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三星是否已經決定將Galaxy Note系列淘汰 ??
https://pc3mag.com/galaxy-note-brand-no-update/
#PC3 #pc3mag #pc3magzine
#samsung #galaxynote #android #ultra #fold3
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設定小編哋PC3專頁「搶先看」！優先取得科技生活著數玩樂情報
設定教學：https://bit.ly/335Fwwp
【Samsung資訊】聽講Samsung為咗讓路俾摺mon手機，Galaxy Note系列將會被淘汰，而且由Galaxy S系列嘅FE版取代，唔知大家又點睇？
https://pc3mag.com/galaxy-s21-fe-position/
#三星 #samsung #GalaxyNote #手機 #GalaxyS系列 #GalaxyZ系列
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設定小編我哋PC3專頁「搶先看」！優先取得科技生活著數玩樂情報
設定教學：https://bit.ly/335Fwwp
📜 [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
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後置鏡頭：1,200 萬畫素超廣角鏡頭 f/2.2、1 億零 800 萬畫素廣角鏡頭 f/1.8、1,200 萬畫素遠距鏡頭 f/3.0
前置鏡頭：1,000 萬畫素 f/2.2
相機特色功能：最高 50 倍變焦、8K 錄影、雷射自動對焦、OIS 光學防手震、追蹤自動對焦
影音支援：Dolby Atoms、AKG 調校立體聲喇叭、MQA 高音質編碼、無 3.5mm 耳機孔、High AOP 麥克風
防水係數：IP68
5G：YES（頻段：NSA / SA / Sub-6 / mmWave）
WiFi：Wi-Fi 6 802.11ax
NFC：YES
Samsung Pay：YES
藍牙：Bluetooth® 5.0
SIM 卡：5G + 4G nano-SIM
記憶卡擴充：MicroSD（最高支援 1TB）
生物辨識：光學螢幕指紋 / 臉部辨識
重量：208g
尺寸：164.8 x 77.2 x 8.1mm
顏色：星霧金、星幻黑、星幻白
台灣建議售價：NT$43,900（256GB） / NT$46,900（512GB）
::: Galaxy Note20 5G :::
作業系統：Android 10（基於 One UI 2.5）
處理器：高通驍龍 Qualcomm Snapdragon 865+ 八核心
記憶體與儲存空間（LPDDR5）：8GB + 256GB
螢幕類型：6.7 吋 20 : 9 Super AMOLED+
螢幕技術：Infinity-O 平面螢幕
螢幕占比：93%
螢幕更新率：60Hz
螢幕解析度：2400 x 1080 px, 393 ppi（FHD+）
HDR：HDR10+
電池容量：4,300mAh
快充：25W 閃電快充 2.0、15W 無線閃充 2.0、無線電力分享（支援 PD 3.0 、QC2.0）
充電孔：USB3.1 Type-C
後置鏡頭：1,200 萬畫素超廣角鏡頭 f/2.2、1,200 萬畫素廣角鏡頭 f/1.8、6,400 萬畫素遠距鏡頭 f/2.0
前置鏡頭：1,000 萬畫素 f/2.2
相機特色功能：3 倍混合光學變焦、8K 錄影、最高 30 倍變焦、OIS 光學防手震、追蹤自動對焦
影音支援：Dolby Atoms、AKG 調校立體聲喇叭、無 3.5mm 耳機孔、High AOP 麥克風
防水係數：IP68
5G：YES（頻段：NSA / SA / Sub-6 / mmWave）
WiFi：Wi-Fi 6 802.11ax
NFC：YES
Samsung Pay：YES
藍牙：Bluetooth® 5.0
SIM 卡：5G + 4G nano-SIM
記憶卡擴充：No
生物辨識：光學螢幕指紋 / 臉部辨識
重量：194g
尺寸：161.6 x 75.2 x 8.3mm
顏色：星霧灰、星霧綠、星霧金
台灣建議售價：NT$35,900
--------------------------------------
#三星 #Samsung #Note20Ultra5G #旗艦手機
#高通S865Plus #5G手機
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📖 Instagram：https://www.instagram.com/3c_dog/
