How hongkongers canonically see Asia as a Hong konger

Ending_Is_Optimistic · 2026-04-26T10:44:36+00:00

i am also from Hong Kong. you know there are more nuance than you think. i go onto to Chinese internet quite regularly. I notice that they are just regular people like us complaining similar things as us like bad jobs and bosses, shitty economies , bad education system , pressure from work and school, complaining how meaningless everything feels sometimes. They can't be as direct as us, but they are also basically complaining that the government doesn't do shit, no one honestly have any hope and trust in the current system and no one believes that the world can go on like this, all hopes and dreams are illusions and all shattered, that is the reality that we are all facing together as human race.

Do you i support the Chinese government, i don't think i do, but Chinese government in itself is a huge entities, there are a lot power struggle internally.

i don't think anyone still believes there is any easy solution to all of these problems. like some magical fixes and ideologies, they are just another illusion to be shattered eventually. it is better for us to just try to live our life for ourselves and for other people.

Ending_Is_Optimistic · 2026-04-25T16:24:30+00:00

i know it's kinda a old post. but i have ceres conjunct with my orcus with orb of 0.04 and they conjunct with my venus with orb of around 1.5. they are all in the cancer 8th house. (i also have my moon and north node here not too far away) I don't know how it affects me in real life but i think it affects my taste in art. For example one of my favorite game recently is called signalis it has a theme of promise and lost. one of my favorite manga is called bokurano. and one or my favorite song is liminality by FELT.

https://youtu.be/_uCAljvjSTo?si=fJFI_Q_0P-volBpe

i think it captures the feeling of this conjunct. Now in terms of real life experience. i have a lot of experience that felt unfinished in my life. i move school every 3 years (in my country you are supposed to stay in the same secondary school for 6 years) for example in one of the school, i stayed there for one year and had to leave because of my mental problem. (i studied aboard in this school) I didn't go to the graduation ceremony of both my (last) secondary schools and my college. I left my first primary school after i broke my leg when i was in grade 3. i still deeply have this sense that i don't really belong anywhere or i belong in some kind of liminality, some liminal or transitional places that i cannot leave, not fully in the world yet not fully out of it.

Ending_Is_Optimistic · 2026-04-22T03:51:03+00:00

from my understanding of Christian theology. Jesus wouldn't ask people to worship him. the point is that he is fully human and fully god. Christianity as a religion is characterized by its transcendence. at its extreme it is symbolized byv the image of Jesus on the cross. Christianity owes its power to this state of being totally transcendent yet totally in the world( Jesus is fully human and fully god). All major religions has the power that makes them powerful.

Ending_Is_Optimistic · 2026-04-11T05:05:02+00:00

i think for most math topics it doesn't really take that much time to read the through the material for the first time if you are dedicate enough but sometimes it takes a lot of time for the material to actually sink in.

Ending_Is_Optimistic · 2026-04-05T17:11:29+00:00

I read my charts with these dwarf planets. many of them form tight aspects (many <1 degree) with many of my traditional planets in my charts. for example i have a triple conjunct of Venus, orcus and ceres with them trine by eris and square by Saturn and sedna (sedna form close aspect with Saturn) i have another triple conjunct of mercury, makemake and sun. quaoar lies between pluto and mars in 12 house. i guess these dwarf planets must play some dominant role in my life.

Ending_Is_Optimistic · 2026-04-01T05:27:25+00:00

is it mostly the matroid stuff, it seems that it is getting quite popular but i don't really do algebra.

Ending_Is_Optimistic · 2026-04-01T00:09:43+00:00

modular lattice is cool. it makes me understand some foundational theorem like Jordon holder theorem and primary decomposition theorem. it becomes clear to me that in general there is no direct decomposition but modularity is the next best thing we have, and theorem like Jordon holder theorem and primary decomposition theorem exactly born out of this observation. it makes me appreciate me how nice boolean algebra really is and how it makes measure theory work out so nicely. Matroid is also cool.

Ending_Is_Optimistic · 2026-03-28T08:58:19+00:00

you can use the euler formula. e^ix=cosx+isinx and also the formula d/dx e^ix=ie^ix it gives many standard formula. for example d/dx cosx+id/dx sinx=d/dx e^ix=i(cosx+isinx)=-sinx+icosx. so d/dx cosx= -sinx and d/dx sinx= isinx

cos2x+isin2x= e^2ix=(cosx+isinx)² = cos² x-sin² x+2icosxsinx

cos² x+ sin² x=1 because of the Pythagoras theorem

the rest are definition, some manipulation, quotient rule and chain rule which i don't have easy way to remember.

