【教學及學生申辦業務請務必配合防疫措施辦理】(#5月21日更新)
Teaching and students’ application please cope with epidemic procedures (#UpdatedMay21)
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各位好:
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因臺北市及新北市已有多起染疫個案,且持續增加中,疫情已是警戒標準的第三階段,除校方已於5月14日發布本校各項防疫措施以茲因應外,有關教學及學生申辦業務相關因應措施,務必配合辦理:
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(1) #5月17日起至本學期結束(109-2),#本校所有課程 (#含期末考) #全面採用遠距或線上方式辦理。教師可善用學校新一代數位教學平台 NTU COOL,上傳課程影片進行非同步之遠距教學及進行線上測驗。有關期末考評量方式,本校提供在家線上測驗、線上口頭報告及互評或線上實作演練等彈性辦理形式,請參閱附檔( http://curri.aca.ntu.edu.tw/covid/課程評量調整建議.pdf ),並請老師預作準務必遵守防疫規範。
(2) 教務處原先各項需透過授課教師、導師、指導教授、系所及其主管等親簽之文件,包含停修、休學、輔雙等臨櫃業務,改採變通方式辦理。學生得透過e-mail附帶已填妥之相關表單及/或檔案,寄送該表單給老師及承辦單位,以老師及承辦單位同意之e-mail取代簽名後,再由申請學生將e-mail轉寄所屬教務單位承辦同仁。惟仍依各項申請規定之截止時間辦理。
(3)碩博士生學位考試得以視訊方式進行。#遠距口試的委員仍將致送口試費用,#但不得請領車馬費。委員簽名可採電子簽名。
(4)因應疫情,109-2學期繳交論文的截止時間延至8月31日,因隔天就是下一個學期開學日了。口試的時間也彈性處理,只要碩博士班學生能夠在8月31日以前完成繳交論文程序,就能如期畢業,如果無法在8月31日前完成繳交論文的程序,則下一個學期須註冊繳費,而修業期限屆滿者應令退學。
※教務處註冊組承辦人員資訊:
http://www.aca.ntu.edu.tw/reg/sections_detail.asp?id=2
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下列各院、系學士班學生,請mail給教務處註冊組承辦人:
(1) 文、理、社、工、生物資源暨農、管理、電機資訊、法律、生命科學院。
(2) 醫學院:護理系一年級、除學士後護理學系外其他系一、二年級。
(3) 公共衛生學院一年級。
※教務處課務組承辦人員資訊:
http://www.aca.ntu.edu.tw/curri/cur_staff.asp?id=2
※教務處研究生教務組承辦人員資訊:
http://www.aca.ntu.edu.tw/gra/sections_detail.asp?id=2
下列各院、系 (所) 之碩、博士班研究生,請mail給教務處註冊組承辦人:
文、理、社會、工、生物資源暨農、管理、電機資訊、法律、生命科學院。
※醫學院教務分處承辦人員資訊:
http://www.aca.ntu.edu.tw/macd/sections_detail.asp?id=2
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下列學生請mail給教務處註冊組承辦人:
(1) 醫學院:學士後護理學系所有學生;護理系學士班二年級以上及其他系三年級以上學生;各系 (所) 研究生。
(2) 公共衛生學院:公衛系學士班二年級以上學生及各系 (所) 研究生。
※教務處數位學習中心承辦人員資訊:
錄製課程相關諮詢 /
02-3366-3367 #566、563、586
NTU COOL數位教學平台 /
02-3366-3367 #598、02- 3366-3366 #25580
數位TA申請 /
02-3366-3367#584
U Meeting、U Webinar /
02-3366-3367#532
若老師在教學數位化上有任何問題,請參考數位學習中心專頁 (https://www.dlc.ntu.edu.tw/superkit/)
由衷感激大家在此時局的諒解、配合!
