Search
I got a message for you all 💬❕
(There’s no words to express n explain, please get the message with your consciousness)
🙏🏻🤍
#message #nowords #expression #noexplanation #energy #vibration #mind #heart #soul #conscious #consciousness #eyes #ears #nose #mouth #skin #senses #illusion #stimulation #simulation #start #end #game #journey #life #exploration #creation #manifestation #searching #meaning
【國立臺灣大學109學年度畢業典禮 致詞代表 心理學系林世峰】
Student Address, National Taiwan University Commencement 2021
Shih-Feng Lin from the Department of Psychology
.
校長、各位貴賓、師長，親愛的家長、同學、畢業生，還有所有螢幕前的觀眾朋友，大家好！我是臺大畢業生代表，心理學系四年級的林世峰。
四年來，真的很難忘，我們同學一起在新生書院互加好友，在醉月湖找校鵝，還到舟山路上觀察大笨鳥的慢動作，又騎腳踏車到溫州街裝文青，到118巷當吃貨。多希望一切歲月靜好，但新冠肺炎疫情揮之不去，年輕生命殞落的悲劇突然到來，讓我們成為最迷惘的一屆，也是最獨特的一屆。
學校的活動臨時停辦，線上課程堆積如山，畢業舞會、椰林辦桌又被忍痛取消，最後甚至連實體畢業典禮和謝師宴也成為永遠的遺憾。我有朋友被迫放棄出國交換的機會，而我夢寐以求的芬蘭教育見習也無法成行。計畫被打亂、不安變常態，我們卻又將面臨更多挑戰。
一天，我在溫州街二手書店翻到詹姆斯．卡斯的一句話，震撼了我。這位哲學家將人類活動分為兩種遊戲，他說：「有限遊戲以取勝為目的，無限遊戲以延續遊戲為目的。」當下我驚覺，或許求學路上感到煎熬，就是因為我們被困在有限的遊戲中。有限的學習是一場短跑，只是一種手段，是為了勝過別人來證明自己，而拼命地刷新履歷、獲得標籤。
我回想起大三的一晚，我陪高三的學弟妹們為大考奮戰，原本想說幫忙解題而已，但最後他們卻對我說 :「學長，我讀書感覺好空、好累、好悶……」、「學長，我學這些到底為了什麼……」
是啊！為了考試而讀書、為了標籤而學習，不問意義與價值，讓我們陷入空虛、疲憊與痛苦。於是，我和一群來自超過二十個不同科系的夥伴創立了「臺大青鳥教育社」，有來自超過五所大學甚至香港、加拿大的大學生，一起走進的社區、偏鄉引導國高中生探索學習意義和自我價值，我們一起描繪活用所學、開展生涯的美好未來。
驀然回首，當初那麼想到芬蘭，不就是為了回台灣實現讓學習更有意義的理想嗎？疫情是一位無形的嚴師，教導我們在變動中珍惜彼此，在家園築夢踏實，更讓我們重新發現，學習是一場無限的壯遊，本身就是一種目的，是為了提升自己來造福他人，而自在地探索未知、創造價值。
經過師生共同努力，今天的臺大更重視心輔資源，「防疫一號」、「線上杜鵑花節」、「未來大學」，都讓我們這最迷惘的一屆，不僅成為了最獨特的一屆，更將蛻變為最堅韌、最覺醒的一屆。無論如何我們堅信，來到生命的必有意義，即使畢業了、即使停課了，臺大人都將繼續沉思、繼續學習，在人生的無限遊戲，繼續締造壯舉，讓傅鐘在心裡迴響起，永不止息！
一路上感謝師長、同學，感謝親友、爸爸媽媽及阿公阿嬤。感謝臺大砥礪我們脫胎換骨。期許自己並祝福各位同學，艱難時刻盡己所能，抱持無限思維活學活用，超越自我、同理他人，我們一起創造共好的故事、貢獻宇宙的精神！我是林世峰，畢業後我們一起勇敢！謝謝大家！
.
==============================
.
President Kuan, distinguished guests, professors, parents, graduates, and friends on the screen, Hi! I am the valedictorian on behalf of graduates. I am Lin, Shih-Feng from the Department of Psychology.
The past transient four years brought me lasting remembrance. We made friends with classmates at Orientation Camp, searched for geese at Drunken Moon Lake, watched languid birds, Malayan Night Heron, on Zhoushan Road, biked to Wenzhou Street like a hipster and took a bite at the Lane 118. Although I dream that serene days live on, Covid-19 pandemic and the tragic loss of young lives suddenly happened. Hence, we have become the most puzzled and unique graduating class of 2021.
