關於 right on point meaning ，我們在網路上蒐集到這些相關的討論、資訊與評價

This video got us all speechless. But we will sum it up with one word. PARADISE. 😍

#Repost IG: @the.ark.team
📍 Layang Layang Island

𝗗𝗜𝗩𝗘 𝗦𝗜𝗧𝗘 𝗛𝗜𝗚𝗛𝗟𝗜𝗚𝗛𝗧:
𝗧𝗛𝗘 𝗣𝗢𝗜𝗡𝗧, 𝗟𝗔𝗬𝗔𝗡𝗚 𝗟𝗔𝗬𝗔𝗡𝗚 𝗜𝗦𝗟𝗔𝗡𝗗

The convergence of two dive sites, Gorgonian Forest and Dogtooth Lair, forms a sharp corner that we call The Point. It is a gradual slope from 5m to 18m, then a steep slope down into the abyss. The currents here can be tricky at times, but this is where we usually hunt for hammerheads. Sometimes, we would leave early (6 or 7am) to increase our chances of hammerhead sightings. Depending on the current, we would drop in at the top of the reef at 5m, then slowly descend to 20m as we head out into the blue (meaning away from the reef) in search of the sharks. We would spend about 10-15mins out there, and if we find what we're looking for, we'd stay there as long as our no decompression limit allows. After that, we then find our way back to the reef and end the dive with a school of jackfish or barracudas accompanying our safety stop! Sometimes, divers might even see manta rays, eagle rays, and devil rays here. Other marine animals commonly seen here are dogtooth tunas, white tip sharks, and grey reef sharks.

The hammerhead sharks are usually seen out in the blue, but sometimes after coming back to the reef without a single sighting, we'd bump right into a school at the shallow reef! Layang Layang is truly full of surprises.

In the video, you can hear a loud beeping sound: an alarm from our camerawoman's dive computer set to beep at 27m. Being out in the blue with no reference point, it is important to be aware of our depth, especially if we see a school of hammerheads! In our excitement, the last thing we want is accidentally going deeper than our limit.

Video by @krys.uwfilms for The Ark Team
@layanglayangislandresort

📜 [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

I am so glad to be here today, representing Patriot Malaysia attending "A CONVERSATION: THE RUKUNEGARA 50 YEARS ON" organized by @allianzmalaysia at @aloftkls

Thanks guest speaker for the wonderful sharing. It is our role to understand when and where Rukunegara came from and why. Thanks @allianzmalaysia for organising this forum in conjunction with the month of Malaysia Day.

We used to recite Rukunegara during our primary school or secondary school time. I remembered that I was the school prefect and I always so proud to be on the stage and recite the Rukunegara. Recite it loudly not just from the volume of my voice but proudly. The full phrases of Rukunegara was printed on the back of our notebook as well.

But what happened is right after that, do we still remember all of it? Remembering it is one thing,

Are we really understand the meaning of it? What happened if we, Malaysian, don't live with it?

The main reason of having Rukunegara is to unite all of us, create a unity among the different races and everyone can be in together, achieve harmony for the sake of success and stability of the country.

From my perspective, in the current times, even if we understand fully we must always remember that, because that is something we all (multi racial) align with and with that, we can be in together and achieve greatness for our country.

Everyone have their agenda or an objective to achieve whenever they wanted something, or to achieve something in life. But we should promote the value of it, instead of wanting that straightaway.

Share or tell the "why" you doing it, inspire them and also come out with a win-win situation for both parties. Make sure you don't steal, and don't depreciate others work as well as long as they are doing in the right way.

Be brave to always speak out, point out when you think they are not doing it right. But again, I also knew that, being "right" nowadays are very subjective. Everyone have their own opinion and own ways of doing certain things. Therefore, the intention must be always positive no matter what!

Peace ✌️😊

#Rukunegara #50YearsOn #PatriotMalaysia #Patriot #AllianzMalaysia #Projek57 #Youth

ご近所の松本氏、
有名な看板屋、この地域の松本一族です、

今日はビラーゴ改で、お出かけ、

ビラーゴ（Virago）とは、ヤマハ発動機が製造しているクルーザー（アメリカン）タイプのオートバイで、正式な車名は型番のXV（エックスブイ）である。現在もシリーズ車種として生産されているが、国内での正規販売はされていない。なおビラーゴは「じゃじゃ馬」という意味。
概要

1980年代後半まで、国産アメリカンは、売れ線のロードスポーツ車のシート高を下げ、フロントフォークを数センチ前方に突き出して段付シートを装着しただけの、いわゆる「ナンチャッテアメリカン」だった。

その中で本物志向のアメリカンを狙っていたのが1981年に発売されたXV750Specialであり、ホンダも同じコンセプトでCXカスタムをラインアップに加えていた。（ただしホンダCXは通常のV型エンジンを90度ひねって左右に気筒を張り出す、モト・グッツィと同じエンジン構造の変則V型だった）しかしXVは当時の国内保安基準からスタイル的にアメリカンになりきれない遠慮があったため、それを割り切ってフルモデルチェンジを行ったのが1984年に発売されたXV750Viragoである。

