VPN that works in China (2018): Lantern Pro Review

The Great Firewall of China is exceptionally intelligent, it is rumored to use machine learning, deep learning and various other strategies to block users from accessing websites such as Google, Facebook, etc.

You probably have realized that most VPNs are not working well in China anymore, as of 2018.

Lantern Pro Review (China)

The one “VPN” that remains good to use is Lantern Pro. It isn’t actually a VPN, but rather a “network sharing” tool. As such, it remains relatively unaffected by the ban on VPNs by China. I have personally tested Lantern in August 2018 and find it working in good condition.

There is a free version, and also a paid version that is more stable and faster. You can first try the free version (data limit of around 800 MB) to see if you like it or not. The installation is extremely simple, basically you just click one button to connect.

URL: https://getlantern.org/

Lantern Referral Code: Use my code YJVD2WT and get 3 months free when you sign up!

Note that you need to install it before you enter China. Once you enter China there is no way you can download the installer as the entire website is blocked.

Use this referral code YJVD2WT and both you and I will get free months (1 or 3 months depending on which plan you buy).

PureVPN (Mac, iOS) not working in China (2018)

Unfortunately, to my disappointment, PureVPN is not working in China as of 2018. I previously wrote a post on PureVPN, it used to be good, but now it has been defeated by the Great Firewall of China.

The Inextricable Relationship Between Exams and Weather

Singapore is a country that prides itself on its scholastic achievements – with tuitions centers in almost every neighbourhood advertising its rockstar tutors and top-scoring students. The first day of school starts like clockwork, nobody misses a beat, everyone is punctual, assignments are due, and classes start rushing to finish the curriculum again.

This relentless pace for Singapore’s education system is because the exams are just around the corner. It may seem scary for readers that have graduated years ago but yet to have children. The pressure of school is cranked up to 11 on a scale of 10 almost immediately. Especially so for those in crucial streaming years (primary 4 / secondary 2) or graduating years (primary 6 / secondary 4 and 5 / junior college 2).

The importance of exams to the Singaporean society is paramount. As a meritocratic society, education is seen as the equalising force among the varying socio-economic classes. With a thriving bureaucratic government, the best and the brightest in national examinations tend to get the best scholarships and positions in public service afterwards. The fact is that every exam is one step closer or further away from securing the place in society.

Singapore is just above the equator – a hot and humid city with students all seeking a cool place to study. To combat the elements, the only way is cranking up the air conditioner. Almost every home in Singapore has one so to get some much respite from the hot and humid air. Students furiously studying for exams (colloquially termed “mugging” and those who do so called “muggers”) are more than likely doing so under the cool breeze of artificial temperature control.

It will be a common sight to see public places with free strong air conditioners like libraries, fast food outlets, cafes, even airport being full of students cramming away. Expect also to see plenty of midnight oil being burnt in the bedrooms and living rooms of students during the next few months. Because of the humidity of the climate being at an average of 84.2%, no matter what the temperature is, the weather is still often uncomfortable and sweat-inducing.

These are hardly the best conditions for students to focus and study. Extreme temperatures causes students to be annoyed and hence distracted. According to experts, the best temperature to be productive is at 23.5 degrees Celcius. With the average Singapore temperature in the day in the low thirties and at night in the high twenties, natural conditions are definitely not beneficial.

Does it mean that all students need to do is to set the air conditioner to high fan and low temperature? Unfortunately no. The same study also added that while that might work for the majority, 30% of people will be too cold or too hot. That means 1 in 3 will have to keep tweaking the air conditioner time and time again (yet another distraction to the studying process).

So what is a parent or student to do? Leave it up to fate on what the weather conditions are like outdoors? All the while constantly dealing with a fluctuating levels of comfort from the air-conditioner (a device purchased for the express purpose of delivering comfort)? Thank goodness that technology can step in to help.

