Being a complex holomorphic function is an extremely strong condition.
The existence of the first derivative implies the existence of all derivatives.
Another extremely strong consequence is the identity theorem.
"Holos" means "entire" in Greek, so maybe this is a reference to the fact that due to the identity theorem, knowing the function on a small open ball implies knowing the function everywhere.
If Achilles' had his heel, Ciro had his knee.
First during University in Brazil while trying a kick up during the development of Cirodance his knee went a bit weird for a few weeks.
Then, just after arriving in France for École Polytechnique, the boys were playing indoor soccer, and to impress the girls Ciro was playing really hard, even took off his shirt, and suddenly when he was running by himself his knee snapped, he fell and it hurt like hell.
Ciro was on crutches for a few weeks, but the inflammation went away, but then he tried to play more soccer, but the knee was not as stable as before, and once he tried to run full speed, it slipped and hurt him a bit more (less severely) and so he gave up. For some reason it was not visible on the tomography made at the hospital.
Maybe Ciro should have investigated more though, certainly an experienced doctor could have done a hand pressure exam to determine which joint was damaged manually even. That was a medical failure.
So from this day on Ciro gave up on all interesting sports, and confined himself to more repetitive stuff like gym weights and cycling: Section "Ciro Santilli's sport practice". At Polytechnique he was forced to take up swimming as his mandatory sport, that was unbearably boring.
This defect is likely genetic since a close relative had similar problems.
But oh well, his then not-even girlfriend was impressed enough by the soccer or sorry enough for the sucker to marry him, so it worked out.
visualizing the Riemann hypothesis and analytic continuation by 3Blue1Brown (2016) is a good quick visual non-mathematical introduction is to it.
The key question is: how can this continuation be unique since we are defining the function outside of its original domain?
The answer is: due to the identity theorem.
Many/most microcontroller boards have analog-to-digital converters built into them, it is very convenient. E.g. it is the case for the Raspberry Pi Pico.
This is basically what Jimmy Wales had originally set out to make Wikipedia, a peer reviewed thing.
But then he noticed the entry barrier was too high while inviding an economist to review an article he wrote, and just made the more open thing instead.
Too many fun skit videos for Ciro Santilli's taste, but does have some serious derivations in quantum electrodynamics.
List of handbooks open as of 2022 at: www.maths.ox.ac.uk/members/students/undergraduate-courses/teaching-and-learning/handbooks-synopses Kudos, e.g. unlike the physics course of the University of Oxford which paywalled them. 2022 one: www.maths.ox.ac.uk/system/files/attachments/UG%20Handbook%202022.pdf
The Oxford mathematics Moodle has detailed course listings, and most PDFs are not paywalled.
E.g. the 2024 course:
- Year 1: everything seems mandatory:
- Michaelmas Term
- Introduction to University Mathematics
- Introduction to Complex Numbers
- Linear Algebra I
- Analysis I
- Introductory Calculus
- Probability
- Geometry
- Hilary Term
- Linear Algebra II
- Groups and Group Actions
- Analysis II
- Dynamics
- Fourier Series and Partial Differential Equations
- Multivariable Calculus
- Trinity Term
- Groups and Group Actions
- Analysis III
- Statistics and Data Analysis
- Constructive Mathematics
- Michaelmas Term
- Year 2:
- Mandatory big courses:
- Linear Algebra
- Differential Equations 1
- Metric Spaces and Complex Analysis
