## Coxeter groups – Characterization of Alcove addresses of weak order reference request

Leave $$Phi$$ be the root system of type $$A$$. Leave $$mathcal {A}$$ Be a niche of the corresponding affine disposition. the address (or Coordinates of shi) of $$mathcal {A}$$ It is a function $$k: Phi ^ + rightarrow mathbb {Z}$$ satisfactory
$$k ( epsilon_i – epsilon_j) <( lambda, epsilon_i – epsilon_j)
for all $$lambda in mathcal {A}$$. (Here $$( cdot, cdot)$$ It is the standard internal product in $$mathbb {R} ^ n$$.)

Leave $$leq_R$$ denote the correct weak order in $$widetilde {A} _n$$. by $$w in widetilde {A} _n$$, leave $$k_w$$ denote the address of the niche corresponding to $$w$$. The weak order is characterized by
$$u leq_R v iff | k_u | leq | k_v | text {y} text {sgn} (k_u) = text {sgn} (k_v),$$
where the signs are considered equal whenever $$k_u ( epsilon_i – epsilon_j) = 0$$.

I am looking for a reference for this characterization.

One can prove this in general by applying Theorem 4.5 of Humphreys Reflection groups and cooxter groups.. Also, connecting Theorem 4.1 of Shi & # 39; s On in two presentations of the Weyl-like groups of classical types with Theorem 5.3 of Bj$$ddot { text {o}}$$The related permutations of Rner and Brenti type A work. Is there anything more direct in literature?

## [WTS] Exmasters.com – * High quality * Dedicated hosting | Host tested by time

This is a discussion about Exmasters.com – * High quality * Dedicated hosting | Host tested by time | Support 24/7! within Webmaster Marketplace forums, part of the business category; Exmasters is a leading global provider of adult and high-speed web hosting, offering a new concept of affordable …

.

## [WTS] The most reliable hosting provider with affordable prices!

Legion box is a leading provider of VPS and dedicated server, which was created and has worked successfully for those who constantly need high performance, reliability, stability and server security.

Linux virtual private servers

With Legion box We provide the virtual server, RAM, storage and capacity without any overload.

Each VPS comes with:

– Bandwidth not measured;
– Instantaneous installation (without downtime);
– Free panel ISPmanagerLite 4;
– 7 day refund guarantee.
– Payment options: Paypal, Bitcoin, WebMoney and the main credit cards;
– High security (Tier III security level).

Xen VPS (most popular plans)

Choose one of the options: CentOS, Ubuntu, Debian, Fedora or CentOS in cPanel.
Available locations: United States, Los Angeles, Switzerland, Zurich, Germany, Nuremberg, Russia, Moscow

XenVps0.5
CPU: 1hE5-2680
RAM: 0.5 GB
Disk space: 15 GB
\$ 7 / month
ORDER

XenVps1
CPU: 2хE5-2680
RAM: 1 GB
Disk space: 25 GB
\$ 11.99 / month
ORDER

XenVps2
CPU: 2хE5-2680
RAM: 2 GB
Disk space: 50 GB
\$ 23.99 / month
ORDER

Do you need another configuration for XEN VPS? See more options here: https://legionbox.com/virtual-servers/

SSD VPS (most popular plans)

Choose one of the options: CentOS, Ubuntu, Debian, Fedora or Windows.
Available locations: USA, Los Angeles, Switzerland, Zurich, Germany, Nuremberg.

SSDVPS2
CPU: 1hE5-2680
RAM: 2 GB
Disk space: 20 GB
\$ 9.95 / month
ORDER

SSDVPS4
CPU: 2хE5-2680
RAM: 4 GB
Disk space: 30 GB
\$ 19.95 / month
ORDER

Do you need another configuration for SSD VPS? See more options here: https://legionbox.com/virtual-servers/

In Legionbox you can also get Windows VPS starting at \$ 11.99 / month >>>>

WinVps1
CPU: 2хE5-2680
RAM: 1 GB
Disk space: 25 GB
\$ 11.99 / month
ORDER

WinVps4
CPU: 2хE5-2680
RAM: 4 GB
Disk space: 80 GB
\$ 44.99 / month
ORDER

Check here for more Windows VPS

Do you need dedicated server? Check the best and fastest dedicated Windows and Linux servers here!

I have a question?
Feel free to open a ticket

https://legionbox.com/

.