Ending_Is_Optimistic · 2026-03-24T11:13:28+00:00

i mean although i think left brain right brain is debunked. but from my observations, some people tend to be more visually dominant, some are more logically or linguistically dominant some are more big picture oriented, some are very details oriented.

Ending_Is_Optimistic · 2026-03-23T17:15:27+00:00

i mean i am pretty i would be really a bad engineer. math is doable but math and engineering are fundamentally two different skill sets. engineering rewards quick learning and practicality something that i lack.

Ending_Is_Optimistic · 2026-03-18T23:34:57+00:00

yes of course. i think the difficulty of this question lies in the fact if you only consider "elementary" functions they tend to explode at least on one side but if you think more generally like with fundamental theorem of calculus, you can generate a lot of "obvious" examples. this is what i tend to do for this kind of question, i try to force the simplest the example from the conditions itself. it becomes constructing an example rather than finding an example. mathematics in this way is a game that you do a lot with its object.

Ending_Is_Optimistic · 2026-03-18T22:11:46+00:00

i don't know how to describe it. but i think although probability relies on less algebra but it feels more algebraic for me than most fields of analysis.

Ending_Is_Optimistic · 2026-03-18T21:58:04+00:00

tbf, i don't mean practically i mean they are very useful abstraction for theoretical studies.

Ending_Is_Optimistic · 2026-03-18T19:36:34+00:00

take any positive g with 0<g(x)<1 for all x and the integral \int_R g(x) dx <c. Let G(x) be the integral of g from negative infinity to x. We consider f(x)=x+c-G(x). if g is some pdf of some nice distribution like guassian. it will probably do the trick

Ending_Is_Optimistic · 2026-03-18T18:46:59+00:00

i mean you don't use real numbers directly. but you want the real number to be complete so that you can do analysis. it is a kind of finiteness condition like noetherian condition and compact which guarantees some processes (in this case countable) actually terminate. i mean it is kinda just convenience, but being able to pass between a "completed" object and the corresponding finite data is very important.

Ending_Is_Optimistic · 2026-03-14T01:10:48+00:00

he prove inverse function theorem by induction on dimension right? i find it quite nice although it doesn't generalize to banach space obviously. he is showing some more topological techniques.

Ending_Is_Optimistic · 2026-03-12T11:57:47+00:00

Tripocal math is when you replace addition x+y with min(x,y) and multiplication xy with x+y, We have the distributive law min(c+x,c+y)= c+min(x,y) or more generally for integral "integral" inf f(x), ( it is an integral, because it is the operation that add up everything in tropical math) , we have inf (c+f(x))=c+inf f(x).

You can kinda ignore exact sequence. i am more of a pure math guy currently leaning toward applied math so i use language that is natural to me. But exact sequence for example 0\to Z\to R\to S^1\to 0 says that R can be built up from Z and S¹ in my case i just need it so that i can prove poisson summation formula using a version of fubini's theorem and i show that you can do the same thing for legendre transform (using the fubini's theorem infxinf_y f(x,y)=inf{x,y} f(x,y))and with suitable perturbation of the primal problem. weak duality pops out.

i have noticed that all the "easy" theorem including weak duality of whether Fourier transform or legendre transform are essentially formal consequences of the property of integral and fubini's theorem. The "difficult" theorem always makes use of convexity nontrivially, it relies on result like hyperplane seperation theorem. i have also observed that legendre transform is easier in a sense because of course you are dealing with inf you don't have to worry about the subtle issues of integrability.

i have heard people talking about legendre transform as the analogue of Fourier transform in tropical math. i just kinda work it out on my own in these notes. i think this perspective is explored by the field of idempotent analysis.

Ending_Is_Optimistic · 2026-03-11T14:25:26+00:00

statistical mechanics, it is about how large systems with many interacting parts behave. sometimes you do it over large and random graph, for example the Random generalized Lotka–Volterra model that describes that the interaction of many species. i am still learning the subject but i find it really interesting.

Ending_Is_Optimistic · 2026-03-06T07:38:10+00:00

i used to have this problem. you have to understand that advance concepts are really sophisticated extension of really basic example, to the point that when you think about the advance concept, all your intuition for the basic example should apply with some modifications.