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教務處 敬上
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Dear NTU community members,
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Due to a rapid escalation in the number of COVID-19 cases in Taipei City and New Taipei City recently, the epidemic situation is now approaching Alert Level 3 (orange light). In response to this urgency, the University is asking all academic and administrative units to comply with the following preventive measures:
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1) Starting May 17th, all classes will be switched to remote-only instruction for the rest of the spring semester. Instructors can upload their lecture videos to NTU COOL. Since the epidemic is escalating, the alternative to on-site final exam for assessing students’ learning outcome is strongly recommended and planned in advance. The University provides mechanisms for conducting online testing, online oral reporting, peer assessment and online drills. Please refer to the attached document in preparation for such eventualities. ( http://curri.aca.ntu.edu.tw/covid/課程評量調整建議_eng.pdf )
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2) To prevent the epidemic, all application forms with review and/or signature from course instructors, mentors, advisors, and/or supervisors of departments/graduate institutes/degree programs (Course Withdrawal, Leave of Absence, Dropping Double Major and/or Minor Study etc. are included) can be replaced with flexible application procedures. Students can mail to the person and/or unit in charge with application form as attachment. If they approve your application, please forward this approved mail to the according unit of Office of Academic Affairs [note]. Late submissions will not be accepted.
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3) Graduate students can take their master’s or Ph.D. thesis/dissertation defense through the video conference. The signature of the committee member can be replaced by an electronic scan. The committee members who use the video method to conduct the master’s or Ph.D. thesis/dissertation defense are allowed to apply for their attendance fee, but not allowed to apply for their travel allowance.
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4) In response to the COVID-19 pandemic, the deadline of the thesis/dissertation submission for the second semester of the Academic Year 2020-2021 has been extended to August 31, 2021 because the next day is the first day of classes for the next semester. The deadline for the thesis/dissertation defense is also flexible. As long as the Master’s and Ph.D. students can complete their thesis/dissertation submission process by August 31, 2021, they will be able to graduate on schedule. If the students are unable to complete the process of submitting their thesis/dissertation by August 31, 2021, they have to pay the tuition and fees for the next semester, and if their maximum period of study has expired, they shall be ordered to be withdrawn from the university.
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[NOTE] Students affiliated in the following units shall mail to the Branch Office of Academic Affairs of the College of Medicine: Second Degree Bachelor of Science in Nursing (all students), Department of Nursing (sophomores and above), other undergraduate departments of the College of Medicine (juniors and above) and Department of Public Health (sophomores and above); other undergraduate students shall mail to Undergraduate Academic Affairs Division. Graduate students of the College of Medicine and the College of Public Health shall mail to the Branch Office of Academic Affairs of the College of Medicine; graduate students from other colleges shall mail to Graduate Academic Affairs Division.
Undergraduate Academic Affairs Division:
http://www.aca.ntu.edu.tw/eaca/reg/sections_detail.asp?id=2
Graduate Academic Affairs Division:
http://www.aca.ntu.edu.tw/eaca/gra/sections_detail.asp?id=2
Branch Office of Academic Affairs of the College of Medicine:
http://www.aca.ntu.edu.tw/eaca/macd/sections_detail.asp?id=2
Center for Teaching and Learning Development & Digital Learning Center:
Digitalizing your courses:
02-3366-3367 #566、583
NTU COOL:
02-3366-3367 #598、580
Application for teaching assistants for digital courses:
02-3366-3367 #584
U Meeting/ U Webinar:
02- 3366-3367 #532
If there is any problem, you can refer to ntu-dlc’s website (https://www.dlc.ntu.edu.tw/superkit/) for help.
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Thank you again for your ongoing commitment to our campus and our mission during this time of challenges and change. We will find a way forward, and a way to be together again as a community in the nearer future.
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With appreciation,
Office of Academic Affairs
同時也有48部Youtube影片,追蹤數超過361萬的網紅Dan Lok,也在其Youtube影片中提到,Sell Me This Pen Is One Of The Most Common Sales Interview Tasks. In This Scenario, Dan Shows You Examples of How To Answer Your Interview Questions C...
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📜 [專欄新文章] Uniswap v3 Features Explained in Depth
✍️ 田少谷 Shao
📥 歡迎投稿: https://medium.com/taipei-ethereum-meetup #徵技術分享文 #使用心得 #教學文 #medium
Once again the game-changing DEX 🦄 👑
Image source: https://uniswap.org/blog/uniswap-v3/
Outline
0. Intro1. Uniswap & AMM recap2. Ticks 3. Concentrated liquidity4. Range orders: reversible limit orders5. Impacts of v36. Conclusion
0. Intro
The announcement of Uniswap v3 is no doubt one of the most exciting news in the DeFi place recently 🔥🔥🔥
While most have talked about the impact v3 can potentially bring on the market, seldom explain the delicate implementation techniques to realize all those amazing features, such as concentrated liquidity, limit-order-like range orders, etc.
