Basically, 9.0-9.5 mm Japanese Akoya pearls are considered extra large for its kind; meaning that they are extra rare and expensive accordingly. Though, when worn by a tall guy, they don’t look that large. I think that this is an opportunity for pearl marketers to sell the goods in premium size to male customers. In general, fashion and beauty products which are specially made for men are extra expensive anyway, because they are somehow considered tailored-made for specific needs.
同時也有7部Youtube影片,追蹤數超過134的網紅Clarissa Ima,也在其Youtube影片中提到,Hey there everyone! Welcome back to my channel Happy New Year 2021, woohoo! How’s everyone’s New Year so far? This was my attempt to change the so ...
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anyway 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
anyway meaning 在 The Chill Mom Michelle Hon Facebook 的精選貼文
Someone asks me on Clubhouse today 👉🏻 “How do you grow your Instagram account?”
💁🏻♀️If only I get a dollar every time someone asks that question. Anyway, here’s my quick answer:
1️⃣ Know your NICHE - meaning who are you are speaking to. Who do you want to attract? It’s not about having every Tom, Dick and Harry following you, just to boost that number of followers.
Be specific. What type of woman needs your content? What’s her burning pain? Desire? Dream?
How are you the person she would look up to? Or relate to?
Every single post & story should be INTENTIONALLY speaking to your avatar. Solve her problems. You can start by nailing your bio and sharing a mix of educational + inspirational content that speaks to her specific problems.
2️⃣ WORK WITH the algorithm. Understand what Instagram wants and how your post could reach more people. Don’t try to trick the algorithm - you’ll alway be playing catch-up. Also, the algorithm is not out to screw you. It’s ensuring the best experience for all the users.
Study hashtags, Google trend, TikTok and YouTube to see what specific topics in your niche are trending. In short, what does your niche want to see?
3️⃣ Raise your personal BRAND. See what everyone else in your industry is doing? Now, go the other direction. Stand apart.
Instead of chasing your followers and brand deals, learn what would ATTRACT them to you. Trust me, it’s a much more fun game to play.😌
Put your blinders on and just do you. Find your voice & share your story. Stay in your own lane & focus your energy on clearing your mental space. That’s how you can be creative. And that includes unfollowing people who doesn’t add value to your consumption. (Pro-tip: You can mute them if you’re friends with them 😆)
PS: I’m working on an IG Growth Bootcamp for those who wants to grow on IG. I want you to make progress - so there will be a small fee. Drop me a DM if you’re interested!
👏🏻👏🏻 Now action time. Which of these can you implement right away! Comment and let’s chat!
📷 @theresaolesen_portraits
anyway meaning 在 Clarissa Ima Youtube 的最佳貼文
Hey there everyone! Welcome back to my channel
Happy New Year 2021, woohoo! How’s everyone’s New Year so far?
This was my attempt to change the so called table clothe for my study table. What do you guys think? Did I do a good job or just nahhhh... hahaha! I do admit it was an impulsive decision, but I have been meaning to change the covers.
Anyway, I do wanna apologise for the sudden change in my speech/language. Somehow I felt comfortable speaking in Iban (my mother tongue) in this HOME DIY VLOG! I promise to include subtitles in the near future.
While you’re here...
Check these STORYTIMES! :
? ONLINE DATING WENT WRONG.. - https://youtu.be/VBDkpfQ5DfQ
? CERITA SERAM TANDAS SEKOLAH - https://youtu.be/UIzgQAC9xS8
? HOUSEMATES BUAT HAL! - https://youtu.be/-0wWDkz3rVg
AUDIOS IN THE VIDEO
?Music: Sweet
Musician: LiQWYD
URL: http://www.soundcloud.com/liqwyd
? Music: Chill
Musician: LiQWYD
URL: http://www.soundcloud.comMusic?
Music: Trippin Coffee
Musician: Jason Shaw
URL: https://audionautix.com/liqwyd
?Music: Fade Out
Musician: LiQWYD
URL: http://www.soundcloud.com/liqwyd
? Music: Xanned Out(feat.slchld)
Musician: Hoonzie
URL: https://soundcloud.com/hoonzie
? I DO NOT OWN THE BGM
If you guys did enjoy this kind of HOME DIY VLOG video, I will make sure to do more content like this in the future! Let me know what videos you guys want me to create in the future ;)
I make makeup tutorials, challenge, hauls, VLOGS and other entertaining videos. Make sure to be subscribed to my channel ❤
LET’S TALK AND HANGOUT!
Instagram : https://www.instagram.com/clarissaimaa/
Business Inquiries + Collabs :
askclarissaima@gmail.com
LIKE, COMMENT, SUBSCRIBE & SHARE!
Love, Rissa!
anyway meaning 在 umino ASMR Youtube 的精選貼文
Hello, I am umino.Thank you for watching this video.This description uses Google Translate.
This video also shows the face. I don't think everyone is interested in my face, but take a look. Guarantee that the sound is also good. The point is that it is so-so. Everyone would expect it if they said it was the best. I'm scared when I can't exceed my expectations if I make them expect too much. So we use the word so-so.
今回の動画も顔が映ってる。みんな私の顔には興味がないと思うが、見てやってくれ。音もまあまあいいことを保証する。まあまあという部分がポイントだ。最高にいいと言ってしまうとみんなが期待してしまうだろう。期待させすぎると期待を超えられなかった時が怖い。というわけでまあまあという言葉を使う。
People who don't understand Japanese can't understand what I'm talking about in this video. So I will explain it in the summary column.
