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elementary number theory doesnt require any calculus, i think itll be quite a different experience for u compared to the normal school curriculum. However if u use apostols book on analytic nt (since ur already studying his calculus book) some knowledge of calculus will be assumed for later proofs. Theres also basic results thru abstract algebra that i think are fairly accessible at high school, so i think u can give it a try fs


stop calling yourself a retard dipped in aids for pity points, it looks pathetic. to answer ur question, its like asking why music sheets arent written as "quarter note F sharp sixteenth note..." - its literally js to save time. this is especially relevant in math since maths is all about dealing with unknowns and proving new knowledge logically. imagine if u had to write "the first unknown" for x and "the second unknown which is dependent on the first unknown" for y in every step of every algebraic manipulation. the same goes for symbols like π





matrices are just a special kind of function, defined on Rn. the intuition of vectors being drawn as "arrows" correlates to them representing points in R2, R3, so on. Matrices are functions that take vectors as inputs and output vectors; theyre also called linear transformations for their certain algebraic properties.


the OP of that post clarifies shes referring to men who use testosterone and claims of "their nature" as defense for acts of violence or sexual assault. She is NOT saying that all men are violent and should be chained up, and i would actually agree with her that men who use these kinds of excuses can not be trusted.



i think u should work on ur perception of femininity - how many women do u know who wear skirts and thigh highs everyday? Is it impossible for them to look feminine without those items? Femboys compensate for our inherent masculinity by presenting hyper feminine, beyond the societal norm. however that doesnt mean you cant look and feel fem without dressing like that. this is js me but i feel like the stereotypical femboy look is so boring and has kinda lost any semblance of femininity



yes she does. Shes currently getting medical treatment at a hospital here as well, and afaik has never had any big issues surrounding her identity (apart from some ppl being dicks). However shes also very introverted so I cant speak for the club experience for trans ppl or smth. I think theres a rising conservative sentiment online but thats pretty much worldwide and it hasnt affected our personal lives at all


do the ppl commenting here even live in shanghai its gotta be chinese fearmongering bots 💀 im pan+nonbinary and have never had issues going out with my trans gf, even with pda's its just the occasional stares from uncles. I'll take getting stared at over fearing for my life like in western countries any day



tbh ive never seen anyone unironically identify as objects outside of edgy teens, i dont want to demean those ppl but its probably not smth that needs to be taken seriously imo. I also dont understand therians super well (i feel like its just a furry subculture? not sure if that counts as gender identity) if uve heard abt those


its really not that complicated, gender is a social construct in which people identify with a certain label based on their outward presentation and behavior aligning with a set of stereotypes and standards associated with that gender. in the same way that a woman who adopts a child would still be called a mother, a person with genitalia of one sex could still be another gender.



oh hey we have a few in common :3

  • fashion

  • art (traditional and digital)

  • theatre

  • roguelike, souls-like, and fps games

  • muay thai + boxing

  • pure math ( im VERY nerdy)

  • politics

  • economics

  • reading but my tastes have shifted from fiction to philosophy and social topics, started reading Keynes a few days ago

  • trying to get into photography but im kinda busy now









it could just be that the people around you arent acting very serious in general; i pretty much never have serious convos w my classmates cus its js not worth the effort + school is exhausting. Instead of interpreting it as a personal slight ("not taking ME seriously") try to stop worrying abt how others perceive u and take things at face value. If they say smths not that serious it probably isnt, dont overthink!



social progressivism and classical economic theory usually contradict each other, as free markets give businesses disproportionate power over social issues and they have zero incentive to be progressive. Supply side policy (i.e more monetarist leaning) also pushes for a removal of social safety nets such as unemployment benefits which goes hand in hand with policies targeting marginalized groups. Ofc groups such as LGBTQ+ members will be disadvantaged in such an economic system. Socialism is goated, at least read Keynes or smth



u wont lose ur "femboy look" just by working out - coming from someone who trains muay thai 3 times a week. exercise is healthy. on a related note, how bout we stop pushing body stereotypes for femboys?




















hey also did a math EE, altho not sure how helpful i can be. Graph theory has connections to tons of other fields like algebra, topology, combinatorics, hell even knot theory and analysis. Not sure if u can relate any of those to ur problem tho, but tbh im not sure why having a narrow focus is a bad thing? my EE was just on lebesgue integrstion as the main concept and pretty much everything else was just building up to it and my teacher didnt have any problem w it. I would think having a narrow focus is actually good - maybe talk to ur ee supervisor/other math teachers abt it?







