I’m tired. I’ve been cooped up at home of almost 2 months (no different than anyone else). There’s blame going on between the people and the government. On one side, their oversight in trying to save the economy by letting big business run has caused an uptick in cases that we are unable to surpress. On the other side, we have people who still don’t understand the meaning of staying at home unless it’s necessary. So we keep spreading the virus unnecessarily.
I’m exhausted from reading headlines about the lack of accountability. People are dying in police custody, a teacher jokingly makes a remark about rape, our shortage of doctors are not being looked after, our media contributing to athlete pressure, innocent people fighting for the underprivileged are being charged in court…this list goes on.
I think it goes without saying that this pandemic has exposed systems that were already failing in this country but leadership is about taking accountability for it and wanting to do better. Acknowledgement at its basic form is necessary to create trust. Tell us you’re going to look into it, don’t gaslight us in thinking that we’re crazy because we deserve better!
Parliament is a circus because there are months worth of issues that everyone is trying to get out in the minutes they have on the floor.
People are angry, they’re annoyed, I’m annoyed. The only numbers that I look forward to every morning is our vaccination progress. It gives me some semblance of hope to be able to see my family in Canada or for businesses to open who have severely suffered during this lockdown.
I’m still optimistic and hoping that at some point we will all get on the same page and move forward because Malaysia is a fucking gem. For now, I’ll be cheering for our heroes in Tokyo Olympics, win or lose, nothing is more inspirational than watching someone dedicate themselves to be the best carrying our flag.
同時也有12部Youtube影片,追蹤數超過1萬的網紅GDJYB雞蛋蒸肉餅,也在其Youtube影片中提到,405 Method Not Allowed | #GDJYB 雞蛋蒸肉餅 Common faces she wears a common make-up Common lives live in a common way Common hobbies and common people We a...
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on the same page meaning 在 Taipei Ethereum Meetup Facebook 的最佳貼文
📜 [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
on the same page meaning 在 Pakar diari hati Facebook 的精選貼文
Ustaz Datuk Kazim Elias ada share 4 punca kenapa satu-satu perkahwinan tu tak bahagia.
Sebab duit ke? Sebab rupa? Atau sebab agama semata?
1. Punca pertama ialah sebab semua benda isteri buat. Basuh baju isteri, kemas isteri, masak isteri. Sedangkan isteri ni cuma dituntut untuk layan suami je. Jadi, tak perlu ke isteri buat semua tu? Isteri solehah dia TOLONG buat kerja. Bantu sama membantu. Masing-masing kena faham erti tanggungjawab.
...Continue ReadingUstaz Datuk Kazim Elias has shared 4 reasons why the other marriage is unhappy.
Is it because of money? Because of the look? Or just because of religion?
1. The first reason is because everything wives do. Wash the wife's clothes, clean the wife, cook the wife. While this wife is only claimed to treat her husband. So, don't the wife have to do all that? His solehah wife HELPS to do work. Help and help. Everyone needs to understand the meaning of responsibility.
Ustaz said, the more husband feels easy to relax and do nothing, the easier he forgets his responsibility. It's not coming back, you're going to say to your husband ′′ You, starting today I don't want to wash all the clothes."
No no no.
Difficult things will be easy to do together. Don't be easy together. When it's hard to pass to the partner. No no ♀️🙅🏻 🙅🏻 ♀️🙅🏻 ♀️
2. Second reasons is because we don't understand the ATTITUDE of our respective partners.
It's easy to take care of this man as Ustaz Kazim says.
1-Feed full-full food. Zahir dan Batin. May everything be considered worship. Aamiin ya Rabb.
2-Where did the husband go, follow! Hahaha 😂
As long as you can follow, follow
3. The third reason is because we don't accept that is our partner. Many people only appreciate someone after someone dies. So it's not good to wait for your husband to die and then you'll say, ′′ nothing is the same as my husband / wife before." 😢
We won't know our partner as long as we don't share our house, together, a pillow with him. Even his parents won't know him as long as we know him. That's why the wife knows her husband than her mother knows her.