- long options:
- Rings and Modules
- Integration
- Topology
- Differential Equations 2
- Numerical Analysis
- Probability
- Statistics
- Fluids and Waves
- Quantum Theory
- short options
- Number Theory
- Group Theory
- Projective Geometry
- Integral Transforms
- Calculus of Variations
- Graph Theory
- Mathematical Modelling in Biology
- Mandatory big courses:
- Year 3: pick any 8 courses. Does not say which courses exist in PDF but we can get them from courses.maths.ox.ac.uk/course/index.php?categoryid=814 of the Oxford mathematics Moodle:
- Michaelmas
- B1.1 Logic (2024-25)
- B2.1 Introduction to Representation Theory (2024-25)
- B3.2 Geometry of Surfaces (2024-25)
- B3.5 Topology and Groups (2024-25)
- B4.1 Functional Analysis I (2024-25)
- B5.2 Applied Partial Differential Equations (2024-25)
- B5.3 Viscous Flow (2024-25)
- B5.5 Further Mathematical Biology (2024-25)
- B6.1 Numerical Solution of Partial Differential Equations (2024-25)
- B6.3 Integer Programming (2024-25)
- B7.1 Classical Mechanics (2024-25)
- B8.1 Probability, Measure and Martingales (2024-25)
- B8.4 Information Theory (2024-25)
- B8.5 Graph Theory (2024-25)
- BO1.1 History of Mathematics (2024-25)
- BOE Other Mathematical Extended Essay (2024-25)
- BSP Structured Projects (2024-25)
- Hilary
- B1.2 Set Theory (2024-25)
- B2.2 Commutative Algebra (2024-25)
- B2.3 Lie Algebras (2024-25)
- B3.1 Galois Theory (2024-25)
- B3.3 Algebraic Curves (2024-25)
- B3.4 Algebraic Number Theory (2024-25)
- B4.3 Distribution Theory (2024-25)
- B4.2 Functional Analysis II (2024-25)
- B5.1 Stochastic Modelling of Biological Processes (2024-25)
- B5.4 Waves and Compressible Flow (2024-25)
- B5.6 Nonlinear Dynamics, Bifurcations and Chaos (2024-25)
- B6.2 Optimisation for Data Science (2024-25)
- B7.2 Electromagnetism (2024-25)
- B7.3 Further Quantum Theory (2024-25)
- B8.2 Continuous Martingales and Stochastic Calculus (2024-25)
- B8.3 Mathematical Models of Financial Derivatives (2024-25)
- B8.6 High Dimensional Probability (2024-25)
- SB3.1 Applied Probability (2024-25)
- BO1.1 History of Mathematics (2024-25)
- BOE Other Mathematical Extended Essay (2024-25)
- BSP Structured Projects (2024-25)
- Michaelmas
- Year 4: pick any 8 courses (up to 10 if you're crazy). Does not say which courses exist in PDF but we can get them from courses.maths.ox.ac.uk/course/index.php?categoryid=814 of the Oxford mathematics Moodle:
- Michaelmas
- C1.1 Model Theory (2024-25)
- C1.4 Axiomatic Set Theory (2024-25)
- C2.2 Homological Algebra (2024-25)
- C2.4 Infinite Groups (2024-25)
- C2.7 Category Theory (2024-25)
- C3.1 Algebraic Topology (2024-25)
- C3.3 Differentiable Manifolds (2024-25)
- C3.4 Algebraic Geometry (2024-25)
- C3.7 Elliptic Curves (2024-25)
- C3.8 Analytic Number Theory (2024-25)
- C4.1 Further Functional Analysis (2024-25)
- C4.3 Functional Analytic Methods for PDEs (2024-25)
- C5.2 Elasticity and Plasticity (2024-25)
- C5.5 Perturbation Methods (2024-25)
- C5.7 Topics in Fluid Mechanics (2024-25)
- C5.11 Mathematical Geoscience (2024-25)
- C5.12 Mathematical Physiology (2024-25)
- C6.1 Numerical Linear Algebra (2024-25)
- C6.5 Theories of Deep Learning (2024-25)
- C7.1 Theoretical Physics (C6) (2024-25)
- C7.5 General Relativity I (2024-25)
- C8.1 Stochastic Differential Equations (2024-25)
- C8.3 Combinatorics (2024-25)
- CCD Dissertations on a Mathematical Topic (2024-25)
- COD Dissertations on the History of Mathematics (2024-25)
- Hilary
- C1.2 Gödel's Incompleteness Theorems (2024-25)
- C1.3 Analytic Topology (2024-25)
- C2.3 Representation Theory of Semisimple Lie Algebras (2024-25)
- C2.5 Non-Commutative Rings (2024-25)
- C2.6 Introduction to Schemes (2024-25)
- C3.2 Geometric Group Theory (2024-25)
