The owner, Mr. Lyn Rathburn, decided decades ago to keep The Cactus King's doors open for retail customers. He knew that 99% of people wouldn't otherwise have access to cacti and succulents past what may be found at a big-box store's gardening department. Considering the fact that The Cactus King offers the largest collection of cacti and succulents for sale on the planet, it was imperative to him that the community at large have the same access that special collectors, museums, botanical gardens, landscapers and other wholesalers had.
Many believe that The Cactus King and other commercial nurseries that sell common landscaping plants can operate similarly. This an understandable point of confusion. To explain, Mr. Rathburn is a trained, expert botanist within an already highly specialized portion of botany (cacti and succulents). Our dedicated team is small because each member must undergo months of intensive training before being able to fulfill even the simplest of customer requests. Each and every team member loves the plants and wants to spread the joy they bring us with the rest of the world.
The Cactus King works hard to respond to emails, text messages and phone calls in a timely manner. Due to the complex nature of working within this area of botany, please allow up to 5 business days for a response. Most likely, you will receive a response within 1-2 hours. If the matter is urgent, contact us via phone at (281) 591-8833.
Special Occasion? It's Your Day To Be The King!
It's no surprise that our clientele sees us as a destination, not simply a store to purchase another product. The Cactus King's customers frequently make the trip from different countries, cities and states. They enter with a look of magic and wonder on their faces. Botany students from surrounding universities come to observe and photograph our diverse collection of cacti and succulents. Brides and grooms to be often come to take engagement and wedding photos.
The magic of hundreds of species of cacti and succulents from all around the globe will almost certainly compliment your special occasion. Whether you are taking family photos, celebrating an engagement or have an interest in botany, The Cactus King is the place for you.
The cost to take photographs at our nursery is $40.00 per half hour.
Call us today at (281) 591-8833 or via email at turnera@thecactusking.com to book a date and time!
Shop Online Like A King!
There is a minimum of $50.00 per web order.
The Cactus King services the entire United States. There is no sales tax for clients located outside of Texas. For those residing in the great state of Texas, local sales tax of 8.25% will be added.
To verify prices and availability, either reach out via email to order@thecactusking.com or call (281) 591-8833 for assistance.
Participating in environmentally sustainable growing practices is at the crux of The Cactus King's philosophy. Aside from the beauty and magic that cacti and succulents bring (and it's substantial), they save an INCREDIBLE amount of water.
The Cactus King uses approximately 250 thousand gallons of water annually. A nursery of the same size that sells other popular landscaping plants, utilizes anywhere from 5 million to 12 million gallons of water each MONTH!
The Cactus King sees no necessity in compromising the needs of our planet for the needs of its business.
"If you get stuck by a cactus, it's really a cactus kiss. We all know love hurts"
Start your succulent collection with a King's Choice Succulent Collection twelve pack. The Cactus King will choose 12 of our best succulents and ship to your home today.
Start your cactus collection with a King's Choice Cactus Collection six pack. The Cactus King will choose six of our best cacti and ship to your home today.
The Cactus King is proud to offer 1,000, 2" cacti/succulent seedlings at $0.65 per plant. These 2" seedlings are hand picked at our discretion. You may request specific plants and The Cactus King will always do its best to accommodate said requests.
Growing into a giant globe light green, closely ribbed, covered with golden spines; yellow flowers imbedded around top, opening in sun.
The Cactus King was featured in a short film! If you haven't had a chance to visit our store in person then take a few minutes and watch this short film for a small glimpse of what we have to offer!
Click here to see our pottery!
Click here to see our cactus gardens!


1.12oz Rectangle chocolate candy bar wrapped with your choice of colored foil. Imprinted label with photograph will be applied to the bar.
Choose from milk chocolate candy, dark chocolate candy, white chocolate candy, or dark mint chocolate candy. Makes a great food gift or promotional giveaway.
Includes up to 4 color process imprinted label applied to the foil wrap..
Available in: milk, dark, white or dark mint chocolate. Available in 25 different foil colors.
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text:
CHAMBERLAIN SQUASH OPEN > ABOUT
Tom Ford, Chamberlain Squash Open Winner with his trophy.
CHAMBERLAIN SQUASH OPEN (CSO) is passionately devoted to the development, organization and promotion ofSquash in Nigeria. CSO is a Tournament that welcomes international and national players. CSO is a great chance for players to compete against international opponents and increase their national ranking. CSO brings over one hundred players, parents and spectators to Lagos, increasing tourism for the local community, thus a favourable aspect of hosting an CSO.
CSO is committed to developing squash and sports generally in Nigeria and Africa. We also hunt for young talents and channel their youthful energies into squash and sports in general thereby taking them off the streets and giving them a new lease of life. We are committed to using squash and sports to tackling societal ills and deepening social development.
CSO an upshot of CSE seeks to promote and develop the sport amongst young people and bring up a new generation of players that will represent the country at National and International stage.
Our vision is to enhance the national consciousness of squash through systematic development and promotion at sub-national and national levels to foster cohesion, enhance health fitness, and promote friendship within the squash community.
WHAT WE INTEND TO ACHIEVE
Lend our quota to the development of the sport through systematic promotion at the grassroots.
Promote the development of the game of squash amongst young people and by bringing up a crop of new generation of players that will represent the country at National and International stage. This will help in contributing positively to Squash in Nigeria, thereby placing Nigeria Squash on the World map.
Identifying talent and foster competitive spirit amongst the players irrespective of age or gender.
In the light of the campaign to include squash in the 2024 Olympic Games, this tournament offer Nigeria an opportunity to groom young players for the games and other international opens.
Also a number of Nigeria squash players are in PSA World ranking but they are relatively unknown in the country, this tournament serve as an avenue for them to be supported, as we strive to be in the World's top 50.

redpajama_set_name: RedPajamaCommonCrawl


text:
Is All CO2 Created Equal? Maybe Not.
By Bradford Plumer
Does it matter where carbon-dioxide is emitted? From a climate perspective, at least, the standard answer has always been, "Not really." Carbon-dioxide mixes pretty evenly and uniformly throughout the atmosphere, so that the heat-trapping gases coming out of a factory in China have the same effect on global temperatures, pound for pound, as the greenhouse gases emitted by, say, cars in Delaware. (This is in contrast to a number of other air pollutants, whose effects are often localized—sulfur dioxide only causes acid rain in discrete areas.)
But a new study just published in Environmental Science and Technology by Stanford's Marc Jacobson adds a slight twist to this standard view. Older research has found that local "domes" of high CO2 levels can often form over cities. What Jacobson found was that these domes can cause serious health impacts in the area: Among other things, they worsen the effects of localized air pollutants like ozone and particulates, which cause respiratory diseases and the like. As a result, Jacobson estimates that local CO2 emissions cause anywhere from 300 to 1,000 premature deaths in the United States each year. And presumably the problem's much worse in developing countries.
It'd be interesting to see more work on this subject, because if true, it slightly complicates the logic of a cap-and-trade system for emissions. After all, the idea behind a carbon-trading market is that a ton of CO2 has the exact same effect no matter where it's emitted—be it a factory in rural North Dakota or a power plant in L.A. But Jacobson's work suggests that the two aren't totally equal—that ton of emissions from the power plant in L.A. has a much bigger impact on human health. Now, maybe trying to account for those disparities would just make a cap-and-trade system hopelessly complicated. Still, Jacobson argues, they should at least be considered.
(Flickr photo credit: Stefan Gara)
China, L.A., The Vine, Environment and Energy, United States, North Dakota, Delaware, Stanford, Marc Jacobson


Prof Bell now heads the newly established Autonomy, Agency and Assurance (3A) Institute, launched in September 2017 by the ANU in collaboration with CSIRO's Data61, in building a new applied science around the management of artificial intelligence, data, technology and their impact on humanity.
Bell, G 2018, 'Making life: a brief history of human-robot interaction', Consumption Markets & Culture, vol. 21, no. 1, pp. 22-41pp.
Pink, S, Hjorth, L, Horst, H et al 2018, 'Digital work and play: Mobile technologies and new ways of feeling at home', European Journal of Cultural Studies, vol. 21, no. 1, pp. 26-38.
Hjorth, L, Horst, H, Galloway, A et al, eds, 2017, The Routledge Companion to Digital Ethnography, Routledge Taylor & Francis Group, New York, USA..
Bell, G 2016, 'Locating the Mobile', in Fran Martin, Tania Lewis (ed.), Lifestyle Media in Asia, Routledge, New York, USA..
Bell, G 2016, 'Digital kinships: Intergenerational locative media in Tokyo, Shanghai and Melbourne', in Larissa Hjorth and Olivia Khoo (ed.), Routledge Handbook of New Media in Asia, Routledge Taylor and Francis Group, London, United Kingdom, pp. 251-262pp.
Bell, G 2015, 'The Secret Life of Data', in Tom Boellstorff and Bill Maurer (ed.), Data: Now Bigger and Better!, Prickly Paradigm Press, Chicago, USA.
Bell, G 2014, 'Talking about the future: People, technology and innovation', 30th Annual Semiconductor Thermal Measurement and Management Symposium (SEMI-THERM), IEEE Explore, Online, pp. 1pp.
Dourish, P & Bell, G 2014, '"Resistance is futile": reading science fiction alongside ubiquitous computing', Personal and Ubiquitous Computing, vol. 18, no. 4, pp. 769-778pp.
Bell, G & Johnson, B 2011, Watching Viewers, pp. 1pp.
Bell, G 2011, Life, death, and the iPad: cultural symbols and Steve Jobs, pp. 24-25pp.
Dourish, P & Bell, G 2011, Divining a Digital Future: Mess and Mythology in Ubiquitous Computing, The MIT Press, Cambridge, Massachusetts, USA.
Bell, G 2011, Unpacking Cars: Doing Anthropology At Intel, pp. 1-6pp.
Zafiroglu, A, Bell, G & Healey, J 2011, '(C)archeology : Car Turns Outs & Automobility', 3rd International Conference on Automotive User Interfaces and Interactive Vehicular Applications, ACM, New York, USA., pp. 49-50pp.
Zafiroglu, A, Plowman, T, Healey, J et al 2011, 'The Ethnographic (U)Turn: Local Experiences of Automobility', 3rd International Conference on Automotive User Interfaces and Interactive Vehicular Applications, ACM, New York, USA., pp. 47-48pp.