## Ordinary differential equations: calculation of the variable speed in time and the final speed through second order EDO

I have to work with an example of physics to strengthen my understanding of the second law of Newton's movement through second-order ODE.

I have been given the following configurations: that the parachutist is descending under a parachute at a constant rate, where t is time; and I have to assume displacement and zero velocity at time zero.

$$frac {d ^ 2y} {dt ^ 2} + frac {k} m ^ {} frac {dy} {dt} = g$$

I have come to the following general solution and (t):

$$y (t) = A + Be ^ {- frac {kx} {m}} + g frac {m} {k} t$$

If I set the displacement and velocity at time zero, I got:

$$A = -B = -g frac {m ^ 2} {k ^ 2}$$

From that point, how can I calculate:

1. Vertical speed variable in time?
2. Final velocity corresponding to the velocity of the parachutist when descending at a constant speed?

## In Trello, is there any way to see all the cards assigned to me within a specific team and then assign them an order?

I am a member of the Trello team, where the meetings correspond to individual projects, each list of a project corresponds to a type of task. (for example, errors, characteristics, etc.), and each card is an individual task. The cards that I need to complete are assigned to me.

These cards do not have an established expiration date, but there is a priority order for them that is not currently represented in Trello and I would like to fix it. I'm not sure what method I can use to see them in one place and then organize them in that order of priority to be aware of what I have to do.

Is there any way I can see all the cards assigned to me in one place, Y change your order to the order in which I need to complete them, regardless of which table or list they come from? Basically, I want a personal list of "all the cards" that I must complete.

I am open to using power-ups or third-party software to achieve this.

I am also willing to talk to my project manager and suggest a completely different method to organize the cards in Trello if what I am looking for is to go too much against the grain. I will say that I like this particular way of organizing things: I like that my conceptual separations are discrete and are visually represented, and the use of different tables / lists in this way makes the labels do not, although the labels are very different . More powerful and flexible. However, not having a single canonical task list is a serious problem.

## 8 – Allow the Order item type field to be displayed in some Commerce 2 products, but hidden in others?

I have two types of products on my website: Shipping Products and Non-Shipping Products. I have several shipping products established. One of those Shippable Products needs a custom field to collect a serial number; The other shipping products do not need this field.

I have set a text field "Serial number" in the default "Order item type" and added it to the Add to cart form screen. Now it is displayed on all the pages of products that can be sent. How can I show it only in the enviable Product that needs it and avoid showing it in other products that do not need it?

Or is there a different way to do it?

Thank you

## [WTS] Warez-Host.Com – Offshore XEN and OpenVZ VPS Europe – 15% DISCOUNT

Hi all

Warez-Host was founded in 2007 and offers high quality, reliable and affordable offshore hosting services.
We have a solid and guaranteed infrastructure to serve you in the coming years.

Warez-Host adapts standard VPS server plans to the needs of web application developers, businesses and web hosting resellers.

All servers are fully managed by our team of experts according to your request.

[COLOR=RoyalBlue]
Characteristics of the VPS:[/COLOR]

[COLOR=RoyalBlue]*[/COLOR] Servers Xeon E5-2440 v2 with dual processor, 64 GB of DDR3 RAM
[COLOR=RoyalBlue]*[/COLOR] Servers Xeon E5-2620 v4 with dual processor, 64 GB of DDR3 RAM
[COLOR=RoyalBlue]*[/COLOR] Solid state disk (SSD servers)
[COLOR=RoyalBlue]*[/COLOR] More than 12 years of experience in the hospitality industry.
[COLOR=RoyalBlue]*[/COLOR] Live chat support
[COLOR=RoyalBlue]*[/COLOR] 99.9% availability guarantee
[COLOR=RoyalBlue]*[/COLOR] 1 Gbps dedicated uplink port
[COLOR=RoyalBlue]*[/COLOR] Competitive price
[COLOR=RoyalBlue]*[/COLOR] Fully managed servers
[COLOR=RoyalBlue]*[/COLOR] OpenVZ / Xen virtualizations
[COLOR=RoyalBlue]*[/COLOR] Control panel SolusVM
[COLOR=RoyalBlue]*[/COLOR] Real RDNS
[COLOR=RoyalBlue]*[/COLOR] 24×7 monitoring