With Ambi-Climate , a smart AI-enabled air conditioner controller, what we will have is a device that can recognise the students’ unique needs, and tailor temperatures for optimal comfort without having to ask. While traditional air conditioners only account for temperature and ignore other key factors – humidity, sunlight, changes in outdoor weather, and your daily metabolic cycle – Ambi Climate takes everything into account to help create an optimal, personalised home environment while saving up to 30% on energy

By connecting to your air conditioner and learning from your feedback, Ambi’s unique A.I. engine and smart sensors will work their magic to match the students’ needs and adjust to what they deem comfortable. Also, Ambi has an away mode, that efficiently keep your home within desired temperature or humidity thresholds. After setting a threshold of your choice (heating, cooling or drying), Ambi Climate will fulfill your preference in the most energy-efficient way; it will only turn the AC on when needed to maintain the threshold. Your home stays safe and you save money! This will come as good news for muggers as they can enjoy the breeze to keep them concentrated on the upcoming exams at hand.

153 St. Peter Fish

tomcircle's avatarMath Online Tom Circle

Bible Math: 153 St. Peter Fish
[John 21:3-11]
3  So they went out and got into the boat, but that night they caught nothing.
6 He said, “Throw your net on the right side of the boat and you will find some.” When they did, they were unable to haul the net in because of the large number of fish... It was full of large fish, 153, but even with so many the net was not torn.

1) 153= 1! + 2! + 3! + 4! + 5! = (1+2+6+24+120)

2) $latex 1^3+5^3 +3^3$ = 1 + 125 + 27 = 153

3) Take any multiple of 3, e.g. 78
-> $latex 7^3+8^3$ = 855

-> $latex 8^3+5^3+5^3$ = 762

762 -> 567 ->684 ->792 ->1080 ->513 ->153 (Always!)

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French Baccalaureate Math

tomcircle's avatarMath Online Tom Circle

Below are two French Baccalaureate Math textbooks (Volume 1 & 2) for Grade 12th (or Junior College Year 2, GCE A Level, Lycée: Terminale C) students in the late 1970s.

There was a strong Bourbaki style of influence in this Math teaching, which was later criticized as being too abstract and less applied for 18-year-old students.

Nevertheless, the syllabus proved to be excellent for those Math-inclined young minds who later entered the special 2-year Classe Préparatoire aux Grandes Ecoles – Preparatory class (equivalent to Bachelor of Science) for graduate schools in crème de la crème top universities (Grandes Écoles ) such as Ecole Normale Supérieure or Ecole Polytechnique , where the solid Preparatory Math trainings (Maths Supérieures, Maths Spéciales) are extremely rigorous and high standard, incubating most of the French great mathematicians, Fields Medalists and Nobel Prize Scientists.

Voici les 2 tomes de Mathematiques Terminales C et E

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Singapore PSLE Math baffled Anxious Parents

ChefCouscous's avatarMath Online Tom Circle

One afternoon 5 friends rented 3 bikes from 5 p.m. to 6:30 p.m. and took turns to ride on them. At any time, 3 of them cycled while the other 2 friends rested.

If each of them had the same amount of cycling time, how many minutes did each person ride on a bike?

Note: PSLE (Primary Schools Leaving Exams) is the Singapore National Exams for all 12 year-old pupils at Primary 6 year end. The result of which will determine which secondary school the pupil is qualified to enter the following year. Math subject, besides Science, English and mother tongue (Chinese or Malay or Tamil) are tested in PSLE.

[Answer] Try before you scroll down below ….

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The Universal Pattern Popping Up in Math, Physics and Biology

tomcircle's avatarMath Online Tom Circle

Key Points:

  • Bus Waiting Time Pattern
  • Biology Chicken eyes
  • Physics: Random matrix / Eigenvalues / Riemann Zeta-function for Prime Numbers
  • Universal Pattern: Normal Distribution Curve

https://www.quantamagazine.org/the-universal-pattern-popping-up-in-math-physics-and-biology-20180823/

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Category Theory III for Programmers (Parts 1 & 2)

tomcircle's avatarMath Online Tom Circle

The most interesting “Category Theory” (范畴论) for Programmers course III by Dr. Bartosz Milewski , a follow-up of last year’s course II.