Welcome to the Becket's Grove, Wymondham section of the Smarter Travel website.
It is important to Persimmon Homes that you settle in well to Becket's Grove, Wymondham and the surrounding area. We hope you find this section of our website useful and on behalf of Persimmon Homes thank you for selecting Becket's Grove as the place you will call home.
Complete the quick online Travel Survey to receive your free Personal Travel Plan (if you opt-in). This will also give you the opportunity to claim your active travel voucher or bus tickets (more information in your Travel Information Pack which you should have received when you moved in). Full terms and conditions can be found here.
Choose at least one local journey that you will do regularly that's less than five miles, try walking or cycling it instead of driving and see what the difference is! Head over to our Walking and Cycling page for more information on which amenities are within a walking and cycling distance to Becket's Grove.
Ask your employer if they are a member of the Cyclescheme. If not, why not suggest they sign up? You could save between 25-39% on the cost of a bicycle and cycling equipment!
Sign up free to Norfolk Liftshare. Search for drivers or passengers making the same or similar journeys to you. You can save money on the cost of fuel and car parking as well as meeting new people in the process! There are already over 300 lift sharing options available from the Wymondham area!
For more detailed information about Smarter Travel Ltd or any questions you may have, as well as walking, cycling, car sharing and public transport around the Becket's Grove area, please feel free to contact us, your Travel Plan Coordinator.
Each month Persimmon Homes gives away cash donations to local community groups and charities under their Community Champions Programme. Additionally, providing funding for amateur sports groups under their Healthy Communities Programme. Find out more about these opportunities on the Persimmon Homes website.
Flagship Homes are the affordable housing operator on Becket's Grove.
Becket's Grove Community Event Information!


The Pasadena Hilton has sold out.
110.00 USD 1 king bed SOLD OUT!
110.00 USD 2 double beds SOLD OUT!
110.00 USD 1 king bed 1 bedroom superior suite SOLD OUT!
110.00 USD 1 king bed 1 bedroom president suite SOLD OUT!
Please visit the Hilton website for more information. Restrictions and additional charges may apply, especially to the $109 rates that the Hilton website occasionally displays. If you discover a genuinely better deal than the convention rates, please let us know.
Daytime parking near the hotel is typically 2 hour limited from 9am-6pm Monday through Saturday. But do not park on the street overnight-- according to the City of Pasadena website, "There is NO street parking allowed in Pasadena between 2am and 6am except where posted otherwise."
Overnight Self-Park is for Hotel Guests is $15 and has in/out privileges.
Overnight valet parking is available at a special rate of $13 with validation. Please use the machine in registration to ensure you receive the special rate.
There are literally hundreds of places to eat within a mile of the convention site. These listed restaurants are the 20 highest rated (all getting an average of 4 out of 5 stars) by users of yelp.com.
As with any trip, plan ahead! For traveling within the Los Angeles County, use the Metro Trip Planer as a guide. If traveling from Northern California, San Diego County, or anywhere in-between, consider using Amtrak or Greyhound . Listed below are many of the transit services available within the Greater Los Angeles County.
Stay tuned for more updates to our comprehensive location page!


Last year, I was interested in learning more about the different types of therapies that could help my four year old son with autism. I was pleased to see that Jeena had several different classes that were being held for parents to attend. My husband and I decided to take advantage of the opportunity and signed up for the class. At the meeting we were able to learn a lot of the basics of RDI therapies for Joshua and were interested in learning more. We were later able to attend a more detailed informational series of classes that helped us understand RDI better. At the Jeena location we were given the opportunity to learn from the experienced instructors and also view several slides and videos as well. We had a great experience learning techniques and also being able to socialize and interact with other parents from Jeena. This has truly been a great experience both for my husband and I. Apart from allowing the use of the facility; Jeena had also assisted in paying for more than half the cost of the class for each family. Moreover, Jeena had even arranged for childcare for both my children, including arranging for my son's special needs, in advance. I am really grateful for Jeena where I can approach and mingle with other individuals with the same needs as our family. Classes like these and other fun, networking events organized by Jeena have been invaluable experiences for my family.


text:
The 2000 Acclaim Mosconi Cup, the seventh edition of the annual nine-ball pool competition between teams representing Europe and the United States, took place 14–17 December 2000 at the York Hall in Bethnal Green, London, England.

Team USA won the Mosconi Cup by defeating Team Europe 12–9.

Teams

Results

Thursday, 14 December

Session 1

Friday, 15 December

Session 2

Session 3

Saturday, 16 December

Session 4

Session 5

Sunday, 17 December

Session 6

Session 7

References

External links
 Official homepage

2000
2000 in cue sports
2000 sports events in London
Sport in the London Borough of Tower Hamlets
2000 in English sport
December 2000 sports events in the United Kingdom

redpajama_set_name: RedPajamaWikipedia


text:
Wideman Gold Medalist, SSO team up for Beethoven concert
The Shreveport Symphony Orchestra and Wideman Gold Medalist Mei Li will perform a Beethoven program on Nov. 17.
Wideman Gold Medalist, SSO team up for Beethoven concert The Shreveport Symphony Orchestra and Wideman Gold Medalist Mei Li will perform a Beethoven program on Nov. 17. Check out this story on shreveporttimes.com: https://www.shreveporttimes.com/story/entertainment/music/2018/11/14/shreveport-symphony-orchestra-wideman-gold-medalist-beethoven/1988311002/
Tiana Kennell, Shreveport Times Published 8:00 a.m. CT Nov. 14, 2018
A collection of rare manuscripts by composers Mozart, Beethoven, Shubert and Bizet are due to go on sale at auction on December 17. Video provided by AFP Newslook
Mei LI, was born in Henan, China, and began her piano studies at the age of five. Graduated from the Middle School Affiliated to the China Conservatory. Has given many concerts in national and international festivals. Competition prizes include third prize in the 2011 Steinway International Competition, 5thChina Regional Competition; Second prize in China Conservatory YAMAHA Asian Scholarship and second prize in the Chinese Golden Bell Award for Music National Piano Competition for Young Artists in 2013; and first prize in the National Youth Piano Arts Festival of the "Zhong Yin Cup" in 2014. Mei is also a national third prize winner in MTNA Young Artist Piano Competition in 2017. In 2015, Mei was admitted to the TCU School of Music as a winner of theprestigious Nordan Music Scholarship and currently studies with Dr. Tamas Ungar.(Photo: Courtesy of Wideman International Piano Competition)
Modern classical musicians will take on the works of one of the most famous composers to ever live.
The Shreveport Symphony Orchestra will present the "All Beethoven!" concert at 7:30 p.m. Nov. 17 at First Baptist Church, 543 Ockley Drive in Shreveport.
Wideman Gold Medalist Mei Li will join the SSO to perform Beethoven's Concerto for Piano No. 1.
The program also includes the composer's Overture to Egmont and Symphony No. 1.
SSO's music director Michael Butterman will conduct.
Li was one of two pianists named as Gold Medalists of the 67th Wideman International Piano Competition, to occur in Shreveport last December. Li will perform with the SSO as a part of her winning the top title.
Li, of China, began her journey into the classical music arena when she took up the piano at age 5. Since then, she has honed her skills through extensive training programs leading to her earning accolades in numerous prestigious international competitions.
Ludwig van Beethoven (Photo: FILE PHOTO)
"All Beethoven!" will be the third concert in the SSO season lineup, which includes an array of traditional and contemporary-themed events. The tribute to Ludwig van Beethoven is to show the "fresh" and "young" side of "the music arranged by "a composer who would change the course of music history."
Beethoven's music is well-suited for First Baptist Church, Butterman said, as the size of the hall is similar to those in Vienna in which the composer once presented concerts.
"These are early, youthful works in which we hear him beginning to assert his own compositional voice —something a bit more forceful and aggressive than what had been heard before by the concert-going public," Butterman said.
A pre-concert discussion about Beethoven will begin at 6:40 p.m. at First Baptist.
Concert tickets are available for $15 to $60 by calling (318) 227-8863 or visit shreveportsymphony.com.
Packages for the SSO's 2018-19 season are available, as well. The next scheduled concert will be "Holiday Pops with Brian Stokes Mitchell" — a Tony Award-winning vocalist — 6 p.m. Dec. 16 at The Strand Theatre.
Read or Share this story: https://www.shreveporttimes.com/story/entertainment/music/2018/11/14/shreveport-symphony-orchestra-wideman-gold-medalist-beethoven/1988311002/


Here you can keep up to date with all the latest news from Music and the Deaf.
We are thrilled to announce our new project "4ORTE".
Music and the Deaf's Festive Recital!
On 5th December we held our Festive Recital here at Music and the Deaf!
We are very excited to announce our new project Frequalise.
"A Christmas Treat" from the Yorkshire Music Club!
We have filled our vacancy of Project and Marketing Manager at MatD!
We'd like to welcome Will Hunt as MatD's new Project and Marketing manager.
Yorkshire Music Club dates from September 2015.
The Yorkshire is meeting up again and welcoming new members.
Sponsored by The Hearing Fund Charity.
At last our new website is live…we hope you like it!
Danny and Karen hit the news whilst they were delivering a workshop.
If you are thinking about booking a MatD workshop, talk or training course contact us to discuss your requirements.


text:
\section{Introduction}

Assume $Q$ is a simply-laced Dynkin graph, and $\frg$ is the corresponding simple Lie algebra.
Let $U_q^+$ be the plus part of the quantized enveloping algebra of $\frg$.
It has the PBW type basis which is important in the study of $U_q^+$.
But the the PBW type basis is dependent of the orientation we choose for $Q$.
In \cite{L1}, Lusztig defined the canonical basis of $U_q^+$.
Later, the canonical basis was extended to general case by Lusztig in \cite{L3}
and independently by Kasiwara in \cite{K} called crystal basis.
The canonical basis is parameterized by the irreducible
components of the nilpotent variety of the preprojective
algebra of $Q$ \cite{L2,KS} and is independent of the orientation
we choose for $Q$ and has a lot of good properties. When $q$ limits to $1$,
we get the canonical basis of $U^+$, the plus part of enveloping algebra of $\frg$.
In \cite{L4}, Lusztig defined another basis of $U^+$ called semicanonical basis.
The semicanonical basis doesn't coincide with the canonical basis in general,
but they share some common properties. For example, they are compatible with
various filtrations of $U^+$, compatible with the canonical antiautomorphism of
$U^+$ and projects to a basis of irreducible modules.
It is known that the matrix between the PBW basis and the
canonical basis is upper triangular unipotent (implicit in the proof of the existence of
canonical bases of Lusztig in \cite{L1}).
So we may ask wether the assertion is true for semicanonical basis?
In this paper we show the answer is positive for a special PBW basis of type $A_n$.
That is

\begin{theo} Let $\frg$ be $sl_n(\mathbb{C})$ and $U^+$ be
the universal enveloping algebra of the positive part of $\frg$.
We choose the linear orientation $\overrightarrow{A_n}$ for the
Dynkin graph $A_n$ of $\frg$. Let $\{f_M\}_{M\in \Rep(\overrightarrow{A_n}, V)}$
and $\{P_M\}_{M\in \Rep(\overrightarrow{A_n}, V)}$ be the semicanonical basis
and the PBW basis of $U_V^+$. Then, $f_M=\sum_{M\leq_{deg}N}a_NP_N$ and $a_M=1$.
\end{theo}

The same question was investigated for simply-laced Dynkin type in
\cite{BK}. Here we want to use the representations of quivers to
understand it, and our method is very different and more direct.

This paper is organized as follows: in section 2,
we recall the definition and some facts about the semicaonical basis;
in section 3, we make some preparations and then prove our main result.