But a wise man, a religious man, a religious woman will always consider that the partner is a GIFT.
There's a couple, be grateful. Because there are still many who are still Allah who doesn't answer their prayers for couples. So be grateful.
Not happy nowadays, want to get a partner who prays, who reads, who doesn't know what all. So if we get a couple hat like that, learn to appreciate it even though she is not beautiful to boroi.
Hat boroi, tak lawa, not comey to anything, there is Allah nak test us, which one of us is the most FEARFUL. Choosing the religious, overcoming everything.
4. The last one, the reason is when someone doesn't become fun with each other. Ye, learn to be a fun person each other's partner.
If our partner likes it so much, so we need to give so much or more. The most important thing is to work, the others let Allah decide. God willing.
The Ustaz has shared again, this disaster has come in 3 forms:
• TEST
• REGRET
• BULLET
If we feel that in marriage is always a disaster, let's see these three. Which one is actually what Allah wants to show.
The test is for the believers. He gave an example, Asiah who is pious to marry an evil Pharaoh. That's a test for him.
The one that Allah tests someone is pious, the prayer is not left, the reading is not missed, the fasting is full but years of not having a child. That's his name test. And this test is nothing else to lift our position of taqwa and faith higher. Be patient and be happy with Allah's test.
The second one, the disaster that comes in the form of reprimand. This is what Allah sends because Allah wants to ask us to return to goodness.
Example, we are not carelessly chasing money here, rich here, Allah gives accident. Can't find the cause of sustenance. That's a reprimand. Maybe we pray without humility. We do worship but it's a lot of crafty. So, Allah wants to flick a little to give advice. Want to give us back to Him. So, don't talk about Allah. Allah does not do anything in vain.
The last one is this disaster, come in the form of bullet or punishment.
In marriage, if we want peace, we have to learn to accept it. Accept what Allah gives. Acceptance is our partner. Acceptance for all Allah's tests.
If one second Allah will test the provision of a long soulmate, there is no fortune to be together.
′′ If you still can, hold it well, if you can't afford it, let it go well."
Always learn to steal husband / wife's heart. Learn to take all the rewards that Allah wants to give in marriage. Learn to be a greedy person ❤️
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.
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on the same page meaning 在 GDJYB雞蛋蒸肉餅 Youtube 的最讚貼文
405 Method Not Allowed | #GDJYB 雞蛋蒸肉餅
Common faces she wears a common make-up
Common lives live in a common way
Common hobbies and common people
We are all printed on a digital page
Duplicated lives Duplicated loves
Who duplicated the ones who duplicated us
Reading the same code watching the same scene
Who shout out loud and breaks the sky in dreams
Someone is chasing behind me
Like a shadow like a copy
Something wrong about this city