日本語が分からない人はこの動画で私が喋っていることが全く理解できないと思う。なので概要欄の方で説明をします。
Anyway, I'm talking about my glasses getting cloudy. The glasses get cloudy due to the heat and humidity. The biggest reason is wearing a mask. You think you should take off your mask? No good. If I take off my mask, you will see a beard. Due to the lighting on the well-represented cameras, these guys make my face appear as it is. I can't forgive such a thing. What it is It's Anna and the Snow Queen. By the way, I've never seen Anna and the Snow Queen.
とにかく眼鏡が曇ることを喋っている。酷い暑さと湿度で眼鏡がとにかく曇る。マスクをしてるのが1番の原因だ。マスクを外せと思うだろう?ダメだ。マスクを外しては髭が見えてしまう。よく映るカメラに照明、こいつらのせいで私の顔がありのままに映し出されてしまう。そんなこと許せるはずがないだろう。何がありのままだ。アナと雪の女王かよ。因みに私はアナと雪の女王をちゃんと見たことがない。
He also said that you shouldn't look at the screen. If you don't know what you are doing, you may feel ASMR. I'm saying that. In short, focus on your ears only. Those who want to see the screen cannot stop it. But you're the one who can't keep your promise... I'm disappointed.
画面を見ない方がいいとも言ってる。何故かというと何をされてるか分からない方がASMRを感じることができるのではないか?ということだ。端的に言えば、耳だけに集中しなさいということだ。どうしても画面が見たい人は無理には止めない。ただ約束を守れない人だ…と私はガッカリするよ。
If you look at the screen, you can understand that you are rushing to use various things. Is it so difficult to make a sound while speaking something? I also have to look at the camera and check the recording equipment. It's a very difficult task. I'm thirsty because the temperature is high. He wanted water. If you dry your throat, you will feel alive. Like Manami on Yowamushi pedal.
色々な物を使おうとして焦ってることは画面を見ればなんとなく分かると思う。何かを喋りながら音を出すことがこんなにも難しいのか。更にカメラを見て、録音機器のチェックもしなければならない。非常に難しいタスクだ。気温が高いこともあって喉も渇く。彼は水を欲していたのだ。喉の乾きを潤せば生きている実感を得れる。弱虫ペダルの真波山岳くんのように。
He also mentioned that he changed his glasses from the previous video. Why did you change your glasses? There is no particular meaning. It makeover if by force say. The same will always be boring. I don't agree with that because I think it's great to stay the same. It's said that changing the glasses resembles an entertainer wearing these glasses. Only the glasses are similar. Isn't it my own glasses anymore? No, I want to deny it.
前回の動画から眼鏡を変えたことにも言及している。何故眼鏡を変えたかだって?特に意味はない。強いて言うならばイメージチェンジだ。ずっと同じはつまらないだろう。私は変わらないことが素晴らしいと思う派だから、それには賛同できないがね。眼鏡を変えたことでこういう眼鏡をかけている芸能人に似てると言われるだろう。眼鏡しか似てないのにだ。それはもう私自身が眼鏡ということではないのか?いやそれは否定しておきたい。
You can also see that he cares about his bangs. Everyone will be more wondering why they care so much. It's just like a young woman. Young Japanese women care especially about their bangs. Are you solidifying something! ? The bangs do not move to the extent that it is illusion. It's crazy. I call them professionals who continue to show their best. The only reason I care about my bangs is to hide that my forehead is wide.
前髪をしきりに気にしていることも分かるだろう。何故こんなに気にしているのか、みんなはもっと気になるだろう。それはもう若い女性と同じようなものだ。日本の若い女性は前髪を特に気にする。何かで固めているのか!?と錯覚する程に前髪が動かない。クレイジーだ。私は彼女らのことを最高の自分を見せ続けるプロフェッショナルと呼んでいる。私が前髪を気にした理由はデコが広いことを隠したいだけなんだけどね。
Good night.
おやすみの。おやすみ。
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anyway meaning 在 Bubzvlogz Youtube 的最佳貼文
Hello Youtube Family,
Today’s Vlog:
He Owes Me,
Another Weird Dream,
Meaning Of My 3rd Ring,
BLOOMING BELLY
I forget how my belly is growing!! Man, nothing fits anymore! I had to emergency buy more clothes the other day. Good to know baby Acorn is growing well.
I'm actually amazed how some of you noticed the extra ring on my hand lately!! GOOD EYE!! I know it's just a part of a keyring but it's super important to me now. My first proper gift from Isaac (not including the snots he gives me as offerings) =')
Tim's is notorious for always being late and it has bugged me for several years. When he is late, it means I'm late because we always attend events together. We always somehow JUST about make our flights and it drives me CRAZY! I like to take my time going through security but with him, I'm left all sweaty for the flight. His excuse is "Well have we ever missed a flight?" The thing is, he knows I bring the time 30 minutes forward and so we always still end up being late these days. GRRR!!! Can anybody relate with my struggle?
Anyway, going to be a super early night for me. I've been on FIRE writing the book and my brain is a little frazzled so I think I'm going to take it easy tonight. Goodnight, everyone!
Love, Bubz family xo
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