{\bf Acknowledgements}\ \  The authors would like to thank professor
Jan.Schr\"{o}er for answering a lots of questions and pointing the
paper of P.Baumann and J.Kamniter. The authors also would like to
thank professor K.Bongartz to provide the proof of lemma 3.3 and
lemma 3.4 below.

\section{Preliminary}

\subsection{Enveloping algebra}
Let $Q$ be a simply-laced Dynkin graph and $Q_0$ be the set of vertices. Let $a_{ij}$ be the minus number
of the edges connecting the vertices $i$ and $j$ if $i\neq j$ and $a_{ii}=2$. Then we get a Cartan datum.
The algebra $U^+$ is the associative algebra over $\mathbb{C}$ generated by $\{e_i\}_{i\in Q_0}$ with Serre relations

\[\sum_{p,q\in \mathbb{N};p+q=-a_{ij}+1}(-1)^p\frac{e_i^p}{p!}e_j\frac{e_j^q}{q!}=0\]
for $i\neq j$.

Let $V=\bigoplus_{i\in Q_0}V_i$ be a $Q_0$-graded vector space. We write $|V|=\sum_i\Dim V_i i\in \mathbb{N}[Q_0]$.
Let $U_V^+$ be the subspace of $U^+$ generated by the monomials $e_{i_1}e_{i_2}\cdots e_{i_n}$ for various
sequence $i_1, i_2, \cdots, i_n$ in which $i$ appears $\Dim V_i$ times for any $i\in Q_0$. This gives a grade of $U^+$.

\subsection{Preprojective algebra}
We choose an orientation for $Q$, then $Q=(Q_0, Q_1)$ became a Dynkin quiver of ADE type, where $Q_0$ is
the set of vertices and $Q_1$ is the set of arrows. Given an arrow $\alpha$, we denote by $s(\alpha)$ the
start point of $\alpha$ and by $t(\alpha)$ the end point of $\alpha$. Let $\overline{Q}$ be the double quiver of $Q$,
which is obtained from $Q$ by adding an arrow $\alpha^\ast: j\rightarrow i$ whenever there is an arrow $\alpha: i\rightarrow j$ in $Q$.
Let $Q_1^*=\{\alpha^*| \alpha\in Q_1\}$ and $\overline{Q}_1=Q_1\cup Q_1^*$. The preprojective algebra associated with $Q$ is defined as

\[\Lambda=\Lambda_Q=K\overline{Q}/(c_i)_{i\in Q_0}\]
where $c_i$ is the relation

\[c_i=\sum_{\alpha\in \overline{Q}_1, s(\alpha)=i}(\alpha^\ast\alpha)\]
and $K\overline{Q}$ is the path algebra of $\overline{Q}$. Note that the preprojective algebra is independent of the orientation of $Q$.

\subsection{Representation variety}
Given a quiver $Q$, let $V=\bigoplus_{i\in Q_0}V_i$ be a $Q_0$-graded vector space.
Let $\Rep(Q, V)=\prod_{h\in Q_1}\Hom_k(V_{s(h)}, V_{t(h)})$ be the representation variety of the quiver $Q$.
There is an action of algebraic group $G_V=\prod_{i\in Q_0}GL(V_i)$ on $\Rep(Q, V)$ which is defined by $g\cdot x=(g_{t(h)}x_hg_{s(h)}^{-1})$.
Let $M\in \Rep(Q,V)$, we denote $\mathcal {O}_M$ the orbit of $M$ under the action of $G_V$.
We denote by $\Lambda_V$ the nilpotent variety of the preprojective algebra $\Lambda$,
that is the elements $(x_h)$ of $\Rep(\overline{Q}, V)$ satisfying: (1) for all $i\in Q_0$,
$\sum_{h\in Q_1, s(h)=i}x_{h^*}x_{h}=\sum_{h\in Q_1, t(h)=i}x_{h}x_{h^*}$; (2) there is
an integer $N$ such that for any sequence $h_1, h_2, \cdots, h_n$ with $n\geq N$ in $\overline{Q}_1$,
the $x_{h_n}\cdots x_{h_2}x_{h_1}$ is zero. There is a functor $\pi_Q$ from $\Lambda_V$ to $E_Q$ which
sends $x_h$ to $x_h$ when $h\in Q_1$ and to zero when $h\in Q_1^*$.

For Dynkin case, it was proved that $\Lambda_V$ is just all the $\Lambda$-modules with
underlying vector space $V$ in \cite{L3}. Let $\irr~\Lambda_V$ be the set of the irreducible components
of $\Lambda_V$. It is known that every element of $\irr~\Lambda_V$ is of the form $\overline{\pi_Q^{-1}(\mathcal{O}_M)}$
where $M$ is the element of $\Rep(Q, V)$ and $\overline{\pi^{-1}(\mathcal{O}_M)}$ means the
closure of $\pi_Q^{-1}(\mathcal{O}_M)$ in the variety $\Lambda_V$ \cite{L3}. So we denote the
irreducible component of $\Lambda_V$ by $Z_M$ where $M$ means an isomorphism class in $\Rep(Q, V)$.
The affine space $\Rep(Q, V)$ is a subset of $\Lambda_V$ and it is an irreducible component of $\Lambda_V$.

Let
\[\Lambda_{V,i,p}=\{(x_h)\in \Lambda_V\ |\ \codim_{V_i}(\sum_{h\in\overline{Q_1}, t(h)=i}\Img~(x_h:V_{s(h)}\rightarrow V_i))=p\}.\]
For $i\in Q_0$ and $Z\in \irr~\Lambda_V$, there is a unique $p$ such that $\Lambda_{V,i,p}\cap Z$ is
open dense in $Z$. Set $t_i(Z)=p$. This is a function from $\irr~\Lambda_V$ to $\mathbb{N}$ defined by Lusztig
in \cite{L4}. Similarly, for $M\in \Rep(Q,V)$, we define $t_i(M)=\codim_{V_i}(\sum_{h\in Q_1, t(h)=i}\Img(x_h:V_{s(h)}\rightarrow V_i))$.

Let $x\in \Lambda_{V,i,p}$. Then there is a unique subrepresentation $x'$ of $x$ such that $x'\in \Lambda_{V',i,0}$, where $|V|=|V'|+pi$.
This was proved in \cite[12.5]{L4}.

\subsection{Semicanonical basis and PBW basis}
A subset of an affine variety  is called constructible if it is a finite union of locally closed subsets. A function from an
affine variety to a vector space is called constructible if the image set is finite and the converse image of a point is a constructible subset.

Let $\widetilde{\mathcal{M}}_V$ be the vector space of constructible functions from $\Lambda_V$ to $\mathbb{C}$ which is
constant on the same orbit and let $\widetilde{\mathcal{M}}=\bigoplus_V \widetilde{\mathcal{M}}_V$. Then $\widetilde{\mathcal{M}}$
becomes an associative algebra under the product $\ast$ defined below.
Let $|V|=|V'|+|V''|$, $f\in \widetilde{\mathcal{M}}_{V'}, g\in \widetilde{\mathcal{M}}_{V''}$ and $x\in \Lambda_{V}$, define

\[(f\ast g)(x)=\int_{x''}f(x/x'')g(x'')\]
where $x''$ is the subrepresentation of $x$ with underlying vector space $V''$.

We denote by $S_i$ the simple representation corresponding to vertices $i$ and $1_i$ the function
which maps $\mathcal {O}_{S_i}$ to 1. Let $\mathcal{M}$ be the subalgebra of $\widetilde{\mathcal{M}}$
generated by $\{1_i\}$, then there is an algebra isomorphism $\Phi$ between $\mathcal{M}$ and $U^+$ which sends $1_i$ to $e_i$ \cite[12.13]{L3}.

Let $f\in \widetilde{\mathcal{M}}$. For each $Z_M\in \irr~\Lambda_V$, there is a unique $c\in \mathbb{Q}$
such that $f^{-1}(c)\cap Z_M$ contains an open dense subset of $Z_M$. We denote the function sending $f$ to $c$ by $\rho_{Z_M}$.

\begin{theo}[Lusztig] Let $Z\in \rm Irr~\Lambda_V$. There exists $f\in \mathcal{M}_V$ such that $\rho_Z(f)=1$
and $\rho_{Z'}(f)=0$ for any $Z'\in\rm Irr~\Lambda_V-\{Z\}$. This is a basis of $\mathcal{M}_V$.
\end{theo}

The basis $\{f_Z\}$ is called the semicanonical basis of $\mathcal{M}_V$ and its image under $\Phi$ is called
the semicanonical basis of $U^+_V$ \cite{L4}. We will identify them from now on and denote them both by $B_V$.
Then $B=\cup_VB_V$ is called the semicanonical basis of $U^+$. For the Dynkin case, we also write $\{f_M\}$
for $\{f_{Z_M}\}$. Although the semicanonical basis is independent of the choice of orientation of the quiver,
the parametrization of the semicanonicl basis depents on, thus our denotation can't lead to misunderstanding.

For a Dynkin quiver $Q$, Ringel showed that the algebra $U^+$ has a basis parameterized by the isomorphism classes
of representations of the quiver, which is called PBW basis and we denote it by $\{P_M\}$,
see \cite{S}. In \cite[5.9]{GLS}, Gei\ss, Leclerc and Schr\"{o}er describe them in $\mathcal{M}$:

\begin{lem} Let $\mathcal{O}$ be a $G_V$-orbit in $\rm Rep(Q,V)$. There exists a unique $\mathcal{K}_{\mathcal{O}}\in \mathcal{M}$
whose restriction to $\rm Rep(Q,V)$ is the characteristic function of $\mathcal{O}$.
The collection of all $\mathcal{K}_{\mathcal{O}}\in \mathcal{M}$ where $\mathcal{O}$
runs through all $G_V$-orbit in $\rm Rep(Q,V)$ is equal to $\Phi^{-1}(\{P_M\})\cap \mathcal{M}$.
\end{lem}

In other words, we can identify the elements of PBW basis with the characteristic functions of the orbits in $\Rep(Q,V)$.

\subsection{Some geometry of representations of finite dimensional algebras}

This subsection is just a copy of the material in \cite{B1}.

Let $A$ be a finite dimensional associated $k$-algebras with basis $a_1=1, \cdots, a_n$.
We have the corresponding structure constants $a_{ijk}$ defined by $a_ia_j=\sum a_{ijk}a_k$.
The affine variety $Mod^d_A$ of $d$-dimensional $A$-modules is given by the $n$-tuples $m=(m_1,\cdots,m_n)$ of $d\times d$-matrices
such that $m_i$ denotes the action of $a_i$ and they satisfy $m_im_j=\sum a_{ijk}m_k$ for all $i$ and $j$.
Let $Gl_d(k)$ be the $d^2$ dimensional general linear group which acts on $Mod^d_A$ by conjugation. The orbits correspond
to the isomorphism classes of $d$-dimensional modules.