The events on campus were abruptly suspended. Online courses were augmented. The graduation prom and the feast at Palm Boulevard were cancelled. Even the onsite graduation ceremony and the banquet for thanking professors have become impossible but eternal regrets. One of my friends was forced to relinquish the opportunity to exchange abroad. And I could not fulfill my internship program of which I dream in Finland. Facing the disruption of planning and uncertainty as normalcy, we meet myriad challenges.
One day, I read a sentence written by James Carse in a second-hand bookstore on Wenzhou Street. To my astonishment, the philosopher categorizes human activities as two kinds of games. He said that "a finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” All of a sudden, I realized that my struggling study arises from the trap of finite game. The limited learning like a sprint aims to prove superiority as means that we spare no effort to renew resume and acquire labels.
Reflecting back on one evening in my junior year, I accompanied third graders of high school who strived to prepare university entrance exam. I thought I could help answer their questions but eventually they said to me that “I felt aimless, exhausted, and suffocated…＂“What is the purpose for learning indeed…?”
Right. Studying for exams and labels without inquiring into meaning and value could ensnare us within emptiness, exhaustion and pains. Therefore, I found NTU Avizure Education Club in partnership with peers from more than 20 departments. Students from over five universities including those from Hong Kong and Canada enter the community and guide middle and high schoolers to explore the meaning of learning and the value of self through application of what we have learned, leading to promising careers in the future.
While viewing the past and thinking of Finland, wasn’t it the ideal that I wish to accomplish after return to make learning more meaningful? The pandemic is an invisible stern teacher who teaches us to cherish each other in times of turmoil, to pursue dreams step by step in homeland, and to discover again. Learning is infinite grand journey embodied in a purpose, improving oneself to benefit others, exploring unknown, and creating value.
With joint endeavors of faculty and students, National Taiwan University today draws more attention to counseling resources. The Device of Epidemic Prevention No. 1, Azalea Festival online, and the University of Future project allow us as the most puzzled class to transform into the most unique and perseverant class with self-awareness. We firmly believe that anything that brings to the life gives meaning. Regardless of gradation and end of class, members of NTU would continue to consider and learn as well as proceed to accomplish in the infinite game of life. And the resonance of ringing the Full Bell in our mind never ceases.
I would like to extend my gratitude to professors, fellow classmates, family, friends, parents and grandparents in my path. Thank National Taiwan University for urging us to change. I expect each student and myself to transcend ourselves and to be compassionate toward others as active learners during trying times. We together create stories of common good and embrace the spirit to contribute to the universe. I am Lin, Shih-Feng. We are brave upon graduation. Thank you all.
詳見：
https://www.facebook.com/NTUCommencement/posts/2718183551805402
.
#臺灣大學 #畢業典禮 #NTUCommencement2021 #學生致詞代表 #臺大心理學系 #林世峰
📜 [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
Tribute to the dead, the missing and more importantly, a letter to the awakened ones.
We had a lot of dates printed in our heart, may I use one of them that’s got one more meaning in it.
At some point to some people 911 was the end. Rest of us survived. And as time went by, some of us passed away and here we are, keep on living day by day again.
A sincere thank you to those who strike off shackles to the past, just to let us live for a better future.
“Cry, cry out loud.
I don’t need to be the one who makes you smile.
Fly, fly to someone I can’t shout.
When you’re about to fall,
I will keep my feet on the ground.”
To the awakened fellows. Not everyone’s got a clear mind to lead them where to go and what to do. Don’t be normal. Don’t be limited. Just be yourself. We will always support each other. Till the day we die.
- CHANKA ?