Prerequisites:

  1. Fundamental of Category Theory: Functor, Natural Transformation, etc. (Course II Series)
  2. (Nice to have) : Basic Haskell Functional Programming Language. (Quick Haskell Tutorial)

1.1: Overview Part 1

Category Theory (CT) = Summary ofALL Mathematics

Functional Programming = Application of CT

Philosophical Background:

  • Math originated 3,000 years ago in Geometry by Greek Euclid with Axioms and deductive (演译) Proof-drivenLogic.
  • Geometry = Geo (Earth) + Metry (Measurement).
  • Math evolved from 2-dimensional Euclidean Geometry through 17 CE French Descartes’s Cartesian Geometry using the 13CE Arabic invention “Algebra” in Equations of n dimensions: $latex (x_1, x_2,…, x_n) $, $latex (y_1, y_2,…, y_n) $
  • Use of Algebra: 1) Evaluation of algebraic equations (in CT: “Functor”) ; 2) Manipulation. eg. Substitution (in CT :…

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Took special needs son to Australia; he graduated from uni at 17

Very motivational story. Suitable for parents to read; sometimes a change of environment is what it takes for your child to reach his/her full potential. Though the Singapore education system is quite good on the whole, there are some gifted children who are unsuited to such an education.

Note that the financial costs are very high to study in Australia: It costs at least $262,000 for an Australian degree, according to Straits Times. The mother in the story below has 4 children studying in Australia, so one can imagine the heavy financial burden.

Also see our previous post on: School System Video (Do not make a fish climb trees).


Source: Facebook of Pamela Liu

(There is also a forum discussion at Kiasuparents.)

This is just a piece of paper, but a paper that is full of sweat, tears and stories.

Just not too long ago, in 2011, Sean was labeled with multiple learning disabilities. Even though he was selected to be in the gifted education program (GEP) in Singapore, we were told we have to withdraw him from the program because they didn’t want him after spending a year there. Instead, they wanted me to put him into a school for special needs children.

Sean did not want to go to the special needs school, because he felt that he did not belong there. The psychologist we hired told us that the place was not suitable for him. MOE and the school were not happy we did not heed their advice, some are not happy that I refused to put him on ritalin. So the only solution they gave me was to exclude Sean in all school activities if I were to send him to school.

They would put him in the principal’s office. The school, out of the goodwill of the principal, will assign a Math teacher to him.

What about other subjects? And what if you just allow him to take PE and recess with his peers? I asked. It was a straight no.

I couldn’t send my son to school to sit in the principal’s office all day long, he would never understand why he was not allowed to mingle with his friends. So I took him home.

I had no solution, but I was determined to find one. I will educate him myself, I thought.

The psychologist told me that homeschooling Sean will endanger me, I had no clue what that meant when she first told me that, but I did not have an alternative. So I brought him together with the rest of the 4 kids to Australia, determined to find a solution for each kid.

The older two kids were attending university but Sean and the other two younger ones had no school to go to, since they were not residents, no public school could take them, the private schools were full.

Out of the container that I rented, I taught Jo and Sean daily for two hours. He was 10, and we moved quickly from Year 4 work to Year 12 work. All within six months. He was attentive and a quick learner. He even won some medals for his SAT exams for being a top scorer. Jo moved from Year 8 to Year 12 in that time period too.

Jo became the youngest the university matriculated at 13, outdone only by Sean. By 11, he enrolled in UQ, and became the youngest they matriculated in history. The condition for him to attend university at this age was that I must accompany him for every class.

I gladly did. Every class, every day, every moment. 30 to 40 hours a week, plus having to bring up 3 other teenagers and a younger son, and all by myself.

Half way through the degree, he started to fail everything. He told me he really did not like that he had no age peers. So we stopped university and got him enrolled in high school.