Let $r$, $t$ and $s=r+t$ be three natural numbers. Let $\mathcal{U}$ be an irreducible subvariety of $Mod^r_A$ and $\mathcal{V}$
be an irreducible subvariety of $Mod^t_A$. The space of 1-cocycles is the tuples $z=(0,z_2,\cdots,z_n)$ in $k^{r\times t}$
such that $\sum a_{ijk}z_k=u_iz_j+z_iv_j$ holds for all $i$ and $j$. Thus $Z(v,u)$ is the set of solutions of a system of
homogeneous linear equations whose coefficients depend polynomially on the entries of $u$ and $v$.
Therefore, the map $(v,u)\rightarrow \Dim Z(v,u)$ is upper semi-continuous. Let $B(v,u)$
be the subspace of coboundaries which is the image of the linear map from $k^{r\times t}$ to $Z(v,u)$
sending $h$ to the tuple with the $i$th entry $hv_i-u_ih$. Because $\Ext_A^1(V,U)=Z(V,U)/B(V,U)$, we have

\begin{eqnarray}\Dim\ Z(V,U)&=&\Dim~\Ext_A^1(V,U)+\Dim\ B(V,U)\\
                            &=&\Dim~\Ext_A^1(V,U)-\Dim~\Hom_A(V,U)+rt.
\end{eqnarray}
Thus $\Dim Z(V,U)$ is constant if and only if $\Dim~\Ext_A^1(V,U)-\Dim~\Hom_A(V,U)$ is. In this case, we have a vector bundle
\[ p:\mathcal{L}\rightarrow \mathcal{U}\times\mathcal{V}\]
with irreducible total space

\[ \mathcal{L}=\left\{\left(\begin{array}{cc}u&z\\0&v\end{array}\right)\bigg|u\in \mathcal{U}, v\in \mathcal{V}, z\in Z(v,u)\right\}.\]
The image $\mathcal{L}'$ of the conjugation

\[Gl_s\times\mathcal{L}\rightarrow Mod^s_A \]
is the irreducible constructible set of all extensions of some $V$ in $\mathcal{V}$ by some $U$ in $\mathcal{U}$.

\section{Main result}

In this section we set $\frg=sl_{n+1}(\mathbb{C})$, then the Dynkin graph of $\frg$ is of type A. Let $\overrightarrow{A_n}$ be the quiver as follows:

$$\xymatrix{1\ar[r]&2\ar[r]&\cdots\ar[r]&n-1\ar[r]&n}.$$

Let $\Lambda$ be a finite dimensional algebra and $M,N\in \Mod\ \Lambda$. We say $M$ degenerate to $N$ and
denote by $M\leq_{deg}N$, if $\mathcal{O}_N\subset\overline{\mathcal{O}}_M$. This is a partial order of $\Rep(V,Q)$,
see \cite{B1}. There is also another partial order $\leq$ define as follows. $M\leq N$
if and only if $\Dim\ \Hom(M,L)\leq \Dim\ \Hom(N,L)$ for any $\Lambda$-module $L$. In general,
we can deduce $M\leq N$ from $M\leq_{deg}N$, and the converse is not true. But for direct algebras,
especially path algebras, $\leq$ and $\leq_{deg}$ are equivalent, see \cite{B2}.

Let $A=k\overrightarrow{A_n}$ be path algebra of $\overrightarrow{A_n}$ over an algebraic closed field $k$,
then the elements of $\Rep(\overrightarrow{A_n},V)$ can be viewed as $A$-modules and we will not distinguish them.

\begin{lem} $t_n(Z_M)=t_n(M)$

\end{lem}

\begin{proof} Since $n$ is the sink point of $\overrightarrow{A_n}$, it is the source point of $\overrightarrow{A_n}^{op}$.
For any $M'\in \pi^{-1}(\mathcal{O}_M) $,

\[t_i(M')=\codim(\Img(x_h:V_{n-1}\rightarrow V_n))=t_i(M)\]

So $\Lambda_{V,n,t_n(M)}\cap Z_M$ contains $\pi^{-1}(\mathcal{O}_M)$ and must contain an open dense subset. So $t_n(Z_m)=t_n(M)$.

\end{proof}

\begin{lem}
           If $t_{i+1}(M)=0$, then $t_i(Z_M)=t_i(M)$
\end{lem}

\begin{proof} The local part of $M$ looks as follows

\[\UseAllTwocells
\xymatrix@=20mm{V_{i-1}\rtwocell<2>^{x_{h_1}}_{x_{h_1^*}}{'}&V_i\rtwocell<2>^{x_{h_2}}_{x_{h_2^*}}{'}&V_{i+1}}.\]
Let $M'\in \pi^{-1}(\mathcal{O}_M) $.
By the relation of preprojective algebras, we have $x_{h_1}x_{h_1^*}+ x_{h_2^*}x_{h_2}=0$. Since $x_{h_2}$ is surjective,
we deduce $\Img x_{h_2^*}\subset \Img x_{h_1}$. By the definition, $t_i(M')=\codim(\Img x_{h_1})=t_i(M)$.
So $\Lambda_{V,i,t_i(M)}\cap Z_M$ contains $\pi^{-1}(\mathcal{O}_M)$ and must contain an open dense subset. So $t_i(Z_M)=t_i(M)$.
\end{proof}

The following two lemmas are proved by K.Bongartz and they hold for any Dynkin quivers not only our choice.

\begin{lem}
Let $M$ be an $A$-module and $S$ a simple $A$-module. Set
$S^m=\oplus_{i=1}^mS$. Let $\mathcal{T}$ be the set of all the
A-modules $N$ such that there is an exact sequence $0\rightarrow
M\rightarrow N\rightarrow S^m\rightarrow 0$. Then there is a module
$L$ such that all the other modules in $\mathcal{T}$ is a
degeneration of $L$ .
\end{lem}

\begin{proof}

Let $r$ be the total dimension of $M$ and let $t$ be the total dimension of $S^m$ and set $s=r+t$.
Now, we take for $\mathcal{U}$ the orbit of $M$ and for $\mathcal{V}$ the orbit of $S^m$ in section 2.5.
Then $\mathcal{L}'$ is irreducible because the space of cocycles has constant dimension for obvious reasons (formula (2.2)).
Since the irreducible set $\mathcal{L}'$ is a finite union of orbits - $A$ is representation-finite - there is a dense orbit. This is the wanted module $L$.

\end{proof}

We call the module $L$ in the lemma the generic extension of $S^m$ by $M$.

\begin{lem}Let $U\leq_{deg}W$. Set $S$ is a simple $A$-module and $S^m=\oplus_{i=1}^mS$
and there is an exact sequence $0\rightarrow W\rightarrow N\rightarrow S^m\rightarrow 0$,
then there is an exact sequence $0\rightarrow U\rightarrow M\rightarrow S_i^m\rightarrow 0$ such that $M\leq_{deg}N$.

\end{lem}

\begin{proof}
 We take for $\mathcal{U}$ the closure of the orbit of $U$ and for $\mathcal{V}$ the orbit
 of $S^m$ again, then $W\in \mathcal{U}$ and $N\in \mathcal{L}$. because $A$ is hereditary,
 $\Dim~\Ext_A^1(V,U)-\Dim~\Hom_A(V,U)$ is determined by the dimension vectors of $V$ and $U$,
 then the space of cocycles has constant dimension. Again there is a dense orbit in $\mathcal{L}'$
 because $\mathcal{L}'$ is a finite union of orbits. Call this module $M$. The orbit of $M$ is open
 and so is its non-empty intersection $F$ with $\mathcal{L}$. Since the bundle-projection $p$
 from $\mathcal{L}$ to $\mathcal{U}$ is an open map and since $\mathcal{U}$ is irreducible,
 the image $p(F)$ and the orbit of $U$ ( which is open in $U$ ) intersect. Then $M$ is an extension of $S^m$ by $U$. Thus $M$ is the wanted module.

\end{proof}

Let $Z_M\in\irr~\Lambda_V$ and $t_i(Z)=p$. Then
$Z=Z_M\cap\Lambda_{V,i,p}\in \irr~\Lambda_{V,i,p}$. Given $x\in Z$,
there is a unique submodule $x'$ of $x$ such that $x/x'\cong S_i^p$.
Denote the orbit of $x'$ by $O(x)$, then $Z'=\cup_{x\in Z_M}O(x)\in
\irr~\Lambda_{V',i,0}$ and $Z=\{x\in \Lambda_{V,i,p}|O(x)\in Z'\}$.
This gives a bijection between $\irr~\Lambda_{V,i,p}$ and
$\irr~\Lambda_{V',i,0}$, see \cite[2.3]{L4}. The closure of $Z'$ in
$\Lambda_{V'}$ is an irreducible component of $\Lambda_{V'}$ and can
be written as $Z_{M'}$. It is obvious that $M'$ is a submodule of
$M$, and $M/M'\cong S_i^p$.

\begin{lem}

Let $M$ be an $A$-module with $t_i(M)=m$, $t_{i+1}(M)=0$. Set $Z_{M'}\in \rm Irr~\Lambda_{V'}$
with $t_i(Z_{M'})=0$ corresponding to $Z_M$. Then $M$ is the generic extension of $S_i^m$ by $M'$.

\end{lem}

\begin{proof}

By Lemma 3.2, $t_i(Z_M)=t_i(M)=m$. By the description above, $M$ is an extension of $S_i^m$ by $M'$.
Now $t_{i+1}(M)=0$ means that $M$ is the generic extension and we will explain the reasons.

Let $M'$ be the representation with the local part of $i$ as follows:

\[\xymatrix@C=3cm@R=2cm{V_{i-1}\ar[r]^{x_1}&V_i\ar[r]^{x_2}&V_{i+1}},\]

Then any extension $N$ of $M'$ by $S_i^m$ is of the form

\[\xymatrix@C=3cm@R=2cm{V_{i-1}\ar[r]^{\scriptsize \left(\begin{array}{cc}x_1&0\end{array}\right)}&V_i\oplus V'_i\ar[r]^{\scriptsize
\left(\begin{array}{c}x_2\\x'_2\end{array}\right)}&V_{i+1}}.\]

If $t_{i+1}(N)=0$, then ${\rm rank}\scriptsize \left(\begin{array}{c}x_2\\x'_2\end{array}\right)=\Dim V_{i+1}$.
If $ \scriptsize \left(\begin{array}{c}x_2\\x''_2\end{array}\right)$ is another matrix with rank $\Dim V_{i+1}$,
then we can find an invertible matrix $\scriptsize \left(\begin{array}{cc}I&0\\h_2&h_3\end{array}\right)$ such
that $\scriptsize \left(\begin{array}{cc}I&0\\h_2&h_3\end{array}\right)\left(\begin{array}{c}x_2\\x''_2\end{array}\right)
=\left(\begin{array}{c}x_2\\x'_2\end{array}\right)$. So we have the communicative diagram

\[\xymatrix@C=3cm@R=2cm{V_{i-1}\ar[r]^{\scriptsize \left(\begin{array}{cc}x_1&0\end{array}\right)}\ar[d]^{id}&V_i
\oplus V'_i\ar[r]^{\scriptsize \left(\begin{array}{c}x_2\\x'_2\end{array}\right)}\ar[d]_{\scriptsize \left(\begin{array}{cc}
I&0\\h_2&h_3\end{array}\right)}&V_{i+1}\ar[d]^{id}\\
 V_{i-1}\ar[r]^{\left(\begin{array}{cc}x_1&0\end{array}\right)}&V_i\oplus V'_i\ar[r]^{\scriptsize \left(\begin{array}{c}x_2\\x''_2\end{array}\right)}&V_{i+1}
}.\]

Then it is easy to see that under the sense of isomorphism, there is only one extension $N$ of $S_i^m$ by $M'$ such that $t_{i+1}(N)=0$.

