly) in G commute is less than 5/8, or more clearly: [eqn]P = \frac{|\{(x,y) \in G^2, xy = yx\}|}{|G|^2} \le \frac{5}{8}[/eqn]
Here are two different proofs of this, one using the vocabulary of group actions, and one using more specifically the vocabulary of linear representations.
Proof 1: Note that [eqn]|\{(x,y) \in G^2, xy=yx\} | = \sum_{x \in G} |\{y \in G, xy=yx\}| = \sum_{x\in G} \frac{|G|}{|\{yxy^{-1}, y \in G\}|} = |G| |\{\text{conjugacy classes of G}\}|[/eqn]
which is a special case of Burnside's lemma.
From this, we get [math] P = \frac{|\{\text{conjugacy classes of G}\}|}{|G|}[/math]
Now, we write [math]|\{\text{conjugacy classes of G}\}| = |Z(G)| + |\{\text{conjugacy classes of G with two elements or more}\}|[/math]. Now, the class equation tells us that [math] 2 |\{\text{conjugacy classes of G with two elements or more}\}| \le \sum_{c \text{conjugacy class with } |c| \ge 2} |c| = |G| - |Z(G)|[/math]. Hence, putting everything together, we get [math]P \le \frac{|Z(G)|}{2|G|} + \frac{1}{2}[/math]. But, since G is nonabelian, G/Z(G) is not cyclic, hence [math][G:Z(G)] \ge 4[/math] and thus [math]P \le \frac{5}{8}[/math].
So what is your STEM job /sci/? What is your average day like?
>>8834560
Aerospace engineer here
Mostly I sit in my cubicle and make important decisions using the power of high school algebra. I also write and edit reports.
It's good money, though, and everyone, including bosses and coworkers, treat you with a lot of respect
>>8834560
I cut grass, mostly. Basically, glorified yard work. Pays the bills, I guess.
It requires a very sophisticated piece of machinery called the lawn-mower and hedge trimmers, among other things.
Got accepted into ASU a couple years ago. Was gonna go for Planetary Science, but since I live in the lowest COL area in the country and our income here is very low, I didn't have the money to pursue college. And I refuse to do student loans. Scholarships wasn't enough to give me a full ride.
So, I cut grass.
>>8834750
>I refuse to do student loans.