Since I’ve covered Uniswap v1 & v2 (if you happen to know Mandarin, here are v1 & v2), there’s no reason for me to not cover v3 as well ✅
Thus, this article aims to guide readers through Uniswap v3, based on their official whitepaper and examples made on the announcement page. However, one needs not to be an engineer, as not many codes are involved, nor a math major, as the math involved is definitely taught in your high school, to fully understand the following content 😊😊😊
If you really make it through but still don’t get shxt, feedbacks are welcomed! 🙏
There should be another article focusing on the codebase, so stay tuned and let’s get started with some background noise!
1. Uniswap & AMM recap
Before diving in, we have to first recap the uniqueness of Uniswap and compare it to traditional order book exchanges.
Uniswap v1 & v2 are a kind of AMMs (automated market marker) that follow the constant product equation x * y = k, with x & y stand for the amount of two tokens X and Y in a pool and k as a constant.
Comparing to order book exchanges, AMMs, such as the previous versions of Uniswap, offer quite a distinct user experience:
AMMs have pricing functions that offer the price for the two tokens, which make their users always price takers, while users of order book exchanges can be both makers or takers.
Uniswap as well as most AMMs have infinite liquidity¹, while order book exchanges don’t. The liquidity of Uniswap v1 & v2 is provided throughout the price range [0,∞]².
Uniswap as well as most AMMs have price slippage³ and it’s due to the pricing function, while there isn’t always price slippage on order book exchanges as long as an order is fulfilled within one tick.
In an order book, each price (whether in green or red) is a tick. Image source: https://ftx.com/trade/BTC-PERP
¹ though the price gets worse over time; AMM of constant sum such as mStable does not have infinite liquidity
² the range is in fact [-∞,∞], while a price in most cases won’t be negative
³ AMM of constant sum does not have price slippage
2. Tick
The whole innovation of Uniswap v3 starts from ticks.
For those unfamiliar with what is a tick:
Source: https://www.investopedia.com/terms/t/tick.asp
By slicing the price range [0,∞] into numerous granular ticks, trading on v3 is highly similar to trading on order book exchanges, with only three differences:
The price range of each tick is predefined by the system instead of being proposed by users.
Trades that happen within a tick still follows the pricing function of the AMM, while the equation has to be updated once the price crosses the tick.
Orders can be executed with any price within the price range, instead of being fulfilled at the same one price on order book exchanges.
With the tick design, Uniswap v3 possesses most of the merits of both AMM and an order book exchange! 💯💯💯
So, how is the price range of a tick decided?
This question is actually somewhat related to the tick explanation above: the minimum tick size for stocks trading above 1$ is one cent.
The underlying meaning of a tick size traditionally being one cent is that one cent (1% of 1$) is the basis point of price changes between ticks, ex: 1.02 — 1.01 = 0.1.
Uniswap v3 employs a similar idea: compared to the previous/next price, the price change should always be 0.01% = 1 basis point.
However, notice the difference is that in the traditional basis point, the price change is defined with subtraction, while here in Uniswap it’s division.
This is how price ranges of ticks are decided⁴:
Image source: https://uniswap.org/whitepaper-v3.pdf
With the above equation, the tick/price range can be recorded in the index form [i, i+1], instead of some crazy numbers such as 1.0001¹⁰⁰ = 1.0100496621.
As each price is the multiplication of 1.0001 of the previous price, the price change is always 1.0001 — 1 = 0.0001 = 0.01%.
For example, when i=1, p(1) = 1.0001; when i=2, p(2) = 1.00020001.
p(2) / p(1) = 1.00020001 / 1.0001 = 1.0001
See the connection between the traditional basis point 1 cent (=1% of 1$) and Uniswap v3’s basis point 0.01%?
Image source: https://tenor.com/view/coin-master-cool-gif-19748052
But sir, are prices really granular enough? There are many shitcoins with prices less than 0.000001$. Will such prices be covered as well?
Price range: max & min
To know if an extremely small price is covered or not, we have to figure out the max & min price range of v3 by looking into the spec: there is a int24 tick state variable in UniswapV3Pool.sol.
Image source: https://uniswap.org/whitepaper-v3.pdf
The reason for a signed integer int instead of an uint is that negative power represents prices less than 1 but greater than 0.