Like a nightmare like a cage
Some sell their souls
Some trade for their lives
Staggering under the light
Who will take the flight
Some chase for meaning
Some run from lies
Some can’t even find a reason why
Till the day they die
Someone is chasing behind me
Like a shadow like a copy
Something wrong about this city
Like a nightmare like a cage
Someone is watching over me
Like a spider like a crow
Something evil is happening here
Like a black hole like a curse
Someone please show me where I should go
Just don’t go left and don’t go right
I can’t find the way to leave
Like a nightmare like a cage
I can’t find the way to leave
Like a nightmare like a cage
Like a cage
Music Composed & Arranged by | GDJYB
Lyrics Written by | Soft@GDJYB
All Guitars & Synthesizers by | Soni@GDJYB
Bass by | Wing@GDJYB
Drums by | Heihei@GDJYB
All Vocals by Soft@GDJYB
Recording & Mixing Engineer | Jay Tse
Mastering Engineer | Anthony Yeung@AYM Studio
Illustration by | Soft@GDJYB
Animated by | Wing@GDJYB, Jas
_____________________________________
Music also on:
Spotify: https://spoti.fi/33LrlyE
KKbox: https://kkbox.fm/zSdB5R
iTunes/Apple Music: https://apple.co/2PCIHFl
friDay音樂 (TW):https://bit.ly/2XN9Utv
JOOX: https://bit.ly/3kwVHdR
on the same page meaning 在 Yuna Jiang Youtube 的最讚貼文
演唱 : Keira Knightley
專輯 : 電影原聲帶
歌詞 :
Please don't see
just a girl caught up in dreams and fantasies
請不要以為我只是個沉浸在甜美幻想的女孩
Please see me
reaching out for someone I can't see
我其實在接觸著未知的世界
Take my hand let's see where we wake up tomorrow
牽著我的手吧 看看我們明天在哪兒醒來
Best laid plans sometimes are just a one night stand
一夜的激情更勝百次的思慮
I'll be damned Cupid's demanding back his arrow
我該責怪丘比特收起他的箭
So let's get drunk on our tears and
讓我們藉著眼淚而醉去吧
God, tell us the reason
上帝呀,告訴我們原因吧
youth is wasted on the young
青春都在年少輕狂時被揮霍了
It's hunting season and the lambs are on the run
打獵的季節悄臨,羔羊們紛紛逃亡
Searching for meaning
我們找尋著生存的意義
But are we all lost stars
只是是否我們都是迷路的星星
trying to light up the dark?
卻依舊試著照亮夜空?
Who are we?
Just a speck of dust within the galaxy?
我們存在嗎?不過是浩瀚銀河中的一點星塵
Woe is me, if we're not careful turns into reality
悲傷成了我的代名詞 一不小心在現實中清醒
Don't you dare let our best memories bring you sorrow
別讓我們最甜美的記憶 召喚來憂傷
Yesterday I saw a lion kiss a deer
昨日我看見一頭獅子親吻了鹿
Turn the page maybe we'll find a brand new ending
翻過這頁或許是一個全新的結局
Where we're dancing in our tears and
何處可隨著眼淚跳舞
God, tell us the reason
上帝呀,告訴我們原因吧
youth is wasted on the young
青春都在年少輕狂時被揮霍了
It's hunting season and the lambs are on the run
打獵的季節悄臨,羔羊們紛紛逃亡
Searching for meaning
我們找尋著生存的意義
But are we all lost stars
只是是否我們都是迷路的星星
trying to light up the dark?
卻依舊試著照亮夜空?
I thought I saw you out there crying
好像看見你在那邊哭泣
I thought I heard you call my name
好像聽見你呼喚著我
I thought I heard you out there crying
好像聽見你在那兒哭泣
Just the same
只是這些都沒發生吧。
and God, give us the reason
上帝呀,告訴我們原因吧
youth is wasted on the young
青春都在年少輕狂時被揮霍了
It's hunting season and the lambs are on the run
打獵的季節悄臨,羔羊們紛紛逃亡
Searching for meaning
我們找尋著生存的意義
But are we all lost stars
只是是否我們都是迷路的星星
trying to light up the dark?
卻依舊試著照亮夜空?
Are we all lost stars
只是是否我們都是迷路的星星
trying to light up the dark?
卻依舊試著照亮夜空?