In high school, he felt out of place, he found kids noisy and boisterous. After 18 months in high school, we decided to dual enroll him, both in the university and high school.

When it got too noisy in school, he would hide in the toilet, sometimes for the whole day. It became so bad, the tutor wanted me to bring to see a psychologist. The psychologist, to my surprise, told me that Sean is way ahead of his peers socially. All these years, I was told he is autistic, in that he is socially poor, and all these years, I was told to send him to therapies so he could catch up and learn social skills. Five years of doing all these later, I was told he is the opposite. His problem is that he cannot endure the childish behaviour of his age peers.

Sean turned 16, he could attend classes in the university alone finally. After sitting in for 2 years full-time and 2 years part-time, I finally bought some time for myself (except that Youngest One started university on the same terms, and so I have to sit his classes).

Sean started to skip many many classes. In the end, we found out that he was sleeping in the library. It is also then we found out that he has a sleeping disorder, narcolepsy. The university made some provisions for him, so that his exams are never in difficult hours of the day.

That was just last year. And with that, he finally graduated with his degree, and is into his second semester on his masters program.

What a journey. This piece of paper is probably the most hard earned one for me this lifetime. It is also the most precious.

Sean is now 18, he is officially an adult (in Australia), and looking back, I will never do it any other way. I think, journeying this with him has made me a much better person than otherwise. I am thankful for all that we had to go through, and I am thankful he was put into my life. I learned so much.

Well done, Sunshine Boy.

*Even though Sean started university the earliest, he did not
graduate the youngest at 17 because of his multiple anxiety problems. Jo graduated at 16 and the Youngest One will graduate at 16 as well. It really does not matter. We took the time to adjust and ensure each child is comfortable in the education path. Education is about finding our kids’ potential and bringing that to the fullest. Isn’t it? Time and age should not determine what we do with them.

**If you want to know about the costs of doing this, I have made some videos and in the midst of editing them. They will be available in two weeks. Go to this link and watch for it: www.facebook.com/liupam

2018 Fields Medallists

URL: https://www.quantamagazine.org/tag/2018-fields-medal-and-nevanlinna-prize-winners/

I find that the above link by Quanta Magazine has the most detailed and educational write up about the 4 new Fields Medallists:

  1. Akshay Venkatesh, a former prodigy who struggled with the genius stereotype
  2. The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists
  3. The mathematician Caucher Birkar was born on a subsistence farm and raised in the middle of the brutal war between Iran and Iraq.
  4. he mathematician Alessio Figalli is rarely in one place for very long. But his work has established the stability of everything from crystals to weather fronts by using concepts derived from Napoleonic fortifications.
  5. Also included is the theoretical computer scientist Constantinos Daskalakis, who has won the Rolf Nevanlinna Prize for explicating core questions in game theory and machine learning.

Programming is Math Proof: Structured Programming

ChefCouscous's avatarMath Online Tom Circle

Keywords:

  • Dijkstra, Edge Wyber (born 1930 Rotterdam)
  • Goto is harmful
  • Structures: sequence, selection, iteration

Three Programming Paradigms:

1. Structured Programming (1968 Dijkstra)

  • Impose discipline on direct transfer of control aka “Goto“.
  • “If/ then /else, do/while” control structures are structured.

2. Object-Oriented ‘OO’ (1966 Ole Johan Dahl & Kristen Nygaard)

  • Impose discipline on Indirect transfer of control (polymorphism, ‘constructor‘ function of class, it’s local variables = instance variables).

OO = Combination of Data & Function.

3. Functional Programming (1958 John McCarthy’s LISP language, based on Math “Lambda Calculus” from Alonzo Church 1936).

  • Impose discipline upon assignment (side effect, immutability of data, Referential Transparency).

4. Any more ?

All Programs can be constructed from just 3 structures (Böhm and Jacopini, 1966):

Sequence / Selection / Iteration.

Dijkstra’s Math Proofs for:

1. Sequence – by simple enumeration.

  • Math Technique: trace the inputs…

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