24 bits can cover the range between 1.0001 ^ (2²³ — 1) and 1.0001 ^ -(2)²³. Even Google cannot calculate such numbers, so allow me to offer smaller values to have a rough idea of the whole price range:
1.0001 ^ (2¹⁸) = 242,214,459,604.341
1.0001 ^ -(2¹⁷) = 0.000002031888943
I think it’s safe to say that with a int24 the range can cover > 99.99% of the prices of all assets in the universe 👌
⁴ For implementation concern, however, a square root is added to both sides of the equation.
How about finding out which tick does a price belong to?
Tick index from price
The answer to this question is rather easy, as we know that p(i) = 1.0001^i, simply takes a log with base 1.0001 on both sides of the equation⁴:
Image source: https://www.codecogs.com/latex/eqneditor.php
Let’s try this out, say we wanna find out the tick index of 1000000.
Image source: https://ncalculators.com/number-conversion/log-logarithm-calculator.htm
Now, 1.0001¹³⁸¹⁶² = 999,998.678087146. Voila!
⁵ This formula is also slightly modified to fit the real implementation usage.
3. Concentrated liquidity
Now that we know how ticks and price ranges are decided, let’s talk about how orders are executed in a tick, what is concentrated liquidity and how it enables v3 to compete with stablecoin-specialized DEXs (decentralized exchange), such as Curve, by improving the capital efficiency.
Concentrated liquidity means LPs (liquidity providers) can provide liquidity to any price range/tick at their wish, which causes the liquidity to be imbalanced in ticks.
As each tick has a different liquidity depth, the corresponding pricing function x * y = k also won’t be the same!
Each tick has its own liquidity depth. Image source: https://uniswap.org/blog/uniswap-v3/
Mmm… examples are always helpful for abstract descriptions 😂
Say the original pricing function is 100(x) * 1000(y) = 100000(k), with the price of X token 1000 / 100 = 10 and we’re now in the price range [9.08, 11.08].
If the liquidity of the price range [11.08, 13.08] is the same as [9.08, 11.08], we don’t have to modify the pricing function if the price goes from 10 to 11.08, which is the boundary between two ticks.
The price of X is 1052.63 / 95 = 11.08 when the equation is 1052.63 * 95 = 100000.
However, if the liquidity of the price range [11.08, 13.08] is two times that of the current range [9.08, 11.08], balances of x and y should be doubled, which makes the equation become 2105.26 * 220 = 400000, which is (1052.63 * 2) * (110 * 2) = (100000 * 2 * 2).
We can observe the following two points from the above example:
Trades always follow the pricing function x * y = k, while once the price crosses the current price range/tick, the liquidity/equation has to be updated.
√(x * y) = √k = L is how we represent the liquidity, as I say the liquidity of x * y = 400000 is two times the liquidity of x * y = 100000, as √(400000 / 100000) = 2.
What’s more, compared to liquidity on v1 & v2 is always spread across [0,∞], liquidity on v3 can be concentrated within certain price ranges and thus results in higher capital efficiency from traders’ swapping fees!
Let’s say if I provide liquidity in the range [1200, 2800], the capital efficiency will then be 4.24x higher than v2 with the range [0,∞] 😮😮😮 There’s a capital efficiency comparison calculator, make sure to try it out!
Image source: https://uniswap.org/blog/uniswap-v3/
It’s worth noticing that the concept of concentrated liquidity was proposed and already implemented by Kyper, prior to Uniswap, which is called Automated Price Reserve in their case.⁵
⁶ Thanks to Yenwen Feng for the information.
4. Range orders: reversible limit orders
As explained in the above section, LPs of v3 can provide liquidity to any price range/tick at their wish. Depending on the current price and the targeted price range, there are three scenarios:
current price < the targeted price range
current price > the targeted price range
current price belongs to the targeted price range
The first two scenarios are called range orders. They have unique characteristics and are essentially fee-earning reversible limit orders, which will be explained later.
The last case is the exact same liquidity providing mechanism as the previous versions: LPs provide liquidity in both tokens of the same value (= amount * price).
There’s also an identical product to the case: grid trading, a very powerful investment tool for a time of consolidation. Dunno what’s grid trading? Check out Binance’s explanation on this, as this topic won’t be covered!
In fact, LPs of Uniswap v1 & v2 are grid trading with a range of [0,∞] and the entry price as the baseline.
Range orders
To understand range orders, we’d have to first revisit how price is discovered on Uniswap with the equation x * y = k, for x & y stand for the amount of two tokens X and Y and k as a constant.