on the same page meaning 在 雷御廷Martyn Lei Youtube 的最佳貼文
☞快來訂閱小雷,給你最好的音樂:https://goo.gl/88vfbn
☞合作邀約:martynleimusic@gmail.com
☞粉絲專業:https://www.facebook.com/music.martynlei/
☞小雷合作頻道:https://goo.gl/jRqFCm
☞Agi脫北者:https://www.facebook.com/tairpochia/
Lost Stars cover 終於來啦!! 曼哈頓戀習曲最紅的一首歌,相信很多人都看了不止一次T.T 這次邀請到當兵時候認識的小雞來幫我打木箱鼓
喜歡或有任何建議歡迎按讚並在下面留言喔 :DDD
Lost Stars 歌詞出處:http://ladyserenevitale.blogspot.tw/2014/08/adam-levine-keira-knightley-lost-stars.html
Please don't see
請不要把我當成
just a boy caught up in dreams and fantasies
只不是一個沉浸在甜美幻想的男孩
Please see me
請把我看成是
reaching out for someone I can't see
伸出雙手想去擁抱,苦苦等著那些不存在的人
Take my hand let's see where we wake up tomorrow
牽著我的手吧,看看我們明早會在哪醒來
Best laid plans sometimes are just a one night stand
為什麼一夜情反而常常成為了眼下最好的選擇呢
I'd be damned Cupid's demanding back his arrow
該責怪丘比特把愛情都給破壞殆盡了嗎
So let's get drunk on our tears and
或著不如讓我們在淚水中醉生夢死吧。
God, tell us the reason
上帝呀,告訴我們原因吧
youth is wasted on the young
青春都在年少輕狂時被揮霍了
It's hunting season and the lambs are on the run
這是個現實的世界,迷途的羔羊都在逃亡吧
Searching for meaning
我們找尋著生存的意義
But are we all lost stars
只是是否我們都是失落的星星
trying to light up the dark?
卻依舊試著照亮夜空?
Who are we?
我們到底是誰呢?
Just a speck of dust within the galaxy?
只是浩大銀河中的一粒塵埃
Woe is me, if we're not careful turns into reality
如果不小心就向現實妥協了,我是不是很悲哀呢?
Don't you dare let our best memories bring you sorrow
千萬別讓那些曾經美好的回憶帶給你傷痛
Yesterday I saw a lion kiss a deer
昨天我看見一頭獅子輕吻一隻鹿
Turn the page maybe we'll find a brand new ending
翻過這頁也許我們會有個嶄新的結局
Where we're dancing in our tears and
在哪兒我們將會含著淚翩翩起舞吧。
God, tell us the reason
上帝呀,告訴我們原因吧
youth is wasted on the young
青春都在年少輕狂時被揮霍了
It's hunting season and the lambs are on the run
這是個現實的世界,迷途的羔羊都在逃亡吧
Searching for meaning
我們找尋著生存的意義
But are we all lost stars
只是是否我們都是失落的星星
trying to light up the dark?
卻依舊試著照亮夜空?
I thought I saw you out there crying
我以為我看到你在那兒哭泣
I thought I heard you call my name
我以為我聽到的是你在呼喊我的名字
I thought I heard you out there crying
我以為我看到你在那兒哭泣
Just the same
只是這些都沒發生吧。
God, give us the reason
上帝呀,告訴我們原因吧
youth is wasted on the young
青春都在年少輕狂時被揮霍了
It's hunting season and the lambs are on the run
這是個現實的世界,迷途的羔羊都在逃亡吧
Searching for meaning
我們找尋著生存的意義
But are we all lost stars
只是是否我們都是失落的星星
trying to light up the dark?
卻依舊試著照亮夜空?
I thought I saw you out there crying
我以為我看到你在那兒哭泣
I thought I heard you call my name
我以為我聽到的是你在呼喊我的名字
I thought I heard you out there crying
我以為我看到你在那兒哭泣
But are we all lost stars
只是是否我們都是失落的星星
trying to light up the dark?
卻依舊試著照亮夜空?
But are we all lost stars
只是是否我們都是失落的星星
trying to light up the dark?
卻依舊試著照亮夜空?
on the same page meaning 在 Meaning of "on the same page" - English StackExchange 的推薦與評價
The phrase doesn't always require absolute agreement. In the usage sentence given, Louisa is calling the meeting to make sure that everyone is caught up with ... ... <看更多>
on the same page meaning 在 在英語裡我們常說一句俚語. on the same page.... 的推薦與評價
在英語裡我們常說一句俚語. on the same page. 意思是你和別人或者別人和你動作, 思维是一致的. Before telling teacher why we were late this ... ... <看更多>