-
Written by CHANKA
Arranged by CHANKA, MAEL, Hin, Dean
Recorded by Nichung
Mixed by MAEL
Mastered by Lok Chan
-
#CHANKA #陳嘉 #Reminiscence
-
Now available on:
Spotify: https://spoti.fi/3hjYDYO
Apple Music: https://apple.co/32kYTCt
KKBOX: https://kkbox.fm/uSeWTe
MusicOne: https://bit.ly/2FmBNT8
JOOX: https://bit.ly/2F9O79x
TIDAL Music: https://bit.ly/3bRhaub
-
CHANKA 陳嘉:
www.instagram.com/wander.chanka
www.facebook.com/wander.chanka
wanderchanka@gmail.com
-
Have a listen of some of my other works :
"Silence" : https://youtu.be/1Hkk7l4zk9k
"Young" : https://youtu.be/kolrKYxvvf8
"Ocean" : https://youtu.be/GOTdDrC1G-E
-
❖訂閱頻道收聽更多好聽的歌：https://www.youtube.com/c/EHPMusicChannelII
❖Facebook臉書專頁：https://www.facebook.com/EHPMC/
❖IG：ehpmusicchannel
❖微信公眾號：ehpmusicchannel
----------------------------------------------------------------------------------------------------------
♫ 一鍵收聽你想聽的歌 ♫
❖ 抖音/TikTok專區 ♪：https://www.youtube.com/playlist?list=PLtAw-mgfCzRwduBTjBHknz5U4_ZM4n6qm
❖ 華語歌曲專區 ♪：https://www.youtube.com/playlist?list=PLtAw-mgfCzRz5t_T2v2iuW1pqnj89kY4F
❖ 廣東歌/粵語歌專區 ♪：https://www.youtube.com/playlist?list=PLtAw-mgfCzRxBtfYS-CM3UXto2VbUL8hA
❖ RAP/說唱專區 ♪：https://www.youtube.com/playlist?list=PLtAw-mgfCzRyD5qKNqumkTXqtPiYj3mlr
❖ 古風歌曲專區 ♪：https://www.youtube.com/playlist?list=PLtAw-mgfCzRy9uWRObrUifsgJBdpBEq-y
❖ 翻唱/改編/Remix/EDM 歌曲專區 ♪：https://www.youtube.com/playlist?list=PLtAw-mgfCzRz9-257u_Eknjf0sjW6HDjH
❖ 更多分類歌單：https://www.youtube.com/channel/UC345x_D7DgK5313D3ftM_EQ/playlists?view=50&sort=dd&shelf_id=17
----------------------------------------------------------------------------------------------------------
❖歌詞在下面❖
Singer：KDrew
Author：KDrew
Composer：KDrew
I don't care about growing old
我不在乎會變老
We can turn down any road
我們可以拒絕任何一條路
As long as I can look in your eyes the entire time
只要我一直可以望向你的雙眼
I feel like were alone in a world that's so cold
我覺得這個冷漠的世界中我們如此孤獨
But I can say that I don't mind
但我可以說 我不介意
If you're by my side
如果你在我身旁
Yeah we might
我們可能
Fall fall fall fall fall
會墜落
We might get lost along the way
我們可能會在路上迷失
But we'll risk it
但是我們願意
All all all all all
承擔一切艱難險阻
Because fear can't shake our faith
因為恐懼不會撼動我們的信仰
Because we won't be defeated
因為我們不會被打敗
That's right you just keep on breathing
對 你只管繼續呼吸吧
Were going to fight until
我們要戰鬥
Ours souls don't search no more
直到我們的靈魂不再求索
And you know we won't be retreating
你知道我們不會撤退
Because in you I found a meaning
因為我在你身上找到了意義
We're going to fight until
我們要戰鬥
Our souls don't search no more
直到我們的靈魂不再求索
We're going to win in this game called love
我們要在這場叫做愛的戰鬥中獲勝
It's just something that I know
我知道一些事
And I could feel it in my bones
我從骨子裡都能感受到
That someday somehow Gonna stand in the light
不管怎樣 會有人站在光亮中
Yeah we might
我們可能
Fall fall fall fall
墜落
（Fall we might fall)
墜落 我們可能墜落
We might get lost along the way （along the way)
我們可能會在路上迷失
But we'll risk it
但我們會冒險
All all all all all （all all)
應對一切艱難險阻
Because fear can't shake our faith
因為恐懼不會撼動我們的信仰
Because we won't be defeated （no more）
因為我們不會被打敗
That's right you just keep on breathing
對 你只管繼續呼吸
We going to fight until Our souls don't search no more
我們要戰鬥 直到我們的靈魂不再求索
（no more)
不再
And you know we won't be retreating
你知道我們不會撤退
Because in you I found a meaning （my meaning girl)
因為我在你身上找到了意義
We are going to fight until Our souls don't search no more
我們要繼續戰鬥 直到我們的靈魂不再求索
We going to win in this game called love
我們會贏得這場叫愛的戰鬥
We going to win in this game called love Love
我們會贏得這場叫愛的戰鬥
We going to win in this game called love