📖 官方網站：https://3cdogs.com/
📖 回血賣場：https://shopee.tw/3cdog
▋ 有任何問題都來這邊找我們：3cdogs@gmail.com
立即加入邦尼頻道會員計畫：https://www.youtube.com/c/isbonny/join
(#你的恐龍會隨著你的會員等級一起成長哦！)
－－－－－－ Tab S6 最新優惠：https://s.iwaishin.com/2mPIUtQ
#GalaxyTabS6 #SamsungGalaxyTabS6 #TabS6 效能實測、續航力測試、螢幕下指紋辨識速度 完整開箱評測實測、評價、推薦、值不值得買。透過無筆電挑戰，讓平板挑戰取代筆電的超完整測試對比，除了告訴你 Samsung Galaxy Tab S6 值不值得買外，更讓你能夠一窺 Galaxy Tab S6 所搭載的 Tab S6 手勢操控 2.0 及使用技巧教學。光學螢幕下指紋辨識速度實測、Tab S6 採用雙鏡頭相機 1300萬畫素主鏡頭、 500 萬畫素 123 度超廣角鏡頭。邦尼將實測包括 Samsung DeX 、POGO充電立座、生活布告欄、 書本式鍵盤皮套、Premiere Rush 、 Samsung Flow 、 AR 手繪錄影、相機錄影、智慧場景辨識、123 度超廣角相機、日拍、夜拍、錄影實測， Galaxy Tab S6 搭載 10.5 吋 16:10 2K Super AMOLED 顯示器，也是首款通過 HDR10+ 認證的平板螢幕，音效上搭載四顆 AKG 調校四喇叭 並 支援 Dolby Atmos 杜比全景聲。效能上，搭載 Qualcomm SnapDragon 855 + LPDDR4x 6GB Ram+ 128GB ROM ；續航搭載 7040 mAh 支援閃電快充 ，邦尼將實際進行快充效能等超完整實機實際測評。
#邦尼評測正式支援4K高畫質串流囉！！！
立即加入邦尼社團挖好康：https://fb.com/groups/isbonny
- 邦尼找重點：
開箱 外觀設計 Unbox & Industrial Design：
1:26 光學螢幕下指紋
2:48 開箱 S Pen 2.0
3:28 S Pen智慧選取
3:54 S Pen 快速去背
4:12 S Pen 懸浮翻譯
4:26 書本式鍵盤皮套
4:30 Samsung DeX
5:49 Samsung Flow
相機實測 Camera Review：
8:35 AR 手繪錄影
性能電力測試 Performance & Battery：
7:44 影音剪輯 Premiere Rush
影音娛樂 Display & Speakers：
6:23 螢幕規格 10.5 吋 16:10 2K Super AMOLED HDR10+
6:29 音效 AKG 調校四喇叭Dolby Atmos 杜比全景聲
9:48 總結
9:56 硬體性能 SnapDragon 855
安兔兔、Benchmark4、3DMark、PCMark 完整數據：https://www.isbonny.com
#邦尼評測：超深入 3C 科技使用體驗
#邦尼LOOK：3C 科技產品開箱快速動手玩
#邦尼LIFE：屬於邦尼幫你團隊的私密生活玩樂
#邦尼TALK：有內容的聊聊科技資訊吧！
你訂閱了這麼多頻道，就是少了一個幫你評測幫你了解科技生活的科技頻道，立即訂閱「邦尼幫你」吧！
訂閱邦尼幫你：https://lnk.pics/isbonnyYT
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邦尼Line官方帳號：@isbonny（http://line.me/ti/p/%40isbonny ）
邦尼信箱：service@iwaishin.com
邦尼評測（產品合作）：me@iwaishin.com
快來找我們玩！！！！
本期卡濕：
露點的：Samsung Galaxy Note 10+ 星環銀 , 威信、驢子
主謀（製作人）：邦尼
內容創作：威信
色影師：又民
剪接 / 後期：又民
麥聲人：歐登
內容夥伴：IWAISHIN 愛威信 3C 科技生活
特別感謝：Samsung Taiwan & 每一個看影片的「你」
邦尼老實說：本影片係由 Samsung Taiwan 有償委託測試，並由邦尼幫你秉持第三方評測的客觀事實，衷心製作消費者體驗報告。
我們是邦尼幫你：
以「邦尼幫你」為出發點，秉持著「科技很簡單，新奇可以好好玩」的初衷，以更多實境使用場景及戲劇內容豐富以往艱澀難懂的科技資訊，回歸消費者角度思考產品價值，並以「幫你玩、幫你測、幫你試」等實測內容給予產品評價，此外更期許能夠成為「更貼近消費者觀點」的內容創作者及具有媒體影響力的科技內容創造團隊。