if ur problem is that ppl only appreciate conventionally attractive femboys then i dont think thats smth to raise here, considering that most of the attention is coming from chasers. Most femboys are supportive of each other regardless of whether or not they look like "an anime girl". Toxic beauty standards are derived from our patriarchal society and addressing it in a femboy sub doesnt combat the root of the issue at all




C is isomorphic to M_2(R) and i may be represented as the matrix [(0 1) (-1 0)], i2 would follow standard matrix multiplication (and since matrices are linear transforms its the same as a rotation like someone else said)










i dont think dating without intending to marry would be considered player behavior by most people, especially teenagers. As much as I love the thought of marrying my gf its also more realistic/rational to not expect this since were still in hs and not even adults yet






taking both rn and i would consider myself stem inclined, tbh economics hl is just a toooon of contrnt to memorize even though none of it is rly difficult. I find myself spending as much time revising econ as physics

















basically A,B,C are just variables that we assign a 1 or 0 to - for example, a 1 in the A column means "A is true" and a 0 means A is false. the v means "or" and the hat means "and", the ! mark means "not" so the table is saying "given truth values for A,B,C, is the statement 'A or (B and not C)' true"


commented

AB for multiplication and function composition always, x,*,• typically denote some special product and no one writes A(B) for just 2 element multiplication





u have a few options - id suggest either abstract algebra if u havent looked at it yet, complex analysis or topology. all of these are quite important topics so u should learn all of them, its just abt the order u want to do it in. topology is the hardest out of these 3 in terms of abstraction imo so do what u will with that


topology is mainly motivated by real analysis, so it would be helpful to build your mathematical maturity and intuition by working through an introductory analysis text first - try ross or abbot as theyre quite friendly for self study






another 17 yo whos into math here :3 if u havent yet work through the A level further pure math syllabus since thatll be a good continuation from add maths, after that the standard pathway is linear algebra + multivariable calculus + diff eq's - after that u can branch out and begin looking at abstract math like real analysis (calculus with proofs), abstract algebra, linear algebra with proofs, complex analysis, topology, etc. - all the topics are deeply intertwined so youll do them all eventually if u pursue pure math, so the order u do it in mostly depends on whether u prefer algebra or analysis more. However i would recommend doing real analysis or abstract algebra first since they are kind of the "introductory" proof based courses that every math undergrad takes (point set topology is mainly motivated by real analysis as well and its one of the harder undergrad courses imo) these are all foundational courses, if u find a specific passion in one of them, for ex. analysis, then u can do some more specialized study like functional analysis, harmonic analysis, convex analysis, probability, operator algebras (which is what i like), etcetc. have fun! :3






i mean hes also the least popular president in history, has had a government shutdown occur both times he was in office, is taking away medicaid and SNAP support from tens of millions of low income americans, is raising the national debt by an estimated $1 trillion+, is a child rapist and pedophile, is enabling the arrest and deportation of alleged illegal immigrants without due process, and these are just his actions that i can think of off the top of my head - i think its a bit reductive to just say hes controversial (and implicitly unpopular) bc poll takers are young



i think you should look into functional analysis? a vector space of functions/operators is usually given a locally convex topology defined by its linear functionals or vice versa (look into LCTVS's and the weak/weak* topologies) personally i think its easiest to understand these topologies via convergence of nets









since you love math and obviously have some natural talent for it id say go for it, but id also recommend looking over the major concepts yourself before starting the course as it still may be overwhelming otherwise. As long as your a bit familiar with the fundamental concepts from each course the rest should be fairly straightforward since calc 3/intro LA is still mostly computational





how do u practice intuition and rigor without doing much exercises? i think making notes like this is fine, but u def need to put an emphasis on doing more practice problems as well




if she said she also thought abt making a move then i think its fine to just go for it the next time u feel the moments right (dont need to say anything!) - id just try to be gentle and quick the first time tho and remember that both of u like each other :)











not sure what advice youre looking for, but as a senior I could not imagine ever liking a freshman back - the maturity gap feels way too large that from my perspective id feel creeped out





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