- C3.5 Lie Groups (2024-25)
- C3.6 Modular Forms (2024-25)
- C3.9 Computational Algebraic Topology (2024-25)
- C3.10 Additive Combinatorics (2024-25)
- C3.11 Riemannian Geometry (2024-25)
- C3.12 Low-Dimensional Topology and Knot Theory (2024-25)
- C4.6 Fixed Point Methods for Nonlinear PDEs (2024-25)
- C4.9 Optimal Transport & Partial Differential Equations (2024-25)
- C5.1 Solid Mechanics (2024-25)
- C5.4 Networks (2024-25)
- C5.6 Applied Complex Variables (2024-25)
- C6.2 Continuous Optimisation (2024-25)
- C6.4 Finite Element Method for PDEs (2024-25)
- C7.1 Theoretical Physics (C6) (2024-25)
- C7.4 Introduction to Quantum Information (2024-25)
- C7.6 General Relativity II (2024-25)
- C7.7 Random Matrix Theory (2024-25)
- C8.2 Stochastic Analysis and PDEs (2024-25)
- C8.4 Probabilistic Combinatorics (2024-25)
- C8.7 Optimal Control (2024-25)
- CCD Dissertations on a Mathematical Topic (2024-25)
- COD Dissertations on the History of Mathematics (2024-25)
- Michaelmas
This will likely be the best TV adaptation of Water Margin for all eternity, until AGI deepfakes a better one.
Official CCTV YouTube playlist: www.youtube.com/playlist?list=PLIj4BzSwQ-_sEAJsZnbcxV7sBc51XE8Z5. No English subs however.
The music is amazing. A full playlist: www.youtube.com/playlist?list=PLGOZmHa7O-aHQsIx_XVoGk8IwOCas6pgX. This is the opening: www.youtube.com/watch?v=t6p3ks3IyA8&list=PLGOZmHa7O-aHQsIx_XVoGk8IwOCas6pgX&index=19.
The only downside is the usage of slightly Supernatural Martial Arts.
It must be said that the series gets worse as it progresses. The best part of it is the backstory of individual characters, and how noble men are made fight their government. As things progress however, it becomes more of a mass battles thing, so less interesting. This is perhaps a problem of the novel itself, which an adaption cannot avoid. The good part basically ends with the end of Wu Song's story at episode 22.
One of the most amazing things about this series is learning about how people lived in the past. It feels very realistic. Some amazing details:
- on the pharmacy, they used a leg powered grinder. Ciro Santilli's wife said she had actually seen one those in use in China
- to indicate that something is for sale, the would attach some straws around it
- it is totally fine to talk to an old person about giving them money to buy a nice coffin
- some dudes drink baijiu from bowls. One wonders how much truth there can be in that.
- Gao Qiu
- 1 the rise of Gao Qiu:
- Gao Qiu and his gang bully a street performer. Wang Jin, a military officer responsible for training the troops, beats the fuck out of the gang upon seeing the scene.
- Gao is politely fired from the pharmacy and given a recommendation letter for a new position somewhere else. He is bounced again, and finally accepted as assistant to a wealthy household. The actor and the way Gao Qiu is portrayed is very subtle. Makes you almost like him or feel sorry for him. Good job.
- while delivering two small jade statues to a wealthy friend of his current master, he stumbles upon the friend playing cuju with some attendants, and shows off his incredible abilities. The friend soon asks his current master to give him over, and the old master complies.
- the new master much appreciates Gao Qiu because of his playing. Gao Qiu's old gang of misfits comes looking for him, and he invites them to restaurant the next day. But at the restaurant, he menaces his old friends who adore him, saying that they must never try to find him again. Gao then orders his men to beat the old friends with sticks. He asks the men to not beat the old friend who adored him the most so as to look as if he were an accomplice with Gao, and the other old friends then beat him up as well themselves.