For any extension $L$ of $S_i^m$ by $M'$ with $t_{i+1}(L)>0$, we have $0=\Dim\ \Hom_A(M,S_i)<\Dim\ \Hom_A(L,S_i)$. So $L$ can't degenerate to $M$.
By the existence of generic extension of Lemma 3.3., we see that $M$ is the generic extension.

\end{proof}

\begin{lem} Let $M$ be an $A$-module with $t_i(M)=m>0$, $t_{i+1}(M)=0$. Set $Z_{M'}\in \rm Irr~\Lambda_{V'}$ with $t_i(Z_{M'})=0$
corresponding to $Z_M$. Then $\widetilde{f}_M=1_{S_i^m}*P_{M'}$ can be written as the linear combination of $\{P_N\}_{M\leq_{deg} N}$
and the coefficient of $P_M$ is 1.
\end{lem}

\begin{proof}

By the definition of $\widetilde{f}_M$, $\widetilde{f}_M(N)\neq0$ if and only if there is an exact
sequence $0\rightarrow M'\rightarrow N\rightarrow S_i^m\rightarrow 0$. By Lemma 3.5, $M$ is the
generic extension of $S_i^m$ by $M'$, So $M\leq_{deg}N$. Then by Lemma 2.1, $\widetilde{f}_M=1_{S_i^m}*P_{M'}$
can be written as the linear combination of $\{P_N\}_{M\leq_{deg}N}$. It is obvious that $\widetilde{f}_M(M)=1$, so the coefficient of $P_M$ is 1.

\end{proof}

\begin{lem}

Let $M$ be an $A$-module with $t_i(M)=m>0$, $t_{i+1}(M)=0$. Set
$Z_{M'}\in \rm Irr~\Lambda_{V'}$ with $t_i(Z_{M'})=0$ corresponding
to $Z_M$. Let $M'\leq_{deg}M''$, then $1_{S_i^m}*P_{M''}$ can be
written as the linear combination of $\{P_N\}_{M\leq_{deg}N}$.

\end{lem}

\begin{proof} $1_{S_i^m}*P_{M''}(N)\neq 0$ if and only if $N$ is an extension of $S_i^m$ by $M''$.
By Lemma 3.4, $M\leq_{deg} N $ because $M$ is the generic extension of  $S_i^m$ by $M'$. Then the lemma follows from lemma 2.1.

\end{proof}

Let $M$ be an $A$-module. Assume $0\subset M_k\subset M_{k-1}\subset\cdots\subset M_1\subset M_0=M$
is a submodule flag of $M$ such that $M/M_1\cong S_{i_1}^{m_1}, M_j/M_{j+1}\cong S_{i_j}^{m_j}$ and
for every $1\leq j\leq k-1$, $M_j$ is the generic extension of $S_{i_j}^{m_j}$ by $M_{i_{j+1}}$.
We call such a flag generic flag and denote it by $(M, S_{i_1}^{m_1},\cdots,S_{i_k}^{m_k})$.
If $M_k=S_{i_k}^{m_k}$, we say the flag is total.

\begin{lem} Let $M$ be an $A$-module and $(M, S_{i_1}^{m_1},\cdots,S_{i_k}^{m_k})$
be any generic flag of $M$. If $\rho_{Z_N}(1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*f_{M_k})\neq 0$, then $M\leq_{deg}N$.
\end{lem}

\begin{proof}

If $\dim M=1$ or $M$ is semisimple, it is easy to check. Now, assume the assertion is true
for all $L$ such that $\dim L<\dim M$ or $M\leq_{deg}L$ and assume that $M\nleqslant_{deg}N$

Set $t_{i_{k+1}}(M_k)=m_{k+1}>0, t_{i_{k+1}+1}(M_k)=0$ and $Z_{M_{k+1}}\in \irr~\Lambda_{V_{k+1}}$
with $t_{i_{k+1}}(Z_{M'})=0$ corresponding to $Z_{M_k}$, then $M_{k}$ is the generic extension
of $S_{i_{k+1}}^{m_{k+1}}$ by $M_{k+1}$ by lemma 3.5. By the construction of Lusztig \cite[the proof of Lemma 2.2]{L4}, we have

\[f_{M_k}=1_{S_{i_{k+1}}^{m_{k+1}}}*f_{M_{k+1}}-\sum_{Z_L\in \irr(\Lambda_{V}), t_i(Z_L)>m}\rho_{Z_L}(1_{S_{i_{k+1}}^{m_{k+1}}}*f_{M_{k+1}})f_{L}.\]
By the induction hypothesis,
\begin{eqnarray*} 1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*f_{M_k}&=&1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*(1_{s_{i_{k+1}}^{m_{k+1}}}*f_{M_{k+1}}\\
&&- \sum_{M_{k+1}\leq_{deg}X}a_Xf_X)\\
&=&1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*1_{s_{i_{k+1}}^{m_{k+1}}}*f_{M_{k+1}}\\
&&- 1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*\sum_{M_{k}\leq_{deg}X}a_Xf_X,
\end{eqnarray*}
where $a_X=\rho_{Z_X}(1_{S_{i_{k+1}}^{m_{k+1}}}*f_{M_{k+1}})$.

We set $(\overline{X}, S_{i_1}^{m_1},\cdots,S_{i_k}^{m_k})$ is the generic flag of $\overline{X}$
with $0\subset X\subset X_{k-1}\subset\cdots\subset X_1\subset \overline{X}$.

By lemma 3.4, we have $M\leq_{deg}\overline{X}$. Thus $\overline{X}\nleqslant_{deg}N$. By hypothesis,
$\rho_{Z_N}(1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*\sum_{M_{k+1}\leq_{deg}X}a_Xf_X)=0$.
So, we have $\rho_{Z_N}(1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*1_{s_{i_{k+1}}^{m_{k+1}}}*f_{M_{k+1}})\neq 0$.
Recursively, we get that $\rho_{Z_N}(1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*1_{s_{i_{n}}^{m_{n}}})\neq 0$,
where $(M, S_{i_1}^{m_1},\cdots,S_{i_n}^{m_n})$ is a total generic flag of $M$.

Then there is a dense subset $\mathcal{S}$ of $Z_N$ such that
the value of $1_{s_{i_1}^{m_1}}*\cdots*1_{s_{i_k}^{m_k}}*1_{s_{i_{n}}^{m_{n}}}$ on $\mathcal{S}$
is a nonzero constant and $\pi(\mathcal{S})$ is $\mathcal{O}_N$. For any $Y\in\mathcal{S}$,
there is a flag $0\subset Y_n\subset\cdots\subset Y$ of $Y$ such that $Y_j/Y_{j+1}=S_{i_j}^{m_j}$
for all $1\leq j\leq n-1$ and $Y_n=S_{i_n}^{m_n}$. we have $N$ also has such a flag because
any flag of $Y$ is a flag of $N$. Thus $M\leq_{deg} N$.
\end{proof}

\begin{remark} For our choice of $A$, any $A$-module $M$ has a total generic flag. In fact,
there always exists $i$ such that $t_i(M)=m>0$ and $t_{i+1}(M)=0$, then by lemma 3.5,
there is a submodule $M'$ such that $M$ is the generic extension of $S_i^m$ by $M'$.
Recursively, we can find a total generic flag of $M$.
\end{remark}

Now we can prove our main theorem.

\begin{theo} Let $\frg=sl_{n+1}(\mathbb{C})$ and $U^+$ be the positive part of the
universal enveloping algebra of $\frg$. We choose the linear orientation $\overrightarrow{A_n}$
for the Dynkin graph $A_n$ of $\frg$. Let $\{f_M\}_{M\in \Rep(\overrightarrow{A_n}, V)}$
and $\{P_M\}_{M\in \Rep(\overrightarrow{A_n}, V)}$ be the semicanonical basis and the PBW basis of $U_V^+$.
Then, $f_M=\sum_{M\leq_{deg}N}a_NP_N$ and $a_M=1$.
\end{theo}

\begin{proof}

We induct on the dimension of $V$. If $\Dim\ V=1$, the result is trivial.
We assume the result is right for $\Dim\ V\leq n$. For $\Dim\ V= n+1$, Let $M\in \Rep(V, Q)$,
we can always find a vertex $i$ such that $t_i(M)=m>0$ and $t_{i+1}(M)=0$ (just check from $n$).
If $M$ is semisimple, we can easily verify $f_M=P_M$. In fact, we assume $M=\oplus_{i\in Q_0}S_i^{r_i}$.
By Lusztig's construction \cite[the proof of Lemma 2.2]{L4}, $f_M=1_{S_n^{r_n}}*f_{M'}$ where $M'=M/S_n^{r_n}$,
by the induction we get $f_M=1_{S_n^{r_n}}*\cdots*1_{S_1^{r_1}}=P_M$. So we can assume the theorem is true for all $L$ such that $M\leq_{deg}L$.

Set $Z_{M'}\in \irr~\Lambda_{V'}$ with $t_i(Z_{M'})=0$ corresponds to $Z_M$. By the construction of Lusztig \cite[the proof of Lemma 2.2]{L4},

\[f_M=1_{S_i^m}*f_{M'}-\sum_{Z_L\in \irr(\Lambda_{V}), t_i(Z_L)>m}\rho_{Z_L}(1_{S_n^m}*f_{M'})f_{L}.\]
By the induction, $f_{M'}=\sum_{M'\leq_{deg}N'}b_{N'}P_{N'}$ with $b_{M'}=1$. From Lemma 3.6 and Lemma 3.7,
we get $1_{S_i^m}*f_{M'}=\sum_{M\leq_{deg}N}c_{N}P_{N}$ with $c_{M}=1$. From Lemma 3.8, we know

\[\sum_{Z_L\in \irr(\Lambda_{V}), t_i(Z_L)>m}\rho_{Z_L}(1_{S_n^m}*f_{M'})f_{L}=\sum_{Z_L\in \irr(\Lambda_{V}),
M\leq_{deg}L, t_i(Z_L)>m}\rho_{Z_L}(1_{S_n^m}*f_{M'})f_{L}.\]

By the second induction hypothesis, $f_{L}$ can be written as the linear combination of $P_{L'}$
where $L\leq_{deg}L'$. Because $M\leq_{deg}L$, we get $f_M=\sum_{N\leq_{deg}M}a_NP_N$ and $a_M=1$.