我們會贏得這場叫愛的戰鬥
We going to win in this game called love
我們會贏得這場叫愛的戰鬥
We won't be defeated
我們不會被打倒
Ooh ooh ooh ooh
Because we won't be defeated （defeated)
因為我們不會被打敗
That's right you just keep on breathing （on breathing)
對 你只管繼續呼吸
We going to fight until Ours souls don't search no more
我們要戰鬥直到我們的靈魂不再求索
（more no more)
不再
And you know we won't be retreating
你知道我們不會撤退
Because in you I found a meaning （found my meaning girl)
因為我在你身上找到了意義
We are going to fight until
我們要戰鬥 直到
Our souls don't search no more
直到我們的靈魂不再求索
We going to win in this game of love
我們要贏得這場叫愛的戰爭
Oh oh oh
Oh oh ooh oh oh
Said we won't be defeated
我說我們不會被打敗
----------------------------------------------------------------------------------------------------------
❖歌曲上架平台
➸ 網易云音樂 | http://music.163.com/song?id=29953682&userid=1450149887
➸ 酷狗音樂 | https://t4.kugou.com/song.html?id=23gvhdawmV2
➸ QQ音樂 | https://c.y.qq.com/base/fcgi-bin/u?__=KQaMqhn
----------------------------------------------------------------------------------------------------------
❖ 合作郵箱：ehpmusicchannelhk@gmail.com
❖ 微信：EHPMusicChannel（id：xy-z1315）
（歡迎查詢合作/投稿音樂/攝影作品等等）
❖Original Photo by Hugo D.
❖歌曲版權為歌手本人及其音樂公司所有，本頻道只作推廣及宣傳之用，若喜歡他們的音樂請到以上平台鏈接購買歌曲支持。
❖Like, Comment, Share & Subscribe❖
❖喜歡的請分享及訂閱本頻道❖
又要來推坑阿滴桌遊啦！這次要來玩的是戰鎚冥土世界，有興趣的話可以點以下連結：https://www.warhammer-world.info/home/product_detail/15
Warhammer Underworlds is a tactical arena combat game. This is a system designed for balanced, small-scale tactical games that can be played quickly and easily by anyone, but which even experienced players will find challenging to master. The game rules are designed with competitive play in mind; matches can be played in under 45 minutes, on a smaller surface than our larger-scale games, and will be ideal for club or tournament play. And not only that, we’ll be fully supporting an organized play system for this game, right from day one.
The forces you can use in this game will be drawn from races across the Mortal Realms, including some for factions that have not received any new miniatures since we first ventured into the Age of Sigmar. Each of these sets will be composed of a small band of easy-to-assemble, push-fit miniatures in the style of our single-pose heroes to represent a specific band of warriors from that faction. These are provided in coloured plastic, and clip together, so you can quite literally be playing with them within minutes of opening the box with no glue or paint needed! (Though they do look great painted, and your dice will roll better – probably.)
The game is played using unique dice and card decks, and these will, to an extent, be unique to each faction. Both decks of cards used in the game are fully customisable – meaning you can choose to create all manner of combinations of overlapping abilities to use and objectives to achieve. This can be a really rewarding part of the game – and means that even the same faction can be played in wildly different ways. We’re expecting to see all sorts of combinations tried out at game stores, clubs and in tournaments.
希德塔的鏡像城市是幻想和瘋狂的噩夢，不斷變化的迷宮，無盡的樓梯，狹窄的街道和高聳的拱門。原來的城市失去了各種顏色和生命，幾千年來，它已經成為一種不詳的毀滅。那些踏入城牆的不幸，勇敢或莽撞的冒險家，穿過國界之間的帷幕，被困在鏡城之中。對於這樣的頑固的人，所有的希望似乎都失去了。
戰鎚40K
戰鎚
#戰鎚
規則錯誤部分如下：
●1:13－其實是鎚子，不是斧頭。
●8:17－首領讓攻擊擲骰重擲的能力，必須在投擲攻擊骰之前宣告使用。
●12:35－每輪的先後決定擲骰是四顆，不是五顆。
●12:56－阿滴的攻擊擲骰是1爆擊、1鎚、1劍，粒方的雖然也1爆擊，但比較完爆擊後，要比較一般成功的數量。索奧奇的攻擊行動是成功符號是鎚，阿滴還有1鎚，粒方已經沒有其他成功骰，所以該該次的攻擊行動是成功的。
●15:38－野獸人的激勵條件是敵方戰幫有兩名或更多鬥士陣亡，而不是全場。不過這是官方中文版本身印刷的問題（英文是正確的）。