- Gao's new master becomes the emperor for some reason. The new master, now emperor, then also promotes Gao, of whom he is very fond of, to a very high military rank for which he has no qualifications. Want Jin learns of this as Gao will now be his boss, and foreseeing trouble asks for fake sick leave on the first day that Gao will be there.
- Upon learning about the sick leave, Gao remembers Wang Jin, and calls him in regardless, and orders his men to beat him severely with sticks as a punishment for faking to be sick. An advisor pleads him to stop as that would look bad in his first day in charge.
- while Wang Jin's mother nurses him to recovery, they decide that it is best if they escape to another city to avoid Gao's persecution. Wang Jin the flees carrying his mother on a wheeled cart. Upon learning of this, Gao orders Wang to be arrested for leaving his post. The shirtless scene in which Wang is treated by his mother shows how physically prepared the actor was, well done. Might be on steroids.
- 1 the rise of Gao Qiu:
- Lu Zhishen
- 2 Beating up the Lord of the West.A Shi Jin comes to a new city, Weizhou (TODO modern location) looking for Wang Jin, and instead finds another officer called Lu Zhishen.Lu was doing a feat of super Strength by saving some damsel in distress from a cart with out of control horses by simply holding the cart up, which impresses Shi Jin.Shi Jin then tells Zhishen how he met Wang Jin by chance who coached him in the martial arts, and some more backstory that is impossible to follow. Shi Jin's story is told properly in chapter 2 and 3 of the novel according to Wikipedia, before Lu's own story is told on chapters 3-7, but this adaptation skips it.While they are talking, there is some lady crying nearby, and Zhishen ends up helping her out. She had been deceived by the butcher Zheng, and now ows him money and cannot leave town.Butcher Zheng is a ruthless fellow, one amazing scene shows him throwing a knife at a dog that was stealing some of his meat, and telling his men to skin the dog so they can eat it, saying:in Chinese:
You eat from me for free, so I eat from you for free!
你白吃我,我白吃你!
Next morning, Shi Jin leaves whil Zhishen is sleeping his drunkenness off, and when Zhishen wakes up he goes to escort the damsel out of town. When he arrives, Lu's hotel keeper underling is causing trouble, and he slaps him hard and forces him to massage his legs while the lady can escape.After that, he pays butcher Zheng a visit. First he pisses Zheng off by making an order of 5 kg of lean minced meat. Minced meat was produced by cutting it up with two meat cleavers, a rather tiring job Ciro's mother in law sometimes did that when there was no pork mince but there was a piece of pork laying around, can you believe it!Lu then asks Zheng to produce 5 kg of minced fatty, a weird request, but to which Zheng complies, causing him much effort.Lu then finally asks for 5 kg of minced bones! Zheng understands that Lu is not trying to buy from him, and a fight ensues, in which Lu soon kills Zheng with his bare fists, and then escapes to avoid justice.Lu ends up finding the damsel he had helped earlier in another town, and she's doing fine as the concubine of a wealthy man, who then helps him become a monk to avoid justice, but entering a monastery to which the man had donated money. - 3 Lu can't follow the monastery rules, notably not drinking alcohol and not eating meat, and gets kicked out, sent to find work in another monastery at the Capital
- Lin Chong
- 4 Lu arrives at the new monastery at the capital and is assigned to take care of the vegetable garden that was being pilfered, which he does well. In a remarkable scene, he shows his might to the thieves by uprooting a willow three. Later on, while demonstrating his fighting skills to his new acquired followers, Lin Chong is passing by and takes notice. The two fight a few rounds to measure each others strengths and are impressed by one another.
- 5 The magistrate, possibly after some bribing, does not dare accuse Lin of attempting murder, which would mean the death sentence. So he reduces it to 20 beatings with a stick and banishment to TODO Chang something. They then plan to kill him on the way and make it look like an accident.
- 6 On the way to prison which is in another town, while crossing a forest, the two underlings attempt to murder Lin Chong, but Lu Zhishen appears and saves him.