\end{proof}

We can refine the partial order $\leq_{deg}$ to an total order. It is easy to get the follow Corollary.

\begin{cor}
 Let $\frg=sl_{n+1}(\mathbb{C})$ and $U^+$ be the positive part of the universal enveloping algebra of $\frg$.
 We choose the linear orientation $\overrightarrow{A_n}$ for the Dynkin graph $A_n$ of $\frg$.
 Then the matrix between the PBW bases of type $\overrightarrow{A_n}$ and the semicanonical bases is
 upper triangular unipotent under any order which is compatible with the partial order $\leq_{deg}$.
\end{cor}

\section{Example}

Let $Q$ and its double quiver $\overline{Q}$ as follows:

\[\xymatrix{Q :&1\ar[r]&2},  \ \ \ \ \ \ \UseAllTwocells\xymatrix{\overline{Q}: &1\rtwocell<2>_\alpha^\beta{'}&2}\]

\renewcommand\arraycolsep{0.1cm}
\newcommand{\one}{\begin{array}{c}2\vspace{-10pt}\\1\end{array}}
\newcommand{\two}{\begin{array}{c}1\vspace{-10pt}\\2\end{array}}

Set $V=V_1\oplus V_2$, $\Dim V_1=\Dim V_2=2$. There are three nonisomormphism representations in $\Rep(Q,V)$,
namely, $M_1=1^2\oplus 2^2$, $M_2=1\oplus\two\oplus 2$, $M_3=\two\oplus\two$. We have $M_1\leq_{deg}M_2\leq_{deg}M_3$, so we order them $M_3<M_2<M_1$.

We have

$Z_{M_1}=\overline{\pi^{-1}(\mathcal{O}_{M_1})}=\mathcal{O}_{\scriptsize{\one}\oplus 1
\oplus 2}\cup\mathcal{O}_{1^2\oplus 2^2}\cup\mathcal{O}_{\scriptsize{\one}\oplus \scriptsize{\one}}$

$Z_{M_2}=\overline{\pi^{-1}(\mathcal{O}_{M_2})}=\mathcal{O}_{\scriptsize{\one}\oplus 1\oplus 2}\cup
\mathcal{O}_{\scriptsize{\one}\oplus \scriptsize{\two}}\cup\mathcal{O}_{1^2\oplus 2^2}\cup\mathcal{O}_{\scriptsize{\two}\oplus 1\oplus 2}$

$Z_{M_3}=\overline{\pi^{-1}(\mathcal{O}_{M_3})}=\mathcal{O}_{\scriptsize{\two}\oplus 1\oplus 2}
\cup\mathcal{O}_{\scriptsize{\two}\oplus \scriptsize{\two}}\cup\mathcal{O}_{1^2\oplus 2^2}$

It is easy to calculate the semicanonical basis from the definition:

$f_{M_1}=\frac{1}{4}(1_2^2*1_1^2)$, $f_{M_2}=\frac{1}{2}(1_2*1_1*1_1*1_2)$, $f_{M_3}=\frac{1}{4}(1_1^2*1_2^2)$.

It is easy to see that

$f_{M_1}=P_{M_1}$, $f_{M_2}=P_{M_2}+2P_{M_1}$, $f_{M_3}=P_{M_1}+P_{M_2}+P_{M_3}$.

So, the matrix between $(f_{M_3}, f_{M_2}, f_{M_1})$ and $(P_{M_3}, P_{M_2}, P_{M_1})$ is upper triangular unipotent.

redpajama_set_name: RedPajamaArXiv


text:
Pratyay Ghosh
7: He joined the National Guard when he was 17
Brock signed up for the National Guard at 17 years of age
Brock Lesnar joined the National Guard when he was 17 after a military recruiter came to his school and got him and his buddy to sign up. What brought The Beast's military career to a screeching halt?
Brock wanted to be in the thick of the action, in the heat of the battle and to work with explosives but instead, he was saddled with a desk job which led him to quit and begin training as a wrestler. Yeah, it's hard to visualize Brock Lesnar as some sort of clerk in the military sitting behind a desk.
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Which WWE Superstar will kill the legend of Brock Lesnar?
5 Twists In Brock Lesnar's Draft Pick
10 things you probably didn't know about Chris Benoit
5 bizarre backstage stories about Brock Lesnar that fans need to know about


After a piece of software, an application or a game is localized, there's still more work to be done on it – localization testing (sometimes called linguistic quality assurance). This service allows users to enjoy a high quality localization of your game rather than a mash of letters.
The texts are uploaded into the program after the full lockit is translated. It is important to check whether they have imported correctly and are displayed properly. Do windows, buttons or other UI elements overlap? Are there untranslated segments? How well does the text correspond to what the user sees on the screen? And of course, there shouldn't be any spelling, grammar or other mistakes!
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redpajama_set_name: RedPajamaGithub


New Delhi: The Wadia family is evaluating proposals to sell a stake in GoAir Pvt. Ltd, a low-fare carrier. "We are still vetting these proposals, we have not made a decision," Jeh Wadia, the Mumbai-based airline's managing director, said at a news conference in New Delhi on Thursday, without providing details.
The family may sell "potentially up to 26%. It depends on many terms and many conditions," he added.
Indian low-fare carriers are seeking alliances or merging to reduce costs. At least five airlines have started in the past four years, lured by a market that may grow 25% annually until the end of the decade.
"We are not in a hurry to choose a partner," said Wadia. "Once as shareholders we have created value for us first, then only will we take it to public shareholders and other private shareholders. We want to demonstrate we have created value."
The Wadia Group fully owns GoAir, Wadia said. The group owns businesses ranging from the airline, GoAir, to chemicals, National Peroxide Ltd., to plantations, the Bombay Burmah Trading Corp., to cookie maker Britannia Industries Ltd., according to the group's website.
GoAir, which had five aircraft, on Thursday took delivery of its sixth aircraft — an Airbus SAS A320, it said in a news release.
The company's fleet size will increase to 34 by March 2011, Wadia said, lower than its earlier target of 50. "We decided to scale down growth plans in order to allow infrastructure to develop. We have to be reasonable," said Wadia. "This is a marathon. We are not running a 100-meter dash."
Budget airlines account for 20% of all seats on sale worldwide, compared with 17% a year earlier.


text:
Phantom Limb
Loraine James: the art of instinct
Innovative London producer, live act and Hyperdub affiliate Loraine James has forged her own path with a personal sound that blends IDM, glitch and ambient with math rock, R&B and more. After releasing two albums in 2022 — for Ghostly International and Phantom Limb — and playing the Southbank Centre with the London Contemporary Orchestra, she meets Eoin Murray to discuss reimagining the works of American avant-garde composer Julius Eastman, expressing emotion through music, and staying true to her instincts
If you'd have told Loraine James a year ago that on a Sunday night in October 2022 she'd be performing at London's Southbank Centre alongside...
Loraine James releases new album, 'Building Something Beautiful For Me', on Phantom Limb: Listen
Loraine James has released her new album, 'Building Something Beautiful For Me'.
Out today (7th October) on Phantom Limb, it's her third album to date...
Loraine James shares new single, 'Choose To Be Gay (Femenine)': Listen
Loraine James has shared a new single, 'Choose To Be Gay (Femenine)'.
Taken from the artist's forthcoming album, 'Building Something Beautiful For Me', on...


text:
Home/Covid/USA: weekly coronavirus cases fell by half in May
USA: weekly coronavirus cases fell by half in May
Regarding the vaccination plan, 167,157,043 people over the age of 18 have already received at least one dose of the COVID-19 vaccine, which is half of the Americans of these ages
The Centers for Disease Control and Prevention of the United States (CDC, for its acronym in English) have reported this Saturday of almost 22,000 new cases of coronavirus, which means that weekly coronavirus cases in the country have been reduced to half during the month of May.
In the United States, coronavirus infections are at their lowest levels since June 2020 and deaths from the disease are on a downward trend, according to data collected by Johns Hopkins University and Bloomberg .
Regarding the status of the vaccination plan, 167,157,043 people over the age of 18 have already received at least one dose of the COVID-19 vaccine, which is half of the Americans of these ages . In total, 293,258,812 doses of the drug have been administered.
The United States accumulates a total of 33,249,494 cases and 594,268 since the start of the pandemic.
Meanwhile, the main cinema chains in the United States announced this Friday that they will not require a mask to be worn by those spectators who are already vaccinated against the coronavirus.
AMC, the largest chain of cinemas in the US, said in a statement that this decision is in line with the relaxation of measures against the pandemic that has been formulated by the Centers for Disease Control and Prevention (CDC).
"Viewers who are fully vaccinated will no longer be required to wear masks in AMC theaters, unless required by state or local regulations," he clarified.
AMC also detailed that those who are not vaccinated should wear a mask when they go to see a movie.
The US has already applied 293,705,050 vaccines. The spectacular figure means that 40.5% of the population is fully vaccinated and if they are over 65 years of age, 85.8% have already received one dose and 75% two. In addition, in almost all the states of the country, tourists are invited to get vaccinated for free. Is that maximizing the number of vaccinated in the coming months is essential for the United States that wants to restore a principle of normalcy around the July 4 holiday.
Regal and Cinemark, which are respectively the second and third largest cinema chain in the US, announced similar measures to those of AMC.
After a ruinous 2020 for cinemas due to the pandemic, the exhibition sector hopes to overcome the situation in 2021, which, thanks to vaccines, has brought the country closer to a situation that is increasingly similar to normality prior to the coronavirus .
Hollywood studios also hope to cash in this year and release the many blockbusters whose release on the big screen was delayed until the pandemic was under control.
US economy grew 1.6% in the first quarter
ANALYSIS | From prince to producer: Harry has a hit on his hands


Discover St. John signature knitwear, luxury touches and hand embellishment that define a modern timeless wardrobe of elegant, effortless chic.
Couture American Style. Established in Southern California by Co-Founder and then Chief Designer Marie Gray in 1962 with an iconic knit shift. Discover signature knitwear, luxe touches and hand embellishment that define a modern timeless wardrobe of elegant, effortless chic.
St. John Outlet is located at 4953 International Drive. Orlando, Florida US. St. John Outlet is a Clothing store type of establishment.
St. John Outlet has been serving their customers since 2010. St. John Outlet is rated a 5 star establishment. St. John Outlet offers a very inviting appearance. The decor here is modern and appealing.
St. John Outlet has one of the best selection's of dresses & jumpsuits that you may be looking for. St. John Outlet, typically has a wide selection of Clothing store goods. Aside from jackets, St. John Outlet, may also carry the jewelry you are looking for. St. John Outlet will be happy to deliver within business hours and location. While visiting St. John Outlet, you will see that they pay attention to detail and have a great maintenance staff. The lighting is fine at this establishment. It is easy to see around.
The reviews are in and they are fantastic! At St. John Outlet you will always find the luxury knitwear you are looking for. St. John Outlet has a loyalty card for our regular patrons.
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Scalabrini is partnering with Lady Liberty, a mobile legal office that travels to underprivileged and remote communities.
'Allan' was shortlisted in the London School of Economics Migration Film competition.
This short film follows Allan, a young man in South Africa, as he faces the consequences of being undocumented. Determined to create a better life for himself, Allan is forced to take extreme measures, resulting in life changing events.