The price of X compared to Y is y / x, which means how many Y one can get for 1 unit of X, and vice versa the price of Y compared to X is x / y.
For the price of X to go up, y has to increase and x decrease.
With this pricing mechanism in mind, it’s example time!
Say an LP plans to place liquidity in the price range [15.625, 17.313], higher than the current price of X 10, when 100(x) * 1000(y) = 100000(k).
The price of X is 1250 / 80 = 15.625 when the equation is 80 * 1250 = 100000.
The price of X is 1315.789 / 76 = 17.313 when the equation is 76 * 1315.789 = 100000.
If now the price of X reaches 15.625, the only way for the price of X to go even higher is to further increase y and decrease x, which means exchanging a certain amount of X for Y.
Thus, to provide liquidity in the range [15.625, 17.313], an LP needs only to prepare 80 — 76 = 4 of X. If the price exceeds 17.313, all 4 X of the LP is swapped into 1315.789 — 1250 = 65.798 Y, and then the LP has nothing more to do with the pool, as his/her liquidity is drained.
What if the price stays in the range? It’s exactly what LPs would love to see, as they can earn swapping fees for all transactions in the range! Also, the balance of X will swing between [76, 80] and the balance of Y between [1250, 1315.789].
This might not be obvious, but the example above shows an interesting insight: if the liquidity of one token is provided, only when the token becomes more valuable will it be exchanged for the less valuable one.
…wut? 🤔
Remember that if 4 X is provided within [15.625, 17.313], only when the price of X goes up from 15.625 to 17.313 is 4 X gradually swapped into Y, the less valuable one!
What if the price of X drops back immediately after reaching 17.313? As X becomes less valuable, others are going to exchange Y for X.
The below image illustrates the scenario of DAI/USDC pair with a price range of [1.001, 1.002] well: the pool is always composed entirely of one token on both sides of the tick, while in the middle 1.001499⁶ is of both tokens.
Image source: https://uniswap.org/blog/uniswap-v3/
Similarly, to provide liquidity in a price range < current price, an LP has to prepare a certain amount of Y for others to exchange Y for X within the range.
To wrap up such an interesting feature, we know that:
Only one token is required for range orders.
Only when the current price is within the range of the range order can LP earn trading fees. This is the main reason why most people believe LPs of v3 have to monitor the price more actively to maximize their income, which also means that LPs of v3 have become arbitrageurs 🤯
I will be discussing more the impacts of v3 in 5. Impacts of v3.
⁷ 1.001499988 = √(1.0001 * 1.0002) is the geometric mean of 1.0001 and 1.0002. The implication is that the geometric mean of two prices is the average execution price within the range of the two prices.
Reversible limit orders
As the example in the last section demonstrates, if there is 4 X in range [15.625, 17.313], the 4 X will be completely converted into 65.798 Y when the price goes over 17.313.
We all know that a price can stay in a wide range such as [10, 11] for quite some time, while it’s unlikely so in a narrow range such as [15.625, 15.626].
Thus, if an LP provides liquidity in [15.625, 15.626], we can expect that once the price of X goes over 15.625 and immediately also 15.626, and does not drop back, all X are then forever converted into Y.
The concept of having a targeted price and the order will be executed after the price is crossed is exactly the concept of limit orders! The only difference is that if the range of a range order is not narrow enough, it’s highly possible that the conversion of tokens will be reverted once the price falls back to the range.
As price ranges follow the equation p(i) = 1.0001 ^ i, the range can be quite narrow and a range order can thus effectively serve as a limit order:
When i = 27490, 1.0001²⁷⁴⁹⁰ = 15.6248.⁸
When i = 27491, 1.0001²⁷⁴⁹¹ = 15.6264.⁸
A range of 0.0016 is not THAT narrow but can certainly satisfy most limit order use cases!
⁸ As mentioned previously in note #4, there is a square root in the equation of the price and index, thus the numbers here are for explantion only.
5. Impacts of v3
Higher capital efficiency, LPs become arbitrageurs… as v3 has made tons of radical changes, I’d like to summarize my personal takes of the impacts of v3:
Higher capital efficiency makes one of the most frequently considered indices in DeFi: TVL, total value locked, becomes less meaningful, as 1$ on Uniswap v3 might have the same effect as 100$ or even 2000$ on v2.