[COLOR=RoyalBlue] Network and facilities:[/COLOR]
[COLOR=RoyalBlue]*[/COLOR] Fast, secure and stable network
[COLOR=RoyalBlue]*[/COLOR] High performance servers within our private placement in Europe
[COLOR=RoyalBlue]*[/COLOR] Choice of network location: Netherlands / Bulgaria / Sweden / Russia

USE COUPON CODE [COLOR=Red]SAVEON15V [/COLOR]TO RECEIVE 15% DISCOUNT OF LIFE

Linux VPS plans with discount prices:

[COLOR=Red]==========================================
VPS-NL / BG / SE / RU 1
==========================================[/COLOR]
[COLOR=Red]-[/COLOR] Storage: 30 GB
[COLOR=Red]-[/COLOR] Guaranteed memory: 1024 MB
[COLOR=Red]-[/COLOR] 2 CPUs
[COLOR=Red]-[/COLOR] Monthly bandwidth: 1000 GB
[COLOR=Red]-[/COLOR] Server locations: Netherlands / Bulgaria / Sweden / Russia
[COLOR=Red]-[/COLOR] 1 Gbps network connection
[COLOR=Red]-[/COLOR] Fully managed server
[COLOR=Red]-[/COLOR] OpenVZ / Xen
~ [COLOR=Red]Monthly price: \$ 17[/COLOR] (Promotional code: [COLOR=Red]SAVEON15V[/COLOR])
Order now – [COLOR=RoyalBlue]Netherlands[/COLOR]
Order now – [COLOR=RoyalBlue]Bulgaria[/COLOR]
Order now – [COLOR=RoyalBlue]Sweden[/COLOR]

[COLOR=Red]==========================================
VPS-NL / BG / SE / RU 2
==========================================[/COLOR]
[COLOR=Red]-[/COLOR] Storage: 50 GB
[COLOR=Red]-[/COLOR] Guaranteed memory: 2048 MB
[COLOR=Red]-[/COLOR] 2 CPUs
[COLOR=Red]-[/COLOR] Monthly bandwidth: 1500 GB
[COLOR=Red]-[/COLOR] Server locations: Netherlands / Bulgaria / Sweden / Russia
[COLOR=Red]-[/COLOR] 1 Gbps network connection
[COLOR=Red]-[/COLOR] Fully managed server
[COLOR=Red]-[/COLOR] OpenVZ / Xen
~ [COLOR=Red]Monthly price: \$ 25.5[/COLOR] (Promotional code: [COLOR=Red]SAVEON15V[/COLOR])
Order now – [COLOR=RoyalBlue]Netherlands[/COLOR]
Order now – [COLOR=RoyalBlue]Bulgaria[/COLOR]
Order now – [COLOR=RoyalBlue]Sweden[/COLOR]

[COLOR=Red]
==========================================
VPS-NL / BG / SE / RU 4
==========================================[/COLOR]
[COLOR=Red]-[/COLOR] Storage: 100 GB
[COLOR=Red]-[/COLOR] Guaranteed memory: 4096 MB
[COLOR=Red]-[/COLOR] 4 CPUs
[COLOR=Red]-[/COLOR] Monthly bandwidth: 2500 GB
[COLOR=Red]-[/COLOR] Server locations: Netherlands / Bulgaria / Sweden / Russia
[COLOR=Red]-[/COLOR] 1 Gbps network connection
[COLOR=Red]-[/COLOR] Fully managed server
[COLOR=Red]-[/COLOR] OpenVZ / Xen
~ [COLOR=Red]Monthly price: \$ 51[/COLOR] (Promotional code: [COLOR=Red]SAVEON15V[/COLOR])
Order now – [COLOR=RoyalBlue]Netherlands[/COLOR]
Order now – [COLOR=RoyalBlue]Russia[/COLOR]
Order now – [COLOR=RoyalBlue]Bulgaria[/COLOR]

Windows VPS plans with discount prices:

[COLOR=Red]==========================================
WS-NL / BG / SE 1
==========================================[/COLOR]
[COLOR=Red]-[/COLOR] Storage: 30 GB
[COLOR=Red]-[/COLOR] Dedicated memory: 1024 MB
[COLOR=Red]-[/COLOR] 2 CPUs
[COLOR=Red]-[/COLOR] Monthly bandwidth: 1000 GB
[COLOR=Red]-[/COLOR] Server locations: Netherlands / Bulgaria / Sweden
[COLOR=Red]-[/COLOR] 1 Gbps network connection
[COLOR=Red]-[/COLOR] Fully managed server
~ [COLOR=Red]Monthly price: \$ 23.80[/COLOR] (Promotional code: [COLOR=Red]SAVEON15V[/COLOR])
Order now – [COLOR=RoyalBlue]Netherlands[/COLOR]
Order now – [COLOR=RoyalBlue]Sweden[/COLOR]
Order now – [COLOR=RoyalBlue]Bulgaria[/COLOR]