低いシート、長いフロントフォーク、段付シート、何よりも搭載されるエンジンが空冷Ｖ型という点で最もアメリカンに近かった。しかし中途半端に馬力を求めたエンジン特性のせいで、アメリカンの醍醐味である鼓動感がイマイチだった。

これを見たホンダが水冷ながらも馬力を低く抑え、トルクやエンジンの鼓動というアメリカン特有の味を前面に出したのが、バイク史上に残るヒットとなったスティードであり、ヤマハもそれに応じる形で、後にドラッグスターへのモデルチェンジを行なった。

しかし海外の一部地域ではビラーゴの人気は続いていることから、現在も250ccの車両については生産され続けている。

ビラーゴ (Virago) is the motorcycle of the cruiser (American) type that Yamaha Motor produces, and the official car name is model number XV (an X buoy). It is produced as a series car model, but the regular sale in the country is not done now either. ビラーゴ is still a meaning called "the complaining woman".
A summary

It was so-called "fake candy re-perception" that it was sold, and domestic candy re-Kan lowered the amount of seat of the road sporting motor vehicle of the line until the latter half of 1980's, and it pushed out a front fork several centimeters forward, and attached a seat belonging to step.

It was XV750Special released in 1981 that aimed at a genuine article-oriented candy re-can in that, and Honda was as well as a lineup in a CX custom in the same concept. （But it was irregularity V type of the engine structure same as モト・グッツィ which Honda CX turned a normal V-type engine 90 degrees, and posted a cylinder on right and left）However, it is XV750Virago released in 1984 that I finish breaking it, and performed full model changeover because there was the hesitation that cannot be American a style from a then domestic preservation standard as for XV.

A low seat, a long front fork, a seat with step, an engine equipped with above all were the American at a point of air-cooling V type and were near. However, because of the engine characteristic that demanded a horsepower halfway, a feeling of beating that was the American powerful charm was not good enough.

It was hit to stay in the motorcycle history and Steed that it was it that I held down a horsepower low although Honda which watched this was water-cooled, and started torque and taste of the American characteristic called the beating of the engine on the front, and Yamaha performed a model change to the drug star in form to accept it later.

However, the popularity of Viragocontinues being produced about the vehicle of 250cc now in the overseas part area because I follow.

高槻のお店から知っていたそうです、
今回、KAを購入し、2000番台
それを機会に遊びに来てくれました、
日本初のダチョウ料理専門店、
ライダーズカフェMACHⅢ
大阪府堺市美原区北余部４６９－６
ＴＥＬ＆ＦＡＸ０７２－３６１ー３１７１
http://www.h4.dion.ne.jp/~maltuha/index.html
The medium-sized motorcycle which Kawasaki Heavy Industries produced with Kawasaki / Z400FX (Z よんひゃく F X). The summary which I abbreviated FX (F X), and was got close to by a pet name of "フェックス"

"Z500" announced in Europe in 1979 got high evaluation having the design of a novel straight line basic tone. I change a boa stroke of this "Z500", and it is "Z400FX" to have released as a medium-sized motorcycle to a Japanese license system. It could be it since CB400F of Honda where production was canceled in 1977, and the motorcycle of four cylinders which I could step on with a medium-sized license won extreme popularity. In comparison with CB400F which became stopping producing it, I enabled a 400cc4 cylinder without profit matching by using 500 and the part of export specifications in common thoroughly.

Production (an E4B model) was continued for a while after succeeding model "Z400GP" which planned the output, the reinforcement of the availability of traffic facilities in 1982 was released.
Others

* Like a rival car model, is deep-rooted as a remodeling class car in motorcycle gangs / 旧車會; there are completely few bodies staying in a normal state, and is big for the image of this car model again, and it is it with the cause to decrease to be popular. As for the thing left in the state that is almost normal, it is had dealings with an amount of money lacking common sense.
* Because I make much of a design, a seat becomes wide highly. You should do "Anko omission" to sharpen the sponge of the seat, but I do not want to break a beautiful design, but there are many riders who got on sake (because I want not to be thought to be short legs) at a stretch.

ビラーゴ (Virago) is the motorcycle of the cruiser (American) type that Yamaha Motor produces, and the official car name is model number XV (an X buoy). It is produced as a series car model, but the regular sale in the country is not done now either. ビラーゴ is still a meaning called "the complaining woman".
A summary

It was so-called "fake candy re-perception" that it was sold, and domestic candy re-Kan lowered the amount of seat of the road sporting motor vehicle of the line until the latter half of 1980's, and it pushed out a front fork several centimeters forward, and attached a seat belonging to step.