He intimidates the men by breaking a tree with his staff, Lu really has something against trees it seems. Lin Chong decides to still go to prison so as to not become a fugitive, and arrives safely in prison. - 7 Men from the capital are sent to the prison to kill Lin Chong. They transfer him to a barn, and try to set the barn on fire, but Lin Chong happens to be staying at a small nearby temple in which he made an offer to the Gods of the mountain. The killers then come by to take cover, and Lin Chong murders them with his spear, thus sealing his fate as a fugitive forever. The killing is represented in this painting: en.wikipedia.org/wiki/File:Yoshitoshi-Lin_Chong.jpg
- 8 Lu's followers lure Gao Qiu's adopted son into a trap, and cut off his genitals. Lin Chong goes to Mount Liang marsh. He head of the bandit group there does not want to take him in afraid that he will steal his leadership post, but his second in commands badly want Lin Chong to stay, recognizing his worth. The leader asks him to kill someone to prove his commitment, but Lin refuses to kill innocent people. Still, ends up staying having nowhere else to go. At the end, the Yang Zhi, the Blue Faced Demon, passes by the Mount Liang marsh. Je has just lost a stone shipment for the Emperor's stone garden due to a storm while he was on boat. The garden is a useless pursuit directly supervised by Gao Qiu.
- Chao Gai and the original 7:
- 9 The Blue faced demon returns to the capital. He tries to bribe bribe Gao Qiu for forgiveness for losing the stones, but it fails and he is thrown into jail. He is then forced to use all his money to bribe his way out of jail, and after leaving has to sell his precious family inherited sword to eat. A local bully who often eats merchants food without paying, because he has connection to corrupt officials, asks to see the sword. Although the does not appear serious about buying, the Blue faced demon displays it to him and the crowd. The incredible sword can:In order to demonstrate the cutting of a man, the demon asks for someone to bring a dog, but the bully keeps insisting that a man must be used. When he starts to get physical, the demon kills the bully by semi-accident with the sword. After being cut and just before dying, the bully recognizes that the sword is truly a magnificent weapon.
- cut copper without denting. He demonstrates this on some copper coins
- cut a hair placed on it by simply blowing the hairs
- cut through a man without being stained by blood
The demon turns himself in for the killing, but because it was a semi accident with many witnesses to support him, all of which hated the bully, he is exiled to another city rather than put to death. Upon arriving in the new city, the governor of the new city seems happy to have him as a great warrior and releases him and gives him a good reception, having him demonstrate his weapon skills to court. - 10 The Blue faced demon is tasked by his new master with delivering some expensive birthday gifts from the new city to the capital, a dangerous task. He proposes transporting the gifts as ordinary goods in cheap looking packages to divert the attention of thieves.The scene then cuts to the Red Haired Devil and other men plan to steal the gifts, which is morally justified because they are being sent from one corrupt official to another. The leader of the group of thieves dreams about the Big Dipper and the number of stars coincides with the number of accomplices that ends up forming somewhat by chance. The band makes a formal oath to their goal and intentions, in which they burning papers (presumably with written promises) and drink baijiu ritually. The seven are:
- Chao Gai, the leader
- Red Haired Devil: en.wikipedia.org/wiki/Liu_Tang#:~:text=Liu%20Tang%20is%20a%20fictional,the%20108%20Stars%20of%20Destiny.
- en.wikipedia.org/wiki/Wu_Yong strategist
- en.wikipedia.org/wiki/Gongsun_Sheng taoist warrior
- 3 Ruan brothers Ruan Xiao'er, Ruan Xiaowu, Ruan Xiaoqi,
- 11 The gifts are stolen after the party carrying them is tricked into drinking poisoned baijiu which makes them sleepy.
- Song Jiang becomes a murderer
- 12 The investigation to find the gifts discovers who the culprits are, but they manage to escape to Mount Liang marsh after Song Jiang tips them off that the authorities are coming.
- 13 The thieves reach Mount Liang marsh to seek refuge. The boss is hesitant about taking them in, because their crime is so serious that it would lead to increased attention from the emperor, and also because he's afraid they would take up his place. Lin Chong on the other hand is happy they came, since he's in a similar situation to them. He also tries to separate the men, but they simply refuse to be put apart, as they are sworn brothers. It is quite homoerotic. He eventually gets so mad he murders the chief, and declares Chao Gai as chief.