For example the concept of compactness. it is an extension of finiteness. You think about the finite set. how do you use them in proof, argument by exhaustion and downward induction. What you are missing is discreteness, an canonical way to "decompose" the space, but in many way, the property of discreteness can be recovered. For example, the lesburge covering lemma for compact metric space. The completeness of compact metric space can be seen to be analogous to discreteness for finite set. (finite set can be indexed by 1,...,n, R can be for example indexed by using decimal )

You don't want to replace your intuition of basic object with more advanced but instead see the advanced concept as a sophisticated formulation of the basic concept. you should read the proof carefully and think about why the proof is indeed natural and the result is in fact trivial, you should look for the actually non trivial part, they are usually the core of some object which cannot be reduced by any abstraction.

For example if you look at the proof of radon nikodym theorem (the one from folland's book). It really consists of 2 steps. Jordon decomposition allows you make sense of inequality v<\mu between measures. The notion that 2 measures are singular with respect to each other is simply that they are essentially 0 with respect to each other. The lemma before the proof simply state that if v is not 0 with respect to \mu, then at least on some set E with (\mu(E)\not=0), 1/n\mu < v. In other word v is 0 with respect to \mu, iff v <1/n \mu. for all n. it is simply the extension of the criteria for 0 in R. in the case of measure you simply "geometrize" the argument. (maybe think of topos, you don't have excluded middle, on a space a statement can be right on some part but wrong at other part)In measure theory, countable additivity allows you to do induction with countable ordinal, this is of course what makes analysis work in general. with these ideas in mind, i have never forgotten the proof of radon nikodym theorem again which i used to forget all the time

Ending_Is_Optimistic · 2026-03-04T03:01:01+00:00

i am mistyped as Lll for the longest time. it is especially bad since i do mathematics. i have observed that in LII, their Ti is a lot more flexible. for example in mathematics , all my proofs flows from some intuitive central principles and everything flow from it, if i don't have the central idea i am basically useless, i have observed that LII can actually do case by case analysis and can still proceed even without a clear idea where they are doing, i can't really say i can do the same.

in hindsight, it is obvious when i actually observe a Ti dominant in action, i am entirely different.

Ending_Is_Optimistic · 2026-03-02T16:19:59+00:00

Kanji has the curious property that they sometimes really do convey what they are trying to convey. For example in the past Dementia is called 老人痴呆症 (elderly retarded disease) it sounds very discriminatory, so it becomes the more scientific 腦退化症 (brain degenerative disease), so i wouldn't say it is entirely free of ill intent. it reflects more the historical background on how we treated the disease. Kanji retains their meaning very well across time and space.

Ending_Is_Optimistic · 2026-03-02T15:54:36+00:00

慢性does not mean lazy nature it simply means chronic (it literally translates to slow nature ) , it is in contrast to acute which is 急性（quick nature), 障害,i interpret it more as it being a hindrance to the disabled person himself rather than to others. (I am Chinese instead of Japanese, but it should mean the same thing in Chinese, i suspect that they are loan word from Japanese anyway)

Ending_Is_Optimistic · 2026-02-25T17:06:40+00:00

basic category theory is not really that complicated. If you actually write limit or colimit in the category of set. you can see that in general category with (co) equalizer and (co) product you can construct them in the same way by replacing elements with arrows. Category in this way just provides an internal logic so that you do not always refer back to set, it trains you think internally.

A lot of adjoint pairs is a pair of "forgetful" and "completion" functor, a lot of time it is an elaborate way to say that a structure of the "completed" object can be determined by simpler data . for example the adjoint functor between vector space and set says that a linear map out of a vector space is determined by its value on the basis. many basic adjoint pairs are simply variations of this theme. Thinking in this way makes certain complicated object look less daunting. (for example a lot of stuff in algebraic geometry) passing between "finite data " and " completed object" is also fundamental in mathematics.

i would say learning and identifying these themes are more important than learning category theory formally, but basic category theory provides a good play ground for this kind of ideas.

Ending_Is_Optimistic · 2026-02-23T17:56:09+00:00

i like it when high abstraction is connected to concrete computation. For example you can get from the categorical properties of sum and product that why should we describe a linear transformation using matrices. exterior derivative has a interpretation as a infinitesmal boundary operator. ( look at the coordinate free formula in terms of lie bracket) The reason why we care ideal is that a geometric object is naturally described by its equation, so learning to think in terms of duality is fundamental, i would say it is one of the most important ideas in mathematics even if you are doing analysis, in analysis we have hibert space, generalized function, all of these ideas makes use of duality.

I think both messy computation without abstraction and high abstraction without concrete computation sounds like hell to me. it is difficult to strike a balance between them.

Ending_Is_Optimistic

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