[COLOR=Red]
==========================================
WS-NL / BG / SE 2
==========================================[/COLOR]
[COLOR=Red]-[/COLOR] Storage: 50 GB
[COLOR=Red]-[/COLOR] Dedicated memory: 2048 MB
[COLOR=Red]-[/COLOR] 2 CPUs
[COLOR=Red]-[/COLOR] Monthly bandwidth: 1500 GB
[COLOR=Red]-[/COLOR] Server locations: Netherlands / Bulgaria / Sweden
[COLOR=Red]-[/COLOR] 1 Gbps network connection
[COLOR=Red]-[/COLOR] Fully managed server
~ [COLOR=Red]Monthly price: \$ 32.30[/COLOR] (Promotional code: [COLOR=Red]SAVEON15V[/COLOR])
Order now – [COLOR=RoyalBlue]Netherlands[/COLOR]
Order now – [COLOR=RoyalBlue]Sweden[/COLOR]
Order now – [COLOR=RoyalBlue]Bulgaria[/COLOR]

[COLOR=Red]==========================================
WS-NL / BG / SE 3
==========================================[/COLOR]
[COLOR=Red]-[/COLOR] Storage: 70 GB
[COLOR=Red]-[/COLOR] Dedicated memory: 3072 MB
[COLOR=Red]-[/COLOR] 3 CPUs
[COLOR=Red]-[/COLOR] Monthly bandwidth: 2000 GB
[COLOR=Red]-[/COLOR] Server locations: Netherlands / Bulgaria / Sweden
[COLOR=Red]-[/COLOR] 1 Gbps network connection
[COLOR=Red]-[/COLOR] Fully managed server
~ [COLOR=Red]Monthly price: \$ 45.90[/COLOR] (Promotional code: [COLOR=Red]SAVEON15V[/COLOR])
Order now – [COLOR=RoyalBlue]Netherlands[/COLOR]
Order now – [COLOR=RoyalBlue]Sweden[/COLOR]
Order now – [COLOR=RoyalBlue]Bulgaria[/COLOR]

[COLOR=Red]._._._._._._._._._._._._._._._._._._._._._._._._._ ._ ._._._._._._._._._._._._._._._._._._.[/COLOR]

[COLOR=RoyalBlue]Available operating systems:[/COLOR]
[COLOR=RoyalBlue]*[/COLOR] CentOS
[COLOR=RoyalBlue]*[/COLOR] Debian
[COLOR=RoyalBlue]*[/COLOR] Ubuntu
[COLOR=RoyalBlue]*[/COLOR] Fedora
[COLOR=RoyalBlue]*[/COLOR] Slackware
[COLOR=RoyalBlue]*[/COLOR] Windows 2008
[COLOR=RoyalBlue]*[/COLOR] Windows 2012

[COLOR=RoyalBlue]Control panels available:[/COLOR]
[COLOR=RoyalBlue]*[/COLOR] cPanel / WHM (All available add-ons)
[COLOR=RoyalBlue]*[/COLOR] Webmin
[COLOR=RoyalBlue]*[/COLOR] Kloxo

[COLOR=RoyalBlue]Payment methods:[/COLOR]
[COLOR=RoyalBlue]*[/COLOR] PayPal
[COLOR=RoyalBlue]*[/COLOR] Credit cards
[COLOR=RoyalBlue]*[/COLOR] Wire transfer
[COLOR=RoyalBlue]*[/COLOR] Skrill (MoneyBookers)
[COLOR=RoyalBlue]*[/COLOR] perfect money
[COLOR=RoyalBlue]*[/COLOR] WebMoney
[COLOR=RoyalBlue]*[/COLOR] BitCoin

If you need to test the performance of our high-speed network, we provide download and IP files to test the speed of our network. Feel free to contact us
sales @ warez-host com

[COLOR=RoyalBlue]Response times:[/COLOR]
We offer a guaranteed response time of 30 minutes for all support tickets. Most problems will be resolved in 2 hours. Experienced technicians will work on your request to guarantee the minimum resolution time. The average resolution time is 2 hours.