- 14 Song Jiang marries some cute unfortunate chick who sings and plays the pipa really well just to help her out. But unlike his clerk, he doesn't want to fuck her, he's likely thinking about his brothers all sweaty in the marsh. One day he even invites the clerk to stay with his wife because he's not interested. Unwise. The clerk then sings to her, as he also sings and plays pipa very well. The red haired devil drops buy and wants to give 100 taels of gold to both Song Jiang and to the captain that let Chao Gai escape. Song Jiang refuses, taking only 1 bar as a token. The captain accepts. Song Jiang's wife then willingly confesses that she is having an affair, and Song Jiang doesn't care, he gladly signs a divorce agreement, and gives her the house. She later finds the letter from Chai Gai which would implicate Song Jiang with the bandits. She tries to bribe Song Jiang into fucking her, only then will she give the letter back, but Song Jiang is not happy with that, and instead pulls out a knife, and in the struggle kills her by semi accident. People in this novel should really learn not struggle around with open blades!!
- Wu Song
- 15 Song Jiang escapes to his father's home, and his father hides him. The authorities were supposed to arrest his father and torture him in-lieu of the missing son, but the father has an official document in which he had previously cut ties with his son. Song then goes to Lord Chai. At Lord Chai's he meets martial artist Wu Song, who is about to leave Chai to go home.
The scene then follows Wu Song. He goes into a bar and drinks superhuman amounts of baijiu: 18 bowls, and in a place that prides itself for having a specially strong baijiu, the bar is called "3 bowls and you can't cross the bridge". When leaving, the bar keeper tells hims that here is a tiger on the loose, but he's not scared. While he sleeps, the tiger comes, and after some struggle he manages to kill the tiger by beating it to death with his bare hands!The scene then cuts to a dwarf Wu Dalang that sells some king of bun, and who has a beautiful wife. They call the buns 炊饼. Here they ask if those are mantou or not: www.zhihu.com/question/20248788. They show their deep love for each other, despite being poor. Rape incoming.- 16 Wu Song arrives in the city that was offering a bounty for the tiger and is received as a hero. He was about to go off searching for his brother in another town, but surprise, Wu Dalang is his brother. So he takes a job from the local magistrate who appreciated him having killed the tiger, and starts to live with his brother. The beautiful wife then starts to become sexually interested in him, the scenes that show that are very good. At the end of the episode, she proposes openly to Wu Song, in a cliffhanger ending.
- 17 Wu Song refuses her and moves out and does not tell his brother what happened Wu Song then is sent for a few months in a task At the same time another rich dude Master Ximen from the city has become interested and asks the older innkeeper lady who lives nearby how to fuck the wife This is where she drops the porn quote from Wikipedia
- 18 The wife starts fucking the rich dude regularly. They hide it from Wu Dalang but gossip is already out on the street and the pear seller friend warns Dalang who doesn't believe it One day he comes home early to check but he misses them and the wife lies and pretends to be offended With the help of the pear seller Dalang finally catches them however but the rich dude just kicks the dwarf and walks away This cause serious internal injuries to the dwarf and the wife appears ashamed and goes buy medicine But unfortunately the rich dude owns the medicine shops in town and they proceed to continue fucking in the medicine shop The dwarf says that hell annul the marriage so they can do it legally but he is still very sick and if he dies before his brother comes back Wu Song is going to kill everybody. They then decide to poison the dwarf instead and the proceed killing him. The rich dude bribes the coroner and some men beat up the pear seller to keep him shut.