text:
The Policy of MOF
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The Policy
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Application of the MLI to the Tax Treaty between Japan and Norway
The MLI enters into force for Japan on January 1, 2019, and for Norway on November 1, 2019.
Based on the reservations and notifications submitted by Japan on September 26, 2018 and by Norway on July 17, 2019, the MLI applies to the tax treaty between Japan and Norway as described below.
1. Tax treaty covered by the MLI
-"Convention between Japan and the Kingdom of Norway for the Avoidance of Double Taxation and the Prevention
of Fiscal Evasion with respect to Taxes on Income"
Date of signature: March 4, 1992
Date of entry into force: December 16, 1992
2. Provisions of the MLI applicable to the tax treaty
- Article 3(1) (Provisions regarding income derived by or through an entity or arrangement that is treated as
fiscally transparent)
- Article 4(1) (Provisions that provide rules for determining whether a person other than an individual shall be treated
as a resident of one of the Contracting Jurisdictions for the purposes of the tax treaty)
- Article 6(1) (Preamble language describing the intent of the Contracting Jurisdictions that the tax treaty will not
create opportunities for non-taxation or reduced taxation)
- Article 6(3) (Preamble language referring to a desire of the Contracting Jurisdictions to develop their economic
relationship and to enhance their co-operation in tax matters)
- Article 7(1) (Provisions that deny the benefits under the tax treaty where the principal purpose or one of the
principal purposes of any arrangement or transaction was to obtain those benefits)
- Article 12(1) and (2) (Provisions regarding an agent that is deemed to constitute a permeant establishment)
- Article 13(2) (Provisions regarding an activity that is deemed not to constitute a permanent establishment even if
the activity is carried on through a fixed place of business)
- Article 13(4) (Provisions for combining business activities carried on by closely related persons for the purpose of
determining whether a permanent establishment exists)
- Article 15 (Provisions for the definition of a person closely related to an enterprise)
- Article 16(1), 1st sentence (Provisions for presentation of a case of taxation not in accordance with the provisions
of the tax treaty for a mutual agreement procedure)
3. Entry into effect
The provisions of the MLI shall have effect in each Contracting Jurisdiction with respect to the tax treaty between Japan and Norway:
(a) with respect to taxes withheld at source on amounts paid or credited to non-residents, where the event giving
rise to such taxes occurs on or after January 1, 2020; and
(b) with respect to all other taxes levied by that Contracting Jurisdiction, for taxes levied with respect to taxable
periods beginning on or after May 1, 2020.
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First United Methodist Church of Leavenworth is the oldest Methodist congregation in Kansas. We have ministered with the people of Leavenworth since 1854. We have long roots and deep traditions–we are a church of the ages.
But, we are also a church, as an ancient hymn suggests, "serving the present age, our calling to fulfill!" We never lose sight of Jesus' call to make disciples, to love God, and to love our neighbors with all the creativity, innovation, and passion with which the Holy Spirit has endowed us.
So, we cherish the living tradition of the church even as we push forward in our desire to communicate the good news of God's love in Jesus Christ in ever fresh and inspiring ways.
We invite you to be a part of the living tradition of Leavenworth First United Methodist Church as we seek to grow in and serve present age!
Transform lives through sharing Christ's love and being a thriving, spirit-filled church.
Leavenworth First United Methodist is firmly rooted in the Biblical and historic faith of the Christian church throughout the ages. Although no one statement of faith captures all the richness or subtlety of our beliefs, the statement of faith known as the Apostle's Creed gives us a solid outline of the essentials of our faith: We believe in God; we believe in Jesus Christ; and, we believe in the Holy Spirit. We follow theWesleyan heritage and demonstrate hospitality.
Leavenworth First United Methodist Church is the oldest Methodist church in the state of Kansas. From our beginnings on the riverbank, we have a rich history and heritage. The building we worship in every Sunday is over 100 years old. If the stones of the sanctuary could talk, they would speak of faithful saints who served not only in this community but around the world. The vision of our church founders from many years ago has established our path of service today.
Just as it takes is one drop to start an infinite ripple through a pool of water, it only takes one person to begin a ripple of faith through a community and out into the world. For First United Methodist Church Leavenworth, that person was Rev. W. G. Caples. His service under a cottonwood tree in 1854, when the town wasn't much more than a rough frontier town, reached a small group of pioneers that started the waves of ministry and outreach that we belong to today.
A handful of people became 20, 30, 100, 500. The riverbank became a shack, a school-house, a stone building, a campus. Each wave of the journey was built upon the faith of the forefathers and mothers of the wave before. It wasn't easy — this congregation has survived outlaws, civil war, segregation, and modernization. Today, our ripples are many and far reaching. We are a church of the ages, serving the present age by making disciples for Christ and positively transforming our community and world. In many ways we are striving to reach that goal.
Jesus tells us to, "Go therefore and make disciples of all the nations," and we seek to do just that from the corner of 5th and Chestnut. Some families have been a part of this congregation for decades and others make us their faith home-away-from-home during their military years here. From the newest babies to our most senior members, we serve our church family, the local community, and missions abroad in a variety of ways.
Just like our church founders, we are committed to looking to the future and serving the coming age. With an ever changing, ever growing world, it is important that we attempt to meet tomorrow's needs, while also reclaiming our forerunners' vision of service and witness. It is our hope that our ministries and facilities will serve our community and world for 150 more years. The future is bright for this church!


text:
Claudia La Rocco on Claude Wampler, Nature Theater of Oklahoma, and Trisha Brown
Claude Wampler, N'a pas un gramme de charisma. (Not an ounce of charisma.), 2013. Performance view, The Kitchen, New York. Photo: Paula Court.
"BRILLIANT," the man behind me at the Kitchen exhaled, to himself and his date and anybody else within earshot on this particular Sunday afternoon, during the final performance of Claude Wampler's N'a pas un gramme de charisme. (Not an ounce of charisma.).
It was spoken in that reverent, self-satisfied stage whisper, where it's always ambiguous as to whether the person is speaking about the art, or himself for perceiving the art, or some combination of the two. And lo. Just then the woman onstage—well, technically on the risers where the audience typically sits but which in this case formed the stage, with the audience sitting on the literal stage—collapsed awkwardly backward in an inflated poof of shiny fabric.
Why do we go to the theater? What keeps us coming back to church? I thought about this vague question a lot this past weekend, a weekend over the course of which I spent thirteen full hours in the theater: one at Wampler; two watching the Trisha Brown Dance Company at the Brooklyn Academy of Music; and ten (in a row) at the Public Theater, for the Soho Rep. production of Nature Theater of Oklahoma's Life and Times: Episodes 1–4.
That's a lot of hours watching other people's lives. Maybe it's not so bad if it makes us feel something—even self-satisfied. Or maybe it is: "I think audiences really want somebody to entertain them and make them feel special," Wampler mentioned in an interview, reaffirming that she's trying to "refuse this demand."
This is a predictably condescending thing to say. But more to the point, where's the refusal? N'a pas un gramme de charisme., which is (wink wink) all about charisma, is a frothy, disaffected art-world spectacle, populated by John Tremblay's colorful chunky Flintstone-esque objects and camera-ready dancers (including, creepily but not nearly creepily enough, Wampler's eight-year-old daughter) and presided over by Mitch Margold's organ music. There's a bored and sometimes charmingly awkward seduction at play. Everything is pretty serious, even the awkwardness, and despite the funky sound, the only people who look like they are having sustained fun are the black dancers seen on grainy, 1970s-looking recorded footage. In her 1981 essay "A Criticism of Outrage," Jill Johnston remembered an event in 1952 in North Carolina, "where hundreds of black people danced freely to a disco band and refracted light displays. We whites were stamped on the backs of our hands with infrared numbers and herded to a balcony where we were allowed to watch."
It's all a little queasy-making. (But then, not nearly queasy-making enough.) So were the Katz Deli hotdogs served during our cafeteria-style dinner break in Life and Times. They were oddly satisfying (though not as satisfying as the pb&j sandwiches the audience got at Nature Theater's No Dice from 2007). And here I want to start inserting "like" and "um" and "you know" into my sentences, because this is a huge and happy part of the point of the company's productions, which feature unedited phone-conversation scripts
Nature Theater of Oklahoma, Life and Time: Episode 2, 2013. Performance view, The Public Theater, New York. Photo: Nature Theater of Oklahoma.
In this case the conversations were with one gal, Kristin Worrall, who performs with the company and who grew up in white middleclass New England suburbia. We get to hear all about it: the crushes, the fuzzy childhood memories, the humiliations and the triumphs and the brushes with less sheltered lives. Devastating social hierarchies. "Gay" as a playground catchall insult.
"Did it get stupider? Did we get bored with it? Maybe they got bored with it?" a friend mused after it was all over, as we hustled out into snowy, midnight SoHo. I dunno. But I found myself a little too entertained, and turned off by Worrall's continual references to people's looks and lack of intelligence. Put a recorder on anyone for eight hours and it doesn't stay pretty. Or eight seconds—Björk was at the Public that Saturday, along with a hefty chunk of the performance-world intelligentsia, and during our dessert break (brownies disappointingly free of additives) we watched an influential curator snapping a covert picture of her with his iPhone. Life and Times!
I don't know if we want art to make us feel special. Somehow I think it's more about movement—to catch us up in something urgent, no matter if it's the urgency of the mundane everyday, something we have to say "yes" or "no" to. I adore Nature Theater for its dogged insistence on that everyday, stylized just beyond an inch of its life. But the zipping between pathos and slyness wears me out. There are more "states" than California and New York.
There's New Jersey, for example. And Newark (Niweweorce), Trisha Brown's gorgeous anvil of a dance; to see the cast emerge exhausted and triumphant from its unrelenting geometries at the Brooklyn Academy of Music Friday night was pretty grand. Some of them probably weren't born yet when Brown made the dance, in 1987, when she and Donald Judd somehow dreamed up the idea of sending her valiant phrases cutting across a stage while his vibrant color scrims descended periodically like guillotines. And now they're all that remains: a mobile archive with no new material to store. Brown, who has been in ill health for years, wasn't in the theater, and her company faces that unsolvable dilemma of how to move forward now that she no longer is.
Brown's radical days are long behind her, and so it's doubtful her supporting staff will make the radical decision to fold up the tents for good. What's the right move here? Just like always in church, there's no one qualified to say.
— Claudia La Rocco