The ease of spot exchanging between spot exchanges used to be a huge advantage of spot markets over derivative markets. As LPs will take up the role of arbitrageurs and arbitraging is more likely to happen on v3 itself other than between DEXs, this gap is narrowed … to what extent? No idea though.
LP strategies and the aggregation of NFT of Uniswap v3 liquidity token are becoming the blue ocean for new DeFi startups: see Visor and Lixir. In fact, this might be the turning point for both DeFi and NFT: the two main reasons of blockchain going mainstream now come to the alignment of interest: solving the $$ problem 😏😏😏
In the right venue, which means a place where transaction fees are low enough, such as Optimism, we might see Algo trading firms coming in to share the market of designing LP strategies on Uniswap v3, as I believe Algo trading is way stronger than on-chain strategies or DAO voting to add liquidity that sort of thing.
After reading this article by Parsec.finance: The Dex to Rule Them All, I cannot help but wonder: maybe there is going to be centralized crypto exchanges adopting v3’s approach. The reason is that since orders of LPs in the same tick are executed pro-rata, the endless front-running speeding-competition issue in the Algo trading world, to some degree, is… solved? 🤔
Anyway, personal opinions can be biased and seriously wrong 🙈 I’m merely throwing out a sprat to catch a whale. Having a different voice? Leave your comment down below!
6. Conclusion
That was kinda tough, isn’t it? Glad you make it through here 🥂🥂🥂
There are actually many more details and also a huge section of Oracle yet to be covered. However, since this article is more about features and targeting normal DeFi users, I’ll leave those to the next one; hope there is one 😅
If you have any doubt or find any mistake, please feel free to reach out to me and I’d try to reply AFAP!
Stay tuned and in the meantime let’s wait and see how Uniswap v3 is again pioneering the innovation of DeFi 🌟
Uniswap v3 Features Explained in Depth was originally published in Taipei Ethereum Meetup on Medium, where people are continuing the conversation by highlighting and responding to this story.
👏 歡迎轉載分享鼓掌
please take note of the following 在 Ying Tze Facebook 的最佳貼文
Latest update 2:
I guess everyone had heard the sad news regarding of Cyberpunk2077 will be delayed till 10th December 2020 😭 but please cheer up and appreciate all the hard work done by game developer and provide us the best gaming experience.
Wait a minute..... AHA!
Now my pre-order will be extend until 💓💓 30th November 2020💓💓!!
Now you can start save up more to get to pre-order my exclusive T-shirt as due date is extended 20 more days! 🤩🤩
Purchase link: https://buy2077.co/yingtze
Note:
- Orders will only be shipped to addresses in Malaysia.
- All orders shipping out of Malaysia will be refunded.
- Subsequent orders after 9th December will take 2 business days to arrive.
- You still can purchase with the following link after the launch however exclusive T-shirt and pre-order goodies will not be available 🙇♀️🙇♀️
==================================
Update 1:
Please do note on the new shipping and ordering terms:
💓💓Place your before 10th November (cut off at 9Nov 23:59) will receive the my exclusive T-shirt on 19th November 2020💓💓
Note:
- Orders will only be shipped to addresses in Malaysia.
- All orders shipping out of Malaysia will be refunded.
- Subsequent orders after 17th November will take 2 business days to arrive.
- You still can purchase with the following link after the launch however exclusive T-shirt and pre-order goodies will not be available 🙇♀️🙇♀️
==================
I have a secret to tell you...😎
-----
Now you can pre-order Cyberpunk 2077 at link below to get exclusive Cyberpunk2077 T-shirt of mine and pre-order bonus before 18th November 2020
Pre-order with free exclusive T-shirt link : https://buy2077.co/yingtze
Remember to wear this awesome T-shirt of mine while you playing Cyberpunk! ❤️
Note:
Pre-order are valid for Malaysian only.
-----
🌟🌟Big thanks to Impulse Gaming Johor Bahru HQ to make this affiliate happen 🌟🌟
#blessed #cyberpunk2077
please take note of the following 在 Dan Lok Youtube 的最佳解答
Sell Me This Pen Is One Of The Most Common Sales Interview Tasks. In This Scenario, Dan Shows You Examples of How To Answer Your Interview Questions Creatively.
(Note: These tips are not encouraging you to be deceitful, but rather showing you how to think outside of the box.)