- 19 Wu Song returns home and finds his brother died. The big character on the grave is 祭 (dian4) from 祭奠 (make an offering to the dead). Everyone is avoiding him. The pear seller and his father moved away to another place. But he stumbles upon the boy who tells the truth. The coroner then confirms, and says he was forced to make a false statement, but already has a letter ready with the truth, including samples as proof. Wusong takes the proof and witnesses to the local magistrate, who basically dismisses the case. Guards are posted at Dalangs home to protect the wife from Wu Song, but also to prevent the wife from confessing.Wu Song starts inviting the neighbours to come over to eat one day. They try to avoid him, but he insists. They come. He asks for them to say who the killer is. The old lady tries to deny it, but the wife is so guilty she cant even speak. Wu Song cuts her throat in front of the little offering place for his brother. Wu Song sends the head of the to the rich dude, and then proceeds to murder him. He does put up a fight though. everybody Was Kung-Fu Fighting. Wu Song then burns his brothers belongings to return it to them, and places both heads, of the wife and rich dude, on the altar. He then hands himself in to the authorities, and is sentenced to a beating plus exile, the usual.
- 20 Wu Song is being transported to prison. They just take the cangue off, as he is so strong he could escape anyways. They arrive at an inn run by Sun Erniang, an innkeeper lady that makes mantou out of human meat. Before they arrive, we see a scene of two random men refusing to stay at the tavern because they've heard humours of the human meat thing. But Wu Song's party don't know about it and decide to stay and drink regardless. She tries to drug them but Wu Song only pretends to drink and fall asleep. They then fight a bit and he wins. Her husband arrives, discovers that he is Wu Song, asks for excuse, and they become good friends, since they are all Justified Criminal. Wu Song asks her to spare the guards, who wake up next morning both having dreamt that they were on a chopping board. The arrive at the destination, and due to Wu Songs reputation, he is treated extremely well by the prison ward, given food and even a bath. The reason for this is that the warden needs him to beat up some business rival, and so Wu Song beats up the bully.
- 21 A general comes and takes Wu Song from the constable pretending to like him. But in the end the general was in collusion with the bully, and frame Wu Song for theft. He is re-exiled somewhere else. On the way, they try to kill him, but Wu Song kills all the killers instead. He then goes to the general's home and murders everyone.
- 22 Wu Song is helped escape by the human meat mantou lady who dresses him as a taoist monk as a disguise. Wu Song meeds Song Jiang on his way to Mount Erlong, which is where Lu Zhishen is staying. But Song Jiang is going to Qingfeng Fort, a new place never mentioned before.
The story now follows Song Jiang. He reaches some other bandit dude Qingfeng Fort. After another evil woman, they take over Qingfeng Fort, it is quite trivial and boring. Song Jiang receives a letter saying that his father died, and he returns home ashamed for not having been there when he died, the other men go to Mount Liang marsh. Song Jiang gets home, but finds that his father is still alive, it was a trick just to bring him home. But his father is a bit sick to be honest. - Song Jiang joins the outlaws definitively
- 23 Song Jiang's father asks him to serve sentence to not become an outlaw forever, he complies. There's also the fact that a new emperor took power, and so they usually grant a general amnesty. So here we go again, exile to some random place. The brothers from Mount Liang even take out the two guards he's with, but he insists on going through with it. When will they learn. In the end, the amnesty is declared, but he's not included.
- 24 Song Jiang learns that he wasn't pardoned because they believe he is collusion with Mount Liang, and rebellion is an unpardonable crime. Song Jiang drinks a lot and writes a rebellious poem on the wall of an inn, and signs it. Someones sees it, and they arrest him for real, and ask the Capital how to punish them. The messenger however is in Song Jiang's side, and brings the letter to Mount Liang instead. They then fake a reply from the capital telling to bring Song Jiang over, and planning to free him in transit. Just after the messenger leaves, the rebels notice that they didn't fake the letter well enough, and that it will be found to be a fake.
- 25 Due to circumstances the execution is expedited. But the rebels still manage to come in time and save Song Jiang and the messenger who was going to be killed with him while they are being taken to the execution ground. Song Jiang reveals his banner, 替天行道 ("Enforcing the Way in Heaven's Name")
UniProt human: www.uniprot.org/uniprot/Q9BYF1 It is interesting to see in the Mutagenesis how many known mutations can increase or decrease SARS-CoV-2 S protein binding affinity.
There are unlisted articles, also show them or only show them.