Do not delay, start today!
No contracts – Cancel at any time!
Instant configuration!
Migration of free websites!

We can help you with the complete data migration, free of charge.

Do you need something customized to your needs? Contact us and we will create a Specialized Plan just for you!

Warez-Host.Com is a division of IWS network solutions
Take a look at what our Real Customers say about us: warez-host com / testimonials php
If you have any questions, please send an email to sales @ warez-host com

Thank you for taking the time to read our Offers.

.

## mysql: the order of the three tables is correct but the values ​​are false

I have those tables

``````                    Table 1
| id | name |
| 1 | ax
| 2 | arc
| 3 | car |
| 4 | dart

table2 table3
| t1_id | number | | t1_id | letter |
| 1 | 5 | | 1 | a |
| 1 | 6 | | 1 | b |
| 1 | 2 | | 1 | c |
| 2 | 2 | | 2 | a |
| 2 | 2 | | 2 | c |
| 2 | 3 | | 2 | r |
| 3 | 8 | | 3 | and |
| 3 | 3 | | 3 | i |
| 3 | 1 | | 3 | a |
| 4 | 8 | | 4 | a |
| 4 | 9 | | 4 | b |
| 4 | 10 | | 4 | c |
``````

Y table1 (id) is linked with table2 (t1_id), table3 (t1_id)

I execute it to order them by the highest account_letter party then by the highest average number match to get this appropriate result http://www.sqlfiddle.com/#!9/69086b/8/0

``````SELECT
t1.id,
t1.name

SINCE
table1 t1

UNIT INTERNALLY
table2 t2
IN t2.t1_id = t1.id

Join on the left
table3 t3
IN t3.t1_id = t1.id
AND t3.letter IN (& # 39 ;, & # 39; b & # 39 ;, & # 39; c & # 39;)

GROUP BY
t1.id

ORDER BY
COUNT (t3.letter) DESC,
AVG (t2.number) DESC
``````

``````| id | name |
| 4 | dart
| 1 | ax
| 2 | arc
| 3 | car |
``````

and everything is working well

but when I wanted to check if there is any problem with the query, I decided to verify the letter_count Y avg_number so I used this query

``````SELECT
t1.id,
t1.name,
COUNT (t3.letter) LIKE letter_count,
AVG (t2.number) AS avg_number

SINCE
table1 t1

UNIT INTERNALLY
table2 t2
IN t2.t1_id = t1.id

JOIN LEFT
table3 t3
IN t3.t1_id = t1.id
AND t3.letter IN (& # 39 ;, & # 39; b & # 39 ;, & # 39; c & # 39;)

GROUP BY
t1.id

ORDER BY
letter_count DESC,
avg_number DESC
``````

what I expected to be the result

``````| id | name | letter_count | avg_number |
| 4 | Dart 3 | 9 |
| 1 | ax 3 | 4.3333333333 |
| 2 | arch 2 | 2.3333333333 |
| 3 | car | 1 | 4 |
``````

but the result I got was http://www.sqlfiddle.com/#!9/69086b/3/0

``````| id | name | letter_count | avg_number |
| 4 | dart 9 | 9 |
| 1 | ax 9 | 4.3333333333 |
| 2 | arch 6 | 2.3333333333 |
| 3 | car | 3 | 4 |
``````

I'm supposed to be worried about how the letter_count it multiplies three times in the future or it just happens when I want to select the values ​​and nothing bad will happen if I keep it `ORDER BY`?

I just want them to be ordered correctly, which is what I got, but checking the values ​​showed me that letter_count it multiplies many times, so I'm confused about its performance or the letter_count Can it be ignored and the performance will not be affected?

## Google Sheets: Matrix formula to add letters after duplicate numbers in order

Late,

The following formula adds a letter after a sequential number, A, B, C, D, etc. for the same number until you find a new number, then start again from A.

Do I need help to convert this into a matrix formula, if possible?

``````= J3 & CHAR (96 + COUNTIF (J \$ 3: J3, J3))
``````

I tried it this way, and depending on if I modify J3: J3, do I get A or D at the end of the number?

``````= {""; arrayformula (J3: J & CHAR (96 + COUNTIF (J \$ 3: J, J3: J)))}
``````

The formula as a single line pushes down the next one.