After Watching Our Free Training, This Task Will Be No Problem. Learn To Sell Anything To Anyone By Following A Proven Framework. Get Access Here: https://3bestanswersforinterview.danlok.link
Your interview is going great, but then the interviewer asks you, “sell me this pen.” What do you do? How do you react? Learn the 3 best answers to your sales interview. Plus, find out why the interviewer keeps asking this question.
▬▬▬▬▬▬▬▬▬▬ Video Highlights ▬▬▬▬▬▬▬▬▬▬
0:00 - Intro
0:55 - The Framework
1:25 - 3 Things The Interviewer Is Looking For
3:05 - How To Sell The Pen (Answers)
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
? SUBSCRIBE TO DAN'S YOUTUBE CHANNEL NOW ?
https://www.youtube.com/danlok?sub_confirmation=1
? Join my YouTube Membership to get access to EXCLUSIVE perks ?
https://www.youtube.com/channel/UCs_6DXZROU29pLvgQdCx4Ww/join
Check out these Top Trending Playlists -
1.) Boss In The Bentley - https://www.youtube.com/playlist?list=PLEmTTOfet46OWsrbWGPnPW8mvDtjge_6-
2.) Sales Tips That Get People To Buy - https://www.youtube.com/watch?v=E6Csz_hvXzw&list=PLEmTTOfet46PvAsPpWByNgUWZ5dLJd_I4
3.) Dan Lok’s Best Secrets - https://www.youtube.com/watch?v=FZNmFJUuTRs&list=PLEmTTOfet46N3NIYsBQ9wku8UBNhtT9QQ
Dan Lok has been viewed more than 1.7+ billion times across social media for his expertise on how to achieve financial confidence. And is the author of over a dozen international bestselling books.
Dan has also been featured on FOX Business News, MSNBC, CBC, FORBES, Inc, Entrepreneur, and Business Insider.
In addition to his social media presence, Dan Lok is the founder of the Dan Lok Organization, which includes more than two dozen companies - and is a venture capitalist currently evaluating acquisitions in markets such as education, new media, and software.
Some of his companies include Closers.com, Copywriters.com, High Ticket Closers, High Income Copywriters and a dozen of other brands.
And as chairman of DRAGON 100, the world’s most exclusive advisory board, Dan Lok also seeks to provide capital to minority founders and budding entrepreneurs.
Dan Lok trains as hard in the Dojo as he negotiates in the boardroom. And thus has earned himself the name; The Asian Dragon.
If you want the no b.s. way to master your financial destiny, then learn from Dan. Subscribe to his channel now.
★☆★ CONNECT WITH DAN ON SOCIAL MEDIA ★☆★
YouTube: http://youtube.danlok.link
Dan Lok Blog: http://blog.danlok.link
Dan Lok Shop: https://shop.danlok.link
Facebook: http://facebook.danlok.link
Instagram: http://instagram.danlok.link
Linkedin: http://mylinkedin.danlok.link
Podcast: http://thedanlokshow.danlok.link
#DanLok #SellMeThisPen #SalesTraining
Please understand that by watching Dan’s videos or enrolling in his programs does not mean you’ll get results close to what he’s been able to do (or do anything for that matter).
He’s been in business for over 20 years and his results are not typical.
Most people who watch his videos or enroll in his programs get the “how-to” but never take action with the information. Dan is only sharing what has worked for him and his students.
Your results are dependent on many factors… including but not limited to your ability to work hard, commit yourself, and do whatever it takes.
Entering any business is going to involve a level of risk as well as massive commitment and action. If you're not willing to accept that, please DO NOT WATCH DAN’S VIDEOS OR SIGN UP FOR ONE OF HIS PROGRAMS.
This video is about Sell Me This Pen - 3 Best Answers For Your Sales Interview.
https://youtu.be/4V2rGGSfcfk
https://youtu.be/4V2rGGSfcfk
please take note of the following 在 Chloe Ting Youtube 的最佳解答
Time for a 15 minute booty / glutes isolation workout. You can do this with or without resistance bands, and don't be afraid as this won't bulk up your legs. Remember to engage your glutes and focus on that mind muscle connection. Enjoy the workout program and please do drop a like and a comment! ?