text:
KJ21
And thou shalt appoint Aaron and his sons, and they shall wait on their priest's office; and the stranger who cometh nigh shall be put to death."
And thou shalt appoint Aaron and his sons, and they shall keep their priesthood: and the stranger that cometh nigh shall be put to death.
So you shall appoint Aaron and his sons, and they shall observe and attend to their priesthood; but the layman (non-Levite) who approaches [the holy things] shall be put to death."
And you shall appoint Aaron and his sons, and they shall observe and attend to their priest's office; but the excluded [anyone daring to assume priestly duties or privileges who is not of the house of Aaron and called of God] who comes near [the holy things] shall be put to death.
And thou shalt appoint Aaron and his sons, and they shall wait on their priest's office: and the stranger that cometh nigh shall be put to death.
You are to appoint Aaron and his sons to carry out their priestly responsibilities, but any unauthorized person who comes near the sanctuary is to be put to death."
You will appoint Aaron and his sons to be responsible for the priesthood. Any other person who approaches will be put to death.
You are to appoint Aharon and his sons to carry out the duties of cohanim; anyone else who involves himself is to be put to death."
who have been appointed to be priests. Anyone else who tries to perform the duties of a priest must be put to death.
And Aaron and his sons shalt thou appoint that they may attend to their priest's office; and the stranger that cometh near shall be put to death.
To Aaron and to his sons, to whom they are delivered by the children of Israel. But thou shalt appoint Aaron and his sons over the service of priesthood. The stranger that approacheth to minister, shall be put to death.
"Appoint Aaron and his sons to be priests. They must do their duty and serve as priests. Anyone else who tries to come near the holy things must be killed."
EHV
But you will appoint Aaron and his sons, and they will serve in the priesthood. Any unauthorized person who goes near must be put to death."
And you shall appoint Aaron and his sons, and they shall guard their priesthood. But if any outsider comes near, he shall be put to death."
ESVUK
Appoint Aaron and his sons to serve as priests, but anyone else who comes near the holy things must be put to death."
And thou shalt appoint Aaron and his sons to execute their Priest's office: and the stranger that cometh near, shall be slain.
Appoint Aaron and his sons to serve as priests. Anyone else who tries to do the priests' duties must be put to death."
You shall appoint Aaron and his sons to carry out the duties of the priesthood; anyone else who tries to do so shall be put to death."
You are to appoint Aaron and his sons to carry out their priestly responsibilities, but any unauthorized person who comes near the sanctuary must be put to death."
Appoint Aaron and his sons to serve as priests. Anyone else who comes near the holy things must be put to death."
Appoint Aaron and his sons so that they are to take responsibility for their priesthood. Any unauthorized person who approaches it is to be put to death."
And thou shalt appoint Aaron and his sons that they shall guard their priesthood; and the stranger that comes near shall be put to death.
And thou shalt appoint Aaron and his sons, and they shall wait on their priest's office: and the stranger that cometh nigh shall be put to death.
AKJV
LEB
But you will count Aaron and his descendants; they will keep their priesthood, and the stranger who approaches will be put to death."
However, only Aaron and his sons may carry out the duties of the priesthood; anyone else who presumes to assume this office shall be executed."
God spoke to Moses. He said, "Bring forward the tribe of Levi and present them to Aaron so they can help him. They shall work for him and the whole congregation at the Tent of Meeting by doing the work of The Dwelling. Their job is to be responsible for all the furnishings of The Dwelling, ministering to the affairs of The Dwelling as the People of Israel come to perform their duties. Turn the Levites over to Aaron and his sons; they are the ones assigned to work full time for him. Appoint Aaron and his sons to minister as priests; anyone else who tries to elbow his way in will be put to death."
You will appoint Aaron and his sons, and they will attend to their priesthood, and the foreigner that approaches will be put to death.
But you will appoint only Aaron and his descendants to exercise the priesthood. Any unauthorized person who comes near shall be put to death.
So you shall appoint Aaron and his sons that they may keep their priesthood, but the layman who comes near shall be put to death."
So you are to appoint Aaron and his sons, and they will be responsible for their priesthood, but the unauthorized person who comes near must be put to death."
NIRV
Appoint Aaron and his sons to serve as priests. Anyone else who approaches the sacred tent must be put to death."
Appoint Aaron and his sons to serve as priests; anyone else who approaches the sanctuary is to be put to death."
So you shall appoint Aaron and his sons, and they shall attend to their priesthood; but the outsider who comes near shall be put to death."
NLV
Set apart Aaron and his sons to do the work of religious leaders. But if anyone comes near who is not a religious leader, he must be put to death."
Appoint Aaron and his sons to carry out the duties of the priesthood. But any unauthorized person who goes too near the sanctuary must be put to death."
But you shall make a register of Aaron and his descendants; it is they who shall attend to the priesthood, and any outsider who comes near shall be put to death.
NRSVA
NRSVACE
NRSVCE
OJB
And thou shalt appoint Aharon and his banim; they shall be shomer to watch over their kehunah; the zar that encroach shall be put to death.
And you shall appoint Aaron and his sons, and they shall attend to their priesthood; but if any one else comes near, he shall be put to death."
You are to appoint Aaron and his sons to maintain the priesthood; any commoner who approaches must be executed."
Aaron and his descendants alone are the priests. If any outsider gets involved, he will be killed.
You shall appoint Aaron and his sons, and they shall keep their priesthood, but the stranger who comes near shall be put to death."
WYC
Soothly thou shalt ordain Aaron and his sons on the religion of priesthood; a stranger that nigheth for to minister, shall die. (And thou shalt ordain Aaron and his sons to serve in the priesthood; a stranger who cometh near to try to minister, shall be put to death.)
`And Aaron and his sons thou dost appoint, and they have kept their priesthood, and the stranger who cometh near is put to death.'
Numbers 3:9Numbers 3:11
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text:
High Water Levels Expected In Great Lakes This Summer
Lake Michigan shoreline at Indiana Dunes National Lakeshore.
Diego Delso/CC-BY-SA 3.0
DETROIT (AP) — Experts are predicting higher-than-normal water levels on the Great Lakes this summer, some of which may set records.
The U.S. Army Corps of Engineers office in Detroit recently issued its latest six-month forecast for the lakes.
The Detroit News reports that Lake Superior is unusually high and by May could reach a record set in the mid-1980s. Lake Erie also could hit record highs in late spring.
Lakes Huron and Michigan should be above normal but aren't expected to break records.
No forecast was available for Lake Ontario, where levels are controlled.
Levels in some of the lakes were at record lows six years ago but have recovered.
Higher water means narrower beaches. But it helps commercial shippers, who don't have to worry about scraping bottom in shallow channels.
Tags:Great LakesLake MichiganU.S. Army Corps of Engineers
Public Affairs / November 20, 2022
As state moves forward with Lebanon industrial district, some worry "they don't have a clear plan"
Efforts are underway to build a massive, multi-billion dollar research and industrial park near Lebanon, Indiana. But as the project has grown, questions are being raised by both residents and the leaders of neighboring cities about what the project will look like - and what kind of resources it will require.
Public Affairs View More Articles
Public Affairs / February 8, 2019
A Water Crisis Is Growing In A Place You'd Least Expect It
The Great Lakes are one of the world's largest sources of fresh water, but many Americans in surrounding cities face a dark irony: They can't afford their rising water bills.


Bali has a tourist village where you can make an alternative when in the District Kintamani, Bangli District. Kawasa is famous for its mountainous areas with cool airy characteristics and of course the land is very fertile. If the readers are on holiday this area would not be disappointed, because it will be served pemandanagn nature is so fascinating. Discussing tourist attractions in Kintamani District can not be separated from tourist attractions that have been trekenal Lake Batur Kintamani. But that will be discussed on this page is not a place wiata lake, but will membaha Village Tourism Chess Kintamai which also has a natural beauty that is not to be outdone by other attractions around it. Catur Village Kintamani is an area of agro-tourism village which is supported by natural potential in its area. In addition, this area is also adjacent to the area of other agro-tourism village in the northern Badung regency of Petang Tourism Village. Okay just yes Guys, Kintamani Catur Village agrotourism apart from offering a beautiful natural beauty of the countryside. The village also offers a variety of agricultural produce and plantations typical of mountainous areas on the island of Bali. While in the village of Chess, in addition to the readers can enjoy the fresh air, can also see the area of fertile plantations, as well as coffee plantations, oranges and various other fruits. Your excitement will be complete by watching the activity of the farmers. In addition to the tour of course you can learn from the nursery to the processing of plantation products either pegolahan orange coffee orange. If when traveling to the village of Catur coincides during the orange harvest season, you can harvest and can even taste the fruit of fresh oranges. The pengalan of course will be memorable, all that did not close the possibility to bring citrus fruits to be made by-by. Interestingly again yes Sob, that the citrus fruit from the village of Chess is very sweet. This is because the process of planting until the fertilization process undertaken by farmers still use organic fertilizer. For those of you coffee lovers, of course, coffee products from Catur Village or trekenal with Kintamani Coffee should not be missed. It also can see directly the farmers doing coffee processing, ranging from coffee logs to become grain coffee which this product will be marketed abroad.
Address: Chess Village, Kintamai District, Bangli District, Bali Province, Indonesia.


text:
THE YOUTH MENTAL HEALTH CENTRE HAS A NEW NAME!
Calgary's first dedicated centre for child and adolescent mental health will be called The Summit: Marian & Jim Sinneave Centre for Youth Resilience — honouring the lead donors for the new facility while reflecting valuable sentiments from the community.
"We are so delighted the Sinneaves were open to letting the centre bear their name," says Saifa Koonar, President and CEO of the Alberta Children's Hospital Foundation. "While their initial desire to remain anonymous with their transformational gift speaks to their humility, we're honoured that they agreed to let us celebrate their unprecedented generosity in this way."
Purpose-built and designed to help children, teens and families with urgent mental health and substance use concerns. Open seven days a week. Self-referrals welcome.
INTENSIVE TREATMENT
Individual, group and family therapy provided within a concentrated time frame to help young people manage escalating issues and prevent the need for hospitalization.
Therapy and support for young people transitioning from a hospital admission back to their home and community. This service is for those who still need intensive therapy during the day, yet are ready to sleep at home at night.
This unique combination of crucial services will augment and integrate with the continuum of care currently provided by Alberta Health Services and agencies within our community.
Taylor's Story
NEW HOPE FOR EMERGING ADULTS
As Calgarians rallied to create The Summit: Marian & Jim Sinneave Centre for Youth Resilience, sobering facts heightened by the fallout from COVID-19 compelled the Alberta Children's Hospital Foundation to extend our Build Them Up campaign in support of an integrated clinical and research mental health initiative focused on helping 16- to 24-year-olds. This new venture will bring together clinicians and researchers with expertise in child, adolescent and adult psychiatry, psychology, social work and adolescent medicine to address significant gaps in knowledge and services and meet the needs of a population at a pivotal juncture.


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As part of the Summer Budget 2015, George Osborne announced plans to further advance corporation tax payments from companies with profits in excess of £20million.
From 6 April 2016, the way in which dividends are taxed will be overhauled.
The current tax regime is generally advantageous for non-UK domiciled individuals, despite some erosion of the benefits over successive governments.
As part of the Summer Budget 2015, George Osborne announced plans to provide HMRC with further investment of £750m.