It was XV750Special released in 1981 that aimed at a genuine article-oriented candy re-can in that, and Honda was as well as a lineup in a CX custom in the same concept. （But it was irregularity V type of the engine structure same as モト・グッツィ which Honda CX turned a normal V-type engine 90 degrees, and posted a cylinder on right and left）However, it is XV750Virago released in 1984 that I finish breaking it, and performed full model changeover because there was the hesitation that cannot be American a style from a then domestic preservation standard as for XV.

A low seat, a long front fork, a seat with step, an engine equipped with above all were the American at a point of air-cooling V type and were near. However, because of the engine characteristic that demanded a horsepower halfway, a feeling of beating that was the American powerful charm was not good enough.

It was hit to stay in the motorcycle history and Steed that it was it that I held down a horsepower low although Honda which watched this was water-cooled, and started torque and taste of the American characteristic called the beating of the engine on the front, and Yamaha performed a model change to the drug star in form to accept it later.

However, the popularity of ビラーゴ continues being produced about the vehicle of 250cc now in the overseas part area because I follow.

Allen Iverson squared up, hit a 3-pointer and raised his arms to the air, having thwarted Golden State's final charge. There was no downplaying the importance of this win that put the Denver Nuggets in control of the race for the final playoff spot in the Western Conference.

The win moved Denver (48-31) a full game ahead of the Warriors in the race for eighth place in the West with only three games remaining. The Nuggets also control the tiebreaker, meaning they can clinch their fifth straight playoff berth by winning two of their final three games.

Golden State (47-32) probably will need to win its final three games and hope Denver loses twice to avoid the distinction of being the winningest team ever to miss the NBA playoffs. Houston won 45 games in 2000-01.

"They're in the catbird seat right now," Warriors coach Don Nelson said. "We've got a big problem as far as making the playoffs at this particular time. We're going to need a lot of luck and probably have to win out."

The Nuggets erased the early deficit by scoring 19 straight points in the second quarter and built the lead up from there, putting the back-to-back losses to Sacramento and Seattle from last weekend behind them.

"It was a must win for us. We came up with that attitude," said Anthony, who had 25 points, including a 3-pointer that made it 104-90 with 7:52 to go. "It was 'win or go home' in our minds."

The lead grew to 17 before the Warriors mounted one last run, scoring nine straight points to cut it to 107-99 on Kelenna Azubuike's 3-pointer with just over 4 minutes remaining.

Golden State had two chances to cut into the lead more before Iverson's jumper got the lead back to 10. Iverson then hit the 3-pointer that made it 112-101 with 2:06 to go, icing the most important game of the season.

"AI likes to take that 3, that dagger 3," coach George Karl said. "We were kind of caught in the quandary of should we try to score or run clock. That 3 ended the quandary. It got us over that hump where we didn't have to be scared to death of them making that 3."

Both teams talked about how this game had a playoff feel to it. The yellow "We Believe" placards that were prevalent during the Warriors' playoff run a year ago were taped to each seat. But the Warriors have not been playing with the same energy down the stretch this season as they did during their memorable playoff run a year ago.

They have lost nine of the past 16 games in a lackluster finish to their best season in 14 years. Golden State committed an uncharacteristically high 18 turnovers, missed nine of 24 free throws and got poor shooting nights from Stephen Jackson and Baron Davis.

Davis had a triple-double with 20 points, 11 assists and 10 rebounds, but shot only 9-for-25. Jackson had 18 points on 5-for-17 shooting. Monta Ellis led the way with 29 points and Al Harrington added 20.

"We've got a job to do, we've still got games," Jackson said. "We can't sit and dwell on this game because we lost. Definitely, everybody's upset, but at the same time we can't do anything about it. We've got to get ready to play the next game."

The notoriously slow-starting Warriors had their best opening quarter in months, taking a 37-22 lead after one for their best start since leading Cleveland by 16 after one back on Dec. 23. That advantage was quickly erased when the Iverson and Smith found their stroke and the Warriors struggled against Denver's zone early in the second.

"All I know is zones change offenses," Karl said. "When teams zone us, I'm not sure it works but it makes us play different. It makes us play in a way we aren't 100 percent comfortable."

It had a similar effect on the Warriors, who missed their first eight shots of the quarter. Iverson had nine points and Smith scored eight in the big run that gave Denver a 43-38 lead.

Game notes
Golden State F Brandan Wright and Denver F Nene missed the game with groin injuries. ... Davis has three triple-doubles this season. ... The Warriors have not won back-to-back games since taking three in a row March 7-12.
Iverson scored 33 points, J.R. Smith added 24 off the bench and the Nuggets overcame a 16-point deficit in the first quarter to win their playoff showdown with the Warriors 114-105 Thursday night.

"Everybody knew what was at stake," Iverson said. "It's easy for players to say it's just another game. But everybody knows it wasn't just another game. It was a game that both teams felt they had to have."