Full program schedule at https://www.chloeting.com/program
Episode 1 - https://youtu.be/cIuiQyfKBTg
Episode 2 - https://youtu.be/LjmZ1YMOwws
Episode 3 - https://youtu.be/ywJgsm5mkkQ
Episode 4 - This Video
☆Help subtitle this video☆
http://www.youtube.com/timedtext_video?ref=share&v=AQ-zcv_viAo
☆Sponsor this channel☆
https://www.youtube.com/chloeting/join
☆Sub to my 2nd channel☆
https://www.youtube.com/channel/UCBrcDabYtwbR1VIhwH5efZA?sub_confirmation=1
☆My links☆
https://www.instagram.com/chloe_t/
https://www.instagram.com/itschloeting/
twitch.tv/chloeting
Discord Server https://discord.gg/f7NY5VK
☆Music by☆
Track: Ascence - Without You [NCS Release]
Music provided by NoCopyrightSounds.
Watch: https://youtu.be/aRWKi18SuHk
Free Download / Stream: http://ncs.io/WithoutYouA
Track: NOIXES & Miles Monaco - Backwards
Music Provided by Magic Records
Listen To The Original: https://youtu.be/U9cD4-ZgRy4
Free Download: https://fanlink.to/b7YQ
NEFFEX - New Beginnings
NEFFEX - Grateful
NEFFEX - Alive
NEFFEX - Best Of Me
Spotify: https://smarturl.it/neffex_spotify
SoundCloud: https://smarturl.it/neffex_soundcloud
Facebook: https://smarturl.it/neffex_fb
Instagram: https://smarturl.it/neffex_instagram
Twitter: https://smarturl.it/neffex_twitter
YouTube: https://smarturl.it/neffex_youtube
#withme #stayhome #chloeting
IMPORTANT DISCLAIMER: Please note that all of my videos are titled according to SEO best practices for content discoverability. Unfortunately this may mean that video titles are subjective and shouldn't be seen as absolute truth. As an example, targeting fat reduction is not scientifically proven but a video title might suggest otherwise. When following any of my videos, please take precaution to exercise in a safe environment, and I highly suggest seeing a health and fitness professional to give you advice on your exercise form and dietary needs. Every person is unique and there is no one size fits all solution to health or fitness. I am not a medical professional and your health and safety is the utmost importance.
please take note of the following 在 Chloe Ting Youtube 的最讚貼文
We're not just working the booty in this hourglass program, we've gotta work on those abs abs abs of yours! Enjoy the workout program and please do drop a like and a comment! ?
Full program schedule at https://www.chloeting.com/program
Episode 1 - https://youtu.be/cIuiQyfKBTg
Episode 2 - https://youtu.be/LjmZ1YMOwws
Episode 3 - https://youtu.be/ywJgsm5mkkQ
Episode 4 - https://youtu.be/AQ-zcv_viAo
☆Help subtitle this video☆
http://www.youtube.com/timedtext_video?ref=share&v=ywJgsm5mkkQ
☆Sponsor this channel☆
https://www.youtube.com/chloeting/join
☆Sub to my 2nd channel☆
https://www.youtube.com/channel/UCBrcDabYtwbR1VIhwH5efZA?sub_confirmation=1
☆My links☆
https://www.instagram.com/chloe_t/
https://www.instagram.com/itschloeting/
twitch.tv/chloeting
Discord Server https://discord.gg/f7NY5VK
☆Music by☆
Track: Ascence - Without You [NCS Release]
Music provided by NoCopyrightSounds.
Watch: https://youtu.be/aRWKi18SuHk
Free Download / Stream: http://ncs.io/WithoutYouA
Dylan Locke - Lasagna
Track: NOIXES & Miles Monaco - Backwards
Music Provided by Magic Records
Listen To The Original: https://youtu.be/U9cD4-ZgRy4
Free Download: https://fanlink.to/b7YQ
#workouts #fitness #chloeting
IMPORTANT DISCLAIMER: Please note that all of my videos are titled according to SEO best practices for content discoverability. Unfortunately this may mean that video titles are subjective and shouldn't be seen as absolute truth. As an example, targeting fat reduction is not scientifically proven but a video title might suggest otherwise. When following any of my videos, please take precaution to exercise in a safe environment, and I highly suggest seeing a health and fitness professional to give you advice on your exercise form and dietary needs. Every person is unique and there is no one size fits all solution to health or fitness. I am not a medical professional and your health and safety is the utmost importance.
please take note of the following 在 Please take note of the following announcement Thank you ... 的推薦與評價
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please take note of the following 在 Ministry of Health & Wellness, Jamaica | Facebook 的推薦與評價
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